subject:(mixed type functional differential equation)

Brno University of Technology

1. Vážanová, Gabriela. Existence a vlastnosti globálních řešení funkcionálních diferenciálních rovnic smíšeného typu: Existence and Properties of Global Solutions of Mixed-Type Functional Differential Equations.

Degree: 2020, Brno University of Technology

URL: http://hdl.handle.net/11012/195761

► This thesis focuses on functional differential equations of mixed type also referred to as advance-delay equations. It gives sufficient conditions for the existence of global… (more)

Subjects/Keywords: funkcionální diferenciální rovnice smíšeného typu; zpožděný argument; předcházející argument; semi-globální řešení; globální řešení; monotónní iterační metoda; Schauderova-Tychonovova věta o pevném bodu; mixed-type functional differential equation; delayed argument; advanced argument; semi-global solution; global solution; monotone iterative method; Schauder-Tychonoff fixed point theorem

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APA (6^th Edition):

Vážanová, G. (2020). Existence a vlastnosti globálních řešení funkcionálních diferenciálních rovnic smíšeného typu: Existence and Properties of Global Solutions of Mixed-Type Functional Differential Equations. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/195761

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):

Vážanová, Gabriela. “Existence a vlastnosti globálních řešení funkcionálních diferenciálních rovnic smíšeného typu: Existence and Properties of Global Solutions of Mixed-Type Functional Differential Equations.” 2020. Thesis, Brno University of Technology. Accessed January 20, 2021. http://hdl.handle.net/11012/195761.

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

MLA Handbook (7^th Edition):

Vážanová, Gabriela. “Existence a vlastnosti globálních řešení funkcionálních diferenciálních rovnic smíšeného typu: Existence and Properties of Global Solutions of Mixed-Type Functional Differential Equations.” 2020. Web. 20 Jan 2021.

Vancouver:

Vážanová G. Existence a vlastnosti globálních řešení funkcionálních diferenciálních rovnic smíšeného typu: Existence and Properties of Global Solutions of Mixed-Type Functional Differential Equations. [Internet] [Thesis]. Brno University of Technology; 2020. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/11012/195761.

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

Council of Science Editors:

Vážanová G. Existence a vlastnosti globálních řešení funkcionálních diferenciálních rovnic smíšeného typu: Existence and Properties of Global Solutions of Mixed-Type Functional Differential Equations. [Thesis]. Brno University of Technology; 2020. Available from: http://hdl.handle.net/11012/195761

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

University of Kansas

2. Garnier-Villarreal, Mauricio. Intra and Interindividual Variation Modeling: Bayesian Mixed-Effects Nonstationary Latent Differential Equation Model.

Degree: PhD, Psychology, 2016, University of Kansas

URL: http://hdl.handle.net/1808/22394

► Longitudinal analysis are powerful methods to estimate change over time. The combination of nomothetic and idiographic approaches within longitudinal analysis would allow to answer questions… (more)

▼ Longitudinal analysis are powerful methods to estimate change over time. The combination of nomothetic and idiographic approaches within longitudinal analysis would allow to answer questions related to intra and interindividual variability in one integrated method. In order to have lag independent results, longitudinal analysis should be made with a continuous-time method. Continuous-time methods take into account that the phenomena of interest does not stop existing between measurement time points. Differential equations modeling is a method that studies intraindividual variability as a form of continuous-time modeling, which can be implemented as fixed-effects or mixed-effects. Mixed-effects models allows to integrate interindividual variability, and properly estimate non-dependent data. Latent Differential Equation (LDE) model is a method to estimate differential equation models from a familiar framework in psychology (Structural Equation Modeling). This dissertation tend to extend the LDE by adding the mixed-effects, estimating subject and sample parameters, including interindividual variability on parameters of interest. The analyses were implemented from the Bayesian framework, this framework provides several advantages, one of them being that allow us to make direct inference of the estimated parameters. The proposed model (Bayesian Mixed-Effects Nonstationary Latent Differential Equation Model, BMNLDE) was tested in a simulation, and exemplify with a real data describing the sedentary behavior in older adults. The simulation shows that the BMNLDE model estimate parameters with low bias, the 95% Credible Interval coverage is unreliable when the model presents low frequency and high damping. The frequency of the oscillating processes was the main factor that affected bias and CI coverage. The BMNLDE model showed to be an appropriate method to include intra and interindividual variability. The simulation was capable to demonstrate the conditions in which the model performs as desire, and under which conditions the model does not perform as desire. The real data example shows an application of the BMNLDE model, were the BMNLDE model describes the oscillating behavior of the sedentary behavior. It also shows how it can used to compare parameters of interest between groups. Advisors/Committee Members: Johnson, David K (advisor), Wu, Wei (cmtemember), Watts, Amber (cmtemember), Skorupski, William P (cmtemember), Deboeck, Pascal R (cmtemember).

Subjects/Keywords: Quantitative psychology; Bayesian; Latent Differential Equation; Mixed-effects

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APA (6^th Edition):

Garnier-Villarreal, M. (2016). Intra and Interindividual Variation Modeling: Bayesian Mixed-Effects Nonstationary Latent Differential Equation Model. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/22394

Chicago Manual of Style (16^th Edition):

Garnier-Villarreal, Mauricio. “Intra and Interindividual Variation Modeling: Bayesian Mixed-Effects Nonstationary Latent Differential Equation Model.” 2016. Doctoral Dissertation, University of Kansas. Accessed January 20, 2021. http://hdl.handle.net/1808/22394.

MLA Handbook (7^th Edition):

Garnier-Villarreal, Mauricio. “Intra and Interindividual Variation Modeling: Bayesian Mixed-Effects Nonstationary Latent Differential Equation Model.” 2016. Web. 20 Jan 2021.

Vancouver:

Garnier-Villarreal M. Intra and Interindividual Variation Modeling: Bayesian Mixed-Effects Nonstationary Latent Differential Equation Model. [Internet] [Doctoral dissertation]. University of Kansas; 2016. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/1808/22394.

Council of Science Editors:

Garnier-Villarreal M. Intra and Interindividual Variation Modeling: Bayesian Mixed-Effects Nonstationary Latent Differential Equation Model. [Doctoral Dissertation]. University of Kansas; 2016. Available from: http://hdl.handle.net/1808/22394

Vanderbilt University

3. Gao, Min. Age-structured Population Models with Applications.

Degree: PhD, Mathematics, 2015, Vanderbilt University

URL: http://hdl.handle.net/1803/13547

► A general model of age-structured population dynamics of early humans is developed and the fundamental properties of its solutions are analyzed. The model is a… (more)

Subjects/Keywords: semilinear partial differential equation; steady states; stability; Lyapunov functional; population dynamics

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APA (6^th Edition):

Gao, M. (2015). Age-structured Population Models with Applications. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://hdl.handle.net/1803/13547

Chicago Manual of Style (16^th Edition):

Gao, Min. “Age-structured Population Models with Applications.” 2015. Doctoral Dissertation, Vanderbilt University. Accessed January 20, 2021. http://hdl.handle.net/1803/13547.

MLA Handbook (7^th Edition):

Gao, Min. “Age-structured Population Models with Applications.” 2015. Web. 20 Jan 2021.

Vancouver:

Gao M. Age-structured Population Models with Applications. [Internet] [Doctoral dissertation]. Vanderbilt University; 2015. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/1803/13547.

Council of Science Editors:

Gao M. Age-structured Population Models with Applications. [Doctoral Dissertation]. Vanderbilt University; 2015. Available from: http://hdl.handle.net/1803/13547

University of Limerick

4. Carey, Michelle. Generalised smoothing in functional data analysis.

Degree: 2012, University of Limerick

URL: http://hdl.handle.net/10344/2472

►

peer-reviewed

The incorporation of model-based penalties in a penalised regression frame- work (generalised smoothing) has been the subject of many publications, most notably: Cao and… (more)

▼

peer-reviewed

The incorporation of model-based penalties in a penalised regression frame- work (generalised smoothing) has been the subject of many publications, most notably: Cao and Ramsay (2007); Heckman and Ramsay (2000); Ramsay and Silverman (2005); Ramsay et al. (2007). Generalised smooth- ing facilitates the estimation of the parameters of an ordinary di erential equation (ODE) from noisy data without the speci cation of an explicit expression of the functional entity described by the ODE. This is a notable consequence of the smoothing procedure however it is not its primary aim. Generalised smoothing aims to obtain an estimated functional entity that adheres to the data and incorporates domain speci c information de ned by the ODE. The existing methodology for the estimation of the param- eters in generalised smoothing is hindered by the absence of an explicit expression in terms of the parameters of the ODE for the penalty within penalised tting criterion. The aim of this research is to obtain this ex- plicit expression for penalties de ned by B{spline basis functions in order to facilitate the development of the estimation procedure. The recursive algorithm developed by de Boor (2001) is the predominant methodology for the evaluation of B-spline basis functions over a given in- terval. While this algorithm is a fast and numerically stable method for nding a point on a B-spline curve given the domain, it does not explicitly provide knowledge of the internal structure of the B-spline functions. This work introduces an alternative representation of B{spline basis functions in terms of the underlying polynomials that comprise the B{spline. This alterative representation of B{spline basis functions produces generalised penalties which can be written explicitly in terms of the parameters of the ODE. A joint estimation strategy in which the penalised least squares cri- terion is minimised with respect to the parameters of the B-spline and the parameters of the ODE is developed. Finally this joint estimation strat- egy is shown to produce estimates of both parameters that have a higher accuracy and are more computationally e cient than estimates developed by existing methods.

Advisors/Committee Members: Gath, Eugene, Hayes, Kevin, MACSI.

Subjects/Keywords: functional data analysis; ordinary differential equation (ODE); generalised smoothing

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APA (6^th Edition):

Carey, M. (2012). Generalised smoothing in functional data analysis. (Thesis). University of Limerick. Retrieved from http://hdl.handle.net/10344/2472

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):

Carey, Michelle. “Generalised smoothing in functional data analysis.” 2012. Thesis, University of Limerick. Accessed January 20, 2021. http://hdl.handle.net/10344/2472.

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

MLA Handbook (7^th Edition):

Carey, Michelle. “Generalised smoothing in functional data analysis.” 2012. Web. 20 Jan 2021.

Vancouver:

Carey M. Generalised smoothing in functional data analysis. [Internet] [Thesis]. University of Limerick; 2012. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/10344/2472.

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

Council of Science Editors:

Carey M. Generalised smoothing in functional data analysis. [Thesis]. University of Limerick; 2012. Available from: http://hdl.handle.net/10344/2472

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

Brno University of Technology

5. Baštincová, Alena. Odhady řešení diferenciálních systémů se zpožděným argumentem neutrálního typu: Estimation of Solutions of Differential Systems with Delayed Argument of Neutral Type.

Degree: 2019, Brno University of Technology

URL: http://hdl.handle.net/11012/3027

► This dissertation discusses the solutions to the differential equation and to systems of differential equations. The main attention is paid to study of asymptotical properties… (more)

Subjects/Keywords: diferenciální rovnice; systémy diferenciálních rovnic; rovnice neutrálního typu; druhá Ljapunovova metoda; funkcionál Ljapunova-Krasovského; stabilita řešení; zpožděný argument.; differential equation; systems of differential equations; equations of the neutral type; the second method of Lyapunov; functional Lyapunov-Krasovskii; stability of solution; delayed argument.

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APA (6^th Edition):

Baštincová, A. (2019). Odhady řešení diferenciálních systémů se zpožděným argumentem neutrálního typu: Estimation of Solutions of Differential Systems with Delayed Argument of Neutral Type. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/3027

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):

Baštincová, Alena. “Odhady řešení diferenciálních systémů se zpožděným argumentem neutrálního typu: Estimation of Solutions of Differential Systems with Delayed Argument of Neutral Type.” 2019. Thesis, Brno University of Technology. Accessed January 20, 2021. http://hdl.handle.net/11012/3027.

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

MLA Handbook (7^th Edition):

Baštincová, Alena. “Odhady řešení diferenciálních systémů se zpožděným argumentem neutrálního typu: Estimation of Solutions of Differential Systems with Delayed Argument of Neutral Type.” 2019. Web. 20 Jan 2021.

Vancouver:

Baštincová A. Odhady řešení diferenciálních systémů se zpožděným argumentem neutrálního typu: Estimation of Solutions of Differential Systems with Delayed Argument of Neutral Type. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/11012/3027.

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

Council of Science Editors:

Baštincová A. Odhady řešení diferenciálních systémů se zpožděným argumentem neutrálního typu: Estimation of Solutions of Differential Systems with Delayed Argument of Neutral Type. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/3027

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

6. Hupkes, Hermen Jan. Invariant manifolds and applications for functional differential equations of mixed type.

Degree: 2008, Mathematical Institute, Faculty of Science, Leiden University

URL: http://hdl.handle.net/1887/12947

► Differential equations posed on discrete lattices have by now become a popular modelling tool used in a wide variety of scientific disciplines. Such equations allow… (more)

Subjects/Keywords: Advanced and retarded arguments; Center manifold; Finite dimensional reduction; Hopf bifurcation; Invariant manifold; Life-cycle model; Lin's method; Mixed type functional differential equation; Advanced and retarded arguments; Center manifold; Finite dimensional reduction; Hopf bifurcation; Invariant manifold; Life-cycle model; Lin's method; Mixed type functional differential equation

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

APA (6^th Edition):

Hupkes, H. J. (2008). Invariant manifolds and applications for functional differential equations of mixed type. (Doctoral Dissertation). Mathematical Institute, Faculty of Science, Leiden University. Retrieved from http://hdl.handle.net/1887/12947

Chicago Manual of Style (16^th Edition):

Hupkes, Hermen Jan. “Invariant manifolds and applications for functional differential equations of mixed type.” 2008. Doctoral Dissertation, Mathematical Institute, Faculty of Science, Leiden University. Accessed January 20, 2021. http://hdl.handle.net/1887/12947.

MLA Handbook (7^th Edition):

Hupkes, Hermen Jan. “Invariant manifolds and applications for functional differential equations of mixed type.” 2008. Web. 20 Jan 2021.

Vancouver:

Hupkes HJ. Invariant manifolds and applications for functional differential equations of mixed type. [Internet] [Doctoral dissertation]. Mathematical Institute, Faculty of Science, Leiden University; 2008. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/1887/12947.

Council of Science Editors:

Hupkes HJ. Invariant manifolds and applications for functional differential equations of mixed type. [Doctoral Dissertation]. Mathematical Institute, Faculty of Science, Leiden University; 2008. Available from: http://hdl.handle.net/1887/12947

Syracuse University

7. Venouziou, Moises. Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions.

Degree: PhD, Mathematics, 2011, Syracuse University

URL: https://surface.syr.edu/mat_etd/66

► The mixed problem is to find a harmonic or biharmonic function having prescribed Dirichlet data on one part of the boundary and prescribed Neumann… (more)

Subjects/Keywords: biharmonic; boundary value problem; harmonic; layer potential; mixed problem; partial differential equation; Mathematics

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APA (6^th Edition):

Venouziou, M. (2011). Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions. (Doctoral Dissertation). Syracuse University. Retrieved from https://surface.syr.edu/mat_etd/66

Chicago Manual of Style (16^th Edition):

Venouziou, Moises. “Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions.” 2011. Doctoral Dissertation, Syracuse University. Accessed January 20, 2021. https://surface.syr.edu/mat_etd/66.

MLA Handbook (7^th Edition):

Venouziou, Moises. “Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions.” 2011. Web. 20 Jan 2021.

Vancouver:

Venouziou M. Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions. [Internet] [Doctoral dissertation]. Syracuse University; 2011. [cited 2021 Jan 20]. Available from: https://surface.syr.edu/mat_etd/66.

Council of Science Editors:

Venouziou M. Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions. [Doctoral Dissertation]. Syracuse University; 2011. Available from: https://surface.syr.edu/mat_etd/66

University of Minnesota

8. Stoter, Klaas. The variational multiscale method for mixed finite element formulations.

Degree: MS, Mathematics, 2018, University of Minnesota

URL: http://hdl.handle.net/11299/198352

► In this thesis, the variational multiscale method is explored in the context of mixed formulations of partial differential equations. The domain decomposition variational multiscale method… (more)

▼ In this thesis, the variational multiscale method is explored in the context of mixed formulations of partial differential equations. The domain decomposition variational multiscale method that has recently been introduced by the author is used as a basis. The function spaces of both the primary and the auxiliary variable are decomposed in a coarse-scale and a fine-scale space. The mixed weak formulations are then derived on a per-element basis. The same scale decomposition is used to rewrite the transmission conditions, which are then incorporated into the weak formulations to couple the elements. The result is a mixed finite element formulation that includes all the fine-scale terms that capture the exact scale interaction, irrespective of the order of continuity of the coarse-scale and fine-scale function spaces. A closure model has to be substituted in place of the fine-scale terms. This closure model dictates the nature of the scale decomposition by imposing a constraint on the fine-scale solution. It is shown that, in the context of Poisson's equation, numerous existing discontinuous Galerkin formulations may be interpreted as particular choices of closure models. Due to the mixed origin of the formulation, a broad range of formulations may be retrieved. Also the Raviart-Thomas method, the Brezzi-Douglas-Marini method and hybridized formulations are investigated from this perspective. The associated fine-scale constraints are examined in depth. Similarly, an advection-diffusion problem is considered, and the fine-scale constraint associated with upwind finite element formulations are investigated. Finally, the residual-based modeling of the fine-scale solution is explored in the context of mixed formulations. Incorporation of the model for the one-dimensional advection-diffusion problem leads to a significant accuracy improvement. In particular does it mitigate the overshoot and the oscillation problems that are observed at boundary layers which occur for advection dominated problems.

Subjects/Keywords: Discontinuous Galerkin; Hybridizable discontinuous Galerkin; Mixed finite element formulation; Partial differential equation; Variational multiscale method

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APA (6^th Edition):

Stoter, K. (2018). The variational multiscale method for mixed finite element formulations. (Masters Thesis). University of Minnesota. Retrieved from http://hdl.handle.net/11299/198352

Chicago Manual of Style (16^th Edition):

Stoter, Klaas. “The variational multiscale method for mixed finite element formulations.” 2018. Masters Thesis, University of Minnesota. Accessed January 20, 2021. http://hdl.handle.net/11299/198352.

MLA Handbook (7^th Edition):

Stoter, Klaas. “The variational multiscale method for mixed finite element formulations.” 2018. Web. 20 Jan 2021.

Vancouver:

Stoter K. The variational multiscale method for mixed finite element formulations. [Internet] [Masters thesis]. University of Minnesota; 2018. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/11299/198352.

Council of Science Editors:

Stoter K. The variational multiscale method for mixed finite element formulations. [Masters Thesis]. University of Minnesota; 2018. Available from: http://hdl.handle.net/11299/198352

York University

9. Kosovalic, Nemanja. Algebraic-Delay Differential Systems: Co - Extendable Banach Manifolds and Linearization.

Degree: PhD, Mathematics & Statistics, 2015, York University

URL: http://hdl.handle.net/10315/28208

► Consider a population of individuals occupying some habitat, and assume that the population is structured by age. Suppose that there are two distinct life stages,… (more)

Subjects/Keywords: Applied mathematics; Functional differential equation; State-dependent delay; Nonlinear analysis; Age structured population

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APA (6^th Edition):

Kosovalic, N. (2015). Algebraic-Delay Differential Systems: Co - Extendable Banach Manifolds and Linearization. (Doctoral Dissertation). York University. Retrieved from http://hdl.handle.net/10315/28208

Chicago Manual of Style (16^th Edition):

Kosovalic, Nemanja. “Algebraic-Delay Differential Systems: Co - Extendable Banach Manifolds and Linearization.” 2015. Doctoral Dissertation, York University. Accessed January 20, 2021. http://hdl.handle.net/10315/28208.

MLA Handbook (7^th Edition):

Kosovalic, Nemanja. “Algebraic-Delay Differential Systems: Co - Extendable Banach Manifolds and Linearization.” 2015. Web. 20 Jan 2021.

Vancouver:

Kosovalic N. Algebraic-Delay Differential Systems: Co - Extendable Banach Manifolds and Linearization. [Internet] [Doctoral dissertation]. York University; 2015. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/10315/28208.

Council of Science Editors:

Kosovalic N. Algebraic-Delay Differential Systems: Co - Extendable Banach Manifolds and Linearization. [Doctoral Dissertation]. York University; 2015. Available from: http://hdl.handle.net/10315/28208

NSYSU

10. Huang, Jen-Feng. Statistical Analysis of Alignment and Performance for Chip-to-Chip Communication.

Degree: Master, Applied Mathematics, 2013, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624113-153541

► Using capacitive coupling chip-to-chip signaling in 3D integration system offers an interesting tradeoff between design and packaging complexity versus power consumption and performance. Placing chips… (more)

Subjects/Keywords: SNR; S-parameter; mixed mode S-parameter; functional data analysis; differential signaling

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APA (6^th Edition):

Huang, J. (2013). Statistical Analysis of Alignment and Performance for Chip-to-Chip Communication. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624113-153541

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):

Huang, Jen-Feng. “Statistical Analysis of Alignment and Performance for Chip-to-Chip Communication.” 2013. Thesis, NSYSU. Accessed January 20, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624113-153541.

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

MLA Handbook (7^th Edition):

Huang, Jen-Feng. “Statistical Analysis of Alignment and Performance for Chip-to-Chip Communication.” 2013. Web. 20 Jan 2021.

Vancouver:

Huang J. Statistical Analysis of Alignment and Performance for Chip-to-Chip Communication. [Internet] [Thesis]. NSYSU; 2013. [cited 2021 Jan 20]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624113-153541.

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

Council of Science Editors:

Huang J. Statistical Analysis of Alignment and Performance for Chip-to-Chip Communication. [Thesis]. NSYSU; 2013. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624113-153541

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

11. Kim, Chanwoo. Initial Boundary Value Problem of the Boltzmann Equation.

Degree: PhD, Mathematics, 2011, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:11308/

► In this thesis, we study some boundary problems of the Boltzmann equation and the Boltzmann equation with the large external potential.If the gas is contained… (more)

Subjects/Keywords: partial differential equation

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APA (6^th Edition):

Kim, C. (2011). Initial Boundary Value Problem of the Boltzmann Equation. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:11308/

Chicago Manual of Style (16^th Edition):

Kim, Chanwoo. “Initial Boundary Value Problem of the Boltzmann Equation.” 2011. Doctoral Dissertation, Brown University. Accessed January 20, 2021. https://repository.library.brown.edu/studio/item/bdr:11308/.

MLA Handbook (7^th Edition):

Kim, Chanwoo. “Initial Boundary Value Problem of the Boltzmann Equation.” 2011. Web. 20 Jan 2021.

Vancouver:

Kim C. Initial Boundary Value Problem of the Boltzmann Equation. [Internet] [Doctoral dissertation]. Brown University; 2011. [cited 2021 Jan 20]. Available from: https://repository.library.brown.edu/studio/item/bdr:11308/.

Council of Science Editors:

Kim C. Initial Boundary Value Problem of the Boltzmann Equation. [Doctoral Dissertation]. Brown University; 2011. Available from: https://repository.library.brown.edu/studio/item/bdr:11308/

University of California – Riverside

12. Xiao, Zhen. Parameter Estimation in Differential Equation Based Models.

Degree: Applied Statistics, 2014, University of California – Riverside

URL: http://www.escholarship.org/uc/item/1zn481vg

► There is a long history for differential equations to be utilized to model dynamic pro- cesses in many disciplines such as physics, engineering, computer science,… (more)

Subjects/Keywords: Statistics; Mathematics; Cellular biology; B-spline regression; Constrained models; Differential equation; Expectation-Maximization algorithm; Mixed effects model; Restricted maximum likelihood

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APA (6^th Edition):

Xiao, Z. (2014). Parameter Estimation in Differential Equation Based Models. (Thesis). University of California – Riverside. Retrieved from http://www.escholarship.org/uc/item/1zn481vg

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):

Xiao, Zhen. “Parameter Estimation in Differential Equation Based Models.” 2014. Thesis, University of California – Riverside. Accessed January 20, 2021. http://www.escholarship.org/uc/item/1zn481vg.

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

MLA Handbook (7^th Edition):

Xiao, Zhen. “Parameter Estimation in Differential Equation Based Models.” 2014. Web. 20 Jan 2021.

Vancouver:

Xiao Z. Parameter Estimation in Differential Equation Based Models. [Internet] [Thesis]. University of California – Riverside; 2014. [cited 2021 Jan 20]. Available from: http://www.escholarship.org/uc/item/1zn481vg.

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

Council of Science Editors:

Xiao Z. Parameter Estimation in Differential Equation Based Models. [Thesis]. University of California – Riverside; 2014. Available from: http://www.escholarship.org/uc/item/1zn481vg

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

University of Washington

13. Xing, Yalan. Bias-Corrected Least Squares (BCLS) Method for Estimating Parameters in Nonlinear Ordinary Differential Equations Models with Mixed-Effects.

Degree: 2018, University of Washington

URL: http://hdl.handle.net/1773/42979

► Ordinary Differential Equation (ODE) is a popular framework for modeling temporal dynamics in a variety of scientific settings. When repeated measurements are available for the… (more)

Subjects/Keywords: Bias-corrected least squares method; Nonlinear mixed-effects model; Ordinary differential equation; Biostatistics; Statistics; Public health; Biostatistics

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APA (6^th Edition):

Xing, Y. (2018). Bias-Corrected Least Squares (BCLS) Method for Estimating Parameters in Nonlinear Ordinary Differential Equations Models with Mixed-Effects. (Thesis). University of Washington. Retrieved from http://hdl.handle.net/1773/42979

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):

Xing, Yalan. “Bias-Corrected Least Squares (BCLS) Method for Estimating Parameters in Nonlinear Ordinary Differential Equations Models with Mixed-Effects.” 2018. Thesis, University of Washington. Accessed January 20, 2021. http://hdl.handle.net/1773/42979.

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

MLA Handbook (7^th Edition):

Xing, Yalan. “Bias-Corrected Least Squares (BCLS) Method for Estimating Parameters in Nonlinear Ordinary Differential Equations Models with Mixed-Effects.” 2018. Web. 20 Jan 2021.

Vancouver:

Xing Y. Bias-Corrected Least Squares (BCLS) Method for Estimating Parameters in Nonlinear Ordinary Differential Equations Models with Mixed-Effects. [Internet] [Thesis]. University of Washington; 2018. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/1773/42979.

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

Council of Science Editors:

Xing Y. Bias-Corrected Least Squares (BCLS) Method for Estimating Parameters in Nonlinear Ordinary Differential Equations Models with Mixed-Effects. [Thesis]. University of Washington; 2018. Available from: http://hdl.handle.net/1773/42979

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

University of North Texas

14. Montgomery, Jason W. Condition-dependent Hilbert Spaces for Steepest Descent and Application to the Tricomi Equation.

Degree: 2014, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc699977/

► A steepest descent method is constructed for the general setting of a linear differential equation paired with uniqueness-inducing conditions which might yield a generally overdetermined… (more)

Subjects/Keywords: Tricomi equation; ladder conditions; steepest descent; mixed PDEx; boundary conditions; Hilbert space.; Method of steepest descent (Numerical analysis); Differential equations, Linear.

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APA (6^th Edition):

Montgomery, J. W. (2014). Condition-dependent Hilbert Spaces for Steepest Descent and Application to the Tricomi Equation. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc699977/

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):

Montgomery, Jason W. “Condition-dependent Hilbert Spaces for Steepest Descent and Application to the Tricomi Equation.” 2014. Thesis, University of North Texas. Accessed January 20, 2021. https://digital.library.unt.edu/ark:/67531/metadc699977/.

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

MLA Handbook (7^th Edition):

Montgomery, Jason W. “Condition-dependent Hilbert Spaces for Steepest Descent and Application to the Tricomi Equation.” 2014. Web. 20 Jan 2021.

Vancouver:

Montgomery JW. Condition-dependent Hilbert Spaces for Steepest Descent and Application to the Tricomi Equation. [Internet] [Thesis]. University of North Texas; 2014. [cited 2021 Jan 20]. Available from: https://digital.library.unt.edu/ark:/67531/metadc699977/.

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

Council of Science Editors:

Montgomery JW. Condition-dependent Hilbert Spaces for Steepest Descent and Application to the Tricomi Equation. [Thesis]. University of North Texas; 2014. Available from: https://digital.library.unt.edu/ark:/67531/metadc699977/

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

Kaunas University of Technology

15. Krencevičiūtė, Jolanta. Matjė tipo diferencialinių lygčių atraktorių skaičiavimas operatoriniu bei Rungės ir Kutos metodais.

Degree: Master, Mathematics, 2005, Kaunas University of Technology

URL: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2005~D_20050607_115753-11026 ;

► Various real processes, occurring in the nature, technology, etc., are usually described by differential equations. Due to the development of computer software, computers have become… (more)

Subjects/Keywords: Matjė tipo diferencialinė lygtis; Mathieu-type differential equation

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APA (6^th Edition):

Krencevičiūtė, Jolanta. (2005). Matjė tipo diferencialinių lygčių atraktorių skaičiavimas operatoriniu bei Rungės ir Kutos metodais. (Masters Thesis). Kaunas University of Technology. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2005~D_20050607_115753-11026 ;

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

Chicago Manual of Style (16^th Edition):

Krencevičiūtė, Jolanta. “Matjė tipo diferencialinių lygčių atraktorių skaičiavimas operatoriniu bei Rungės ir Kutos metodais.” 2005. Masters Thesis, Kaunas University of Technology. Accessed January 20, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2005~D_20050607_115753-11026 ;.

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

MLA Handbook (7^th Edition):

Krencevičiūtė, Jolanta. “Matjė tipo diferencialinių lygčių atraktorių skaičiavimas operatoriniu bei Rungės ir Kutos metodais.” 2005. Web. 20 Jan 2021.

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

Vancouver:

Krencevičiūtė, Jolanta. Matjė tipo diferencialinių lygčių atraktorių skaičiavimas operatoriniu bei Rungės ir Kutos metodais. [Internet] [Masters thesis]. Kaunas University of Technology; 2005. [cited 2021 Jan 20]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2005~D_20050607_115753-11026 ;.

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

Council of Science Editors:

Krencevičiūtė, Jolanta. Matjė tipo diferencialinių lygčių atraktorių skaičiavimas operatoriniu bei Rungės ir Kutos metodais. [Masters Thesis]. Kaunas University of Technology; 2005. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2005~D_20050607_115753-11026 ;

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

Vilnius Pedagogical University

16. Balčiūnas, Aidas. Baigtinio tipo g- struktūrų vidinės sietys.

Degree: Master, Mathematics, 2010, Vilnius Pedagogical University

URL: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100702_112749-84649 ;

►

Vienas svarbiausių šiuolaikinės diferencialinės geometrijos skyrių yra glodžių G- struktūrų teorija, kuriai pradžią davė klasikinės Rymano erdvės struktūros nagrinėjimas. G- struktūra glodžioje daugdaroje yra gaunama… (more)

▼

Vienas svarbiausių šiuolaikinės diferencialinės geometrijos skyrių yra glodžių G- struktūrų teorija, kuriai pradžią davė klasikinės Rymano erdvės struktūros nagrinėjimas. G- struktūra glodžioje daugdaroje yra gaunama paėmus jos reperių sluoksniuotės redukciją , atitinkantį neišsigimusių matricų grupės pogrupį G. G-struktūros egzistuoja ne bet kurioje daugdaroje. Šiame darbe yra nagrinėjama tik baigtinio tipo G- struktūrų vidinės sietys. Yra įrodoma, kad kiekvieną baigtinio tipo G- struktūrą atitinka baigtinio tipo diferencialinė lygtis ant daugdaros . G- struktūrų geometrija nagrinėjama netradiciniu būdu nagrinėjant jų infinitezimalių simetrijų diferencialines lygtis. Šiuo metodu yra išnagrinėtos G- struktūrų afininės sietys, taip pat ir normalinės sietys. Paskutiniosios G- struktūrų geometrijoje nebuvo iki šiol tyrinėtos.

The most important part of differential geometry in our days is the theory of smooth G- structures, which started with the analyses of clasical construction of Riemannian space. G-structure in smooth manifold is acquired, when we take reduction of its frame bundle corresponding to subgroup G of non-degeneracy matrix group . It‘s important to note, that G- structures do not exist in every manifold. In this paper are considering intrisic connections only of finite type of G- structures. It is proved, that every finite type of G- structure corresponds to finite type of differential equation on the manifold . The Geometry of G- structures is investigated not traditionally while analyzing differential equations of infetisimal simmetrics of G- structures. There are analysed affine connections of G- structures, also and normal connections. The former haven‘t been investigated in geometry of G- structures.

Advisors/Committee Members: Stankus, Eugenijus (Master’s degree committee chair), Jakaitytė, Eglė (Master’s degree session secretary), Januškevičius, Romanas (Master’s degree committee member), Rutkauskas, Stasys (Master’s degree committee member), Cibulskaitė, Nijolė (Master’s degree committee member), Vosylius, Romualdas (Master’s thesis supervisor), Mazėtis, Edmundas (Master’s thesis reviewer).

Subjects/Keywords: Sluoksniuotė; G- struktūra; Struktūros tipas; Diferencialinė Lie lygtis; Sietis; Bundle; G-structure; Type of structure; Differential Lie equation; Connection

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APA (6^th Edition):

Balčiūnas, Aidas. (2010). Baigtinio tipo g- struktūrų vidinės sietys. (Masters Thesis). Vilnius Pedagogical University. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100702_112749-84649 ;

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

Chicago Manual of Style (16^th Edition):

Balčiūnas, Aidas. “Baigtinio tipo g- struktūrų vidinės sietys.” 2010. Masters Thesis, Vilnius Pedagogical University. Accessed January 20, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100702_112749-84649 ;.

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

MLA Handbook (7^th Edition):

Balčiūnas, Aidas. “Baigtinio tipo g- struktūrų vidinės sietys.” 2010. Web. 20 Jan 2021.

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

Vancouver:

Balčiūnas, Aidas. Baigtinio tipo g- struktūrų vidinės sietys. [Internet] [Masters thesis]. Vilnius Pedagogical University; 2010. [cited 2021 Jan 20]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100702_112749-84649 ;.

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

Council of Science Editors:

Balčiūnas, Aidas. Baigtinio tipo g- struktūrų vidinės sietys. [Masters Thesis]. Vilnius Pedagogical University; 2010. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100702_112749-84649 ;

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

Colorado State University

17. Zhang, Chuan. Storing cycles in Hopfield-type neural networks.

Degree: PhD, Mathematics, 2014, Colorado State University

URL: http://hdl.handle.net/10217/83828

► The storage of pattern sequences is one of the most important tasks in both biological and artificial intelligence systems. Clarifying the underlying mathematical principles for… (more)

▼ The storage of pattern sequences is one of the most important tasks in both biological and artificial intelligence systems. Clarifying the underlying mathematical principles for both the storage and retrieval of pattern sequences in neural networks is fundamental for understanding the generation of rhythmic movements in animal nervous systems, as well as for designing electrical circuits to produce and control rhythmic output. In this dissertation, we investigate algebraic structures of binary cyclic patterns (or for short cycles) and study relations between these structures and the topology and dynamics of Hopfield-type networks with and without delay constructed from cyclic patterns using the pseudoinverse learning rule. A cycle defined by a binary matrix Σ is called admissible, if a connectivity matrix J satisfying the cycle's transition conditions exists. We show that Σ is admissible, if and only if its discrete Fourier transform contains exactly r = rank(Σ) nonzero columns. Based on the decomposition of the rows of Σ into disjoint subsets corresponding to loops, where a loop is defined by the set of all cyclic permutations of a row, cycles are classified as simple cycles, and separable or inseparable composite cycles. Simple cycles contain rows from one loop only, and the network topology is a feed-forward chain with feedback to one neuron if the loop-vectors in Σ are cyclic permutations of each other. For special cases this topology simplifies to a ring with only one feedback. Composite cycles contain rows from at least two disjoint loops, and the neurons corresponding to the loop-vectors in Σ from the same loop are identified with a cluster. Networks constructed from separable composite cycles decompose into completely isolated clusters. For inseparable composite cycles at least two clusters are connected, and the cluster-connectivity is related to the intersections of the spaces spanned by the loop-vectors of the clusters. The remainder of this thesis deals with the dynamics of Hopfield-type networks with connectivities constructed from admissible cycles. In this approach, the connectivity is composed of two contributions, C0J0 and C1J, where the matrix J0 serves to store cycle's patterns as fixed points and the matrix J induces the transitions between the cycle's patterns. Delayed couplings are associated with the transition matrix J. An admissible cycle is called strongly retrievable if for appropriate initial data the network dynamics undergoes a persistent oscillation in accordance with cycle's transition conditions. An admissible cycle is called weakly retrievable if for any M there exists a sufficiently large delay time τ such that at least M consecutive patterns are retrieved. When the Hamming distance between successive cycle-patterns is greater than one, the sign-changes in the network dynamics occur asynchronously, leading to the occurrence of intermediate patterns that are not contained in the cycle-matrix. We call the time-intervals with these intermediate patterns misalignment intervals and… Advisors/Committee Members: Dangelmayr, Gerhard (advisor), Oprea, Iuliana (advisor), Shipman, Patrick (committee member), Anderson, Chuck (committee member).

Subjects/Keywords: cyclic patterns; delay differential equation; Hopfield-type neural networks; nonlinear dynamics; pseudoinverse learning rule; storage and retrieval

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APA (6^th Edition):

Zhang, C. (2014). Storing cycles in Hopfield-type neural networks. (Doctoral Dissertation). Colorado State University. Retrieved from http://hdl.handle.net/10217/83828

Chicago Manual of Style (16^th Edition):

Zhang, Chuan. “Storing cycles in Hopfield-type neural networks.” 2014. Doctoral Dissertation, Colorado State University. Accessed January 20, 2021. http://hdl.handle.net/10217/83828.

MLA Handbook (7^th Edition):

Zhang, Chuan. “Storing cycles in Hopfield-type neural networks.” 2014. Web. 20 Jan 2021.

Vancouver:

Zhang C. Storing cycles in Hopfield-type neural networks. [Internet] [Doctoral dissertation]. Colorado State University; 2014. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/10217/83828.

Council of Science Editors:

Zhang C. Storing cycles in Hopfield-type neural networks. [Doctoral Dissertation]. Colorado State University; 2014. Available from: http://hdl.handle.net/10217/83828

Loughborough University

18. Luo, Ye. Random periodic solutions of stochastic functional differential equations.

Degree: PhD, 2014, Loughborough University

URL: http://hdl.handle.net/2134/16112

► In this thesis, we study the existence of random periodic solutions for both nonlinear dissipative stochastic functional differential equations (SFDEs) and semilinear nondissipative SFDEs in… (more)

Subjects/Keywords: 519.2; Random periodic solution; Random dynamical system; Stochastic functional differential equation; Pullback-convergence technique; Coupling method; Malliavin calculus; Relative compactness.

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APA (6^th Edition):

Luo, Y. (2014). Random periodic solutions of stochastic functional differential equations. (Doctoral Dissertation). Loughborough University. Retrieved from http://hdl.handle.net/2134/16112

Chicago Manual of Style (16^th Edition):

Luo, Ye. “Random periodic solutions of stochastic functional differential equations.” 2014. Doctoral Dissertation, Loughborough University. Accessed January 20, 2021. http://hdl.handle.net/2134/16112.

MLA Handbook (7^th Edition):

Luo, Ye. “Random periodic solutions of stochastic functional differential equations.” 2014. Web. 20 Jan 2021.

Vancouver:

Luo Y. Random periodic solutions of stochastic functional differential equations. [Internet] [Doctoral dissertation]. Loughborough University; 2014. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/2134/16112.

Council of Science Editors:

Luo Y. Random periodic solutions of stochastic functional differential equations. [Doctoral Dissertation]. Loughborough University; 2014. Available from: http://hdl.handle.net/2134/16112

Brno University of Technology

19. Kráčmar, Jiří. Diferenciální rovnice se zpožděním: Delay differential equations.

Degree: 2018, Brno University of Technology

URL: http://hdl.handle.net/11012/18931

► Bachelor thesis focuses on the issue of differential equations with delay, which, unlike ordinary differential equations, contain in the unknown function argument the function of… (more)

Subjects/Keywords: Funkcionální diferenciální rovnice; diferenciální rovnice se zpožděním; metoda kroků; růst populací; logistická rovnice.; Functional differential equations; differential equations with delay; method of steps; growth of populations; logistic equation.

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

APA (6^th Edition):

Kráčmar, J. (2018). Diferenciální rovnice se zpožděním: Delay differential equations. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/18931

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):

Kráčmar, Jiří. “Diferenciální rovnice se zpožděním: Delay differential equations.” 2018. Thesis, Brno University of Technology. Accessed January 20, 2021. http://hdl.handle.net/11012/18931.

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

MLA Handbook (7^th Edition):

Kráčmar, Jiří. “Diferenciální rovnice se zpožděním: Delay differential equations.” 2018. Web. 20 Jan 2021.

Vancouver:

Kráčmar J. Diferenciální rovnice se zpožděním: Delay differential equations. [Internet] [Thesis]. Brno University of Technology; 2018. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/11012/18931.

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

Council of Science Editors:

Kráčmar J. Diferenciální rovnice se zpožděním: Delay differential equations. [Thesis]. Brno University of Technology; 2018. Available from: http://hdl.handle.net/11012/18931

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

20. Youmbi Tchuenkam, Lord Bienvenu. Étude de méthodes précises d'approximation d'équations différentielles stochastiques ou d'équations aux dérivées partielles déterministes en Finance : Study of precise methods of approximation of stochastic differential equations or deterministic partial differential equations in Finance.

Degree: Docteur es, Mathématiques, 2016, Université Côte d'Azur (ComUE)

URL: http://www.theses.fr/2016AZUR4126

►

Les travaux exposés dans cette thèse sont consacrés à l’étude de méthodesprécises pour approcher des équations différentielles stochastiques ou deséquations aux dérivées partielles (EDP) déterministes.… (more)

▼

Les travaux exposés dans cette thèse sont consacrés à l’étude de méthodesprécises pour approcher des équations différentielles stochastiques ou deséquations aux dérivées partielles (EDP) déterministes. La première parties’inscrit dans le cadre du développement de méthodes visant à corriger le biaisdans les processus de diffusion paramétrique. Trois modèles sont étudiés enparticulier : Ornstein-Uhlenbeck, Auto-régressif et Moyenne mobile. A l’issuede ce travail, plusieurs approximations de biais ont été proposées suivant deuxapproches : la première consiste en un développement de Taylor del’estimateur obtenu alors que la seconde s'appuie sur une expansionstochastique de celui-ci.La deuxième partie de cette thèse porte sur l’approximation de l’équation de lachaleur obtenue après changement de variables à partir du modèle de Black etScholes. En général, on préfère utiliser des méthodes implicites pour résoudredes EDP paraboliques mais depuis quelques années, les méthodes dites deRunge-Kutta explicites stabilisées, sont de plus en plus utilisées. Nousmontrons que l’utilisation de ce type de méthodes explicites et notamment lesschémas ROCK donnent de très bons résultats même si les conditions initialessont peu régulières, ce qui est le cas dans les modèles financiers

The work presented in this thesis is devoted to the study of precise methods forapproximating stochastic differential equations (SDE) or deterministic partialdifferential equations (PDE). The first part is devoted to the development ofbias correction methods in parametric diffusion processes. Three models arestudied in particular : Ornstein-Uhlenbeck, auto-regressive and Movingaverage. At the end of this work, several approximations of bias have beenproposed following two approaches : the first consists in a Taylor developmentof the obtained estimator while the second one relies on a stochastic expansionof the latter.The second part of this thesis deals with the approximation of the heatequation obtained after changing variables from the Black-Scholes model. Likethe vast majority of PDE, this equation does not have an exact solution, sosolutions must be approached using explicit or implicit time schemes. Itis often customary to prefer the use of implicit methods to solve parabolic PDEsuch as the heat equation, but in the past few years, the stabilized explicitRunge-Kutta methods which have the largest possible domains of stabilityalong the negative real axis, are increasingly used. We show that the useof this type of explicit methods and in particular the ROCK (Runge-Orthogonal-Chebyshev-Kutta) schemes give very good results even if the initial conditionsare not very regular, which is the case in the financial models

Advisors/Committee Members: Descombes, Stéphane (thesis director), Pelgrin, Florian (thesis director).

Subjects/Keywords: Biais; Équation différentielle stochastique; Expansion stochastique; Expansion de type Nagar; Processus de diffusion; Équation aux dérivées partielles; Méthodes ROCK (Runge-Orthogonal-Chebyshev-Kutta); Bias; Stochastic differential equation; Stochastic expansion; Nagar's type expansion; Diffusion processes; Partial differential equation; ROCK methods

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

APA (6^th Edition):

Youmbi Tchuenkam, L. B. (2016). Étude de méthodes précises d'approximation d'équations différentielles stochastiques ou d'équations aux dérivées partielles déterministes en Finance : Study of precise methods of approximation of stochastic differential equations or deterministic partial differential equations in Finance. (Doctoral Dissertation). Université Côte d'Azur (ComUE). Retrieved from http://www.theses.fr/2016AZUR4126

Chicago Manual of Style (16^th Edition):

Youmbi Tchuenkam, Lord Bienvenu. “Étude de méthodes précises d'approximation d'équations différentielles stochastiques ou d'équations aux dérivées partielles déterministes en Finance : Study of precise methods of approximation of stochastic differential equations or deterministic partial differential equations in Finance.” 2016. Doctoral Dissertation, Université Côte d'Azur (ComUE). Accessed January 20, 2021. http://www.theses.fr/2016AZUR4126.

MLA Handbook (7^th Edition):

Youmbi Tchuenkam, Lord Bienvenu. “Étude de méthodes précises d'approximation d'équations différentielles stochastiques ou d'équations aux dérivées partielles déterministes en Finance : Study of precise methods of approximation of stochastic differential equations or deterministic partial differential equations in Finance.” 2016. Web. 20 Jan 2021.

Vancouver:

Youmbi Tchuenkam LB. Étude de méthodes précises d'approximation d'équations différentielles stochastiques ou d'équations aux dérivées partielles déterministes en Finance : Study of precise methods of approximation of stochastic differential equations or deterministic partial differential equations in Finance. [Internet] [Doctoral dissertation]. Université Côte d'Azur (ComUE); 2016. [cited 2021 Jan 20]. Available from: http://www.theses.fr/2016AZUR4126.

Council of Science Editors:

Youmbi Tchuenkam LB. Étude de méthodes précises d'approximation d'équations différentielles stochastiques ou d'équations aux dérivées partielles déterministes en Finance : Study of precise methods of approximation of stochastic differential equations or deterministic partial differential equations in Finance. [Doctoral Dissertation]. Université Côte d'Azur (ComUE); 2016. Available from: http://www.theses.fr/2016AZUR4126

21. Koné, Mamadou Ibrahima. Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space.

Degree: Docteur es, Mathématiques appliquées, 2016, Paris 1

URL: http://www.theses.fr/2016PA01E063

►

L'objectif de cette thèse est de contribuer à l'optimisation de problèmes dynamiques en présence de retard. Le point de vue qui nous intéressera est celui… (more)

Subjects/Keywords: Résolvante; Équation différentielle fonctionnelle linéarisée; Contrôle optimal; Principe de Pontryagin; Équation différentielle fonctionnelle; Calcul des variations; Condition d'Euler-Lagrange; Théorème de représentation de Riesz; Resolvent; Linear delay functional differential equation; Optimal control; Pontryagin principle; Functional differential equation; Calculus of variation; Euler-Lagrange condition; Riesz representation theorem; 515

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

APA (6^th Edition):

Koné, M. I. (2016). Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space. (Doctoral Dissertation). Paris 1. Retrieved from http://www.theses.fr/2016PA01E063

Chicago Manual of Style (16^th Edition):

Koné, Mamadou Ibrahima. “Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space.” 2016. Doctoral Dissertation, Paris 1. Accessed January 20, 2021. http://www.theses.fr/2016PA01E063.

MLA Handbook (7^th Edition):

Koné, Mamadou Ibrahima. “Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space.” 2016. Web. 20 Jan 2021.

Vancouver:

Koné MI. Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space. [Internet] [Doctoral dissertation]. Paris 1; 2016. [cited 2021 Jan 20]. Available from: http://www.theses.fr/2016PA01E063.

Council of Science Editors:

Koné MI. Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space. [Doctoral Dissertation]. Paris 1; 2016. Available from: http://www.theses.fr/2016PA01E063

University of Maryland

22. Wang, Shanshan. Exploring and Modeling Online Auctions Using Functional Data Analysis.

Degree: Mathematics, 2007, University of Maryland

URL: http://hdl.handle.net/1903/6962

► In recent years, the increasing popularity of eCommerce, and particularly online auctions has stirred a great amount of scholarly research, especially in information systems, economics,… (more)

▼ In recent years, the increasing popularity of eCommerce, and particularly online auctions has stirred a great amount of scholarly research, especially in information systems, economics, and marketing, but little or no attention has been received from statistics. ECommerce arrives with enormous amounts of rich and clean data as well as statistical challenges. eCommerce not only creates new data challenges, it also motivates the need for innovative models. While there exist many theories about economic behavior of participants in market exchanges, many of these theories have been developed before the appearance of the world wide web and often are not appropriate to be used in explaining modern economic behavior in eCommerce. This calls for new models that describe not only the evolution of a process, but also its dynamics. This research takes a different look at online auctions and proposes to study an auction's price evolution and associated price dynamics from different points of view using functional data analysis techniques. In this dissertation, we develop novel dynamic modeling procedures applicable to online auctions. First, we develop a dynamic forecasting system to predict the price of an ongoing auction. By dynamic we mean that the model can predict the price of an auction ``in-progress" and can update its prediction based on newly arriving information. Our dynamic forecasting model accounts for the special features of online auction data by using modern functional data analysis techniques. We also use the functional context to systematically describe the empirical regularities of auction dynamics. Second, we propose a family of differential equation models to capture the dynamics in online auctions. A novel multiple comparisons test is proposed to compare dynamics models of auction sub-populations. We accomplish the modeling task within the framework of principal differential analysis and functional models. Third, we propose Model-based Functional Differential Equation Trees to better incorporate the different characteristics of the auction, item, bidders and seller into the differential equation. We compare this new tree-method with trees either based on high-dimensional multivariate responses or functional responses. We apply our methods to a novel set of Harry Potter and Microsoft Xbox data for model validation and comparison of method. Advisors/Committee Members: Jank, Wolfgang (advisor), Smith, Paul J. (advisor).

Subjects/Keywords: Statistics; Information Science; Statistics; Functional Data Analysis; Online Auctions; Dynamic Forecasting; Differential Equation Models; Multiple Comparison Test; Functional Differential Equation Tree

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

APA (6^th Edition):

Wang, S. (2007). Exploring and Modeling Online Auctions Using Functional Data Analysis. (Thesis). University of Maryland. Retrieved from http://hdl.handle.net/1903/6962

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):

Wang, Shanshan. “Exploring and Modeling Online Auctions Using Functional Data Analysis.” 2007. Thesis, University of Maryland. Accessed January 20, 2021. http://hdl.handle.net/1903/6962.

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

MLA Handbook (7^th Edition):

Wang, Shanshan. “Exploring and Modeling Online Auctions Using Functional Data Analysis.” 2007. Web. 20 Jan 2021.

Vancouver:

Wang S. Exploring and Modeling Online Auctions Using Functional Data Analysis. [Internet] [Thesis]. University of Maryland; 2007. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/1903/6962.

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

Council of Science Editors:

Wang S. Exploring and Modeling Online Auctions Using Functional Data Analysis. [Thesis]. University of Maryland; 2007. Available from: http://hdl.handle.net/1903/6962

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

23. Le cavil, Anthony. Représentation probabiliste de type progressif d'EDP nonlinéaires nonconservatives et algorithmes particulaires. : Forward probabilistic representation of nonlinear nonconservative PDEs and related particles algorithms.

Degree: Docteur es, Mathématiques appliquées, 2016, Université Paris-Saclay (ComUE)

URL: http://www.theses.fr/2016SACLY023

►

Dans cette thèse, nous proposons une approche progressive (forward) pour la représentation probabiliste d'Equations aux Dérivées Partielles (EDP) nonlinéaires et nonconservatives, permettant ainsi de développer… (more)

▼

Dans cette thèse, nous proposons une approche progressive (forward) pour la représentation probabiliste d'Equations aux Dérivées Partielles (EDP) nonlinéaires et nonconservatives, permettant ainsi de développer un algorithme particulaire afin d'en estimer numériquement les solutions. Les Equations Différentielles Stochastiques Nonlinéaires de type McKean (NLSDE) étudiées dans la littérature constituent une formulation microscopique d'un phénomène modélisé macroscopiquement par une EDP conservative. Une solution d'une telle NLSDE est la donnée d'un couple (Y,u) où Y est une solution d' équation différentielle stochastique (EDS) dont les coefficients dépendent de u et de t telle que u(t,.) est la densité de Yt. La principale contribution de cette thèse est de considérer des EDP nonconservatives, c'est-à- dire des EDP conservatives perturbées par un terme nonlinéaire de la forme Lambda(u,nabla u)u. Ceci implique qu'un couple (Y,u) sera solution de la représentation probabiliste associée si Y est un encore un processus stochastique et la relation entre Y et la fonction u sera alors plus complexe. Etant donnée la loi de Y, l'existence et l'unicité de u sont démontrées par un argument de type point fixe via une formulation originale de type Feynmann-Kac.

This thesis performs forward probabilistic representations of nonlinear and nonconservative Partial Differential Equations (PDEs), which allowto numerically estimate the corresponding solutions via an interacting particle system algorithm, mixing Monte-Carlo methods and non-parametric density estimates.In the literature, McKean typeNonlinear Stochastic Differential Equations (NLSDEs) constitute the microscopic modelof a class of PDEs which are conservative. The solution of a NLSDEis generally a couple (Y,u) where Y is a stochastic process solving a stochastic differential equation whose coefficients depend on u and at each time t, u(t,.) is the law density of the random variable Yt.The main idea of this thesis is to consider this time a non-conservative PDE which is the result of a conservative PDE perturbed by a term of the type Lambda(u, nabla u) u. In this case, the solution of the corresponding NLSDE is again a couple (Y,u), where again Y is a stochastic processbut where the link between the function u and Y is more complicated and once fixed the law of Y, u is determined by a fixed pointargument via an innovating Feynmann-Kac type formula.

Advisors/Committee Members: Russo, Francesco (thesis director).

Subjects/Keywords: Equations aux Dérivées Partielles Nonlinéaires; Equations Différentielles Stochastiques de type McKean; Représentation probabiliste; Systèmes Particulaires; Propagation du Chaos; Fonctionnelle nonlinéaire de type Feynman-Kac; Nonlinear Partial Differential Equations; McKean type Stochastic Differential Equations; Probabilistic representation; Particles Systems; Chaos propagation; Nonlinear Feynman-Kac type functional; 519.2

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

APA (6^th Edition):

Le cavil, A. (2016). Représentation probabiliste de type progressif d'EDP nonlinéaires nonconservatives et algorithmes particulaires. : Forward probabilistic representation of nonlinear nonconservative PDEs and related particles algorithms. (Doctoral Dissertation). Université Paris-Saclay (ComUE). Retrieved from http://www.theses.fr/2016SACLY023

Chicago Manual of Style (16^th Edition):

Le cavil, Anthony. “Représentation probabiliste de type progressif d'EDP nonlinéaires nonconservatives et algorithmes particulaires. : Forward probabilistic representation of nonlinear nonconservative PDEs and related particles algorithms.” 2016. Doctoral Dissertation, Université Paris-Saclay (ComUE). Accessed January 20, 2021. http://www.theses.fr/2016SACLY023.

MLA Handbook (7^th Edition):

Le cavil, Anthony. “Représentation probabiliste de type progressif d'EDP nonlinéaires nonconservatives et algorithmes particulaires. : Forward probabilistic representation of nonlinear nonconservative PDEs and related particles algorithms.” 2016. Web. 20 Jan 2021.

Vancouver:

Le cavil A. Représentation probabiliste de type progressif d'EDP nonlinéaires nonconservatives et algorithmes particulaires. : Forward probabilistic representation of nonlinear nonconservative PDEs and related particles algorithms. [Internet] [Doctoral dissertation]. Université Paris-Saclay (ComUE); 2016. [cited 2021 Jan 20]. Available from: http://www.theses.fr/2016SACLY023.

Council of Science Editors:

Le cavil A. Représentation probabiliste de type progressif d'EDP nonlinéaires nonconservatives et algorithmes particulaires. : Forward probabilistic representation of nonlinear nonconservative PDEs and related particles algorithms. [Doctoral Dissertation]. Université Paris-Saclay (ComUE); 2016. Available from: http://www.theses.fr/2016SACLY023

Delft University of Technology

24. Van Leeuwen, J.P.H. (author). A nonlinear Schrödinger equation in L² with multiplicative white noise.

Degree: 2011, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:33bc6c32-bf78-4a99-82a4-f315b21781be

In this thesis existence and uniqueness of the solution of a nonlinear Schrödinger equation in L² with multiplicative white noise is proven under some assumptions. Furthermore, pathwise L²-norm conservation of the solution is studied.

Analysis

Applied mathematics

Electrical Engineering, Mathematics and Computer Science

Advisors/Committee Members: Veraar, M.C. (mentor).

Subjects/Keywords: stochastic partial differential equation; nonlinear Schrödinger equation

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

APA (6^th Edition):

Van Leeuwen, J. P. H. (. (2011). A nonlinear Schrödinger equation in L² with multiplicative white noise. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:33bc6c32-bf78-4a99-82a4-f315b21781be

Chicago Manual of Style (16^th Edition):

Van Leeuwen, J P H (author). “A nonlinear Schrödinger equation in L² with multiplicative white noise.” 2011. Masters Thesis, Delft University of Technology. Accessed January 20, 2021. http://resolver.tudelft.nl/uuid:33bc6c32-bf78-4a99-82a4-f315b21781be.

MLA Handbook (7^th Edition):

Van Leeuwen, J P H (author). “A nonlinear Schrödinger equation in L² with multiplicative white noise.” 2011. Web. 20 Jan 2021.

Vancouver:

Van Leeuwen JPH(. A nonlinear Schrödinger equation in L² with multiplicative white noise. [Internet] [Masters thesis]. Delft University of Technology; 2011. [cited 2021 Jan 20]. Available from: http://resolver.tudelft.nl/uuid:33bc6c32-bf78-4a99-82a4-f315b21781be.

Council of Science Editors:

Van Leeuwen JPH(. A nonlinear Schrödinger equation in L² with multiplicative white noise. [Masters Thesis]. Delft University of Technology; 2011. Available from: http://resolver.tudelft.nl/uuid:33bc6c32-bf78-4a99-82a4-f315b21781be

University of Notre Dame

25. Melissa Davidson. Continuity Properties of the Solution Map for the Generalized Reduced Ostrovsky Equation</h1>.

Degree: Mathematics, 2013, University of Notre Dame

URL: https://curate.nd.edu/show/9p29086334c

► It is shown that the data-to-solution map for the generalized reduced Ostrovsky (gRO) equation is not uniformly continuous on bounded sets in Sobolev spaces… (more)

Subjects/Keywords: soliton; wave equation; partial differential equation

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APA (6^th Edition):

Davidson, M. (2013). Continuity Properties of the Solution Map for the Generalized Reduced Ostrovsky Equation</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/9p29086334c

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):

Davidson, Melissa. “Continuity Properties of the Solution Map for the Generalized Reduced Ostrovsky Equation</h1>.” 2013. Thesis, University of Notre Dame. Accessed January 20, 2021. https://curate.nd.edu/show/9p29086334c.

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

MLA Handbook (7^th Edition):

Davidson, Melissa. “Continuity Properties of the Solution Map for the Generalized Reduced Ostrovsky Equation</h1>.” 2013. Web. 20 Jan 2021.

Vancouver:

Davidson M. Continuity Properties of the Solution Map for the Generalized Reduced Ostrovsky Equation</h1>. [Internet] [Thesis]. University of Notre Dame; 2013. [cited 2021 Jan 20]. Available from: https://curate.nd.edu/show/9p29086334c.

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

Council of Science Editors:

Davidson M. Continuity Properties of the Solution Map for the Generalized Reduced Ostrovsky Equation</h1>. [Thesis]. University of Notre Dame; 2013. Available from: https://curate.nd.edu/show/9p29086334c

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

Queens University

26. Rozins, Carly. An impulsive differential equation model for Marek's disease .

Degree: Mathematics and Statistics, 2016, Queens University

URL: http://hdl.handle.net/1974/14944

► Many dynamical processes are subject to abrupt changes in state. Often these perturbations can be periodic and of short duration relative to the evolving process.… (more)

Subjects/Keywords: poultry ; SIR ; model ; differential equation

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APA (6^th Edition):

Rozins, C. (2016). An impulsive differential equation model for Marek's disease . (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/14944

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):

Rozins, Carly. “An impulsive differential equation model for Marek's disease .” 2016. Thesis, Queens University. Accessed January 20, 2021. http://hdl.handle.net/1974/14944.

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

MLA Handbook (7^th Edition):

Rozins, Carly. “An impulsive differential equation model for Marek's disease .” 2016. Web. 20 Jan 2021.

Vancouver:

Rozins C. An impulsive differential equation model for Marek's disease . [Internet] [Thesis]. Queens University; 2016. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/1974/14944.

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

Council of Science Editors:

Rozins C. An impulsive differential equation model for Marek's disease . [Thesis]. Queens University; 2016. Available from: http://hdl.handle.net/1974/14944

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

Kwame Nkrumah University of Science and Technology

27. Allotey, Jacobs Bernard. Modelling an Equation for Detecting Diabetes.

Degree: 2012, Kwame Nkrumah University of Science and Technology

URL: http://dspace.knust.edu.gh:8080/jspui/handle/123456789/4523

►

Diabetes is a syndrome of disordered metabolism, usually due to a combination of hereditary and environmental causes, resulting in abnormally high blood sugar levels. Various… (more)

Subjects/Keywords: Differential equation; Diabetes; Glucose; Insulin

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APA (6^th Edition):

Allotey, J. B. (2012). Modelling an Equation for Detecting Diabetes. (Thesis). Kwame Nkrumah University of Science and Technology. Retrieved from http://dspace.knust.edu.gh:8080/jspui/handle/123456789/4523

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):

Allotey, Jacobs Bernard. “Modelling an Equation for Detecting Diabetes.” 2012. Thesis, Kwame Nkrumah University of Science and Technology. Accessed January 20, 2021. http://dspace.knust.edu.gh:8080/jspui/handle/123456789/4523.

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

MLA Handbook (7^th Edition):

Allotey, Jacobs Bernard. “Modelling an Equation for Detecting Diabetes.” 2012. Web. 20 Jan 2021.

Vancouver:

Allotey JB. Modelling an Equation for Detecting Diabetes. [Internet] [Thesis]. Kwame Nkrumah University of Science and Technology; 2012. [cited 2021 Jan 20]. Available from: http://dspace.knust.edu.gh:8080/jspui/handle/123456789/4523.

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

Council of Science Editors:

Allotey JB. Modelling an Equation for Detecting Diabetes. [Thesis]. Kwame Nkrumah University of Science and Technology; 2012. Available from: http://dspace.knust.edu.gh:8080/jspui/handle/123456789/4523

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

28. Malique, Md Abdul. Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling.

Degree: PhD, 2012, University of Chester

URL: http://hdl.handle.net/10034/311000

► The pervading theme of this thesis is the development of insights that contribute to the understanding of whether certain classes of functional differential equation have… (more)

Subjects/Keywords: 515; functional differential equations

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

APA (6^th Edition):

Malique, M. A. (2012). Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling. (Doctoral Dissertation). University of Chester. Retrieved from http://hdl.handle.net/10034/311000

Chicago Manual of Style (16^th Edition):

Malique, Md Abdul. “Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling.” 2012. Doctoral Dissertation, University of Chester. Accessed January 20, 2021. http://hdl.handle.net/10034/311000.

MLA Handbook (7^th Edition):

Malique, Md Abdul. “Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling.” 2012. Web. 20 Jan 2021.

Vancouver:

Malique MA. Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling. [Internet] [Doctoral dissertation]. University of Chester; 2012. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/10034/311000.

Council of Science Editors:

Malique MA. Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling. [Doctoral Dissertation]. University of Chester; 2012. Available from: http://hdl.handle.net/10034/311000

29. Malique, Md Abdul. Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling.

Degree: PhD, 2012, University of Chester

URL: https://doi.org/10.17638/03062915 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.585351

► The pervading theme of this thesis is the development of insights that contribute to the understanding of whether certain classes of functional differential equation have… (more)

Subjects/Keywords: 515; functional differential equations

Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Malique, M. A. (2012). Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling. (Doctoral Dissertation). University of Chester. Retrieved from https://doi.org/10.17638/03062915 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.585351

Chicago Manual of Style (16^th Edition):

Malique, Md Abdul. “Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling.” 2012. Doctoral Dissertation, University of Chester. Accessed January 20, 2021. https://doi.org/10.17638/03062915 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.585351.

MLA Handbook (7^th Edition):

Malique, Md Abdul. “Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling.” 2012. Web. 20 Jan 2021.

Vancouver:

Malique MA. Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling. [Internet] [Doctoral dissertation]. University of Chester; 2012. [cited 2021 Jan 20]. Available from: https://doi.org/10.17638/03062915 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.585351.

Council of Science Editors:

Malique MA. Numerical treatment of oscillatory delay and mixed functional differential equations arising in modelling. [Doctoral Dissertation]. University of Chester; 2012. Available from: https://doi.org/10.17638/03062915 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.585351

University of Waterloo

30. Tang, Herbert Hoi Chi. The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model.

Degree: 2015, University of Waterloo

URL: http://hdl.handle.net/10012/10023

► Cancer is a ubiquitous disease that afflicts millions of people worldwide and we will undoubtedly encounter it at some point in our lives, whether it… (more)

▼ Cancer is a ubiquitous disease that afflicts millions of people worldwide and we will undoubtedly encounter it at some point in our lives, whether it be random strangers on the news, or someone much closer. As such, research into cancer (and cures for cancer) has been an intense area of focus. Malignant tumours show three main characteristics: 1) aggressive and uncontrolled growth, 2) invasion into surrounding tissue, and 3) the ability to leave the primary tumour site and invade another organ (metastasis). Mathematical models of these three aspects began in earnest about half a century ago, for example with Laird in 1964 proposing that tumour growth was gompertzian. With the advent of the modern computer, complex partial differential equation (PDE) models of tumour growth which incorporate the other two features of malignant tumours have become accessible to the average researcher. Utilizing a mixture of both analytical and numerical methods, this thesis aims to add to the schema of cancer research by examining the effects of noise on a well established model of tumour growth, and a promising model for mitosis that we hope to eventually adapt to describe metastasis. The tumour model that we will examine is a single species reaction-diffusion model that captures the first two aspects of tumour growth. The reaction part determines how fast the tumour grows and the diffusion part describes how quickly the cancer cells spread within the domain. Adding noise to the model is a method of describing the disorder that is in a typical tumour, and allows us to determine error bounds on the tumour size and survival time, which gives us a sense of how accurate the estimates of those two quantities are. This method of estimating the uncertainty in survival time also allows us to further determine how modifications to the model (such as changing the diffusivity or adding chemotherapy) affects the error in the system. Our model of mitosis is an excitable system that admits a traveling wave as a possible solution. Mitosis is a process that occurs in a very spatially specific manner within the embryo and this model describes how a signal propagates from the centre of the embryo outwards. When we allow noise to perturb the system we will see that the model allows noise induced traveling waves in what would normally be a stable system in a deterministic setting. This means that the parameter range under which signalling can occur is relaxed and traveling waves occur more readily than expected. In terms of metastasis, where the tumour microenvironment is especially noisy and chaotic, that might explain why metastasis is so prevalent in malignant tumours. Adding noise to well established PDE models gives it an extra layer of fidelity that allows us to extract additional information from the model not available in the traditional deterministic setting. Using both a numerical and an analytical approach, this thesis develops and demonstrates general methods for estimating the uncertainty in the model outputs and also…

Subjects/Keywords: Stochastic Differential Equation; Partial Differential Equation; Stochastic Processes; Master Equation; Mathematical Biology

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APA (6^th Edition):

Tang, H. H. C. (2015). The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/10023

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):

Tang, Herbert Hoi Chi. “The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model.” 2015. Thesis, University of Waterloo. Accessed January 20, 2021. http://hdl.handle.net/10012/10023.

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

MLA Handbook (7^th Edition):

Tang, Herbert Hoi Chi. “The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model.” 2015. Web. 20 Jan 2021.

Vancouver:

Tang HHC. The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model. [Internet] [Thesis]. University of Waterloo; 2015. [cited 2021 Jan 20]. Available from: http://hdl.handle.net/10012/10023.

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

Council of Science Editors:

Tang HHC. The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model. [Thesis]. University of Waterloo; 2015. Available from: http://hdl.handle.net/10012/10023

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