subject:(finite difference scheme)

University of California – Berkeley

1. Smart, Charles Krug. On the infinity Laplacian and Hrushovski's fusion.

Degree: Mathematics, 2010, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/1n21d3z7

► We study viscosity solutions of the partial differential equation - Δ_∞ u = f {in } U, where U \subseteq \Rⁿ is bounded and open,… (more)

Subjects/Keywords: Mathematics; amalgamation construction; comparison principal; finite difference scheme; viscosity solution

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APA (6^th Edition):

Smart, C. K. (2010). On the infinity Laplacian and Hrushovski's fusion. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/1n21d3z7

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Smart, Charles Krug. “On the infinity Laplacian and Hrushovski's fusion.” 2010. Thesis, University of California – Berkeley. Accessed April 10, 2021. http://www.escholarship.org/uc/item/1n21d3z7.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Smart, Charles Krug. “On the infinity Laplacian and Hrushovski's fusion.” 2010. Web. 10 Apr 2021.

Vancouver:

Smart CK. On the infinity Laplacian and Hrushovski's fusion. [Internet] [Thesis]. University of California – Berkeley; 2010. [cited 2021 Apr 10]. Available from: http://www.escholarship.org/uc/item/1n21d3z7.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Smart CK. On the infinity Laplacian and Hrushovski's fusion. [Thesis]. University of California – Berkeley; 2010. Available from: http://www.escholarship.org/uc/item/1n21d3z7

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Pretoria

2. Terefe, Yibeltal Adane. Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models.

Degree: Mathematics and Applied Mathematics, 2012, University of Pretoria

URL: http://hdl.handle.net/2263/24917

► The classical SIR and SIS epidemiological models are extended by considering the number of adequate contacts per infective in unit time as a function of… (more)

Subjects/Keywords: Sis and sir epidemiological models; Nonstandard finite difference scheme; Nsfd; UCTD

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APA (6^th Edition):

Terefe, Y. A. (2012). Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models. (Masters Thesis). University of Pretoria. Retrieved from http://hdl.handle.net/2263/24917

Chicago Manual of Style (16^th Edition):

Terefe, Yibeltal Adane. “Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models.” 2012. Masters Thesis, University of Pretoria. Accessed April 10, 2021. http://hdl.handle.net/2263/24917.

MLA Handbook (7^th Edition):

Terefe, Yibeltal Adane. “Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models.” 2012. Web. 10 Apr 2021.

Vancouver:

Terefe YA. Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models. [Internet] [Masters thesis]. University of Pretoria; 2012. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/2263/24917.

Council of Science Editors:

Terefe YA. Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models. [Masters Thesis]. University of Pretoria; 2012. Available from: http://hdl.handle.net/2263/24917

King Abdullah University of Science and Technology

3. Briantceva, Nadezhda. Fundamental Molecular Communication Modelling.

Degree: Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, 2020, King Abdullah University of Science and Technology

URL: http://hdl.handle.net/10754/664850

► As traditional communication technology we use in our day-to-day life reaches its limitations, the international community searches for new methods to communicate information. One such… (more)

Subjects/Keywords: Molecular communication; Finite difference scheme; Discontinuous Galerkin; Channel modelling

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APA (6^th Edition):

Briantceva, N. (2020). Fundamental Molecular Communication Modelling. (Thesis). King Abdullah University of Science and Technology. Retrieved from http://hdl.handle.net/10754/664850

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Briantceva, Nadezhda. “Fundamental Molecular Communication Modelling.” 2020. Thesis, King Abdullah University of Science and Technology. Accessed April 10, 2021. http://hdl.handle.net/10754/664850.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Briantceva, Nadezhda. “Fundamental Molecular Communication Modelling.” 2020. Web. 10 Apr 2021.

Vancouver:

Briantceva N. Fundamental Molecular Communication Modelling. [Internet] [Thesis]. King Abdullah University of Science and Technology; 2020. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/10754/664850.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Briantceva N. Fundamental Molecular Communication Modelling. [Thesis]. King Abdullah University of Science and Technology; 2020. Available from: http://hdl.handle.net/10754/664850

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Vilnius University

4. Jachimavičienė, Justina. Pseudoparabolinės lygties su nelokaliosiomis integralinėmis sąlygomis sprendimas baigtinių skirtumų metodu.

Degree: Dissertation, Mathematics, 2013, Vilnius University

URL: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160857-77446 ;

►

Disertacijoje išnagrinėta trečiosios eilės vienmatė pseudoparabolinė lygtis su dviejų tipų nelokaliosiomis sąlygomis. Šiems uždaviniams spręsti sudarytos skirtuminės schemos, kurių stabilumas tiriamas, taikant skirtuminių operatorių su… (more)

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Disertacijoje išnagrinėta trečiosios eilės vienmatė pseudoparabolinė lygtis su dviejų tipų nelokaliosiomis sąlygomis. Šiems uždaviniams spręsti sudarytos skirtuminės schemos, kurių stabilumas tiriamas, taikant skirtuminių operatorių su nelokaliosiomis sąlygomis spektro struktūrą. Trečiosios eilės vienmatėms ir dvimatėms pseudoparabolinėms lygtims su integralinėmis sąlygomis sudarytos ir išnagrinėtos padidinto tikslumo skirtuminės schemos. Išnagrinėta dvimatė pseudoparabolinė lygtis su nelokaliosiomis integralinėmis sąlygomis viena koordinačių kryptimi. Tokiam uždaviniui spręsti pritaikytas ir išnagrinėtas lokaliai vienmatis metodas, ištirtos šio metodo stabilumo sąlygos. Taip pat išnagrinėtos: trisluoksnės skirtuminės schemos vienmatei pseudoparabolinei lygčiai su įvairiomis, taip pat ir nelokaliosiomis, sąlygomis; trisluoksnių išreikštinių skirtuminių schemų stabilumo sąlygos.

The thesis analyzes the third-order one-dimensional pseudoparabolic equations with two types of nonlocal conditions. The stability of difference schemes for this problem was studied using the analysis of the spectrum structure of a difference operator with nonlocal conditions. The analysis of the increased accuracy difference schemes for third-order one-dimensional and two-dimensional pseudoparabolic equations with integral conditions has been made. The thesis considers a two-dimensional pseudoparabolic equation with nonlocal integral conditions in one coordinate direction. This problem was solved by a locally one-dimensional method. The stability of a difference scheme has been investigated based on the spectrum structure. The doctoral disertation investigates three-layer difference schemes for one-dimensional pseudoparabolic equations with various, including nonlocal, conditions. Also, the conditions for the stability of three-layer explicit difference schemes have been explored.

Advisors/Committee Members: PILECKAS, KONSTANTINAS (Doctoral dissertation committee member), AUGUTIS, JUOZAS (Doctoral dissertation committee member), BIKELIS, ALGIMANTAS JONAS (Doctoral dissertation committee member), ČIEGIS, RAIMONDAS (Doctoral dissertation committee member), ŠTIKONAS, ARTŪRAS (Doctoral dissertation committee member), IVANAUSKAS, FELIKSAS (Doctoral dissertation opponent), KLEIZA, VYTAUTAS (Doctoral dissertation opponent).

Subjects/Keywords: Pseudoparabolinė lygtis; Skirtuminės schemos stabilumas; Baigtinių skirtumų metodas; Trisluoksnės išreikštinės schemos; Pseudoparabolic differencial equation; Stability of difference scheme; Finite difference method; Three layer explicit difference scheme

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Jachimavičienė, J. (2013). Pseudoparabolinės lygties su nelokaliosiomis integralinėmis sąlygomis sprendimas baigtinių skirtumų metodu. (Doctoral Dissertation). Vilnius University. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160857-77446 ;

Chicago Manual of Style (16^th Edition):

Jachimavičienė, Justina. “Pseudoparabolinės lygties su nelokaliosiomis integralinėmis sąlygomis sprendimas baigtinių skirtumų metodu.” 2013. Doctoral Dissertation, Vilnius University. Accessed April 10, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160857-77446 ;.

MLA Handbook (7^th Edition):

Jachimavičienė, Justina. “Pseudoparabolinės lygties su nelokaliosiomis integralinėmis sąlygomis sprendimas baigtinių skirtumų metodu.” 2013. Web. 10 Apr 2021.

Vancouver:

Jachimavičienė J. Pseudoparabolinės lygties su nelokaliosiomis integralinėmis sąlygomis sprendimas baigtinių skirtumų metodu. [Internet] [Doctoral dissertation]. Vilnius University; 2013. [cited 2021 Apr 10]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160857-77446 ;.

Council of Science Editors:

Jachimavičienė J. Pseudoparabolinės lygties su nelokaliosiomis integralinėmis sąlygomis sprendimas baigtinių skirtumų metodu. [Doctoral Dissertation]. Vilnius University; 2013. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160857-77446 ;

Washington State University

5. [No author]. Numerical Methods for American Option Pricing with Nonlinear Volatility .

Degree: 2015, Washington State University

URL: http://hdl.handle.net/2376/5522

► Options are a fundamental and important type of financial derivatives with stocks as the underlying asset. Investors frequently trade options, making option pricing an important… (more)

▼ Options are a fundamental and important type of financial derivatives with stocks as the underlying asset. Investors frequently trade options, making option pricing an important research area in both finance and applied mathematics. There exist mathematical models describing option pricing, amongst which the best known model is the Black-Scholes Equation. The Black-Scholes Equation is a parabolic PDE on the option price as a function of stock price and time. The volatility is one of the crucial parameters in the Black-Scholes Equation with a great impact on the behavior of the option price. Most existing works in this area focus on the cases where the volatility is either a constant or a deterministic function of stock price and time. However, in real markets, such presumptions rarely hold. In this dissertation, we concentrate on the theoretical modeling and the numerical computations for the Black-Scholes Equation with uncertain and nonlinear volatility. First, we introduce a theoretical model for uncertain volatility. We derive several properties of the solutions to the Black-Scholes Equation with uncertain volatility based on the maximum principle of parabolic PDE initial boundary value problems. For American options, the global spread for the option price is proved when the volatility depends on the underlying security and time. This result is confirmed by the observed real financial data in option markets. The Black-Scholes Equation for American options is not readily solvable for exact solutions. It is imperative to study the numerical solutions to the Black-Scholes Equation for American options. Next, we introduce two mixed-type finite difference schemes for solving such equations with nonlinear volatility. We compare these schemes with the well-known explicit and implicit finite difference schemes by implementing the algorithms and running experiments. This dissertation is organized as follows: Chapter 1 is an introduction to option pricing theory; Chapter 2 focuses on theoretical model of uncertain volatility; Chapter 3 introduces the numerical methods; Chapter 4 shows the experiment results; Chapter 5 summarizes the work and points out some future research directions.

Subjects/Keywords: Mathematics; Finance; American option; Black-Scholes equation; finite difference scheme; Nonlinear volatility; numerical methods

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APA (6^th Edition):

author], [. (2015). Numerical Methods for American Option Pricing with Nonlinear Volatility . (Thesis). Washington State University. Retrieved from http://hdl.handle.net/2376/5522

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

author], [No. “Numerical Methods for American Option Pricing with Nonlinear Volatility .” 2015. Thesis, Washington State University. Accessed April 10, 2021. http://hdl.handle.net/2376/5522.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

author], [No. “Numerical Methods for American Option Pricing with Nonlinear Volatility .” 2015. Web. 10 Apr 2021.

Vancouver:

author] [. Numerical Methods for American Option Pricing with Nonlinear Volatility . [Internet] [Thesis]. Washington State University; 2015. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/2376/5522.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

author] [. Numerical Methods for American Option Pricing with Nonlinear Volatility . [Thesis]. Washington State University; 2015. Available from: http://hdl.handle.net/2376/5522

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Univerzitet u Beogradu

6. Hodžić, Sandra G., 1987-. Диференцијске схеме за решавање једначине субдифузије.

Degree: Matematički fakultet, 2016, Univerzitet u Beogradu

URL: https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get

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Matematika - Numeriqka matematika / Mathematics - Numerical mathematics

У последње време порасло је интересовање за моделирањем физичких и хемијских процеса једначинама у којима се… (more)

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Matematika - Numeriqka matematika / Mathematics - Numerical mathematics

У последње време порасло је интересовање за моделирањем физичких и хемијских процеса једначинама у којима се појављују изводи и интеграли разломљеног реда. Једна таква једначина је једначина субдифузије која се добија из дифузионе једначине заменом класичног извода по временској променљивој изводом реда а; где је 0 < а < 1: Предмет ове дисертације јесте почетно-гранични проблем за једначину субдифузије и његова апроксимација коначним разликама. Најпре је разматран једнодимензиони проблем. Показана је егзистенција и јединственост слабог реxења. Доказана је стабилност и изведена оцена брзина конвергенције имплицитне и схеме са тежином. Посебна пажња је посвећена дводимензионом проблему субдифузије, како са Лапласовим, тако и општим диференцијалним оператором другог реда. Претпоставка је да његови коефицијенти задовољавају стандардне услове елиптичности што гарантује постојање реxеша у одговарајућим просторима типа Собољева. У том случају су, поред горе поменутих, постављене још и адитивна и факторизована схема. Испитана је њихова стабилност као и брзина конвергенције у зависности од глаткости улазних података и генералисаног решења.

Advisors/Committee Members: Jovanović, Boško, 1946-.

Subjects/Keywords: subdiffusion equation; fractional derivative; finite differences; difference scheme; a priori estimate; stability; convergence rate

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Hodžić, Sandra G., 1. (2016). Диференцијске схеме за решавање једначине субдифузије. (Thesis). Univerzitet u Beogradu. Retrieved from https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Hodžić, Sandra G., 1987-. “Диференцијске схеме за решавање једначине субдифузије.” 2016. Thesis, Univerzitet u Beogradu. Accessed April 10, 2021. https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Hodžić, Sandra G., 1987-. “Диференцијске схеме за решавање једначине субдифузије.” 2016. Web. 10 Apr 2021.

Vancouver:

Hodžić, Sandra G. 1. Диференцијске схеме за решавање једначине субдифузије. [Internet] [Thesis]. Univerzitet u Beogradu; 2016. [cited 2021 Apr 10]. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hodžić, Sandra G. 1. Диференцијске схеме за решавање једначине субдифузије. [Thesis]. Univerzitet u Beogradu; 2016. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Vilnius University

7. Jachimavičienė, Justina. Solution of a pseudoparabolic equation with nonlocal integral conditions by the finite difference method.

Degree: PhD, Mathematics, 2013, Vilnius University

URL: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160906-66807 ;

►

The thesis analyzes the third-order one-dimensional pseudoparabolic equations with two types of nonlocal conditions. The stability of difference schemes for this problem was studied using… (more)

▼

The thesis analyzes the third-order one-dimensional pseudoparabolic equations with two types of nonlocal conditions. The stability of difference schemes for this problem was studied using the analysis of the spectrum structure of a difference operator with nonlocal conditions. The analysis of the increased accuracy difference schemes for third-order one-dimensional and two-dimensional pseudoparabolic equations with integral conditions has been made. The thesis considers a two-dimensional pseudoparabolic equation with nonlocal integral conditions in one coordinate direction. This problem was solved by a locally one-dimensional method. The stability of a difference scheme has been investigated based on the spectrum structure. The doctoral disertation investigates three-layer difference schemes for one-dimensional pseudoparabolic equations with various, including nonlocal, conditions. Also, the conditions for the stability of three-layer explicit difference schemes have been explored.

Disertacijoje išnagrinėta trečiosios eilės vienmatė pseudoparabolinė lygtis su dviejų tipų nelokaliosiomis sąlygomis. Šiems uždaviniams spręsti sudarytos skirtuminės schemos, kurių stabilumas tiriamas, taikant skirtuminių operatorių su nelokaliosiomis sąlygomis spektro struktūrą. Trečiosios eilės vienmatėms ir dvimatėms pseudoparabolinėms lygtims su integralinėmis sąlygomis sudarytos ir išnagrinėtos padidinto tikslumo skirtuminės schemos. Išnagrinėta dvimatė pseudoparabolinė lygtis su nelokaliosiomis integralinėmis sąlygomis viena koordinačių kryptimi. Tokiam uždaviniui spręsti pritaikytas ir išnagrinėtas lokaliai vienmatis metodas, ištirtos šio metodo stabilumo sąlygos. Taip pat išnagrinėtos: trisluoksnės skirtuminės schemos vienmatei pseudoparabolinei lygčiai su įvairiomis, taip pat ir nelokaliosiomis, sąlygomis; trisluoksnių išreikštinių skirtuminių schemų stabilumo sąlygos.

Advisors/Committee Members: PILECKAS, KONSTANTINAS (Doctoral dissertation committee member), AUGUTIS, JUOZAS (Doctoral dissertation committee member), BIKELIS, ALGIMANTAS JONAS (Doctoral dissertation committee member), ČIEGIS, RAIMONDAS (Doctoral dissertation committee member), ŠTIKONAS, ARTŪRAS (Doctoral dissertation committee member), IVANAUSKAS, FELIKSAS (Doctoral dissertation opponent), KLEIZA, VYTAUTAS (Doctoral dissertation opponent).

Subjects/Keywords: Pseudoparabolic differencial equation; Stability of difference scheme; Finite difference method; Pseudoparabolinė lygtis; Skirtuminės schemos stabilumas; Baigtinių skirtumų metodas

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Jachimavičienė, J. (2013). Solution of a pseudoparabolic equation with nonlocal integral conditions by the finite difference method. (Doctoral Dissertation). Vilnius University. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160906-66807 ;

Chicago Manual of Style (16^th Edition):

Jachimavičienė, Justina. “Solution of a pseudoparabolic equation with nonlocal integral conditions by the finite difference method.” 2013. Doctoral Dissertation, Vilnius University. Accessed April 10, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160906-66807 ;.

MLA Handbook (7^th Edition):

Jachimavičienė, Justina. “Solution of a pseudoparabolic equation with nonlocal integral conditions by the finite difference method.” 2013. Web. 10 Apr 2021.

Vancouver:

Jachimavičienė J. Solution of a pseudoparabolic equation with nonlocal integral conditions by the finite difference method. [Internet] [Doctoral dissertation]. Vilnius University; 2013. [cited 2021 Apr 10]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160906-66807 ;.

Council of Science Editors:

Jachimavičienė J. Solution of a pseudoparabolic equation with nonlocal integral conditions by the finite difference method. [Doctoral Dissertation]. Vilnius University; 2013. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130220_160906-66807 ;

Vytautas Magnus University

8. Skučaitė-Bingelė, Kristina. Uždavinio su viena dvitaške nelokaliąja sąlyga tyrimas.

Degree: Master, Mathematics, 2011, Vytautas Magnus University

URL: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111056-62790 ;

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Magistro darbe pateikiami nauji rezultatai, gauti tiriant diskretųjį Šturmo ir Liuvilio uždavinį su viena klasikine (arba Noimano) ir antra nelokalia dvitaške kraštine sąlyga. Analitinėje dalyje… (more)

Subjects/Keywords: Kompleksinės tikrinės reikšmės; Dvitaškės nelokaliosios kraštinės sąlygos; Baigtinių skirtumų schema; Complex eigenvalues; Two-point nonlocal boundary condition; Finite-difference scheme

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Skučaitė-Bingelė, K. (2011). Uždavinio su viena dvitaške nelokaliąja sąlyga tyrimas. (Masters Thesis). Vytautas Magnus University. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111056-62790 ;

Chicago Manual of Style (16^th Edition):

Skučaitė-Bingelė, Kristina. “Uždavinio su viena dvitaške nelokaliąja sąlyga tyrimas.” 2011. Masters Thesis, Vytautas Magnus University. Accessed April 10, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111056-62790 ;.

MLA Handbook (7^th Edition):

Skučaitė-Bingelė, Kristina. “Uždavinio su viena dvitaške nelokaliąja sąlyga tyrimas.” 2011. Web. 10 Apr 2021.

Vancouver:

Skučaitė-Bingelė K. Uždavinio su viena dvitaške nelokaliąja sąlyga tyrimas. [Internet] [Masters thesis]. Vytautas Magnus University; 2011. [cited 2021 Apr 10]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111056-62790 ;.

Council of Science Editors:

Skučaitė-Bingelė K. Uždavinio su viena dvitaške nelokaliąja sąlyga tyrimas. [Masters Thesis]. Vytautas Magnus University; 2011. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111056-62790 ;

Vytautas Magnus University

9. Skučaitė, Agnė. Skirtuminio uždavinio su nelokaliąja integraline kraštine sąlyga spektro tyrimas.

Degree: Master, Mathematics, 2011, Vytautas Magnus University

URL: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111501-83022 ;

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Šiame darbe pristatomi nauji rezultatai, gauti tiriant diskretųjį Šturmo ir Liuvilio uždavinį su viena klasikine o kita nelokaliąja integraline kraštine sąlyga. Pirmoje dalyje pristatomas diferencialinis… (more)

Subjects/Keywords: Baigtinių skirtumų schema; Nelokaliosios kraštinės sąlygos; Kompleksinės tikrinės reikšmės; Finite-difference scheme; Nonlocal boundary condition; Complex eigenvalues

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APA (6^th Edition):

Skučaitė, Agnė. (2011). Skirtuminio uždavinio su nelokaliąja integraline kraštine sąlyga spektro tyrimas. (Masters Thesis). Vytautas Magnus University. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111501-83022 ;

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Chicago Manual of Style (16^th Edition):

Skučaitė, Agnė. “Skirtuminio uždavinio su nelokaliąja integraline kraštine sąlyga spektro tyrimas.” 2011. Masters Thesis, Vytautas Magnus University. Accessed April 10, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111501-83022 ;.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

MLA Handbook (7^th Edition):

Skučaitė, Agnė. “Skirtuminio uždavinio su nelokaliąja integraline kraštine sąlyga spektro tyrimas.” 2011. Web. 10 Apr 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

Skučaitė, Agnė. Skirtuminio uždavinio su nelokaliąja integraline kraštine sąlyga spektro tyrimas. [Internet] [Masters thesis]. Vytautas Magnus University; 2011. [cited 2021 Apr 10]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111501-83022 ;.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Council of Science Editors:

Skučaitė, Agnė. Skirtuminio uždavinio su nelokaliąja integraline kraštine sąlyga spektro tyrimas. [Masters Thesis]. Vytautas Magnus University; 2011. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110615_111501-83022 ;

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

10. Carpentier, Justine. Identification des sources aéroacoustiques à partir de mesures vibratoires sur vitrages automobiles : Aeroacoustic source identification using vibration measurements on automotive glazing.

Degree: Docteur es, Acoustique, 2019, Le Mans

URL: http://www.theses.fr/2019LEMA1019

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Dans sa recherche constante pour améliorer le confort des usagers, l'industrie automobile cherche à réduire les nuisances sonores dans les habitacles automobiles. Une des principales… (more)

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Dans sa recherche constante pour améliorer le confort des usagers, l'industrie automobile cherche à réduire les nuisances sonores dans les habitacles automobiles. Une des principales sources responsables de la gêne ressentie est l'écoulement turbulent qui se développe autour de la voiture. Celui-ci est caractérisé par des variations de pressions pariétales particulièrement importantes et localisées en particulier sur les vitrages avants du véhicule. L'objectif de cette étude est de mesurer et de caractériser la sollicitation aéroacoustique subie par le vitrage à l'aide d'une méthode vibratoire inverse nommée RIC (Résolution Inverse Corrigée). Le principe est de mesurer le déplacement de la vitre et de le réinjecter dans l'équation inverse du mouvement de la structure pour calculer la pression pariétale. Cette technique repose sur la discrétisation d'un schéma aux différences finies judicieusement choisi suivant le filtrage visé. Il est alors possible de contrôler et choisir le filtrage apporté par le schéma en modifiant les coefficients qui le constituent. La démarche présentée repose sur la synthèse de filtres numériques et différentes approches sont proposées. Les différents schémas aux différences finies calculés à partir de ces méthodes sont appliqués, par simulations numériques et expérimentalement, sur le cas simple d'une plaque et sur les différents vitrages d'un véhicule placé en soufflerie.

In a constant search for user comfort, the automotive industry tries to reduce the annoying noises inside the passenger compartment of cars. These noises are mainly caused by the turbulence developed on the car window glass.Turbulent flow is characterized by particularly high wall pressure variations on the windows of the vehicle. The aim of this study is to measure the aeroacoustic load on the car window glass using the vibratory reverse method called Force Analysis Technique (FAT). The principle of this method is based on measuring the plate displacement field which is injected into the motion equation of the plate in order to calculate the force distribution exciting the structure. In order to do so, spatial derivatives are calculated by approximation using a judiciously selected finite difference model. It becomes possible to control and choose the filtering realized by the finite difference scheme by changing its coefficients. This technique is based on digital filter synthesis and different approaches are proposed. New finite different schemes are then applied on a plate and on car window glasses by computer simulations and experiments. Experiments are realized in an anechoïc wind tunel on a real car.

Advisors/Committee Members: Thomas, Jean-Hugh (thesis director), Pézerat, Charles (thesis director), Berry, Alain (thesis director).

Subjects/Keywords: Aéroacoustique; Vibration; Méthodes inverses; Schéma aux différences finies; Filtrage; Industrie automobile; Aeroacoustic; Inverse method; Finite difference scheme; Filtering; Automotive industry; 620.23

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Carpentier, J. (2019). Identification des sources aéroacoustiques à partir de mesures vibratoires sur vitrages automobiles : Aeroacoustic source identification using vibration measurements on automotive glazing. (Doctoral Dissertation). Le Mans. Retrieved from http://www.theses.fr/2019LEMA1019

Chicago Manual of Style (16^th Edition):

Carpentier, Justine. “Identification des sources aéroacoustiques à partir de mesures vibratoires sur vitrages automobiles : Aeroacoustic source identification using vibration measurements on automotive glazing.” 2019. Doctoral Dissertation, Le Mans. Accessed April 10, 2021. http://www.theses.fr/2019LEMA1019.

MLA Handbook (7^th Edition):

Carpentier, Justine. “Identification des sources aéroacoustiques à partir de mesures vibratoires sur vitrages automobiles : Aeroacoustic source identification using vibration measurements on automotive glazing.” 2019. Web. 10 Apr 2021.

Vancouver:

Carpentier J. Identification des sources aéroacoustiques à partir de mesures vibratoires sur vitrages automobiles : Aeroacoustic source identification using vibration measurements on automotive glazing. [Internet] [Doctoral dissertation]. Le Mans; 2019. [cited 2021 Apr 10]. Available from: http://www.theses.fr/2019LEMA1019.

Council of Science Editors:

Carpentier J. Identification des sources aéroacoustiques à partir de mesures vibratoires sur vitrages automobiles : Aeroacoustic source identification using vibration measurements on automotive glazing. [Doctoral Dissertation]. Le Mans; 2019. Available from: http://www.theses.fr/2019LEMA1019

Kyoto University / 京都大学

11. Tanaka, Daiki. Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography : CIPスキームの安定性解析とその拡散光トモグラフィへの基礎研究への応用について.

Degree: 博士(情報学), 2014, Kyoto University / 京都大学

URL: http://hdl.handle.net/2433/188875 ; http://dx.doi.org/10.14989/doctor.k18416

新制・課程博士

甲第18416号

情博第531号

Subjects/Keywords: Numerical Analysis; Finite Difference Scheme; Stability; CIP Scheme; Diffused Optical Tomography

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tanaka, D. (2014). Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography : CIPスキームの安定性解析とその拡散光トモグラフィへの基礎研究への応用について. (Thesis). Kyoto University / 京都大学. Retrieved from http://hdl.handle.net/2433/188875 ; http://dx.doi.org/10.14989/doctor.k18416

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Tanaka, Daiki. “Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography : CIPスキームの安定性解析とその拡散光トモグラフィへの基礎研究への応用について.” 2014. Thesis, Kyoto University / 京都大学. Accessed April 10, 2021. http://hdl.handle.net/2433/188875 ; http://dx.doi.org/10.14989/doctor.k18416.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Tanaka, Daiki. “Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography : CIPスキームの安定性解析とその拡散光トモグラフィへの基礎研究への応用について.” 2014. Web. 10 Apr 2021.

Vancouver:

Tanaka D. Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography : CIPスキームの安定性解析とその拡散光トモグラフィへの基礎研究への応用について. [Internet] [Thesis]. Kyoto University / 京都大学; 2014. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/2433/188875 ; http://dx.doi.org/10.14989/doctor.k18416.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tanaka D. Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography : CIPスキームの安定性解析とその拡散光トモグラフィへの基礎研究への応用について. [Thesis]. Kyoto University / 京都大学; 2014. Available from: http://hdl.handle.net/2433/188875 ; http://dx.doi.org/10.14989/doctor.k18416

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Kyoto University

12. Tanaka, Daiki. Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography .

Degree: 2014, Kyoto University

URL: http://hdl.handle.net/2433/188875

Subjects/Keywords: Numerical Analysis; Finite Difference Scheme; Stability; CIP Scheme; Diffused Optical Tomography

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tanaka, D. (2014). Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography . (Thesis). Kyoto University. Retrieved from http://hdl.handle.net/2433/188875

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Tanaka, Daiki. “Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography .” 2014. Thesis, Kyoto University. Accessed April 10, 2021. http://hdl.handle.net/2433/188875.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Tanaka, Daiki. “Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography .” 2014. Web. 10 Apr 2021.

Vancouver:

Tanaka D. Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography . [Internet] [Thesis]. Kyoto University; 2014. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/2433/188875.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tanaka D. Stability Analysis of the CIP Scheme and its Applications in Fundamental Study of the Diffused Optical Tomography . [Thesis]. Kyoto University; 2014. Available from: http://hdl.handle.net/2433/188875

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Vilnius University

13. Novickij, Jurij. Hiperbolinės lygties su nelokaliosiomis kraštinėmis sąlygomis skirtuminio sprendinio stabilumas.

Degree: Master, 2014, Vilnius University

URL: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20140704_175149-44355 ;

►

Darbo tikslas — ištirti baigtiniu skirtumu metodo antrosios eiles hiperbolinio tipo diferencialinei lygciai su nelokaliosiomis integralinemis kraštinemis salygomis stabiluma. Siekiant numatyto tikslo buvo sprendžiami šie… (more)

Subjects/Keywords: Raktiniai žodžiai: hiperbolinė lygtis; Baigtinių skirtumų metodas; Nelokaliosios kraštinės sąlygos; Integralinės sąlygos; Stabilumas; Spektras Keywords: hyperbolic equation; Finite difference scheme; Nonlocal conditions; Integral conditions; Stability; Spectrum

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Novickij, Jurij. (2014). Hiperbolinės lygties su nelokaliosiomis kraštinėmis sąlygomis skirtuminio sprendinio stabilumas. (Masters Thesis). Vilnius University. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20140704_175149-44355 ;

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Chicago Manual of Style (16^th Edition):

Novickij, Jurij. “Hiperbolinės lygties su nelokaliosiomis kraštinėmis sąlygomis skirtuminio sprendinio stabilumas.” 2014. Masters Thesis, Vilnius University. Accessed April 10, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20140704_175149-44355 ;.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

MLA Handbook (7^th Edition):

Novickij, Jurij. “Hiperbolinės lygties su nelokaliosiomis kraštinėmis sąlygomis skirtuminio sprendinio stabilumas.” 2014. Web. 10 Apr 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

Novickij, Jurij. Hiperbolinės lygties su nelokaliosiomis kraštinėmis sąlygomis skirtuminio sprendinio stabilumas. [Internet] [Masters thesis]. Vilnius University; 2014. [cited 2021 Apr 10]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20140704_175149-44355 ;.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Council of Science Editors:

Novickij, Jurij. Hiperbolinės lygties su nelokaliosiomis kraštinėmis sąlygomis skirtuminio sprendinio stabilumas. [Masters Thesis]. Vilnius University; 2014. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20140704_175149-44355 ;

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

University of Notre Dame

14. Yuan Liu. WENO Computations and Pattern Stability</h1>.

Degree: Applied and Computational Mathematics and Statistics, 2012, University of Notre Dame

URL: https://curate.nd.edu/show/1c18df67n8s

► There are two separated parts of my thesis. The first part is about how to design robust unstructured weighted essentially non-oscillatory (WENO) schemes. The… (more)

▼ There are two separated parts of my thesis. The first part is about how to design robust unstructured weighted essentially non-oscillatory (WENO) schemes. The WENO schemes are a popular class of high order numerical methods for hyperbolic partial differential equations (PDEs). A major difficulty for unstructured WENO is how to design a robust WENO reconstruction procedure to deal with distorted local mesh geometries or degenerate cases when the mesh quality varies for complex domain geometry. We combine two different WENO reconstruction approaches to achieve a robust unstructured finite volume WENO reconstruction on complex mesh geometries. Numerical examples including both scalar and system cases are given to demonstrate stability and accuracy of the scheme. The second part is about computational biology. We studied the pattern solutions of several mathematical models, chematical cell movement, Zebrafish Dorsalventral patterning and tumor angiogenesis. The detailed dynamics, pattern structures and robustness of the nonlinear reaction-diffusion model of chemotactic cell movements [89] are discussed using high resolution numerical simulations. We show that the model can form network patterns similar to early blood vessel structures seen experimentally. The model solutions do not blow up in finite time, a property of other chemotaxis cell movement models. The reaction-diffusion system modeling the dorsal-ventral patterning during the zebrafish embryo development, developed in [128] has multiple steady state solutions. Seven steady state solutions are found by discretizing the boundary value problem using a finite difference scheme and solving the resulting polynomial system using algorithms from numerical algebraic geometry. The stability of each of these steady state solutions is studied by mathematical analysis and numerical simulations via a time marching approach. The results show that three of the seven steady state solutions are stable and the location of the organizer of a zebrafish embryo determines which stable steady state pattern the multi-stability system converges to. Numerical simulations also show that the system is robust with respect to the change of the organizer size. Similar approaches are applied to a more complicate free boundary problem on tumor growth. Advisors/Committee Members: Yongtao Zhang, Committee Chair, Mark Alber, Committee Co-Chair, Andrew Sommese, Committee Member, Bei Hu, Committee Member.

Subjects/Keywords: Conservation Law; Nonlinear Diffusion; Continuous Limit; Triangles; Unstructured Mesh; Zebrafish; Cellular Potts Model; Pattern Solution; WENO Scheme; Stability; Finite Difference/Volume Methods; Tumor Growth; Complex Geometry; Blood Vessel Formation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Liu, Y. (2012). WENO Computations and Pattern Stability</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/1c18df67n8s

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Liu, Yuan. “WENO Computations and Pattern Stability</h1>.” 2012. Thesis, University of Notre Dame. Accessed April 10, 2021. https://curate.nd.edu/show/1c18df67n8s.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Liu, Yuan. “WENO Computations and Pattern Stability</h1>.” 2012. Web. 10 Apr 2021.

Vancouver:

Liu Y. WENO Computations and Pattern Stability</h1>. [Internet] [Thesis]. University of Notre Dame; 2012. [cited 2021 Apr 10]. Available from: https://curate.nd.edu/show/1c18df67n8s.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Liu Y. WENO Computations and Pattern Stability</h1>. [Thesis]. University of Notre Dame; 2012. Available from: https://curate.nd.edu/show/1c18df67n8s

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

15. Sladkov, Andrey. Numerical modeling of magnetic reconnection in laser-induced high energy density plasmas : Modélisation numérique de la reconnexion magnétique dans les plasmas à haute densité d'énergie induit par laser.

Degree: Docteur es, Physique des plasmas, 2019, Sorbonne université; Institute of applied physics of the Russian academy of sciences (Nijni Novgorod, Russie)

URL: http://www.theses.fr/2019SORUS376

►

Cette thèse est une étude numérique de la reconnexion magnétique dans les plasmas sans collision à l’aide d’un code cinétique. On peut étudier le processus… (more)

Subjects/Keywords: Simulation numérique; Plasmas; Laser; Reconnexion magnétique; Astrophysique de laboratoire; Schéma aux différences finies; Numerical simulations; Plasmas; Laser; Magnetic reconnection; Laboratory astrophysics; Finite difference scheme; 530.443

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Sladkov, A. (2019). Numerical modeling of magnetic reconnection in laser-induced high energy density plasmas : Modélisation numérique de la reconnexion magnétique dans les plasmas à haute densité d'énergie induit par laser. (Doctoral Dissertation). Sorbonne université; Institute of applied physics of the Russian academy of sciences (Nijni Novgorod, Russie). Retrieved from http://www.theses.fr/2019SORUS376

Chicago Manual of Style (16^th Edition):

Sladkov, Andrey. “Numerical modeling of magnetic reconnection in laser-induced high energy density plasmas : Modélisation numérique de la reconnexion magnétique dans les plasmas à haute densité d'énergie induit par laser.” 2019. Doctoral Dissertation, Sorbonne université; Institute of applied physics of the Russian academy of sciences (Nijni Novgorod, Russie). Accessed April 10, 2021. http://www.theses.fr/2019SORUS376.

MLA Handbook (7^th Edition):

Sladkov, Andrey. “Numerical modeling of magnetic reconnection in laser-induced high energy density plasmas : Modélisation numérique de la reconnexion magnétique dans les plasmas à haute densité d'énergie induit par laser.” 2019. Web. 10 Apr 2021.

Vancouver:

Sladkov A. Numerical modeling of magnetic reconnection in laser-induced high energy density plasmas : Modélisation numérique de la reconnexion magnétique dans les plasmas à haute densité d'énergie induit par laser. [Internet] [Doctoral dissertation]. Sorbonne université; Institute of applied physics of the Russian academy of sciences (Nijni Novgorod, Russie); 2019. [cited 2021 Apr 10]. Available from: http://www.theses.fr/2019SORUS376.

Council of Science Editors:

Sladkov A. Numerical modeling of magnetic reconnection in laser-induced high energy density plasmas : Modélisation numérique de la reconnexion magnétique dans les plasmas à haute densité d'énergie induit par laser. [Doctoral Dissertation]. Sorbonne université; Institute of applied physics of the Russian academy of sciences (Nijni Novgorod, Russie); 2019. Available from: http://www.theses.fr/2019SORUS376

Texas Tech University

16. Son, Seyul. Design of ocean platforms against ringing response.

Degree: 2006, Texas Tech University

URL: http://hdl.handle.net/2346/998

► The purpose of this thesis is to numerically investigate the ringing phenomenon in drag-dominated small offshore structures in an ocean environment. The ringing is a… (more)

▼ The purpose of this thesis is to numerically investigate the ringing phenomenon in drag-dominated small offshore structures in an ocean environment. The ringing is a transient response to an impact wave, and it occurs in the surge response when it is observed in small structures. The peak response during ringing tends to be large, and the response decays slowly. Other researchers have observed that ringing occurs where the fundamental frequency is several times above the dominant wave frequency. However, the effects of physical properties other than the fundamental frequency have not been explored. For instance, should the ringing response change when the geometric configuration changes while the fundamental surge frequency remain the same? In order to answer this question, we consider platforms with and without leg bracings. They are simplified as a beam clamped at one end and has a point mass at the other end. The leg bracings are modeled as a discrete spring. The beam is modeled as an Euler-Bernoulli beam. The fluid force is modeled using Morison's equation, the waves are modeled random with many frequency components according to JONSWAP spectrum, Airy wave theory is used to obtain the fluid field. The sample time history of the random wave is expressed as a series of sinusoidal functions with sample frequencies obtained from the spectrum. The impact wave is generated by setting the random phases of each frequency component zeros. The same impact wave profile is used for all ringing simulations. The response is obtained numerically using finite difference equations for the spatial coordinate and Runge-Kutta method for the resulting ordinary differential equations in time. The parameters that are varied are the point mass, spring stiffness, location of the spring, while the properties of the beam itself are unchanged. The point mass, spring stiffness and the location of the spring are predetermined so that the resulting system would have a desirable fundamental frequency. Duration of ringing is measured by its exponential decay constant, zeta-omega. This decay constant is further normalized by the decay constant of an equivalent linear system for fair comparisons. The equivalent linear system is when the drag component of the fluid force is linearized and the fluid force is applied only up to the still water level instead of the instantaneous water level. It is found that the decay rate shows strong correlation with the point mass but not with the spring stiffness and the location of the spring. As the point mass increases, the response decays slower, slower compared to the equivalent linear system. It is also found that the point mass has even stronger effect on the decay rate than the frequency relationship between the structure and the fluid. That is, the duration of ringing seems slightly by the frequency relationship once the ringing exists. Advisors/Committee Members: Han, Seon (Committee Chair), Berg, Jordan M. (committee member), Barhorst, Alan (committee member).

Subjects/Keywords: Fluid force; Finite difference scheme; Transverse vibration; Ringing; JONSWAP spectrum

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Son, S. (2006). Design of ocean platforms against ringing response. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/998

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Son, Seyul. “Design of ocean platforms against ringing response.” 2006. Thesis, Texas Tech University. Accessed April 10, 2021. http://hdl.handle.net/2346/998.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Son, Seyul. “Design of ocean platforms against ringing response.” 2006. Web. 10 Apr 2021.

Vancouver:

Son S. Design of ocean platforms against ringing response. [Internet] [Thesis]. Texas Tech University; 2006. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/2346/998.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Son S. Design of ocean platforms against ringing response. [Thesis]. Texas Tech University; 2006. Available from: http://hdl.handle.net/2346/998

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Indian Institute of Science

17. Reddy, Danda Sai Koti. Stochastic Newton Methods With Enhanced Hessian Estimation.

Degree: MSc Engg, Faculty of Engineering, 2018, Indian Institute of Science

URL: http://etd.iisc.ac.in/handle/2005/3582

► Optimization problems involving uncertainties are common in a variety of engineering disciplines such as transportation systems, manufacturing, communication networks, healthcare and finance. The large number… (more)

▼ Optimization problems involving uncertainties are common in a variety of engineering disciplines such as transportation systems, manufacturing, communication networks, healthcare and finance. The large number of input variables and the lack of a system model prohibit a precise analytical solution and a viable alternative is to employ simulation-based optimization. The idea here is to simulate a few times the stochastic system under consideration while updating the system parameters until a good enough solution is obtained. Formally, given only noise-corrupted measurements of an objective function, we wish to end a parameter which minimises the objective function. Iterative algorithms using statistical methods search the feasible region to improve upon the candidate parameter. Stochastic approximation algorithms are best suited; most studied and applied algorithms for funding solutions when the feasible region is a continuously valued set. One can use information on the gradient/Hessian of the objective to aid the search process. However, due to lack of knowledge of the noise distribution, one needs to estimate the gradient/Hessian from noisy samples of the cost function obtained from simulation. Simple gradient search schemes take much iteration to converge to a local minimum and are heavily dependent on the choice of step-sizes. Stochastic Newton methods, on the other hand, can counter the ill-conditioning of the objective function as they incorporate second-order information into the stochastic updates. Stochastic Newton methods are often more accurate than simple gradient search schemes. We propose enhancements to the Hessian estimation scheme used in two recently proposed stochastic Newton methods, based on the ideas of random directions stochastic approximation (2RDSA) [21] and simultaneous perturbation stochastic approximation (2SPSA-31) [6], respectively. The proposed scheme, inspired by [29], reduces the error in the Hessian estimate by (i) Incorporating a zero-mean feedback term; and (ii) optimizing the step-sizes used in the Hessian recursion. We prove that both 2RDSA and 2SPSA-3 with our Hessian improvement scheme converges asymptotically to the true Hessian. The key advantage with 2RDSA and 2SPSA-3 is that they require only 75% of the simulation cost per-iteration for 2SPSA with improved Hessian estimation (2SPSA-IH) [29]. Numerical experiments show that 2RDSA-IH outperforms both 2SPSA-IH and 2RDSA without the improved Hessian estimation scheme. Advisors/Committee Members: Bhatnagar, Shalabh (advisor).

Subjects/Keywords: Stochastic Newton Methods; Hessian Estimation; Simultaneous Perturbation Stochastic Approximation (SPSA); Random Directions Stochastic Approximation (RDSA); Finite-difference Stochastic Approximation (FDSA); Hessian Estimation Scheme; Computer Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Reddy, D. S. K. (2018). Stochastic Newton Methods With Enhanced Hessian Estimation. (Masters Thesis). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/3582

Chicago Manual of Style (16^th Edition):

Reddy, Danda Sai Koti. “Stochastic Newton Methods With Enhanced Hessian Estimation.” 2018. Masters Thesis, Indian Institute of Science. Accessed April 10, 2021. http://etd.iisc.ac.in/handle/2005/3582.

MLA Handbook (7^th Edition):

Reddy, Danda Sai Koti. “Stochastic Newton Methods With Enhanced Hessian Estimation.” 2018. Web. 10 Apr 2021.

Vancouver:

Reddy DSK. Stochastic Newton Methods With Enhanced Hessian Estimation. [Internet] [Masters thesis]. Indian Institute of Science; 2018. [cited 2021 Apr 10]. Available from: http://etd.iisc.ac.in/handle/2005/3582.

Council of Science Editors:

Reddy DSK. Stochastic Newton Methods With Enhanced Hessian Estimation. [Masters Thesis]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/3582

18. Soler vasco, Juan Antonio. Méthodes numériques alignées pour problèmes elliptiques anisotropes en domaines bornés pour simulations du plasma de bord : Aligned numerical methods for anisotropic elliptic problems in bounded domains for plasma edge simulations.

Degree: Docteur es, Fusion magnétique, 2019, Ecole centrale de Marseille

URL: http://www.theses.fr/2019ECDM0005

► Les problèmes elliptiques hautement anisotropes se présentent dans de nombreux modèles physiques qui doivent être résolus numériquement. Une direction de diffusion dominante est alors introduite… (more)

▼ Les problèmes elliptiques hautement anisotropes se présentent dans de nombreux modèles physiques qui doivent être résolus numériquement. Une direction de diffusion dominante est alors introduite (appelée ici direction parallèle) le long de laquelle le coefficient de diffusion est plusieurs ordres de grandeur plus grand que dans la direction perpendiculaire. Dans ce cas, les méthodes aux différences finies standard ne sont pas conçues pour fournir une discrétisation optimale et peuvent conduire à une diffusion perpendiculaire artificielle potentiellement importante, résultant d’erreurs de discrétisation dans l’approximation de la diffusion parallèle.Cette thèse se concentre sur trois axes principaux pour résoudre les équations elliptiques anisotropes de manière appropriée : un schéma aligné et conservatif de différences finies pour discrétiser l’opérateur Laplacien, une reformulation de l’équation de Helmholtz pour réduire la diffusion numérique, et un solveur basé sur les méthodes multi-grille comme préconditionneur d’un solveur GMRES. Les deux premiers chapitres sont consacrés à la présentation du cadre de cette thèse.Au chapitre 1, une brève introduction à la fusion par confinement magnétique est présentée, identifiant les problèmes numériques soulevés par la résolution des équations fluides, en particulier dans la région proche au bord (Scrape-Off-Layer). Le problème numérique que nous allons traiter est essentiellement un problème elliptique anisotrope où la diffusion est de 5 à 8 ordres de grandeur plus grande dans la direction parallèle que dans la direction perpendiculaire.Dans le chapitre 2, une introduction bibliographique aux méthodes numériques résolvant les équations elliptiques anisotropes est présentée, avec un accent sur les méthodes aux différences finies.Dans le chapitre 3, un schéma de discrétisation aligné est proposé en utilisant des grilles cartésiennes non alignées. Selon la méthode Support Operator Method (SOM), la propriété que l’opérateur de diffusion parallèle est auto-adjoint est maintenue au niveau discret. Par rapport aux méthodes existantes, la formulation actuelle garantit la conservation des flux dans les directions parallèles et perpendiculaires. De plus, dans les domaines bornés, une discrétisation des conditions aux limites est présentée afin d’assurer une précision comparable de la solution. Des tests numériques basés sur des solutions manufacturées montrent que la méthode est capable de fournir des approximations numériques précises et stables dans des domaines périodiques ou bornés avec un nombre considérablement réduit de degrés de liberté par rapport aux autres approches non alignées.Une reformulation de l’équation de Helmholtz est présentée au chapitre 4 pour limiter la diffusion numérique liée à la discrétisation du Laplacien pour les valeurs élevées de diffusion parallèle. La méthode est basée sur la séparation de la solution en une partie alignée et non alignée, par rapport à l’opérateur de diffusion parallèle, grâce à des méthodes de filtrage. Les cas de tests montrent que… Advisors/Committee Members: Serre, Eric (thesis director), Schwander, Frédéric (thesis director), Liandrat, Jacques (thesis director).

Subjects/Keywords: Opérateur très anisotrope; Différences finies conservatives; Approche alignée; Méthode du filtrage; Solveur Multi-grille; Anisotropic operators; Conservative finite-difference scheme; Aligned approach; Filtering methods; Multigrid solver

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Soler vasco, J. A. (2019). Méthodes numériques alignées pour problèmes elliptiques anisotropes en domaines bornés pour simulations du plasma de bord : Aligned numerical methods for anisotropic elliptic problems in bounded domains for plasma edge simulations. (Doctoral Dissertation). Ecole centrale de Marseille. Retrieved from http://www.theses.fr/2019ECDM0005

Chicago Manual of Style (16^th Edition):

Soler vasco, Juan Antonio. “Méthodes numériques alignées pour problèmes elliptiques anisotropes en domaines bornés pour simulations du plasma de bord : Aligned numerical methods for anisotropic elliptic problems in bounded domains for plasma edge simulations.” 2019. Doctoral Dissertation, Ecole centrale de Marseille. Accessed April 10, 2021. http://www.theses.fr/2019ECDM0005.

MLA Handbook (7^th Edition):

Soler vasco, Juan Antonio. “Méthodes numériques alignées pour problèmes elliptiques anisotropes en domaines bornés pour simulations du plasma de bord : Aligned numerical methods for anisotropic elliptic problems in bounded domains for plasma edge simulations.” 2019. Web. 10 Apr 2021.

Vancouver:

Soler vasco JA. Méthodes numériques alignées pour problèmes elliptiques anisotropes en domaines bornés pour simulations du plasma de bord : Aligned numerical methods for anisotropic elliptic problems in bounded domains for plasma edge simulations. [Internet] [Doctoral dissertation]. Ecole centrale de Marseille; 2019. [cited 2021 Apr 10]. Available from: http://www.theses.fr/2019ECDM0005.

Council of Science Editors:

Soler vasco JA. Méthodes numériques alignées pour problèmes elliptiques anisotropes en domaines bornés pour simulations du plasma de bord : Aligned numerical methods for anisotropic elliptic problems in bounded domains for plasma edge simulations. [Doctoral Dissertation]. Ecole centrale de Marseille; 2019. Available from: http://www.theses.fr/2019ECDM0005

University of Kentucky

19. Kunadian, Illayathambi. NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL.

Degree: 2004, University of Kentucky

URL: https://uknowledge.uky.edu/gradschool_theses/324

► Ultra-fast laser heating of nano-films is investigated using 3-D Dual Phase Lag heat transport equation with laser heating at different locations on the metal film.… (more)

Subjects/Keywords: 3-D femtosecond laser heating; 3-D explicit finite-difference scheme; 3-D implicit finite-difference scheme; Douglas-Gunn time-splitting; von Neumann stability analysis

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kunadian, I. (2004). NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL. (Masters Thesis). University of Kentucky. Retrieved from https://uknowledge.uky.edu/gradschool_theses/324

Chicago Manual of Style (16^th Edition):

Kunadian, Illayathambi. “NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL.” 2004. Masters Thesis, University of Kentucky. Accessed April 10, 2021. https://uknowledge.uky.edu/gradschool_theses/324.

MLA Handbook (7^th Edition):

Kunadian, Illayathambi. “NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL.” 2004. Web. 10 Apr 2021.

Vancouver:

Kunadian I. NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL. [Internet] [Masters thesis]. University of Kentucky; 2004. [cited 2021 Apr 10]. Available from: https://uknowledge.uky.edu/gradschool_theses/324.

Council of Science Editors:

Kunadian I. NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL. [Masters Thesis]. University of Kentucky; 2004. Available from: https://uknowledge.uky.edu/gradschool_theses/324

University of Toronto

20. Chang, Chun. A Spatially-filtered Finite-difference Time-domain Method with Controllable Stability Beyond the Courant Limit.

Degree: 2012, University of Toronto

URL: http://hdl.handle.net/1807/32460

►

This thesis introduces spatial filtering, which is a technique to extend the time step size beyond the conventional stability limit for the Finite-Difference Time-Domain (FDTD)… (more)

Subjects/Keywords: computational electromagnetics; finite-difference time-domain; spatial filtering; stability limit; CFL limit; CFL extension factor; subgridding scheme; FDTD; spatially-filtered FDTD method; spatially-filtered subgridding scheme; discrete cosine transform; discrete sine transform; discrete fourier transform; 0544

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Chang, C. (2012). A Spatially-filtered Finite-difference Time-domain Method with Controllable Stability Beyond the Courant Limit. (Masters Thesis). University of Toronto. Retrieved from http://hdl.handle.net/1807/32460

Chicago Manual of Style (16^th Edition):

Chang, Chun. “A Spatially-filtered Finite-difference Time-domain Method with Controllable Stability Beyond the Courant Limit.” 2012. Masters Thesis, University of Toronto. Accessed April 10, 2021. http://hdl.handle.net/1807/32460.

MLA Handbook (7^th Edition):

Chang, Chun. “A Spatially-filtered Finite-difference Time-domain Method with Controllable Stability Beyond the Courant Limit.” 2012. Web. 10 Apr 2021.

Vancouver:

Chang C. A Spatially-filtered Finite-difference Time-domain Method with Controllable Stability Beyond the Courant Limit. [Internet] [Masters thesis]. University of Toronto; 2012. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/1807/32460.

Council of Science Editors:

Chang C. A Spatially-filtered Finite-difference Time-domain Method with Controllable Stability Beyond the Courant Limit. [Masters Thesis]. University of Toronto; 2012. Available from: http://hdl.handle.net/1807/32460

21. HILPERT THIBAUT. Pricing Options Using Predictor-Corrector Schemes.

Degree: 2011, National University of Singapore

URL: http://scholarbank.nus.edu.sg/handle/10635/27487

Subjects/Keywords: Predictor-Corrector Scheme; Finite Difference Scheme; Monte Carlo Simulation; Jump Diffusion; Penalty Method; Option Pricing

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

THIBAUT, H. (2011). Pricing Options Using Predictor-Corrector Schemes. (Thesis). National University of Singapore. Retrieved from http://scholarbank.nus.edu.sg/handle/10635/27487

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

THIBAUT, HILPERT. “Pricing Options Using Predictor-Corrector Schemes.” 2011. Thesis, National University of Singapore. Accessed April 10, 2021. http://scholarbank.nus.edu.sg/handle/10635/27487.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

THIBAUT, HILPERT. “Pricing Options Using Predictor-Corrector Schemes.” 2011. Web. 10 Apr 2021.

Vancouver:

THIBAUT H. Pricing Options Using Predictor-Corrector Schemes. [Internet] [Thesis]. National University of Singapore; 2011. [cited 2021 Apr 10]. Available from: http://scholarbank.nus.edu.sg/handle/10635/27487.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

THIBAUT H. Pricing Options Using Predictor-Corrector Schemes. [Thesis]. National University of Singapore; 2011. Available from: http://scholarbank.nus.edu.sg/handle/10635/27487

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

22. Moumni, Mohammed. Sur quelques modèles mathématiques issus du micromagnétisme : Some mathematical problems arising in micromagnetism.

Degree: Docteur es, Mathématiques appliquées, 2017, La Rochelle; Université Moulay Ismaïl (Meknès, Maroc)

URL: http://www.theses.fr/2017LAROS004

►

Cette thèse est consacrée à l'étude de quelques problèmes mathématiques issus du micromagnétisme. Le but est d'analyser le comportement des modèles en fonction de différents… (more)

▼

Cette thèse est consacrée à l'étude de quelques problèmes mathématiques issus du micromagnétisme. Le but est d'analyser le comportement des modèles en fonction de différents paramètres physiques, dont les fines variations sont parfois difficilement mesurables. Nous adoptons des approches numériques, asymptotiques ou d'homogénéisation. Les modèles considérés reposent sur l'utilisation de l'équation de Landau-Lifshitz-Gilbert (LLG) décrivant l'évolution du champ d'aimantation dans un matériau ferromagnétique. Nous rappelons d'abord quelques notions importantes en ferromagnétisme. Ensuite, nous menons une étude numérique d'un modèle de la dynamique d'aimantation avec effets d'inertie. Nous proposons un schéma aux différences finies semi-implicite qui respecte de façon intrinsèque les propriétés du modèle continu. Des simulations numériques sont réalisées pour cerner l'effet du paramètre d'inertie. Ces simulations montrent aussi la performance du schéma et confirment l'ordre de convergence obtenu théoriquement. Nous étudions ensuite un modèle de la dynamique de l'aimantation avec amortissement non local. La sensibilité de la dynamique d'aimantation au paramètre d'amortissement est étudiée en donnant le problème limite pour de petites et de grandes valeurs du paramètre. Enfin, nous étudions l'homogénéisation de l'équation LLG dans deux types de matériau, à savoir les composites présentant un fort contraste des propriétés magnétiques et les matériaux périodiquement perforés avec énergie d'anisotropie de surface. Des modèles homogénéisés sont d'abord obtenus formellement puis une dérivation rigoureuse est établie en se basant principalement sur les concepts de la convergence à double échelle et de la convergence à double échelle en surface. Pour traiter les non-linéarités, nous introduisons une nouvelle méthode basée sur le couplage d'un opérateur de dilatation calibré sur les contrastes d'échelle et d'un outil de réduction de dimension, par construction de grilles emboitées adaptées à la géométrie du domaine microscopique.

This thesis is devoted to the study of some mathematical problems arising in micromagnetism. The models considered here are based on the Landau-Lifshitz-Gilbert equation (LLG) describing the evolution of the magnetization field in a ferromagnetic material. Our aim is the analysis of the behavior of the models regarding the slight variations of some physical parameters. We first recall some important notions about ferromagnetism. Then, we carry out a numerical study of a model of magnetization dynamics with inertial effects. We propose a semi-implicit finite difference scheme which intrinsically respects the properties of the continuous model. Numerical simulations are provided for emphasizing the effect of the inertia parameter. These simulations also show the performance of the scheme and confirm the order of convergence obtained theoretically. We then study a model of magnetization dynamics with a non-local damping. The sensitivity of the magnetization dynamics to the damping coefficient is studied…

Advisors/Committee Members: Choquet, Catherine (thesis director), Tilioua, Mouhcine (thesis director).

Subjects/Keywords: Ferromagnétisme; Micromagnétisme; Équation de Landau-Lifshitz-Gilbert; Analyse asymptotique; Homogénéisation; Convergence à double échelle; Schéma aux différences finies semi-implicite; Simulations numériques; Ferromagnetism; Micromagnetism; Landau-Lifshitz-Gilbert equation; Asymptotic analysis; Homogenization; Two-scale convergence; Semi-implicit finite difference scheme; Numerical simulations

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Moumni, M. (2017). Sur quelques modèles mathématiques issus du micromagnétisme : Some mathematical problems arising in micromagnetism. (Doctoral Dissertation). La Rochelle; Université Moulay Ismaïl (Meknès, Maroc). Retrieved from http://www.theses.fr/2017LAROS004

Chicago Manual of Style (16^th Edition):

Moumni, Mohammed. “Sur quelques modèles mathématiques issus du micromagnétisme : Some mathematical problems arising in micromagnetism.” 2017. Doctoral Dissertation, La Rochelle; Université Moulay Ismaïl (Meknès, Maroc). Accessed April 10, 2021. http://www.theses.fr/2017LAROS004.

MLA Handbook (7^th Edition):

Moumni, Mohammed. “Sur quelques modèles mathématiques issus du micromagnétisme : Some mathematical problems arising in micromagnetism.” 2017. Web. 10 Apr 2021.

Vancouver:

Moumni M. Sur quelques modèles mathématiques issus du micromagnétisme : Some mathematical problems arising in micromagnetism. [Internet] [Doctoral dissertation]. La Rochelle; Université Moulay Ismaïl (Meknès, Maroc); 2017. [cited 2021 Apr 10]. Available from: http://www.theses.fr/2017LAROS004.

Council of Science Editors:

Moumni M. Sur quelques modèles mathématiques issus du micromagnétisme : Some mathematical problems arising in micromagnetism. [Doctoral Dissertation]. La Rochelle; Université Moulay Ismaïl (Meknès, Maroc); 2017. Available from: http://www.theses.fr/2017LAROS004

23. Muot, Nathanaël. Stratégies d’hybridation de méthodes de simulation électromagnétique FDTD/MTL : Application à l’étude de grands systèmes complexes : A time domain hybrid FDTD/MTL approach to study electromagnetic effects on interconnected ground installations.

Degree: Docteur es, Physique, Mathématiques appliquées, 2013, Toulouse, ISAE

URL: http://www.theses.fr/2013ESAE0019

►

Dans ce mémoire, nous présentons une stratégie basée sur une approche hybridedans le domaine temporel, couplant une méthode de résolution des équations de Maxwelldans le… (more)

▼

Dans ce mémoire, nous présentons une stratégie basée sur une approche hybridedans le domaine temporel, couplant une méthode de résolution des équations de Maxwelldans le domaine 3D (FDTD) avec une méthode de résolution des équations de ligne detransmission, afin de pouvoir simuler des problèmes électromagnétiques de grande échelle. Lemémoire donne les éléments d’hybridation pour deux cadres d’utilisation de cette approche :une approche multi-domaine et une approche multi-résolution ou d’échelle.L’approche multi-domaine est une extension de la méthode FDTD 3D à plusieurs sousdomainesreliés par des structures filaires sur lesquelles on résout une équation de lignes detransmission par un formalisme FDTD 1D. La difficulté est d’abord d’avoir une définitionimplicite du champ électromagnétique dans la théorie des lignes de transmission, et d’autrepart de prendre en compte les effets du sol sur les courants induits au niveau des lignes etsur les champs électromagnétiques.L’approche multi-résolution ou d’échelle est conçue pour étendre les capacités de la méthodeFDTD au traitement du routage de câbles complexes ayant une section plus petite quela taille de la cellule. Ce mémoire présente différentes techniques pour évaluer les paramètresde la ligne, basées sur la résolution d’un problème de Laplace 2D, ainsi qu’une méthode decouplage champs/câbles basée sur le courant de mode commun.L’ensemble de ce travail nous a permis de proposer une méthode numérique efficace pourcalculer les effets électromagnétiques induits par une source (type onde plane ou dipolaire)sur des sites de grande dimension, composés de plusieurs bâtiments reliés entre eux par unréseau de câbles. Dans ce cadre une application à la foudre a été réalisée.

In this thesis, we present a strategy based on a hybrid approach in the timedomain, by coupling 3D method (FDTD) with a multi-conductors transmission line (MTL)method, in order to simulate complex large scale electromagnetic problems. This reportgives the theoretical and numerical elements for coupling these approaches for two kindof problems, which are the multi domains approach and the multi scale approach. Themultiple domains approach is an extension of the classical FDTD method taking into accountseveral 3D subdomains, interconnected by a wire network, on which a 1D transmission lineformalism is used. The main issues are, on one hand to have an implicit expression ofthe electromagnetic field in the transmission line approach, and on the other hand to beable to take into account the ground effects on the induced currents, on the transmissionline parameters and on the electromagnetic field. The multi scale approach is developed toextend the capabilities of FDTD to deal with complex cables routing. We assume that thecross section of the cables are smallest than the cell size, and in these problems, the 1Dtransmission line problem is physically included in the 3D global computational domain.The work done in this thesis leaded to a new field to transmission line coupling based onthe common mode current, and…

Advisors/Committee Members: Ferrieres, Xavier (thesis director), Bachelier, Elodie (thesis director).

Subjects/Keywords: Équation de Maxwell instationnaires; Hybridation forte; Schéma différence finie; Foudre; Infrastructure terrestre; Ligne de transmission multi-conducteurs; Couplagechamp/câbles; Modèle de sol; UnsteadyMaxwell’s Equations; Strong Hybridization; Finite Difference Scheme; Lightning; Ground Infrastructure; Multiconductor Transmission Line; Field-to-Wire Couplings; Soil Model; 530

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Muot, N. (2013). Stratégies d’hybridation de méthodes de simulation électromagnétique FDTD/MTL : Application à l’étude de grands systèmes complexes : A time domain hybrid FDTD/MTL approach to study electromagnetic effects on interconnected ground installations. (Doctoral Dissertation). Toulouse, ISAE. Retrieved from http://www.theses.fr/2013ESAE0019

Chicago Manual of Style (16^th Edition):

Muot, Nathanaël. “Stratégies d’hybridation de méthodes de simulation électromagnétique FDTD/MTL : Application à l’étude de grands systèmes complexes : A time domain hybrid FDTD/MTL approach to study electromagnetic effects on interconnected ground installations.” 2013. Doctoral Dissertation, Toulouse, ISAE. Accessed April 10, 2021. http://www.theses.fr/2013ESAE0019.

MLA Handbook (7^th Edition):

Muot, Nathanaël. “Stratégies d’hybridation de méthodes de simulation électromagnétique FDTD/MTL : Application à l’étude de grands systèmes complexes : A time domain hybrid FDTD/MTL approach to study electromagnetic effects on interconnected ground installations.” 2013. Web. 10 Apr 2021.

Vancouver:

Muot N. Stratégies d’hybridation de méthodes de simulation électromagnétique FDTD/MTL : Application à l’étude de grands systèmes complexes : A time domain hybrid FDTD/MTL approach to study electromagnetic effects on interconnected ground installations. [Internet] [Doctoral dissertation]. Toulouse, ISAE; 2013. [cited 2021 Apr 10]. Available from: http://www.theses.fr/2013ESAE0019.

Council of Science Editors:

Muot N. Stratégies d’hybridation de méthodes de simulation électromagnétique FDTD/MTL : Application à l’étude de grands systèmes complexes : A time domain hybrid FDTD/MTL approach to study electromagnetic effects on interconnected ground installations. [Doctoral Dissertation]. Toulouse, ISAE; 2013. Available from: http://www.theses.fr/2013ESAE0019

24. WU LIANG. Pricing guaranteed minimum withdrawal benefits in variable annuities.

Degree: 2008, National University of Singapore

URL: http://scholarbank.nus.edu.sg/handle/10635/16335

Subjects/Keywords: Guaranteed minimum withdrawal benefit; Variable annuities; Singular control model; Finite difference scheme; Penalty approximation; Optimal withdrawal

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

LIANG, W. (2008). Pricing guaranteed minimum withdrawal benefits in variable annuities. (Thesis). National University of Singapore. Retrieved from http://scholarbank.nus.edu.sg/handle/10635/16335

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

LIANG, WU. “Pricing guaranteed minimum withdrawal benefits in variable annuities.” 2008. Thesis, National University of Singapore. Accessed April 10, 2021. http://scholarbank.nus.edu.sg/handle/10635/16335.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

LIANG, WU. “Pricing guaranteed minimum withdrawal benefits in variable annuities.” 2008. Web. 10 Apr 2021.

Vancouver:

LIANG W. Pricing guaranteed minimum withdrawal benefits in variable annuities. [Internet] [Thesis]. National University of Singapore; 2008. [cited 2021 Apr 10]. Available from: http://scholarbank.nus.edu.sg/handle/10635/16335.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

LIANG W. Pricing guaranteed minimum withdrawal benefits in variable annuities. [Thesis]. National University of Singapore; 2008. Available from: http://scholarbank.nus.edu.sg/handle/10635/16335

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universitat Politècnica de València

25. Navarro Ruiz, Juan Miguel. Discrete-time modelling of diffusion processes for room acoustics simulation and analysis .

Degree: 2012, Universitat Politècnica de València

URL: http://hdl.handle.net/10251/14861

► Esta tesis está centrada en el modelado de la acústica de salas en espacios cerrados mediante el uso de una ecuación de transferencia radiativa y… (more)

▼ Esta tesis está centrada en el modelado de la acústica de salas en espacios cerrados mediante el uso de una ecuación de transferencia radiativa y una ecuación de difusión En este trabajo se investiga cómo a través de estos modelos teóricos se pueden simular el campo sonoro en espacios complejos. Recientemente, el modelo de la ecuación de fusión ha sido prppuesto para ser utilizado en el modelado de la acústica de salas con superficies que reflejan el sonido de forma totalmente difusa. Este enfoque del uso de la ecuación de la disusión de sido intensamente investigado en los últimos años, ya que proporciona una alta eficiencia y flexibilidad para simular las distribuciones del campo sonoro en diferentes tipos de salas; sin embargo, sólo se han realizado unas pocas investigaciones con el objetivo de indagar sobre la precisión y las limitaciones de este método alternativo. Por lo tanto, en primer lugar se presenta un modelo basado en la ecuación de transferencia por radiación siendo meta principal el unificar una amplia gama de métodos geométricos de modelado de acústica de salas. Además, esta tesis está especialmente dedicada a establecer las bases y suposiciones que permitan obtener un modelo de difusión acústica como particularización del modelo de transferencia radiativa con el objetivo de conseguir una descripción clara y adecuada de sus ventajas y limitaciones desde el punto de vista teórico. Este trabajo permite enlazar directamente al modelo de la ecuación de difusión con el grupo de métodos de la acústica geométrica reforzando sus características y permitiendo una adecuada comparación con estos métodos ampliamente reconocidos. Una vez realizado este análisis teórico, esta tesis también se dedica a cuestiones relativas a la implementación numérica del modelo acústico de la ecuación de difusión . En este trabajo, se modela el campo sonoro a través de esquemas en diferencias finitas. Los resultados de este estudio proporcionan soluciones simples y practicas que muestran unos requerimientos computacionales bajos tanto de consumo de memoria como de tiempo. Advisors/Committee Members: López Monfort, José Javier (advisor), Escolano Carrasco, José (advisor).

Subjects/Keywords: Diffusion equation; Radiative transfer equation; Finite-difference scheme; Room acoustics simulation; Ecuación de difusión; Ecuación de transferencia radiativa; Esquema en diferencias finitas; Simulación de la acústica de salas; Equació de difusió; Equació de transferència radiativa; Esquemes de diferències finites; Simulació acústica de sales

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APA (6^th Edition):

Navarro Ruiz, J. M. (2012). Discrete-time modelling of diffusion processes for room acoustics simulation and analysis . (Doctoral Dissertation). Universitat Politècnica de València. Retrieved from http://hdl.handle.net/10251/14861

Chicago Manual of Style (16^th Edition):

Navarro Ruiz, Juan Miguel. “Discrete-time modelling of diffusion processes for room acoustics simulation and analysis .” 2012. Doctoral Dissertation, Universitat Politècnica de València. Accessed April 10, 2021. http://hdl.handle.net/10251/14861.

MLA Handbook (7^th Edition):

Navarro Ruiz, Juan Miguel. “Discrete-time modelling of diffusion processes for room acoustics simulation and analysis .” 2012. Web. 10 Apr 2021.

Vancouver:

Navarro Ruiz JM. Discrete-time modelling of diffusion processes for room acoustics simulation and analysis . [Internet] [Doctoral dissertation]. Universitat Politècnica de València; 2012. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/10251/14861.

Council of Science Editors:

Navarro Ruiz JM. Discrete-time modelling of diffusion processes for room acoustics simulation and analysis . [Doctoral Dissertation]. Universitat Politècnica de València; 2012. Available from: http://hdl.handle.net/10251/14861

University of New South Wales

26. Barma, Daren. An analysis into the feasibility of a modified Strelkoff finite difference scheme for solution of the Saint Venant equations.

Degree: Water Research Laboratory, 1992, University of New South Wales

URL: http://handle.unsw.edu.au/1959.4/56319 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:40551/SOURCE02?view=true

Subjects/Keywords: Saint Venant equations; Strelkoff finite difference scheme; Study of fluids; Thesis Digitisation Program; WRL Digitisation; WRL Thesis

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APA (6^th Edition):

Barma, D. (1992). An analysis into the feasibility of a modified Strelkoff finite difference scheme for solution of the Saint Venant equations. (Masters Thesis). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/56319 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:40551/SOURCE02?view=true

Chicago Manual of Style (16^th Edition):

Barma, Daren. “An analysis into the feasibility of a modified Strelkoff finite difference scheme for solution of the Saint Venant equations.” 1992. Masters Thesis, University of New South Wales. Accessed April 10, 2021. http://handle.unsw.edu.au/1959.4/56319 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:40551/SOURCE02?view=true.

MLA Handbook (7^th Edition):

Barma, Daren. “An analysis into the feasibility of a modified Strelkoff finite difference scheme for solution of the Saint Venant equations.” 1992. Web. 10 Apr 2021.

Vancouver:

Barma D. An analysis into the feasibility of a modified Strelkoff finite difference scheme for solution of the Saint Venant equations. [Internet] [Masters thesis]. University of New South Wales; 1992. [cited 2021 Apr 10]. Available from: http://handle.unsw.edu.au/1959.4/56319 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:40551/SOURCE02?view=true.

Council of Science Editors:

Barma D. An analysis into the feasibility of a modified Strelkoff finite difference scheme for solution of the Saint Venant equations. [Masters Thesis]. University of New South Wales; 1992. Available from: http://handle.unsw.edu.au/1959.4/56319 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:40551/SOURCE02?view=true

27. Jesus, Hugo Naves. Método compacto de diferenças finitas para resolver equações de Schrödinger não lineares com dispersão de quarta ordem.

Degree: 2016, Universidade Federal de Goiás; Programa de Pós-graduação em Fisica (IF); UFG; Brasil; Instituto de Física – IF (RG)

URL: http://repositorio.bc.ufg.br/tede/handle/tede/6495

►

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Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq

Finite difference schemes belong to a class of numerical methods used to approximate derivatives. They are widely used to find approximations to differential equations. There are a lot of numerical methods, whose deductions are made through expansions in Taylor Series. Depending on the manner in which expansion is made, it can be combined with other expansions to obtain derivatives with better numerical approximations. Usually when we get numerical derivative with better approaches, it is necessary to increase the amount of points used in the grid. An alternative to this problem are compact methods, which achieve better approximations for the same derivative but without increasing the number of mesh points. This work is an attempt to develop the Compact-SSFD method for the Schrödinger Equation Nonlinear Fourth Order. SSFD methods are used to separate the parts of a differential equation so that each part can be solved separately. For example in the case of non-linear differential equations it is often used to separate the linear parts of nonlinear parts. In Compact-SSFD methods nonlinear parts are resolved exactly as the linear are resolved using compact methods. Our work is inspired in the Dehghan and Taleei’s work where was used the Compact-SSFD method for solving numerically the equation Nonlinear Schrödinger. Before we try to develop our method, the results of the authors was correctly reproduced. But when we try to deduce a method analogous to the differential equation we wanted to solve, which also involves derived from fourth order, we realized that a Compact type method does not get as trivially as in the case of used to approach second-order derivatives.

Métodos de diferenças finitas pertencem a uma classe de métodos numéricos usados para se aproximar derivadas. Eles são amplamente usados para encontrar-se soluções numéricas para equações diferenciais. Há uma grande quantidade de métodos numéricos, cuja as deduções são feitas através de expansões em séries de Taylor. Dependendo da forma em que uma expansão é feita, ela pode ser combinada com…

Advisors/Committee Members: Cardoso, Wesley Bueno, Cardoso, Wesley Bueno, Avelar, Ardiley Torres, Bazeia, Dionisio, Mendanha Neto, Sebastião Antônio.

Subjects/Keywords: Compact-SSFD; Métodos de diferenças finitas; Dispersão de quarta ordem; Sólitons; Equação de Schrödinger não linear; Compact-SSFD; Finite difference scheme; Fourth-order dispersion; Sólitons; Nonlinear Schrödinger equation; FISICA GERAL::FISICA CLASSICA E FISICA QUANTICA; MECANICA E CAMPOS

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Jesus, H. N. (2016). Método compacto de diferenças finitas para resolver equações de Schrödinger não lineares com dispersão de quarta ordem. (Masters Thesis). Universidade Federal de Goiás; Programa de Pós-graduação em Fisica (IF); UFG; Brasil; Instituto de Física – IF (RG). Retrieved from http://repositorio.bc.ufg.br/tede/handle/tede/6495

Chicago Manual of Style (16^th Edition):

Jesus, Hugo Naves. “Método compacto de diferenças finitas para resolver equações de Schrödinger não lineares com dispersão de quarta ordem.” 2016. Masters Thesis, Universidade Federal de Goiás; Programa de Pós-graduação em Fisica (IF); UFG; Brasil; Instituto de Física – IF (RG). Accessed April 10, 2021. http://repositorio.bc.ufg.br/tede/handle/tede/6495.

MLA Handbook (7^th Edition):

Jesus, Hugo Naves. “Método compacto de diferenças finitas para resolver equações de Schrödinger não lineares com dispersão de quarta ordem.” 2016. Web. 10 Apr 2021.

Vancouver:

Jesus HN. Método compacto de diferenças finitas para resolver equações de Schrödinger não lineares com dispersão de quarta ordem. [Internet] [Masters thesis]. Universidade Federal de Goiás; Programa de Pós-graduação em Fisica (IF); UFG; Brasil; Instituto de Física – IF (RG); 2016. [cited 2021 Apr 10]. Available from: http://repositorio.bc.ufg.br/tede/handle/tede/6495.

Council of Science Editors:

Jesus HN. Método compacto de diferenças finitas para resolver equações de Schrödinger não lineares com dispersão de quarta ordem. [Masters Thesis]. Universidade Federal de Goiás; Programa de Pós-graduação em Fisica (IF); UFG; Brasil; Instituto de Física – IF (RG); 2016. Available from: http://repositorio.bc.ufg.br/tede/handle/tede/6495

28. Kemajou, Elisabeth. A Stochastic Delay Model for Pricing Corporate Liabilities.

Degree: PhD, Mathematics, 2012, Southern Illinois University

URL: https://opensiuc.lib.siu.edu/dissertations/547

► We suppose that the price of a firm follows a nonlinear stochastic delay differential equation. We also assume that any claim whose value depends… (more)

Subjects/Keywords: Corporate Liabilities; Debt and Loan Guarantees; Euler Maruyama Scheme; Finite Difference - Finite Volume; Pricing; Stochastic Delay Differential Equations

…difference and finite volume (methods most used are finite element and finite difference)… …1.2.2 Euler Maruyama Scheme for SFDEs 10 . . . . . . . . . . . . . . . . . 14 2 A… …x29; corresponds to the absolute value of the difference between the debt with the delay… …value of the difference between the debt with the delay model and the debt with Merton’s model… …at the bottom (b) corresponds to the absolute value of the difference between the…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kemajou, E. (2012). A Stochastic Delay Model for Pricing Corporate Liabilities. (Doctoral Dissertation). Southern Illinois University. Retrieved from https://opensiuc.lib.siu.edu/dissertations/547

Chicago Manual of Style (16^th Edition):

Kemajou, Elisabeth. “A Stochastic Delay Model for Pricing Corporate Liabilities.” 2012. Doctoral Dissertation, Southern Illinois University. Accessed April 10, 2021. https://opensiuc.lib.siu.edu/dissertations/547.

MLA Handbook (7^th Edition):

Kemajou, Elisabeth. “A Stochastic Delay Model for Pricing Corporate Liabilities.” 2012. Web. 10 Apr 2021.

Vancouver:

Kemajou E. A Stochastic Delay Model for Pricing Corporate Liabilities. [Internet] [Doctoral dissertation]. Southern Illinois University; 2012. [cited 2021 Apr 10]. Available from: https://opensiuc.lib.siu.edu/dissertations/547.

Council of Science Editors:

Kemajou E. A Stochastic Delay Model for Pricing Corporate Liabilities. [Doctoral Dissertation]. Southern Illinois University; 2012. Available from: https://opensiuc.lib.siu.edu/dissertations/547

29. Bai, Zeyu. New Multi-Layer Compact High-Order Finite Difference Methods with Spectral-Like Resolution for Compressible Flow Simulations.

Degree: Mechanical Engineering, 2019, UCLA

URL: http://www.escholarship.org/uc/item/1cz701dc

► Numerical simulations of multi-scale flow problems such as hypersonic boundary layer transition, turbulent flows, computational aeroacoustics and other flow problems with complex physics require high-order… (more)

▼ Numerical simulations of multi-scale flow problems such as hypersonic boundary layer transition, turbulent flows, computational aeroacoustics and other flow problems with complex physics require high-order methods with high spectral resolutions. For instance, the receptivity mechanisms in the hypersonic boundary layer are the resonant interactions between forcing waves and boundary-layer waves, and the complex wave interactions are difficult to be accurately predicted by conventional low-order numerical methods. High-order methods, which are robust and accurate in resolving a wide range of time and length scales, are required. The objective of this dissertation is to develop and analyze new very high-order numerical methods with spectral-like resolution for flow simulations on structured grids, with focus on smooth flow problems involving multiple scales. These numerical methods include: the multi-layer compact (MLC) scheme, the directional multi-layer compact (DMLC) scheme, and the least square multi-layer compact (LSMLC) scheme.In the first place, a new upwind multi-layer compact (MLC) scheme up to seventh order is derived in a finite difference framework. By using the ‘multi-layer’ idea, which introduces first derivatives into the MLC schemes and approximates the second derivatives, the resolution of the MLC schemes can be significantly improved within a compact grid stencil. The auxiliary equations are introduced, and they are the only nontrivial equations. The original equation requires no approximation which contributes to good computational efficiency. In addition, the upwind MLC schemes are derived on centered stencils with adjustable parameters to control the dissipation. Fourier analysis is performed to show that the new MLC schemes have very small dissipation and dispersion in a wide range of wavenumbers in both one and two-dimensional cases, and the anisotropic error is much smaller than conventional finite difference methods in the two-dimensional case. Comparison with discontinuous-Galerkin methods is performed with Fourier analysis as well. Furthermore, stability analysis with matrix method shows that high-order boundary closure schemes are stable because of compactness of the stencils. The accuracies and rates of convergence of the new schemes are validated by numerical experiments of the linear advection equation, the nonlinear Euler equations, and the Navier-Stokes equations in both one and two-dimensional settings. The numerical results show that good computational efficiency, very high-order accuracies, and high spectral resolutions especially on coarse meshes can be attained with the MLC scheme. On the other hand, even though the MLC scheme is promising in most test cases, it shows weak numerical instabilities for a small range of wavenumbers when it is applied to multi-dimensional flows, which are mainly triggered by the inconsistency between its one and two-dimensional formulations. The instability could lead to divergence in long-time multi-dimensional simulations. Moreover, the…

Subjects/Keywords: Fluid mechanics; Computational physics; Applied mathematics; Finite difference; Flow simulation; High-order methods; Multi-layer compact scheme; Spectral-like resolution; Upwind scheme

…52] is another widely used finite difference scheme with spectral-like resolution. Tam… …8 Fig. 2.1. A uniform mesh for conventional finite difference approximations… …3.8. Polar plot of cp for conventional finite difference methods (contours are plotted… …discontinuous-Galerkin (DG) methods [16–19], high-order finite difference methods… …methods, finite difference methods have the advantages of simple formulations and high…

13 more images…

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APA (6^th Edition):

Bai, Z. (2019). New Multi-Layer Compact High-Order Finite Difference Methods with Spectral-Like Resolution for Compressible Flow Simulations. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/1cz701dc

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bai, Zeyu. “New Multi-Layer Compact High-Order Finite Difference Methods with Spectral-Like Resolution for Compressible Flow Simulations.” 2019. Thesis, UCLA. Accessed April 10, 2021. http://www.escholarship.org/uc/item/1cz701dc.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bai, Zeyu. “New Multi-Layer Compact High-Order Finite Difference Methods with Spectral-Like Resolution for Compressible Flow Simulations.” 2019. Web. 10 Apr 2021.

Vancouver:

Bai Z. New Multi-Layer Compact High-Order Finite Difference Methods with Spectral-Like Resolution for Compressible Flow Simulations. [Internet] [Thesis]. UCLA; 2019. [cited 2021 Apr 10]. Available from: http://www.escholarship.org/uc/item/1cz701dc.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bai Z. New Multi-Layer Compact High-Order Finite Difference Methods with Spectral-Like Resolution for Compressible Flow Simulations. [Thesis]. UCLA; 2019. Available from: http://www.escholarship.org/uc/item/1cz701dc

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

RMIT University

30. Ly, E. Numerical schemes for unsteady transonic flow calculation.

Degree: 2000, RMIT University

URL: http://researchbank.rmit.edu.au/view/rmit:9812

► An obvious reason for studying unsteady flows is the prediction of the effect of unsteady aerodynamic forces on a flight vehicle, since these effects tend… (more)

▼ An obvious reason for studying unsteady flows is the prediction of the effect of unsteady aerodynamic forces on a flight vehicle, since these effects tend to increase the likelihood of aeroelastic instabilities. This is a major concern in aerodynamic design of aircraft that operate in transonic regime, where the flows are characterised by the presence of adjacent regions of subsonic and supersonic flow, usually accompanied by weak shocks. It has been a common expectation that the numerical approach as an alternative to wind tunnel experiments would become more economical as computers became less expensive and more powerful. However even with all the expected future advances in computer technology, the cost of a numerical flutter analysis (computational aeroelasticity) for a transonic flight remains prohibitively high. Hence it is vitally important to develop an efficient, cheape r (in the sense of computational cost) and physically accurate flutter simulation technique which is capable of reproducing the data, which would otherwise be obtained from wind tunnel tests, at least to some acceptable engineering accuracy, and that it is essentially appropriate for industrial applications. This need motivated the present research work on exploring and developing efficient and physically accurate computational techniques for steady, unsteady and time-linearised calculations of transonic flows over an aircraft wing with moving shocks. This dissertation is subdivided into eight chapters, seven appendices and a bibliography listing all the reference materials used in the research work. The research work initially starts with a literature survey in unsteady transonic flow theory and calculations, in which emphasis is placed upon the developments in these areas in the last three decades. Chapter 3 presents the small disturbance theory for potential flows in the subsonic, transonic and supersonic regimes, including the required boundary conditions and shock jump conditions. The flow is assumed irrotational and inviscid, so that the equation of state, continuity equation and Bernoulli's equation formulated in Appendices A and B can be employed to formulate the governing fluid equation in terms of total velocity potential. Furthermore for transonic flow with free-stream Mach number close to unity, we show in Appendix C that the shocks that appear are weak enough to allow us to neglect the flow rotationality. The formulations are based on the main assumption that aerofoil slopes are everywhere small, and the flow quantities are small perturbations about their free-stream values. In Chapter 4, we developed an improved approximate factorisation algorithm that solves the two-dimensional steady subsonic small disturbance equation with nonreflecting far-field boundary conditions. The finite difference formulation for the improved algorithm is presented in Appendix D, with the description of the solver used for solving the system of difference equations described in Appendix E. The calculation of steady and unsteady nonlinear…

Subjects/Keywords: Fields of Research; Aerodynamics; Aeroelasticity; Flutter; Numerical methods; Potential flow; Shock wave; Steady; Subsonic; Time-linearise; Transonic small disturbance equation; Type-dependent finite difference scheme; Unsteady

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ly, E. (2000). Numerical schemes for unsteady transonic flow calculation. (Thesis). RMIT University. Retrieved from http://researchbank.rmit.edu.au/view/rmit:9812

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ly, E. “Numerical schemes for unsteady transonic flow calculation.” 2000. Thesis, RMIT University. Accessed April 10, 2021. http://researchbank.rmit.edu.au/view/rmit:9812.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ly, E. “Numerical schemes for unsteady transonic flow calculation.” 2000. Web. 10 Apr 2021.

Vancouver:

Ly E. Numerical schemes for unsteady transonic flow calculation. [Internet] [Thesis]. RMIT University; 2000. [cited 2021 Apr 10]. Available from: http://researchbank.rmit.edu.au/view/rmit:9812.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ly E. Numerical schemes for unsteady transonic flow calculation. [Thesis]. RMIT University; 2000. Available from: http://researchbank.rmit.edu.au/view/rmit:9812

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations