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Virginia Tech

1. Xie, Xuping. Approximate Deconvolution Reduced Order Modeling.

Degree: MS, Mathematics, 2015, Virginia Tech

URL: http://hdl.handle.net/10919/78043

► This thesis proposes a large eddy simulation reduced order model (LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper…
(more)

Subjects/Keywords: approximate deconvolution; large eddy simulation; reduced order modeling; inverse problems; regularization

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

APA (6^{th} Edition):

Xie, X. (2015). Approximate Deconvolution Reduced Order Modeling. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/78043

Chicago Manual of Style (16^{th} Edition):

Xie, Xuping. “Approximate Deconvolution Reduced Order Modeling.” 2015. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/78043.

MLA Handbook (7^{th} Edition):

Xie, Xuping. “Approximate Deconvolution Reduced Order Modeling.” 2015. Web. 13 Apr 2021.

Vancouver:

Xie X. Approximate Deconvolution Reduced Order Modeling. [Internet] [Masters thesis]. Virginia Tech; 2015. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/78043.

Council of Science Editors:

Xie X. Approximate Deconvolution Reduced Order Modeling. [Masters Thesis]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/78043

Virginia Tech

2. Wells, David Reese. A Two-Level Method For The Steady-State Quasigeostrophic Equation.

Degree: MS, Mathematics, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/23090

► The quasi-geostrophic equations (QGE) are a model of large-scale ocean flows. We consider a pure stream function formulation and cite results for optimal error estimates…
(more)

Subjects/Keywords: Quasi-geostrophic equations; Finite Element Method; Argyris Element; Two-Level Method

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APA (6^{th} Edition):

Wells, D. R. (2013). A Two-Level Method For The Steady-State Quasigeostrophic Equation. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/23090

Chicago Manual of Style (16^{th} Edition):

Wells, David Reese. “A Two-Level Method For The Steady-State Quasigeostrophic Equation.” 2013. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/23090.

MLA Handbook (7^{th} Edition):

Wells, David Reese. “A Two-Level Method For The Steady-State Quasigeostrophic Equation.” 2013. Web. 13 Apr 2021.

Vancouver:

Wells DR. A Two-Level Method For The Steady-State Quasigeostrophic Equation. [Internet] [Masters thesis]. Virginia Tech; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/23090.

Council of Science Editors:

Wells DR. A Two-Level Method For The Steady-State Quasigeostrophic Equation. [Masters Thesis]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/23090

Virginia Tech

3. Koc, Birgul. Commutation Error in Reduced Order Modeling.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/87537

► We propose reduced order models (ROMs) for an efficient and relatively accurate numerical simulation of nonlinear systems. We use the ROM projection and the ROM…
(more)

Subjects/Keywords: Reduced Order Modeling; Data-Driven Modeling; Filtering; Closure Modeling; Commutation Error

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APA (6^{th} Edition):

Koc, B. (2018). Commutation Error in Reduced Order Modeling. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/87537

Chicago Manual of Style (16^{th} Edition):

Koc, Birgul. “Commutation Error in Reduced Order Modeling.” 2018. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/87537.

MLA Handbook (7^{th} Edition):

Koc, Birgul. “Commutation Error in Reduced Order Modeling.” 2018. Web. 13 Apr 2021.

Vancouver:

Koc B. Commutation Error in Reduced Order Modeling. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/87537.

Council of Science Editors:

Koc B. Commutation Error in Reduced Order Modeling. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/87537

4. Mou, Changhong. Cross-Validation of Data-Driven Correction Reduced Order Modeling.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/87610

► Practical engineering and scientific problems often require the repeated simulation of unsteady fluid flows. In these applications, the computational cost of high-fidelity full-order models can…
(more)

Subjects/Keywords: Reduced Order Modeling; Scientific Computing; Data-Driven Modeling; Optimization

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APA (6^{th} Edition):

Mou, C. (2018). Cross-Validation of Data-Driven Correction Reduced Order Modeling. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/87610

Chicago Manual of Style (16^{th} Edition):

Mou, Changhong. “Cross-Validation of Data-Driven Correction Reduced Order Modeling.” 2018. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/87610.

MLA Handbook (7^{th} Edition):

Mou, Changhong. “Cross-Validation of Data-Driven Correction Reduced Order Modeling.” 2018. Web. 13 Apr 2021.

Vancouver:

Mou C. Cross-Validation of Data-Driven Correction Reduced Order Modeling. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/87610.

Council of Science Editors:

Mou C. Cross-Validation of Data-Driven Correction Reduced Order Modeling. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/87610

5. Norton, Trevor Michael. Galerkin Approximations of General Delay Differential Equations with Multiple Discrete or Distributed Delays.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83825

► Delay differential equations (DDEs) are often used to model systems with time-delayed effects, and they have found applications in fields such as climate dynamics, biosciences,…
(more)

Subjects/Keywords: Delay Differential Equations; Galerkin Approximations

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APA (6^{th} Edition):

Norton, T. M. (2018). Galerkin Approximations of General Delay Differential Equations with Multiple Discrete or Distributed Delays. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83825

Chicago Manual of Style (16^{th} Edition):

Norton, Trevor Michael. “Galerkin Approximations of General Delay Differential Equations with Multiple Discrete or Distributed Delays.” 2018. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/83825.

MLA Handbook (7^{th} Edition):

Norton, Trevor Michael. “Galerkin Approximations of General Delay Differential Equations with Multiple Discrete or Distributed Delays.” 2018. Web. 13 Apr 2021.

Vancouver:

Norton TM. Galerkin Approximations of General Delay Differential Equations with Multiple Discrete or Distributed Delays. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/83825.

Council of Science Editors:

Norton TM. Galerkin Approximations of General Delay Differential Equations with Multiple Discrete or Distributed Delays. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83825

6. Letona Bolivar, Cristina Felicitas. On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types.

Degree: PhD, Mathematics, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/73308

► The methods for solving domain optimization problems depends on the case of study. There are methods that have been developed for the discretized problem, but…
(more)

Subjects/Keywords: Domain Optimization; Shape Derivatives; PDE Constraints; Mixed Boundary Conditions.

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APA (6^{th} Edition):

Letona Bolivar, C. F. (2016). On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/73308

Chicago Manual of Style (16^{th} Edition):

Letona Bolivar, Cristina Felicitas. “On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types.” 2016. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/73308.

MLA Handbook (7^{th} Edition):

Letona Bolivar, Cristina Felicitas. “On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types.” 2016. Web. 13 Apr 2021.

Vancouver:

Letona Bolivar CF. On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types. [Internet] [Doctoral dissertation]. Virginia Tech; 2016. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/73308.

Council of Science Editors:

Letona Bolivar CF. On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types. [Doctoral Dissertation]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/73308

Virginia Tech

7. Xie, Xuping. Large Eddy Simulation Reduced Order Models.

Degree: PhD, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/77626

► This dissertation uses spatial filtering to develop a large eddy simulation reduced order model (LES-ROM) framework for fluid flows. Proper orthogonal decomposition is utilized to…
(more)

Subjects/Keywords: Reduced Order Modeling; Large Eddy Simulation; Approximate Deconvolution; Data-Driven Modeling; Stochastic Reduced Order Model; Spatial Filtering; Finite Element; Numerical Analysis

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

APA (6^{th} Edition):

Xie, X. (2017). Large Eddy Simulation Reduced Order Models. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77626

Chicago Manual of Style (16^{th} Edition):

Xie, Xuping. “Large Eddy Simulation Reduced Order Models.” 2017. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/77626.

MLA Handbook (7^{th} Edition):

Xie, Xuping. “Large Eddy Simulation Reduced Order Models.” 2017. Web. 13 Apr 2021.

Vancouver:

Xie X. Large Eddy Simulation Reduced Order Models. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/77626.

Council of Science Editors:

Xie X. Large Eddy Simulation Reduced Order Models. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77626

Virginia Tech

8. Basu, Saikat. Dynamics of vortices in complex wakes: modeling, analysis, and experiments.

Degree: PhD, Engineering Mechanics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/51749

► The thesis develops singly-periodic mathematical models for complex laminar wakes which are formed behind vortex-shedding bluff bodies. These wake structures exhibit a variety of patterns…
(more)

Subjects/Keywords: Vortex dynamics; Point vortices; Bluff body wake; Fluid-structure interactions; Vortex-induced vibrations

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APA (6^{th} Edition):

Basu, S. (2014). Dynamics of vortices in complex wakes: modeling, analysis, and experiments. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/51749

Chicago Manual of Style (16^{th} Edition):

Basu, Saikat. “Dynamics of vortices in complex wakes: modeling, analysis, and experiments.” 2014. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/51749.

MLA Handbook (7^{th} Edition):

Basu, Saikat. “Dynamics of vortices in complex wakes: modeling, analysis, and experiments.” 2014. Web. 13 Apr 2021.

Vancouver:

Basu S. Dynamics of vortices in complex wakes: modeling, analysis, and experiments. [Internet] [Doctoral dissertation]. Virginia Tech; 2014. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/51749.

Council of Science Editors:

Basu S. Dynamics of vortices in complex wakes: modeling, analysis, and experiments. [Doctoral Dissertation]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/51749

Virginia Tech

9. Bozorg Magham, Amir Ebrahim. Atmospheric Lagrangian transport structures and their applications to aerobiology.

Degree: PhD, Engineering Mechanics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/56482

► Exploring the concepts of long range aerial transport of microorganisms is the main motivation of this study. For this purpose we use theories and concepts…
(more)

Subjects/Keywords: Finite-time Lyapunov exponent (FTLE); Lagrangian coherent structure (LCS); chaotic atmospheric transport; unresolved turbulence; stochastic FTLE field; ensemble forecasting; uncertainty analysis; local FTLE time-series; maximal diversity monitoring

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

APA (6^{th} Edition):

Bozorg Magham, A. E. (2014). Atmospheric Lagrangian transport structures and their applications to aerobiology. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/56482

Chicago Manual of Style (16^{th} Edition):

Bozorg Magham, Amir Ebrahim. “Atmospheric Lagrangian transport structures and their applications to aerobiology.” 2014. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/56482.

MLA Handbook (7^{th} Edition):

Bozorg Magham, Amir Ebrahim. “Atmospheric Lagrangian transport structures and their applications to aerobiology.” 2014. Web. 13 Apr 2021.

Vancouver:

Bozorg Magham AE. Atmospheric Lagrangian transport structures and their applications to aerobiology. [Internet] [Doctoral dissertation]. Virginia Tech; 2014. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/56482.

Council of Science Editors:

Bozorg Magham AE. Atmospheric Lagrangian transport structures and their applications to aerobiology. [Doctoral Dissertation]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/56482

Virginia Tech

10. Nolan, Peter Joseph. Experimental and Theoretical Developments in the Application of Lagrangian Coherent Structures to Geophysical Transport.

Degree: PhD, Engineering Mechanics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/88986

► How particles are moved by fluid flows, such as the oceanic currents and the atmospheric winds, is a problem with important implications for fields as…
(more)

Subjects/Keywords: Lagrangian coherent structures; geophysical fluid mechanics; dynamical systems

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

APA (6^{th} Edition):

Nolan, P. J. (2019). Experimental and Theoretical Developments in the Application of Lagrangian Coherent Structures to Geophysical Transport. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/88986

Chicago Manual of Style (16^{th} Edition):

Nolan, Peter Joseph. “Experimental and Theoretical Developments in the Application of Lagrangian Coherent Structures to Geophysical Transport.” 2019. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/88986.

MLA Handbook (7^{th} Edition):

Nolan, Peter Joseph. “Experimental and Theoretical Developments in the Application of Lagrangian Coherent Structures to Geophysical Transport.” 2019. Web. 13 Apr 2021.

Vancouver:

Nolan PJ. Experimental and Theoretical Developments in the Application of Lagrangian Coherent Structures to Geophysical Transport. [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/88986.

Council of Science Editors:

Nolan PJ. Experimental and Theoretical Developments in the Application of Lagrangian Coherent Structures to Geophysical Transport. [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/88986

Virginia Tech

11. Jin, Hanxiang. Surface Patterning and Rotordynamic Response of Annular Pressure Seals Used in Turbomachinery.

Degree: PhD, Engineering Mechanics, 2020, Virginia Tech

URL: http://hdl.handle.net/10919/96731

► This dissertation focused on understanding the correlations between surface patterning and rotordynamic responses in the annular pressure seals. The annular pressure seals are a specific…
(more)

Subjects/Keywords: Fluid Dynamics; Annular Pressure Seals; Rotordynamics; Labyrinth Seals; Hole-pattern Seals; Reduced Order Modeling

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APA (6^{th} Edition):

Jin, H. (2020). Surface Patterning and Rotordynamic Response of Annular Pressure Seals Used in Turbomachinery. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/96731

Chicago Manual of Style (16^{th} Edition):

Jin, Hanxiang. “Surface Patterning and Rotordynamic Response of Annular Pressure Seals Used in Turbomachinery.” 2020. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/96731.

MLA Handbook (7^{th} Edition):

Jin, Hanxiang. “Surface Patterning and Rotordynamic Response of Annular Pressure Seals Used in Turbomachinery.” 2020. Web. 13 Apr 2021.

Vancouver:

Jin H. Surface Patterning and Rotordynamic Response of Annular Pressure Seals Used in Turbomachinery. [Internet] [Doctoral dissertation]. Virginia Tech; 2020. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/96731.

Council of Science Editors:

Jin H. Surface Patterning and Rotordynamic Response of Annular Pressure Seals Used in Turbomachinery. [Doctoral Dissertation]. Virginia Tech; 2020. Available from: http://hdl.handle.net/10919/96731

Virginia Tech

12. Cioaca, Alexandru George. A Computational Framework for Assessing and Optimizing the Performance of Observational Networks in 4D-Var Data Assimilation.

Degree: PhD, Computer Science and Applications, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/51795

► A deep scientific understanding of complex physical systems, such as the atmosphere, can be achieved neither by direct measurements nor by numerical simulations alone. Data…
(more)

Subjects/Keywords: data assimilation; dynamic data-driven problem; second-order adjoints; adaptive observations; sensor placement; intelligent sensors; sensitivity analysis; uncertainty quantification; nonlinear optimization; inverse problems; parameter estimation; matrix-free linear solvers; truncated singular value decomposition

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

APA (6^{th} Edition):

Cioaca, A. G. (2013). A Computational Framework for Assessing and Optimizing the Performance of Observational Networks in 4D-Var Data Assimilation. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/51795

Chicago Manual of Style (16^{th} Edition):

Cioaca, Alexandru George. “A Computational Framework for Assessing and Optimizing the Performance of Observational Networks in 4D-Var Data Assimilation.” 2013. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/51795.

MLA Handbook (7^{th} Edition):

Cioaca, Alexandru George. “A Computational Framework for Assessing and Optimizing the Performance of Observational Networks in 4D-Var Data Assimilation.” 2013. Web. 13 Apr 2021.

Vancouver:

Cioaca AG. A Computational Framework for Assessing and Optimizing the Performance of Observational Networks in 4D-Var Data Assimilation. [Internet] [Doctoral dissertation]. Virginia Tech; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/51795.

Council of Science Editors:

Cioaca AG. A Computational Framework for Assessing and Optimizing the Performance of Observational Networks in 4D-Var Data Assimilation. [Doctoral Dissertation]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/51795

Virginia Tech

13. Carracedo Rodriguez, Andrea. Approximation of Parametric Dynamical Systems.

Degree: PhD, Mathematics, 2020, Virginia Tech

URL: http://hdl.handle.net/10919/99895

► Simulation of mathematical models plays an important role in the development of science. There is a wide range of models and approaches that depend on…
(more)

Subjects/Keywords: Rational Approximation; Bilinear Model Reduction; Barycentric; Interpolation

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APA (6^{th} Edition):

Carracedo Rodriguez, A. (2020). Approximation of Parametric Dynamical Systems. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/99895

Chicago Manual of Style (16^{th} Edition):

Carracedo Rodriguez, Andrea. “Approximation of Parametric Dynamical Systems.” 2020. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/99895.

MLA Handbook (7^{th} Edition):

Carracedo Rodriguez, Andrea. “Approximation of Parametric Dynamical Systems.” 2020. Web. 13 Apr 2021.

Vancouver:

Carracedo Rodriguez A. Approximation of Parametric Dynamical Systems. [Internet] [Doctoral dissertation]. Virginia Tech; 2020. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/99895.

Council of Science Editors:

Carracedo Rodriguez A. Approximation of Parametric Dynamical Systems. [Doctoral Dissertation]. Virginia Tech; 2020. Available from: http://hdl.handle.net/10919/99895

Virginia Tech

14. Karimi, Alireza. Gaining New Insights into Spatiotemporal Chaos with Numerics.

Degree: PhD, Engineering Science and Mechanics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/77347

► An important phenomenon of systems driven far-from-equilibrium is spatiotemporal chaos where the dynamics are aperiodic in both time and space. We explored this numerically for…
(more)

Subjects/Keywords: Synchronization; Bioconvection; Spatiotemporal Chaos; Pattern Formation; Lyapunov Diagnostics

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

APA (6^{th} Edition):

Karimi, A. (2012). Gaining New Insights into Spatiotemporal Chaos with Numerics. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77347

Chicago Manual of Style (16^{th} Edition):

Karimi, Alireza. “Gaining New Insights into Spatiotemporal Chaos with Numerics.” 2012. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/77347.

MLA Handbook (7^{th} Edition):

Karimi, Alireza. “Gaining New Insights into Spatiotemporal Chaos with Numerics.” 2012. Web. 13 Apr 2021.

Vancouver:

Karimi A. Gaining New Insights into Spatiotemporal Chaos with Numerics. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/77347.

Council of Science Editors:

Karimi A. Gaining New Insights into Spatiotemporal Chaos with Numerics. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/77347

Virginia Tech

15. Yu, Haofeng. A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems.

Degree: PhD, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/29095

► This thesis represents a theoretical and numerical investigation of the canonical duality theory, which has been recently proposed as an alternative to the classic and…
(more)

Subjects/Keywords: Ericksenâ s Bar; Semi-linear Equations; Global Optimization; Canonical Duality Theory; Canonical Dual Finite Element Method; Landau-Ginzburg Problem.; Duality; Non-convex Variational Problems

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APA (6^{th} Edition):

Yu, H. (2011). A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29095

Chicago Manual of Style (16^{th} Edition):

Yu, Haofeng. “A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems.” 2011. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/29095.

MLA Handbook (7^{th} Edition):

Yu, Haofeng. “A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems.” 2011. Web. 13 Apr 2021.

Vancouver:

Yu H. A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems. [Internet] [Doctoral dissertation]. Virginia Tech; 2011. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/29095.

Council of Science Editors:

Yu H. A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems. [Doctoral Dissertation]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/29095

Virginia Tech

16. San, Omer. Multiscale Modeling and Simulation of Turbulent Geophysical Flows.

Degree: PhD, Engineering Science and Mechanics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/28031

► The accurate and efficient numerical simulation of geophysical flows is of great interest in numerical weather prediction and climate modeling as well as in numerous…
(more)

Subjects/Keywords: Geophysical Flows; Physical Oceanography; Multiscale Modeling; Multigrid; Large Eddy Simulation; Computational Fluid Dynamics

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

APA (6^{th} Edition):

San, O. (2012). Multiscale Modeling and Simulation of Turbulent Geophysical Flows. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28031

Chicago Manual of Style (16^{th} Edition):

San, Omer. “Multiscale Modeling and Simulation of Turbulent Geophysical Flows.” 2012. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/28031.

MLA Handbook (7^{th} Edition):

San, Omer. “Multiscale Modeling and Simulation of Turbulent Geophysical Flows.” 2012. Web. 13 Apr 2021.

Vancouver:

San O. Multiscale Modeling and Simulation of Turbulent Geophysical Flows. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/28031.

Council of Science Editors:

San O. Multiscale Modeling and Simulation of Turbulent Geophysical Flows. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/28031

Virginia Tech

17. Wang, Zhu. Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations.

Degree: PhD, Mathematics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/27504

► Reduced-order models are frequently used in the simulation of complex flows to overcome the high computational cost of direct numerical simulations, especially for three-dimensional nonlinear…
(more)

Subjects/Keywords: variational multiscale; dynamic subgrid-scale model; two-level algorithm; approximate deconvolution; finite elements; numerical analysis; Proper orthogonal decomposition; reduced-order modeling; large eddy simulation; eddy viscosity; turbulence

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

APA (6^{th} Edition):

Wang, Z. (2012). Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27504

Chicago Manual of Style (16^{th} Edition):

Wang, Zhu. “Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations.” 2012. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/27504.

MLA Handbook (7^{th} Edition):

Wang, Zhu. “Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations.” 2012. Web. 13 Apr 2021.

Vancouver:

Wang Z. Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/27504.

Council of Science Editors:

Wang Z. Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/27504

Virginia Tech

18. Bishnoi, Hemant. Behavioral EMI-Models of Switched Power Converters.

Degree: PhD, Electrical Engineering, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/23936

► Measurement-based behavioral electromagnetic interference (EMI) models have been shown earlier to accurately capture the EMI behavior of switched power converters. These models are compact, linear,…
(more)

Subjects/Keywords: conducted emissions; motor-drives; EMC; behavioral model; EMI filters

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APA (6^{th} Edition):

Bishnoi, H. (2013). Behavioral EMI-Models of Switched Power Converters. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/23936

Chicago Manual of Style (16^{th} Edition):

Bishnoi, Hemant. “Behavioral EMI-Models of Switched Power Converters.” 2013. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/23936.

MLA Handbook (7^{th} Edition):

Bishnoi, Hemant. “Behavioral EMI-Models of Switched Power Converters.” 2013. Web. 13 Apr 2021.

Vancouver:

Bishnoi H. Behavioral EMI-Models of Switched Power Converters. [Internet] [Doctoral dissertation]. Virginia Tech; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/23936.

Council of Science Editors:

Bishnoi H. Behavioral EMI-Models of Switched Power Converters. [Doctoral Dissertation]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/23936

Virginia Tech

19. Foster, Erich Leigh. Finite Elements for the Quasi-Geostrophic Equations of the Ocean.

Degree: PhD, Mathematics, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/19362

► The quasi-geostrophic equations (QGE) are usually discretized in space by the finite difference method. The finite element (FE) method, however, offers several advantages over the…
(more)

Subjects/Keywords: Quasi-geostrophic equations; finite element method; Argyris element; wind-driven ocean currents.

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APA (6^{th} Edition):

Foster, E. L. (2013). Finite Elements for the Quasi-Geostrophic Equations of the Ocean. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/19362

Chicago Manual of Style (16^{th} Edition):

Foster, Erich Leigh. “Finite Elements for the Quasi-Geostrophic Equations of the Ocean.” 2013. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/19362.

MLA Handbook (7^{th} Edition):

Foster, Erich Leigh. “Finite Elements for the Quasi-Geostrophic Equations of the Ocean.” 2013. Web. 13 Apr 2021.

Vancouver:

Foster EL. Finite Elements for the Quasi-Geostrophic Equations of the Ocean. [Internet] [Doctoral dissertation]. Virginia Tech; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/19362.

Council of Science Editors:

Foster EL. Finite Elements for the Quasi-Geostrophic Equations of the Ocean. [Doctoral Dissertation]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/19362

Virginia Tech

20. Wells, David Reese. Stabilization of POD-ROMs.

Degree: PhD, Mathematics, 2015, Virginia Tech

URL: http://hdl.handle.net/10919/52960

► This thesis describes several approaches for stabilizing POD-ROMs (that is, reduced order models based on basis functions derived from the proper orthogonal decomposition) for both…
(more)

Subjects/Keywords: Reduced Order Modeling; Proper Orthogonal Decomposition; Large Eddy Simulation; Regularized Models; Streamline-Upwind Petrov-Galerkin; Scientific Computing

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APA (6^{th} Edition):

Wells, D. R. (2015). Stabilization of POD-ROMs. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/52960

Chicago Manual of Style (16^{th} Edition):

Wells, David Reese. “Stabilization of POD-ROMs.” 2015. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/52960.

MLA Handbook (7^{th} Edition):

Wells, David Reese. “Stabilization of POD-ROMs.” 2015. Web. 13 Apr 2021.

Vancouver:

Wells DR. Stabilization of POD-ROMs. [Internet] [Doctoral dissertation]. Virginia Tech; 2015. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/52960.

Council of Science Editors:

Wells DR. Stabilization of POD-ROMs. [Doctoral Dissertation]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/52960

Virginia Tech

21. Zhang, Hong. Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations.

Degree: PhD, Computer Science and Applications, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/50492

► Many fields in science and engineering require large-scale numerical simulations of complex systems described by differential equations. These systems are typically multi-physics (they are driven…
(more)

Subjects/Keywords: Time Stepping; General Linear Methods; Implicit-explicit; Sensitivity Analysis

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

APA (6^{th} Edition):

Zhang, H. (2014). Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/50492

Chicago Manual of Style (16^{th} Edition):

Zhang, Hong. “Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations.” 2014. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/50492.

MLA Handbook (7^{th} Edition):

Zhang, Hong. “Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations.” 2014. Web. 13 Apr 2021.

Vancouver:

Zhang H. Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations. [Internet] [Doctoral dissertation]. Virginia Tech; 2014. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/50492.

Council of Science Editors:

Zhang H. Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations. [Doctoral Dissertation]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/50492

22. Nasr Azadani, Leila. Advanced Spectral Methods for Turbulent Flows.

Degree: PhD, Engineering Mechanics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/47676

► Although spectral methods have been in use for decades, there is still room for innovation, refinement and improvement of the methods in terms of efficiency…
(more)

Subjects/Keywords: Turbulent Flows; Spectral Methods; Large Eddy Simulation; Direct Numerical Simulation

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APA (6^{th} Edition):

Nasr Azadani, L. (2014). Advanced Spectral Methods for Turbulent Flows. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/47676

Chicago Manual of Style (16^{th} Edition):

Nasr Azadani, Leila. “Advanced Spectral Methods for Turbulent Flows.” 2014. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/47676.

MLA Handbook (7^{th} Edition):

Nasr Azadani, Leila. “Advanced Spectral Methods for Turbulent Flows.” 2014. Web. 13 Apr 2021.

Vancouver:

Nasr Azadani L. Advanced Spectral Methods for Turbulent Flows. [Internet] [Doctoral dissertation]. Virginia Tech; 2014. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/47676.

Council of Science Editors:

Nasr Azadani L. Advanced Spectral Methods for Turbulent Flows. [Doctoral Dissertation]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/47676

Virginia Tech

23. Baccouch, Mahboub. Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes.

Degree: PhD, Mathematics, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/26331

► In this thesis, we present new superconvergence properties of discontinuous Galerkin (DG) methods for two-dimensional hyperbolic problems. We investigate the superconvergence properties of the DG…
(more)

Subjects/Keywords: hyperbolic problems; a posteriori errorestimates; Discontinuous Galerkin method; triangular meshes; superconvergence

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

APA (6^{th} Edition):

Baccouch, M. (2008). Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26331

Chicago Manual of Style (16^{th} Edition):

Baccouch, Mahboub. “Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes.” 2008. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/26331.

MLA Handbook (7^{th} Edition):

Baccouch, Mahboub. “Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes.” 2008. Web. 13 Apr 2021.

Vancouver:

Baccouch M. Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes. [Internet] [Doctoral dissertation]. Virginia Tech; 2008. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/26331.

Council of Science Editors:

Baccouch M. Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes. [Doctoral Dissertation]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/26331

Virginia Tech

24. Hou, Peter S. Nodal Reordering Strategies to Improve Preconditioning for Finite Element Systems.

Degree: MS, Mathematics, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/32026

► The availability of high performance computing clusters has allowed scientists and engineers to study more challenging problems. However, new algorithms need to be developed to…
(more)

Subjects/Keywords: Iterative Solver; Scientific Computing; Unstructured Mesh; Finite Element Method; Preconditioner; Nodal Reordering Strategy

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

APA (6^{th} Edition):

Hou, P. S. (2005). Nodal Reordering Strategies to Improve Preconditioning for Finite Element Systems. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32026

Chicago Manual of Style (16^{th} Edition):

Hou, Peter S. “Nodal Reordering Strategies to Improve Preconditioning for Finite Element Systems.” 2005. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/32026.

MLA Handbook (7^{th} Edition):

Hou, Peter S. “Nodal Reordering Strategies to Improve Preconditioning for Finite Element Systems.” 2005. Web. 13 Apr 2021.

Vancouver:

Hou PS. Nodal Reordering Strategies to Improve Preconditioning for Finite Element Systems. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/32026.

Council of Science Editors:

Hou PS. Nodal Reordering Strategies to Improve Preconditioning for Finite Element Systems. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/32026

Virginia Tech

25. O'Connor, Nicholas L. The Complex Spatiotemporal Dynamics of a Shallow Fluid Layer.

Degree: MS, Mechanical Engineering, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/32705

► The nonlinear and chaotic dynamics of a shallow fluid layer are investigated numerically using large-scale parallel numerical simulations. Two particular situations are studied in detail.…
(more)

Subjects/Keywords: Boussinesq; Spatiotemporal; Chaos

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

APA (6^{th} Edition):

O'Connor, N. L. (2008). The Complex Spatiotemporal Dynamics of a Shallow Fluid Layer. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32705

Chicago Manual of Style (16^{th} Edition):

O'Connor, Nicholas L. “The Complex Spatiotemporal Dynamics of a Shallow Fluid Layer.” 2008. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/32705.

MLA Handbook (7^{th} Edition):

O'Connor, Nicholas L. “The Complex Spatiotemporal Dynamics of a Shallow Fluid Layer.” 2008. Web. 13 Apr 2021.

Vancouver:

O'Connor NL. The Complex Spatiotemporal Dynamics of a Shallow Fluid Layer. [Internet] [Masters thesis]. Virginia Tech; 2008. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/32705.

Council of Science Editors:

O'Connor NL. The Complex Spatiotemporal Dynamics of a Shallow Fluid Layer. [Masters Thesis]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/32705

Virginia Tech

26. Kovacs, Denis Christoph. Inertial Manifolds and Nonlinear Galerkin Methods.

Degree: MS, Mathematics, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/30792

► Nonlinear Galerkin methods utilize approximate inertial manifolds to reduce the spatial error of the standard Galerkin method. For certain scenarios, where a rough forcing term…
(more)

Subjects/Keywords: inertial manifolds; nonlinear Galerkin; postprocessed Galerkin; approximate inertial manifolds

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

APA (6^{th} Edition):

Kovacs, D. C. (2005). Inertial Manifolds and Nonlinear Galerkin Methods. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/30792

Chicago Manual of Style (16^{th} Edition):

Kovacs, Denis Christoph. “Inertial Manifolds and Nonlinear Galerkin Methods.” 2005. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/30792.

MLA Handbook (7^{th} Edition):

Kovacs, Denis Christoph. “Inertial Manifolds and Nonlinear Galerkin Methods.” 2005. Web. 13 Apr 2021.

Vancouver:

Kovacs DC. Inertial Manifolds and Nonlinear Galerkin Methods. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/30792.

Council of Science Editors:

Kovacs DC. Inertial Manifolds and Nonlinear Galerkin Methods. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/30792

Virginia Tech

27. Krueger, Denise A. Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations.

Degree: PhD, Mathematics, 2004, Virginia Tech

URL: http://hdl.handle.net/10919/11214

► We study the behavior of numerical stabilization schemes in the context of linear quadratic regulator (LQR) control problems for convection diffusion equations. The motivation for…
(more)

Subjects/Keywords: Stabilized Finite Elements; Convection-Diffusion Equation; Linear Quadratic Regulator Problems; Non-normal

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

APA (6^{th} Edition):

Krueger, D. A. (2004). Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/11214

Chicago Manual of Style (16^{th} Edition):

Krueger, Denise A. “Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations.” 2004. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/11214.

MLA Handbook (7^{th} Edition):

Krueger, Denise A. “Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations.” 2004. Web. 13 Apr 2021.

Vancouver:

Krueger DA. Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations. [Internet] [Doctoral dissertation]. Virginia Tech; 2004. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/11214.

Council of Science Editors:

Krueger DA. Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations. [Doctoral Dissertation]. Virginia Tech; 2004. Available from: http://hdl.handle.net/10919/11214

Virginia Tech

28. Constantinescu, Emil Mihai. Adaptive Numerical Methods for Large Scale Simulations and Data Assimilation.

Degree: PhD, Computer Science, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/27938

► Numerical simulation is necessary to understand natural phenomena, make assessments and predictions in various research and engineering fields, develop new technologies, etc. New algorithms are…
(more)

Subjects/Keywords: data assimilation; IMEX; multirate; ODE and PDE time integration

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

APA (6^{th} Edition):

Constantinescu, E. M. (2008). Adaptive Numerical Methods for Large Scale Simulations and Data Assimilation. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27938

Chicago Manual of Style (16^{th} Edition):

Constantinescu, Emil Mihai. “Adaptive Numerical Methods for Large Scale Simulations and Data Assimilation.” 2008. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/27938.

MLA Handbook (7^{th} Edition):

Constantinescu, Emil Mihai. “Adaptive Numerical Methods for Large Scale Simulations and Data Assimilation.” 2008. Web. 13 Apr 2021.

Vancouver:

Constantinescu EM. Adaptive Numerical Methods for Large Scale Simulations and Data Assimilation. [Internet] [Doctoral dissertation]. Virginia Tech; 2008. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/27938.

Council of Science Editors:

Constantinescu EM. Adaptive Numerical Methods for Large Scale Simulations and Data Assimilation. [Doctoral Dissertation]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/27938

Virginia Tech

29. Singler, John. Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow.

Degree: PhD, Mathematics, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/28051

► For over 100 years, researchers have attempted to predict transition to turbulence in fluid flows by analyzing the spectrum of the linearized Navier-Stokes equations. However,…
(more)

Subjects/Keywords: Sensitivity Analysis; Small Disturbances; Transition to Turbulence; Partial Differential Equations

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

APA (6^{th} Edition):

Singler, J. (2005). Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28051

Chicago Manual of Style (16^{th} Edition):

Singler, John. “Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow.” 2005. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/28051.

MLA Handbook (7^{th} Edition):

Singler, John. “Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow.” 2005. Web. 13 Apr 2021.

Vancouver:

Singler J. Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow. [Internet] [Doctoral dissertation]. Virginia Tech; 2005. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/28051.

Council of Science Editors:

Singler J. Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow. [Doctoral Dissertation]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/28051

Virginia Tech

30. Singh, Kumaresh. Efficient Computational Tools for Variational Data Assimilation and Information Content Estimation.

Degree: PhD, Computer Science, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/39125

► The overall goals of this dissertation are to advance the field of chemical data assimilation, and to develop efficient computational tools that allow the atmospheric…
(more)

Subjects/Keywords: Information Theory; Chemical Transport Models; Global Ozone Measurements; Model Adjoint Construction; Adjoint Sensitivity Analysis; Error Covariance Matrices; Data Assimilation

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

APA (6^{th} Edition):

Singh, K. (2010). Efficient Computational Tools for Variational Data Assimilation and Information Content Estimation. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/39125

Chicago Manual of Style (16^{th} Edition):

Singh, Kumaresh. “Efficient Computational Tools for Variational Data Assimilation and Information Content Estimation.” 2010. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/39125.

MLA Handbook (7^{th} Edition):

Singh, Kumaresh. “Efficient Computational Tools for Variational Data Assimilation and Information Content Estimation.” 2010. Web. 13 Apr 2021.

Vancouver:

Singh K. Efficient Computational Tools for Variational Data Assimilation and Information Content Estimation. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/39125.

Council of Science Editors:

Singh K. Efficient Computational Tools for Variational Data Assimilation and Information Content Estimation. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/39125