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Rice University

1. Kroeger, Nathaniel James. ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems.

Degree: MA, Engineering, 2020, Rice University

URL: http://hdl.handle.net/1911/109174

► This thesis investigates alternating direction method of multipliers (ADMM)-based methods for time-domain decomposition (TDD) formulations of linear-quadratic partial differential equation (PDE)-constrained optimization problems. The solution…
(more)

Subjects/Keywords: Time Domain Decomposition; Alternating Direction Method of Multipliers; ADMM

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

APA (6^{th} Edition):

Kroeger, N. J. (2020). ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/109174

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

Kroeger, Nathaniel James. “ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems.” 2020. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/109174.

MLA Handbook (7^{th} Edition):

Kroeger, Nathaniel James. “ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems.” 2020. Web. 13 Apr 2021.

Vancouver:

Kroeger NJ. ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems. [Internet] [Masters thesis]. Rice University; 2020. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/109174.

Council of Science Editors:

Kroeger NJ. ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems. [Masters Thesis]. Rice University; 2020. Available from: http://hdl.handle.net/1911/109174

Rice University

2. Deng, Xiaodi. A Parallel-In-Time Gradient-Type Method For Optimal Control Problems.

Degree: PhD, Engineering, 2017, Rice University

URL: http://hdl.handle.net/1911/96102

► This thesis proposes and analyzes a new parallel-in-time gradient-type method for time-dependent optimal control problems. When the classical gradient method is applied to time-dependent optimal…
(more)

Subjects/Keywords: Parallel Computation; Optimal Control

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APA (6^{th} Edition):

Deng, X. (2017). A Parallel-In-Time Gradient-Type Method For Optimal Control Problems. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/96102

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

Deng, Xiaodi. “A Parallel-In-Time Gradient-Type Method For Optimal Control Problems.” 2017. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/96102.

MLA Handbook (7^{th} Edition):

Deng, Xiaodi. “A Parallel-In-Time Gradient-Type Method For Optimal Control Problems.” 2017. Web. 13 Apr 2021.

Vancouver:

Deng X. A Parallel-In-Time Gradient-Type Method For Optimal Control Problems. [Internet] [Doctoral dissertation]. Rice University; 2017. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/96102.

Council of Science Editors:

Deng X. A Parallel-In-Time Gradient-Type Method For Optimal Control Problems. [Doctoral Dissertation]. Rice University; 2017. Available from: http://hdl.handle.net/1911/96102

Rice University

3. Takhtaganov, Timur. Efficient estimation of coherent risk measures for risk-averse optimization problems governed by partial differential equations with random inputs.

Degree: PhD, Engineering, 2017, Rice University

URL: http://hdl.handle.net/1911/105454

► The scope of this thesis is the assessment and design of structure-exploiting methods for the efficient estimation of risk measures of quantities of interest in…
(more)

Subjects/Keywords: optimization under uncertainty; PDE-constrained optimization; risk-averse optimization; risk measures; importance sampling; reduced order models; conditional value-at-risk

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APA (6^{th} Edition):

Takhtaganov, T. (2017). Efficient estimation of coherent risk measures for risk-averse optimization problems governed by partial differential equations with random inputs. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/105454

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

Takhtaganov, Timur. “Efficient estimation of coherent risk measures for risk-averse optimization problems governed by partial differential equations with random inputs.” 2017. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/105454.

MLA Handbook (7^{th} Edition):

Takhtaganov, Timur. “Efficient estimation of coherent risk measures for risk-averse optimization problems governed by partial differential equations with random inputs.” 2017. Web. 13 Apr 2021.

Vancouver:

Takhtaganov T. Efficient estimation of coherent risk measures for risk-averse optimization problems governed by partial differential equations with random inputs. [Internet] [Doctoral dissertation]. Rice University; 2017. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/105454.

Council of Science Editors:

Takhtaganov T. Efficient estimation of coherent risk measures for risk-averse optimization problems governed by partial differential equations with random inputs. [Doctoral Dissertation]. Rice University; 2017. Available from: http://hdl.handle.net/1911/105454

Rice University

4. Markowski, Mae. Newton-Based Methods for Smoothed Risk-Averse PDE-Constrained Optimization Problems.

Degree: MA, Engineering, 2019, Rice University

URL: http://hdl.handle.net/1911/107436

► This thesis introduces a modification for traditional, Newton-based methods to improve the efficiency of solving smoothed, risk-averse PDE-constrained optimization problems arising from optimal control applications.…
(more)

Subjects/Keywords: Optimization under uncertainty; Conditional Value-at-Risk; PDE-Constrained Optimization

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APA (6^{th} Edition):

Markowski, M. (2019). Newton-Based Methods for Smoothed Risk-Averse PDE-Constrained Optimization Problems. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/107436

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

Markowski, Mae. “Newton-Based Methods for Smoothed Risk-Averse PDE-Constrained Optimization Problems.” 2019. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/107436.

MLA Handbook (7^{th} Edition):

Markowski, Mae. “Newton-Based Methods for Smoothed Risk-Averse PDE-Constrained Optimization Problems.” 2019. Web. 13 Apr 2021.

Vancouver:

Markowski M. Newton-Based Methods for Smoothed Risk-Averse PDE-Constrained Optimization Problems. [Internet] [Masters thesis]. Rice University; 2019. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/107436.

Council of Science Editors:

Markowski M. Newton-Based Methods for Smoothed Risk-Averse PDE-Constrained Optimization Problems. [Masters Thesis]. Rice University; 2019. Available from: http://hdl.handle.net/1911/107436

Rice University

5. Geldermans, Peter. Accelerated PDE Constrained Optimization using Direct Solvers.

Degree: MA, Engineering, 2018, Rice University

URL: http://hdl.handle.net/1911/105485

► In this thesis, I propose a method to reduce the cost of computing solutions to optimization problems governed by partial differential equations (PDEs). Standard second…
(more)

Subjects/Keywords: PDE constrained optimization; direct solvers; fast solvers

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APA (6^{th} Edition):

Geldermans, P. (2018). Accelerated PDE Constrained Optimization using Direct Solvers. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/105485

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

Geldermans, Peter. “Accelerated PDE Constrained Optimization using Direct Solvers.” 2018. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/105485.

MLA Handbook (7^{th} Edition):

Geldermans, Peter. “Accelerated PDE Constrained Optimization using Direct Solvers.” 2018. Web. 13 Apr 2021.

Vancouver:

Geldermans P. Accelerated PDE Constrained Optimization using Direct Solvers. [Internet] [Masters thesis]. Rice University; 2018. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/105485.

Council of Science Editors:

Geldermans P. Accelerated PDE Constrained Optimization using Direct Solvers. [Masters Thesis]. Rice University; 2018. Available from: http://hdl.handle.net/1911/105485

Rice University

6. Gohlke, Jedidiah. Reduced Order Modeling for Optimization of Large Scale Dynamical Systems.

Degree: MA, Engineering, 2013, Rice University

URL: http://hdl.handle.net/1911/76771

► This thesis compares different techniques for applying reduced order modeling to PDE constrained optimization and develops a new method based on recent work by Dihlmann…
(more)

Subjects/Keywords: Dynamical systems; Optimal control; Model reduction; Proper orthogonal decomposition

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APA (6^{th} Edition):

Gohlke, J. (2013). Reduced Order Modeling for Optimization of Large Scale Dynamical Systems. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/76771

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

Gohlke, Jedidiah. “Reduced Order Modeling for Optimization of Large Scale Dynamical Systems.” 2013. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/76771.

MLA Handbook (7^{th} Edition):

Gohlke, Jedidiah. “Reduced Order Modeling for Optimization of Large Scale Dynamical Systems.” 2013. Web. 13 Apr 2021.

Vancouver:

Gohlke J. Reduced Order Modeling for Optimization of Large Scale Dynamical Systems. [Internet] [Masters thesis]. Rice University; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/76771.

Council of Science Editors:

Gohlke J. Reduced Order Modeling for Optimization of Large Scale Dynamical Systems. [Masters Thesis]. Rice University; 2013. Available from: http://hdl.handle.net/1911/76771

Rice University

7. Hokanson, Jeffrey. Numerically Stable and Statistically Efficient Algorithms for Large Scale Exponential Fitting.

Degree: PhD, Engineering, 2013, Rice University

URL: http://hdl.handle.net/1911/77161

► The exponential fitting problem appears in diverse applications such as magnetic resonance spectroscopy, mechanical resonance, chemical reactions, system identification, and radioactive decay. In each application,…
(more)

Subjects/Keywords: Exponential fitting; Exponential sums; Exponentially damped sinusoids; Nonlinear least squares; Parameter estimation; Prony's method; Damping; Compression; Compressed nonlinear least squares; Large scale nonlinear least squares; Big data

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APA (6^{th} Edition):

Hokanson, J. (2013). Numerically Stable and Statistically Efficient Algorithms for Large Scale Exponential Fitting. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/77161

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

Hokanson, Jeffrey. “Numerically Stable and Statistically Efficient Algorithms for Large Scale Exponential Fitting.” 2013. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/77161.

MLA Handbook (7^{th} Edition):

Hokanson, Jeffrey. “Numerically Stable and Statistically Efficient Algorithms for Large Scale Exponential Fitting.” 2013. Web. 13 Apr 2021.

Vancouver:

Hokanson J. Numerically Stable and Statistically Efficient Algorithms for Large Scale Exponential Fitting. [Internet] [Doctoral dissertation]. Rice University; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/77161.

Council of Science Editors:

Hokanson J. Numerically Stable and Statistically Efficient Algorithms for Large Scale Exponential Fitting. [Doctoral Dissertation]. Rice University; 2013. Available from: http://hdl.handle.net/1911/77161

Rice University

8. Tan, Jun. Convergence Analysis of Discontinuous Galerkin Methods for Poroelasticity Equations.

Degree: MA, Engineering, 2013, Rice University

URL: http://hdl.handle.net/1911/77564

► This thesis analyzes a numerical method for solving the poroelasticity equations. The model incorporating the poroelasticity equations in this thesis can be applied in intestinal…
(more)

Subjects/Keywords: Discontinuous Galerkin methods; Poroelasticity equations; Error estimate; Intestinal edema; Numerical PDE

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APA (6^{th} Edition):

Tan, J. (2013). Convergence Analysis of Discontinuous Galerkin Methods for Poroelasticity Equations. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/77564

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

Tan, Jun. “Convergence Analysis of Discontinuous Galerkin Methods for Poroelasticity Equations.” 2013. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/77564.

MLA Handbook (7^{th} Edition):

Tan, Jun. “Convergence Analysis of Discontinuous Galerkin Methods for Poroelasticity Equations.” 2013. Web. 13 Apr 2021.

Vancouver:

Tan J. Convergence Analysis of Discontinuous Galerkin Methods for Poroelasticity Equations. [Internet] [Masters thesis]. Rice University; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/77564.

Council of Science Editors:

Tan J. Convergence Analysis of Discontinuous Galerkin Methods for Poroelasticity Equations. [Masters Thesis]. Rice University; 2013. Available from: http://hdl.handle.net/1911/77564

Rice University

9. Lin, Lu. Simulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methods.

Degree: MA, Engineering, 2020, Rice University

URL: http://hdl.handle.net/1911/109395

► In this dissertation, an effective numerical algorithm is developed for establishing simulation for the two-component two-phase flow with partial miscibility at the pore scale. Many…
(more)

Subjects/Keywords: Discontinuous Galerkin method; porous media; two-component two-phase flow; partial miscibility; Peng-Robinson equation of state

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APA (6^{th} Edition):

Lin, L. (2020). Simulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methods. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/109395

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

Lin, Lu. “Simulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methods.” 2020. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/109395.

MLA Handbook (7^{th} Edition):

Lin, Lu. “Simulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methods.” 2020. Web. 13 Apr 2021.

Vancouver:

Lin L. Simulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methods. [Internet] [Masters thesis]. Rice University; 2020. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/109395.

Council of Science Editors:

Lin L. Simulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methods. [Masters Thesis]. Rice University; 2020. Available from: http://hdl.handle.net/1911/109395

10. Li, Jizhou. High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity.

Degree: PhD, Engineering, 2015, Rice University

URL: http://hdl.handle.net/1911/88087

► In my thesis, I formulate, analyze and implement high order discontinuous Galerkin methods for simulating miscible displacement in porous media. The analysis concerning the stability…
(more)

Subjects/Keywords: discontinuous Galerkin methods; miscible displacement; reservoir simulations; high performance computing; high order methods; viscous fingering; algebraic multigrid; domain decomposition

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

APA (6^{th} Edition):

Li, J. (2015). High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/88087

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

Li, Jizhou. “High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity.” 2015. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/88087.

MLA Handbook (7^{th} Edition):

Li, Jizhou. “High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity.” 2015. Web. 13 Apr 2021.

Vancouver:

Li J. High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity. [Internet] [Doctoral dissertation]. Rice University; 2015. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/88087.

Council of Science Editors:

Li J. High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity. [Doctoral Dissertation]. Rice University; 2015. Available from: http://hdl.handle.net/1911/88087

11. Lin, Shengchao. Parareal-Based Preconditioners for Linear-Quadratic Optimal Control Problems.

Degree: MA, Engineering, 2019, Rice University

URL: http://hdl.handle.net/1911/107866

► This thesis introduces and analyzes an efficient two time-grid parallel algorithm that reduces time and storage requirements of traditional gradient-based methods for time-dependent optimal control…
(more)

Subjects/Keywords: Linear quadratic optimal control problems; Parallel-in-time method; Domain decomposition

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

APA (6^{th} Edition):

Lin, S. (2019). Parareal-Based Preconditioners for Linear-Quadratic Optimal Control Problems. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/107866

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

Lin, Shengchao. “Parareal-Based Preconditioners for Linear-Quadratic Optimal Control Problems.” 2019. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/107866.

MLA Handbook (7^{th} Edition):

Lin, Shengchao. “Parareal-Based Preconditioners for Linear-Quadratic Optimal Control Problems.” 2019. Web. 13 Apr 2021.

Vancouver:

Lin S. Parareal-Based Preconditioners for Linear-Quadratic Optimal Control Problems. [Internet] [Masters thesis]. Rice University; 2019. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/107866.

Council of Science Editors:

Lin S. Parareal-Based Preconditioners for Linear-Quadratic Optimal Control Problems. [Masters Thesis]. Rice University; 2019. Available from: http://hdl.handle.net/1911/107866

12. Magruder, Caleb Clarke. Projection-Based Model Reduction in the Context of Optimization with Implicit PDE Constraints.

Degree: PhD, Engineering, 2017, Rice University

URL: http://hdl.handle.net/1911/96099

► I use reduced order models (ROMs) to substantially decrease the computational cost of Newton's method for large-scale time-dependent optimal control problems in settings where solving…
(more)

Subjects/Keywords: model order reduction; optimal control of partial differential equations; PDE constrained optimization; large-scale nonlinear optimization

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

APA (6^{th} Edition):

Magruder, C. C. (2017). Projection-Based Model Reduction in the Context of Optimization with Implicit PDE Constraints. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/96099

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

Magruder, Caleb Clarke. “Projection-Based Model Reduction in the Context of Optimization with Implicit PDE Constraints.” 2017. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/96099.

MLA Handbook (7^{th} Edition):

Magruder, Caleb Clarke. “Projection-Based Model Reduction in the Context of Optimization with Implicit PDE Constraints.” 2017. Web. 13 Apr 2021.

Vancouver:

Magruder CC. Projection-Based Model Reduction in the Context of Optimization with Implicit PDE Constraints. [Internet] [Doctoral dissertation]. Rice University; 2017. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/96099.

Council of Science Editors:

Magruder CC. Projection-Based Model Reduction in the Context of Optimization with Implicit PDE Constraints. [Doctoral Dissertation]. Rice University; 2017. Available from: http://hdl.handle.net/1911/96099

Rice University

13. Reeger, Jonah. A comparison of transcription techniques for the optimal control of the International Space Station.

Degree: MA, Natural Sciences, 2009, Rice University

URL: http://hdl.handle.net/1911/103719

► The numerical solution of Optimal Control Problems has received much attention over the past few decades. In particular, direct transcription methods have been studied because…
(more)

Subjects/Keywords: Applied Mathematics; Mathematics; Aerospace engineering; Applied sciences; Pure sciences

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

APA (6^{th} Edition):

Reeger, J. (2009). A comparison of transcription techniques for the optimal control of the International Space Station. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/103719

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

Reeger, Jonah. “A comparison of transcription techniques for the optimal control of the International Space Station.” 2009. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/103719.

MLA Handbook (7^{th} Edition):

Reeger, Jonah. “A comparison of transcription techniques for the optimal control of the International Space Station.” 2009. Web. 13 Apr 2021.

Vancouver:

Reeger J. A comparison of transcription techniques for the optimal control of the International Space Station. [Internet] [Masters thesis]. Rice University; 2009. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/103719.

Council of Science Editors:

Reeger J. A comparison of transcription techniques for the optimal control of the International Space Station. [Masters Thesis]. Rice University; 2009. Available from: http://hdl.handle.net/1911/103719

Rice University

14. Nguyen, Hoang Q. Domain decomposition methods for linear-quadratic elliptic optimal control problems.

Degree: PhD, Natural Sciences, 2005, Rice University

URL: http://hdl.handle.net/1911/18848

► This thesis is concerned with the development of domain decomposition (DD) based preconditioners for linear-quadratic elliptic optimal control problems (LQ-EOCPs), their analysis, and numerical studies…
(more)

Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Nguyen, H. Q. (2005). Domain decomposition methods for linear-quadratic elliptic optimal control problems. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/18848

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

Nguyen, Hoang Q. “Domain decomposition methods for linear-quadratic elliptic optimal control problems.” 2005. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/18848.

MLA Handbook (7^{th} Edition):

Nguyen, Hoang Q. “Domain decomposition methods for linear-quadratic elliptic optimal control problems.” 2005. Web. 13 Apr 2021.

Vancouver:

Nguyen HQ. Domain decomposition methods for linear-quadratic elliptic optimal control problems. [Internet] [Doctoral dissertation]. Rice University; 2005. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/18848.

Council of Science Editors:

Nguyen HQ. Domain decomposition methods for linear-quadratic elliptic optimal control problems. [Doctoral Dissertation]. Rice University; 2005. Available from: http://hdl.handle.net/1911/18848

Rice University

15. Comas, Agata. Time-domain decomposition preconditioners for the solution of discretized parabolic optimal control problems.

Degree: PhD, Natural Sciences, 2006, Rice University

URL: http://hdl.handle.net/1911/18884

► Optimal control problems governed by time-dependent partial differential equations (PDEs) lead to large-scale optimization problems. While a single PDE can be solved by marching forward…
(more)

Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Comas, A. (2006). Time-domain decomposition preconditioners for the solution of discretized parabolic optimal control problems. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/18884

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

Comas, Agata. “Time-domain decomposition preconditioners for the solution of discretized parabolic optimal control problems.” 2006. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/18884.

MLA Handbook (7^{th} Edition):

Comas, Agata. “Time-domain decomposition preconditioners for the solution of discretized parabolic optimal control problems.” 2006. Web. 13 Apr 2021.

Vancouver:

Comas A. Time-domain decomposition preconditioners for the solution of discretized parabolic optimal control problems. [Internet] [Doctoral dissertation]. Rice University; 2006. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/18884.

Council of Science Editors:

Comas A. Time-domain decomposition preconditioners for the solution of discretized parabolic optimal control problems. [Doctoral Dissertation]. Rice University; 2006. Available from: http://hdl.handle.net/1911/18884

Rice University

16. Pietz, Jesse Allen. Pseudospectral collocation methods for the direct transcription of optimal control problems.

Degree: MA, Engineering, 2003, Rice University

URL: http://hdl.handle.net/1911/17616

► This thesis is concerned with the study of pseudospectral discretizations of optimal control problems governed by ordinary differential equations and with their application to the…
(more)

Subjects/Keywords: Mathematics; Aerospace engineering; Operations research

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APA (6^{th} Edition):

Pietz, J. A. (2003). Pseudospectral collocation methods for the direct transcription of optimal control problems. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/17616

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

Pietz, Jesse Allen. “Pseudospectral collocation methods for the direct transcription of optimal control problems.” 2003. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/17616.

MLA Handbook (7^{th} Edition):

Pietz, Jesse Allen. “Pseudospectral collocation methods for the direct transcription of optimal control problems.” 2003. Web. 13 Apr 2021.

Vancouver:

Pietz JA. Pseudospectral collocation methods for the direct transcription of optimal control problems. [Internet] [Masters thesis]. Rice University; 2003. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/17616.

Council of Science Editors:

Pietz JA. Pseudospectral collocation methods for the direct transcription of optimal control problems. [Masters Thesis]. Rice University; 2003. Available from: http://hdl.handle.net/1911/17616

Rice University

17. Ridzal, Denis. Trust-region SQP methods with inexact linear system solves for large-scale optimization.

Degree: PhD, Natural Sciences, 2006, Rice University

URL: http://hdl.handle.net/1911/18962

► This thesis extends the design and the global convergence analysis of a class of trust-region sequential quadratic programming (SQP) algorithms for smooth nonlinear optimization to…
(more)

Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Ridzal, D. (2006). Trust-region SQP methods with inexact linear system solves for large-scale optimization. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/18962

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

Ridzal, Denis. “Trust-region SQP methods with inexact linear system solves for large-scale optimization.” 2006. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/18962.

MLA Handbook (7^{th} Edition):

Ridzal, Denis. “Trust-region SQP methods with inexact linear system solves for large-scale optimization.” 2006. Web. 13 Apr 2021.

Vancouver:

Ridzal D. Trust-region SQP methods with inexact linear system solves for large-scale optimization. [Internet] [Doctoral dissertation]. Rice University; 2006. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/18962.

Council of Science Editors:

Ridzal D. Trust-region SQP methods with inexact linear system solves for large-scale optimization. [Doctoral Dissertation]. Rice University; 2006. Available from: http://hdl.handle.net/1911/18962

Rice University

18. Nederkoorn, Eelco. Adaptive finite element methods for linear-quadratic convection dominated elliptic optimal control problems.

Degree: MA, Natural Sciences, 2010, Rice University

URL: http://hdl.handle.net/1911/61980

► The numerical solution of linear-quadratic elliptic optimal control problems requires the solution of a coupled system of elliptic partial differential equations (PDEs), consisting of the…
(more)

Subjects/Keywords: Applied mathematics

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APA (6^{th} Edition):

Nederkoorn, E. (2010). Adaptive finite element methods for linear-quadratic convection dominated elliptic optimal control problems. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/61980

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

Nederkoorn, Eelco. “Adaptive finite element methods for linear-quadratic convection dominated elliptic optimal control problems.” 2010. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/61980.

MLA Handbook (7^{th} Edition):

Nederkoorn, Eelco. “Adaptive finite element methods for linear-quadratic convection dominated elliptic optimal control problems.” 2010. Web. 13 Apr 2021.

Vancouver:

Nederkoorn E. Adaptive finite element methods for linear-quadratic convection dominated elliptic optimal control problems. [Internet] [Masters thesis]. Rice University; 2010. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/61980.

Council of Science Editors:

Nederkoorn E. Adaptive finite element methods for linear-quadratic convection dominated elliptic optimal control problems. [Masters Thesis]. Rice University; 2010. Available from: http://hdl.handle.net/1911/61980

Rice University

19. Kouri, Drew P. Optimization governed by stochastic partial differential equations.

Degree: MA, Natural Sciences, 2010, Rice University

URL: http://hdl.handle.net/1911/62002

► This thesis provides a rigorous framework for the solution of stochastic elliptic partial differential equation (SPDE) constrained optimization problems. In modeling physical processes with differential…
(more)

Subjects/Keywords: Applied mathematics; Mathematics

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APA (6^{th} Edition):

Kouri, D. P. (2010). Optimization governed by stochastic partial differential equations. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/62002

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

Kouri, Drew P. “Optimization governed by stochastic partial differential equations.” 2010. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/62002.

MLA Handbook (7^{th} Edition):

Kouri, Drew P. “Optimization governed by stochastic partial differential equations.” 2010. Web. 13 Apr 2021.

Vancouver:

Kouri DP. Optimization governed by stochastic partial differential equations. [Internet] [Masters thesis]. Rice University; 2010. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/62002.

Council of Science Editors:

Kouri DP. Optimization governed by stochastic partial differential equations. [Masters Thesis]. Rice University; 2010. Available from: http://hdl.handle.net/1911/62002

Rice University

20. Hardesty, Sean S. Optimization of shell structure acoustics.

Degree: PhD, Natural Sciences, 2010, Rice University

URL: http://hdl.handle.net/1911/62017

► This thesis analyzes a mathematical model for shell structure acoustics, and develops and implements the adjoint equations for this model. The adjoint equations allow the…
(more)

Subjects/Keywords: Applied mathematics; Mathematics; Acoustics

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APA (6^{th} Edition):

Hardesty, S. S. (2010). Optimization of shell structure acoustics. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/62017

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

Hardesty, Sean S. “Optimization of shell structure acoustics.” 2010. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/62017.

MLA Handbook (7^{th} Edition):

Hardesty, Sean S. “Optimization of shell structure acoustics.” 2010. Web. 13 Apr 2021.

Vancouver:

Hardesty SS. Optimization of shell structure acoustics. [Internet] [Doctoral dissertation]. Rice University; 2010. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/62017.

Council of Science Editors:

Hardesty SS. Optimization of shell structure acoustics. [Doctoral Dissertation]. Rice University; 2010. Available from: http://hdl.handle.net/1911/62017

Rice University

21. Wiegand, Klaus D. A numerical study of an adjoint based method for reservoir optimization.

Degree: MA, Engineering, 2010, Rice University

URL: http://hdl.handle.net/1911/62212

► A numerical reservoir simulator that uses a finite volume spatial discretization and two time discretization schemes is developed and tested. First and second order derivatives…
(more)

Subjects/Keywords: Applied mathematics; Petroleum engineering; Energy

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APA (6^{th} Edition):

Wiegand, K. D. (2010). A numerical study of an adjoint based method for reservoir optimization. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/62212

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

Wiegand, Klaus D. “A numerical study of an adjoint based method for reservoir optimization.” 2010. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/62212.

MLA Handbook (7^{th} Edition):

Wiegand, Klaus D. “A numerical study of an adjoint based method for reservoir optimization.” 2010. Web. 13 Apr 2021.

Vancouver:

Wiegand KD. A numerical study of an adjoint based method for reservoir optimization. [Internet] [Masters thesis]. Rice University; 2010. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/62212.

Council of Science Editors:

Wiegand KD. A numerical study of an adjoint based method for reservoir optimization. [Masters Thesis]. Rice University; 2010. Available from: http://hdl.handle.net/1911/62212

22. Takhtaganov, Timur A. High-dimensional integration for optimization under uncertainty.

Degree: MA, Engineering, 2015, Rice University

URL: http://hdl.handle.net/1911/87771

► This thesis focuses on the problem of evaluating high-dimensional integrals arising in optimization under uncertainty. Uncertainties in the input data affect the behavior of the…
(more)

Subjects/Keywords: optimization under uncertainty; high-dimensional integration; risk measures; sparse grids; uncertainty quantification

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APA (6^{th} Edition):

Takhtaganov, T. A. (2015). High-dimensional integration for optimization under uncertainty. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/87771

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

Takhtaganov, Timur A. “High-dimensional integration for optimization under uncertainty.” 2015. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/87771.

MLA Handbook (7^{th} Edition):

Takhtaganov, Timur A. “High-dimensional integration for optimization under uncertainty.” 2015. Web. 13 Apr 2021.

Vancouver:

Takhtaganov TA. High-dimensional integration for optimization under uncertainty. [Internet] [Masters thesis]. Rice University; 2015. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/87771.

Council of Science Editors:

Takhtaganov TA. High-dimensional integration for optimization under uncertainty. [Masters Thesis]. Rice University; 2015. Available from: http://hdl.handle.net/1911/87771

Rice University

23. Comas, Agata. Time domain decomposition methods for second-order linear quadratic optimal control problems.

Degree: MA, Natural Sciences, 2004, Rice University

URL: http://hdl.handle.net/1911/17665

► Optimal control problems governed by time-dependent differential equations lead to large scale problems. Their numerical solution is challenging due to large storage demands resulting from…
(more)

Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Comas, A. (2004). Time domain decomposition methods for second-order linear quadratic optimal control problems. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/17665

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

Comas, Agata. “Time domain decomposition methods for second-order linear quadratic optimal control problems.” 2004. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/17665.

MLA Handbook (7^{th} Edition):

Comas, Agata. “Time domain decomposition methods for second-order linear quadratic optimal control problems.” 2004. Web. 13 Apr 2021.

Vancouver:

Comas A. Time domain decomposition methods for second-order linear quadratic optimal control problems. [Internet] [Masters thesis]. Rice University; 2004. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/17665.

Council of Science Editors:

Comas A. Time domain decomposition methods for second-order linear quadratic optimal control problems. [Masters Thesis]. Rice University; 2004. Available from: http://hdl.handle.net/1911/17665

Rice University

24. Wang, Zhen. A generalized trust region SQP algorithm for equality constrained optimization.

Degree: PhD, Natural Sciences, 2004, Rice University

URL: http://hdl.handle.net/1911/18720

► We introduce and analyze a class of generalized trust region sequential quadratic programming (GTRSQP) algorithms for equality constrained optimization. Unlike in standard trust region SQP…
(more)

Subjects/Keywords: Mathematics; Mechanical engineering

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APA (6^{th} Edition):

Wang, Z. (2004). A generalized trust region SQP algorithm for equality constrained optimization. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/18720

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

Wang, Zhen. “A generalized trust region SQP algorithm for equality constrained optimization.” 2004. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/18720.

MLA Handbook (7^{th} Edition):

Wang, Zhen. “A generalized trust region SQP algorithm for equality constrained optimization.” 2004. Web. 13 Apr 2021.

Vancouver:

Wang Z. A generalized trust region SQP algorithm for equality constrained optimization. [Internet] [Doctoral dissertation]. Rice University; 2004. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/18720.

Council of Science Editors:

Wang Z. A generalized trust region SQP algorithm for equality constrained optimization. [Doctoral Dissertation]. Rice University; 2004. Available from: http://hdl.handle.net/1911/18720

Rice University

25. Green, Kary. Optimal sensor placement for parameter identification.

Degree: MA, Engineering, 2007, Rice University

URL: http://hdl.handle.net/1911/20506

► This thesis surveys methods for determining sensor locations which maximize the achievable accuracy in parameter estimation of differential equations. The approach considers the placement of…
(more)

Subjects/Keywords: Mathematics; Statistics; System science

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APA (6^{th} Edition):

Green, K. (2007). Optimal sensor placement for parameter identification. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/20506

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

Green, Kary. “Optimal sensor placement for parameter identification.” 2007. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/20506.

MLA Handbook (7^{th} Edition):

Green, Kary. “Optimal sensor placement for parameter identification.” 2007. Web. 13 Apr 2021.

Vancouver:

Green K. Optimal sensor placement for parameter identification. [Internet] [Masters thesis]. Rice University; 2007. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/20506.

Council of Science Editors:

Green K. Optimal sensor placement for parameter identification. [Masters Thesis]. Rice University; 2007. Available from: http://hdl.handle.net/1911/20506

Rice University

26. Howard, Patricia A. Multigrid methods for elliptic optimal control problems.

Degree: MA, Natural Sciences, 2007, Rice University

URL: http://hdl.handle.net/1911/20561

► Linear-quadratic optimal control problems governed by elliptic partial differential equations arise in a, variety of applications. The optimality conditions for these problems lead to large…
(more)

Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Howard, P. A. (2007). Multigrid methods for elliptic optimal control problems. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/20561

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

Howard, Patricia A. “Multigrid methods for elliptic optimal control problems.” 2007. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/20561.

MLA Handbook (7^{th} Edition):

Howard, Patricia A. “Multigrid methods for elliptic optimal control problems.” 2007. Web. 13 Apr 2021.

Vancouver:

Howard PA. Multigrid methods for elliptic optimal control problems. [Internet] [Masters thesis]. Rice University; 2007. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/20561.

Council of Science Editors:

Howard PA. Multigrid methods for elliptic optimal control problems. [Masters Thesis]. Rice University; 2007. Available from: http://hdl.handle.net/1911/20561

27. Dash, Debashis. Distributed Resource Allocation with Local Information.

Degree: PhD, Engineering, 2013, Rice University

URL: http://hdl.handle.net/1911/76704

► Making distributed decisions based on incomplete information is inevitable in dynamic wireless networks due to a multitude of constraints. We study the effects of incomplete…
(more)

Subjects/Keywords: Channel capacity; Game theory; Cognitive radio; Graph coloring; Information theory

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APA (6^{th} Edition):

Dash, D. (2013). Distributed Resource Allocation with Local Information. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/76704

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

Dash, Debashis. “Distributed Resource Allocation with Local Information.” 2013. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/76704.

MLA Handbook (7^{th} Edition):

Dash, Debashis. “Distributed Resource Allocation with Local Information.” 2013. Web. 13 Apr 2021.

Vancouver:

Dash D. Distributed Resource Allocation with Local Information. [Internet] [Doctoral dissertation]. Rice University; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/76704.

Council of Science Editors:

Dash D. Distributed Resource Allocation with Local Information. [Doctoral Dissertation]. Rice University; 2013. Available from: http://hdl.handle.net/1911/76704

28. Sun, Dong. A Nonlinear Differential Semblance Algorithm for Waveform Inversion.

Degree: PhD, Engineering, 2013, Rice University

URL: http://hdl.handle.net/1911/71694

► This thesis proposes a nonlinear differential semblance approach to full waveform inversion as an alternative to standard least squares inversion, which cannot guarantee a reliable…
(more)

Subjects/Keywords: Waveform inversion; Nonlinear differential semblance optimization; Extended modeling; Low-frequency control

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APA (6^{th} Edition):

Sun, D. (2013). A Nonlinear Differential Semblance Algorithm for Waveform Inversion. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/71694

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

Sun, Dong. “A Nonlinear Differential Semblance Algorithm for Waveform Inversion.” 2013. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/71694.

MLA Handbook (7^{th} Edition):

Sun, Dong. “A Nonlinear Differential Semblance Algorithm for Waveform Inversion.” 2013. Web. 13 Apr 2021.

Vancouver:

Sun D. A Nonlinear Differential Semblance Algorithm for Waveform Inversion. [Internet] [Doctoral dissertation]. Rice University; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/71694.

Council of Science Editors:

Sun D. A Nonlinear Differential Semblance Algorithm for Waveform Inversion. [Doctoral Dissertation]. Rice University; 2013. Available from: http://hdl.handle.net/1911/71694

29. Li, Jizhou. Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity.

Degree: MA, Engineering, 2013, Rice University

URL: http://hdl.handle.net/1911/71985

► The miscible displacement equations provide the mathematical model for simulating the displacement of a mixture of oil and miscible fluid in underground reservoirs during the…
(more)

Subjects/Keywords: Discontinuous Galerkin; Miscible displacement; Low regularity; High order time discretization; Mixed finite element method; Stability; Compactness

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

APA (6^{th} Edition):

Li, J. (2013). Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/71985

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

Li, Jizhou. “Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity.” 2013. Masters Thesis, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/71985.

MLA Handbook (7^{th} Edition):

Li, Jizhou. “Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity.” 2013. Web. 13 Apr 2021.

Vancouver:

Li J. Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity. [Internet] [Masters thesis]. Rice University; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/71985.

Council of Science Editors:

Li J. Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity. [Masters Thesis]. Rice University; 2013. Available from: http://hdl.handle.net/1911/71985

30. Liu, Kun. Discontinuous Galerkin Methods for Parabolic Partial Differential Equations with Random Input Data.

Degree: PhD, Engineering, 2013, Rice University

URL: http://hdl.handle.net/1911/71989

► This thesis discusses and develops one approach to solve parabolic partial differential equations with random input data. The stochastic problem is firstly transformed into a…
(more)

Subjects/Keywords: Parabolic PDEs; Monte Carlo Discontinuous Galerkin; Locally mass conservation; Random input data; Kernel PCA; Random permeability; Darcy's Law; Coupled flow and transport

…Research
Computing Support Group at *Rice* *University* is used to do Monte Carlo simulations.
A…

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

APA (6^{th} Edition):

Liu, K. (2013). Discontinuous Galerkin Methods for Parabolic Partial Differential Equations with Random Input Data. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/71989

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

Liu, Kun. “Discontinuous Galerkin Methods for Parabolic Partial Differential Equations with Random Input Data.” 2013. Doctoral Dissertation, Rice University. Accessed April 13, 2021. http://hdl.handle.net/1911/71989.

MLA Handbook (7^{th} Edition):

Liu, Kun. “Discontinuous Galerkin Methods for Parabolic Partial Differential Equations with Random Input Data.” 2013. Web. 13 Apr 2021.

Vancouver:

Liu K. Discontinuous Galerkin Methods for Parabolic Partial Differential Equations with Random Input Data. [Internet] [Doctoral dissertation]. Rice University; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/1911/71989.

Council of Science Editors:

Liu K. Discontinuous Galerkin Methods for Parabolic Partial Differential Equations with Random Input Data. [Doctoral Dissertation]. Rice University; 2013. Available from: http://hdl.handle.net/1911/71989