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You searched for +publisher:"Brown University" +contributor:("Shu, Chi-Wang"). Showing records 1 – 22 of 22 total matches.

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1. Zhu, Xueyu. Reduced basis methods and their applications.

Degree: PhD, Applied Mathematics, 2013, Brown University

 This thesis presents several model reduction techniques that achieve a comparable accuracy with much less computational cost compared to that of high fidelity numerical simulation.… (more)

Subjects/Keywords: reduced basis methods; model reduction

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APA (6th Edition):

Zhu, X. (2013). Reduced basis methods and their applications. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:320599/

Chicago Manual of Style (16th Edition):

Zhu, Xueyu. “Reduced basis methods and their applications.” 2013. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:320599/.

MLA Handbook (7th Edition):

Zhu, Xueyu. “Reduced basis methods and their applications.” 2013. Web. 18 Jan 2021.

Vancouver:

Zhu X. Reduced basis methods and their applications. [Internet] [Doctoral dissertation]. Brown University; 2013. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:320599/.

Council of Science Editors:

Zhu X. Reduced basis methods and their applications. [Doctoral Dissertation]. Brown University; 2013. Available from: https://repository.library.brown.edu/studio/item/bdr:320599/

2. Roy, Ishani. High Order WENO Scheme for Computational Cosmology.

Degree: PhD, Applied Mathematics, 2010, Brown University

 This dissertation focuses on the analysis and computation of a certain high order accurate numerical scheme which is used to solve problems in computational Cosmology.… (more)

Subjects/Keywords: Higher order schemes

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APA (6th Edition):

Roy, I. (2010). High Order WENO Scheme for Computational Cosmology. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:11043/

Chicago Manual of Style (16th Edition):

Roy, Ishani. “High Order WENO Scheme for Computational Cosmology.” 2010. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:11043/.

MLA Handbook (7th Edition):

Roy, Ishani. “High Order WENO Scheme for Computational Cosmology.” 2010. Web. 18 Jan 2021.

Vancouver:

Roy I. High Order WENO Scheme for Computational Cosmology. [Internet] [Doctoral dissertation]. Brown University; 2010. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:11043/.

Council of Science Editors:

Roy I. High Order WENO Scheme for Computational Cosmology. [Doctoral Dissertation]. Brown University; 2010. Available from: https://repository.library.brown.edu/studio/item/bdr:11043/

3. Pazner, Will. Efficient solvers and preconditioners for the implicit time integration of discontinuous Galerkin methods.

Degree: Department of Applied Mathematics, 2018, Brown University

 In this work, we develop and analyze solvers and preconditioners designed for the implicit time integration of discontinuous Galerkin (DG) discretizations. The discontinuous Galerkin method… (more)

Subjects/Keywords: discontinous Gakerkin method

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APA (6th Edition):

Pazner, W. (2018). Efficient solvers and preconditioners for the implicit time integration of discontinuous Galerkin methods. (Thesis). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:792810/

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

Chicago Manual of Style (16th Edition):

Pazner, Will. “Efficient solvers and preconditioners for the implicit time integration of discontinuous Galerkin methods.” 2018. Thesis, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:792810/.

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

MLA Handbook (7th Edition):

Pazner, Will. “Efficient solvers and preconditioners for the implicit time integration of discontinuous Galerkin methods.” 2018. Web. 18 Jan 2021.

Vancouver:

Pazner W. Efficient solvers and preconditioners for the implicit time integration of discontinuous Galerkin methods. [Internet] [Thesis]. Brown University; 2018. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:792810/.

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

Council of Science Editors:

Pazner W. Efficient solvers and preconditioners for the implicit time integration of discontinuous Galerkin methods. [Thesis]. Brown University; 2018. Available from: https://repository.library.brown.edu/studio/item/bdr:792810/

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

4. Narayan, Akil. A Generalization of the Wiener Rational Basis Functions on In?nite Intervals.

Degree: PhD, Applied Mathematics, 2009, Brown University

 This thesis concerns the formulation and derivation of a generalization of a collection of basis functions originally devised by Norbert Wiener for function approximation over… (more)

Subjects/Keywords: wiener functions

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APA (6th Edition):

Narayan, A. (2009). A Generalization of the Wiener Rational Basis Functions on In?nite Intervals. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:99/

Chicago Manual of Style (16th Edition):

Narayan, Akil. “A Generalization of the Wiener Rational Basis Functions on In?nite Intervals.” 2009. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:99/.

MLA Handbook (7th Edition):

Narayan, Akil. “A Generalization of the Wiener Rational Basis Functions on In?nite Intervals.” 2009. Web. 18 Jan 2021.

Vancouver:

Narayan A. A Generalization of the Wiener Rational Basis Functions on In?nite Intervals. [Internet] [Doctoral dissertation]. Brown University; 2009. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:99/.

Council of Science Editors:

Narayan A. A Generalization of the Wiener Rational Basis Functions on In?nite Intervals. [Doctoral Dissertation]. Brown University; 2009. Available from: https://repository.library.brown.edu/studio/item/bdr:99/

5. Zhang, Xiangxiong. Maximum-Principle-Satisfying and Positivity-Preserving High Order Schemes for Conservation Laws.

Degree: PhD, Mathematics, 2011, Brown University

 This dissertation presents high order schemes for conservation laws which are, total-variation-diminishing for the one-dimensional scalar case,maximum-principle-satisfying for the multi-dimensional scalar case and positivity-preserving for… (more)

Subjects/Keywords: Maximum-Principle-Satisfying

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APA (6th Edition):

Zhang, X. (2011). Maximum-Principle-Satisfying and Positivity-Preserving High Order Schemes for Conservation Laws. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:11274/

Chicago Manual of Style (16th Edition):

Zhang, Xiangxiong. “Maximum-Principle-Satisfying and Positivity-Preserving High Order Schemes for Conservation Laws.” 2011. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:11274/.

MLA Handbook (7th Edition):

Zhang, Xiangxiong. “Maximum-Principle-Satisfying and Positivity-Preserving High Order Schemes for Conservation Laws.” 2011. Web. 18 Jan 2021.

Vancouver:

Zhang X. Maximum-Principle-Satisfying and Positivity-Preserving High Order Schemes for Conservation Laws. [Internet] [Doctoral dissertation]. Brown University; 2011. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:11274/.

Council of Science Editors:

Zhang X. Maximum-Principle-Satisfying and Positivity-Preserving High Order Schemes for Conservation Laws. [Doctoral Dissertation]. Brown University; 2011. Available from: https://repository.library.brown.edu/studio/item/bdr:11274/

6. Shi, Cengke. Numerical Methods for Hyperbolic Equations: Generalized Definition of Local Conservation and Discontinuous Galerkin Methods for Maxwell's equations in Drude Metamaterials.

Degree: Department of Applied Mathematics, 2018, Brown University

 This dissertation presents two topics on numerical solutions solving hyperbolic equations from both theoretical and practical points of view. In the first part, we introduce… (more)

Subjects/Keywords: Discontinuous Galerkin Methods

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APA (6th Edition):

Shi, C. (2018). Numerical Methods for Hyperbolic Equations: Generalized Definition of Local Conservation and Discontinuous Galerkin Methods for Maxwell's equations in Drude Metamaterials. (Thesis). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:792729/

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

Chicago Manual of Style (16th Edition):

Shi, Cengke. “Numerical Methods for Hyperbolic Equations: Generalized Definition of Local Conservation and Discontinuous Galerkin Methods for Maxwell's equations in Drude Metamaterials.” 2018. Thesis, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:792729/.

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

MLA Handbook (7th Edition):

Shi, Cengke. “Numerical Methods for Hyperbolic Equations: Generalized Definition of Local Conservation and Discontinuous Galerkin Methods for Maxwell's equations in Drude Metamaterials.” 2018. Web. 18 Jan 2021.

Vancouver:

Shi C. Numerical Methods for Hyperbolic Equations: Generalized Definition of Local Conservation and Discontinuous Galerkin Methods for Maxwell's equations in Drude Metamaterials. [Internet] [Thesis]. Brown University; 2018. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:792729/.

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

Council of Science Editors:

Shi C. Numerical Methods for Hyperbolic Equations: Generalized Definition of Local Conservation and Discontinuous Galerkin Methods for Maxwell's equations in Drude Metamaterials. [Thesis]. Brown University; 2018. Available from: https://repository.library.brown.edu/studio/item/bdr:792729/

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

7. Kloeckner, Andreas P. High-Performance High-Order Simulation of Wave and Plasma Phenomena.

Degree: PhD, Applied Mathematics, 2010, Brown University

 This thesis presents results aiming to enhance and broaden the applicability of the discontinuous Galerkin (''DG'') method in a variety of ways. DG was chosen… (more)

Subjects/Keywords: Discontinuous Galerkin

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APA (6th Edition):

Kloeckner, A. P. (2010). High-Performance High-Order Simulation of Wave and Plasma Phenomena. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:11066/

Chicago Manual of Style (16th Edition):

Kloeckner, Andreas P. “High-Performance High-Order Simulation of Wave and Plasma Phenomena.” 2010. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:11066/.

MLA Handbook (7th Edition):

Kloeckner, Andreas P. “High-Performance High-Order Simulation of Wave and Plasma Phenomena.” 2010. Web. 18 Jan 2021.

Vancouver:

Kloeckner AP. High-Performance High-Order Simulation of Wave and Plasma Phenomena. [Internet] [Doctoral dissertation]. Brown University; 2010. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:11066/.

Council of Science Editors:

Kloeckner AP. High-Performance High-Order Simulation of Wave and Plasma Phenomena. [Doctoral Dissertation]. Brown University; 2010. Available from: https://repository.library.brown.edu/studio/item/bdr:11066/

8. Chen, Zheng. Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities.

Degree: PhD, Applied Mathematics, 2014, Brown University

 This thesis presents the methodologies to recover exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities. The results imply that the… (more)

Subjects/Keywords: Spectral method; Exponential accuracy; Singularities; Collocation; Gaussian points; Fourier coefficients; Gegenbauer expansion; Transport equation; Singular initial conditions.

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APA (6th Edition):

Chen, Z. (2014). Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:386214/

Chicago Manual of Style (16th Edition):

Chen, Zheng. “Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities.” 2014. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:386214/.

MLA Handbook (7th Edition):

Chen, Zheng. “Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities.” 2014. Web. 18 Jan 2021.

Vancouver:

Chen Z. Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities. [Internet] [Doctoral dissertation]. Brown University; 2014. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:386214/.

Council of Science Editors:

Chen Z. Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities. [Doctoral Dissertation]. Brown University; 2014. Available from: https://repository.library.brown.edu/studio/item/bdr:386214/

9. Wu, Lei. From Kinetic Theory to Fluid Mechanics: Viscous Surface Wave and Hydrodynamic Limit.

Degree: PhD, Applied Mathematics, 2015, Brown University

 In this dissertation, we mainly discuss two topics of partial differential equations in fluid dynamics and kinetic theory: viscous surface wave and diffusive limit. With… (more)

Subjects/Keywords: free surface

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APA (6th Edition):

Wu, L. (2015). From Kinetic Theory to Fluid Mechanics: Viscous Surface Wave and Hydrodynamic Limit. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:419456/

Chicago Manual of Style (16th Edition):

Wu, Lei. “From Kinetic Theory to Fluid Mechanics: Viscous Surface Wave and Hydrodynamic Limit.” 2015. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:419456/.

MLA Handbook (7th Edition):

Wu, Lei. “From Kinetic Theory to Fluid Mechanics: Viscous Surface Wave and Hydrodynamic Limit.” 2015. Web. 18 Jan 2021.

Vancouver:

Wu L. From Kinetic Theory to Fluid Mechanics: Viscous Surface Wave and Hydrodynamic Limit. [Internet] [Doctoral dissertation]. Brown University; 2015. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:419456/.

Council of Science Editors:

Wu L. From Kinetic Theory to Fluid Mechanics: Viscous Surface Wave and Hydrodynamic Limit. [Doctoral Dissertation]. Brown University; 2015. Available from: https://repository.library.brown.edu/studio/item/bdr:419456/

10. Yang, Yang. High order numerical methods for hyperbolic equations: superconvergence, and applications to δ-singularities and cosmology.

Degree: PhD, Applied Mathematics, 2013, Brown University

 Part I introduces the discontinuous Galerkin (DG) method for solving hyperbolic equations. The introduction and the DG scheme will be given in the first two… (more)

Subjects/Keywords: Discontinuous Galerkin method

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APA (6th Edition):

Yang, Y. (2013). High order numerical methods for hyperbolic equations: superconvergence, and applications to δ-singularities and cosmology. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:320577/

Chicago Manual of Style (16th Edition):

Yang, Yang. “High order numerical methods for hyperbolic equations: superconvergence, and applications to δ-singularities and cosmology.” 2013. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:320577/.

MLA Handbook (7th Edition):

Yang, Yang. “High order numerical methods for hyperbolic equations: superconvergence, and applications to δ-singularities and cosmology.” 2013. Web. 18 Jan 2021.

Vancouver:

Yang Y. High order numerical methods for hyperbolic equations: superconvergence, and applications to δ-singularities and cosmology. [Internet] [Doctoral dissertation]. Brown University; 2013. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:320577/.

Council of Science Editors:

Yang Y. High order numerical methods for hyperbolic equations: superconvergence, and applications to δ-singularities and cosmology. [Doctoral Dissertation]. Brown University; 2013. Available from: https://repository.library.brown.edu/studio/item/bdr:320577/

11. Martinelli, Sheri L. A Level-Sets-Based Wavefront Propagation Method for Underwater Acoustics.

Degree: PhD, Applied Mathematics, 2012, Brown University

 Computer models for underwater sound propagation often rely on ray tracing to obtain solutions to the high frequency wave equation. While adequate for large scale… (more)

Subjects/Keywords: high frequency acoustics

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APA (6th Edition):

Martinelli, S. L. (2012). A Level-Sets-Based Wavefront Propagation Method for Underwater Acoustics. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:297523/

Chicago Manual of Style (16th Edition):

Martinelli, Sheri L. “A Level-Sets-Based Wavefront Propagation Method for Underwater Acoustics.” 2012. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:297523/.

MLA Handbook (7th Edition):

Martinelli, Sheri L. “A Level-Sets-Based Wavefront Propagation Method for Underwater Acoustics.” 2012. Web. 18 Jan 2021.

Vancouver:

Martinelli SL. A Level-Sets-Based Wavefront Propagation Method for Underwater Acoustics. [Internet] [Doctoral dissertation]. Brown University; 2012. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:297523/.

Council of Science Editors:

Martinelli SL. A Level-Sets-Based Wavefront Propagation Method for Underwater Acoustics. [Doctoral Dissertation]. Brown University; 2012. Available from: https://repository.library.brown.edu/studio/item/bdr:297523/

12. Schiemenz, Alan R. Advances in the Discontinuous Galerkin Method: Hybrid Schemes and Applications to the Reactive Infiltration Instability in an Upwelling Compacting Mantle.

Degree: PhD, Applied Mathematics, 2009, Brown University

 High-order methods are emerging in the scientific computing community as superior alternatives to the classical finite difference, finite volume, and continuous finite element methods. The… (more)

Subjects/Keywords: discontinuous Galerkin method

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APA (6th Edition):

Schiemenz, A. R. (2009). Advances in the Discontinuous Galerkin Method: Hybrid Schemes and Applications to the Reactive Infiltration Instability in an Upwelling Compacting Mantle. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:153/

Chicago Manual of Style (16th Edition):

Schiemenz, Alan R. “Advances in the Discontinuous Galerkin Method: Hybrid Schemes and Applications to the Reactive Infiltration Instability in an Upwelling Compacting Mantle.” 2009. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:153/.

MLA Handbook (7th Edition):

Schiemenz, Alan R. “Advances in the Discontinuous Galerkin Method: Hybrid Schemes and Applications to the Reactive Infiltration Instability in an Upwelling Compacting Mantle.” 2009. Web. 18 Jan 2021.

Vancouver:

Schiemenz AR. Advances in the Discontinuous Galerkin Method: Hybrid Schemes and Applications to the Reactive Infiltration Instability in an Upwelling Compacting Mantle. [Internet] [Doctoral dissertation]. Brown University; 2009. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:153/.

Council of Science Editors:

Schiemenz AR. Advances in the Discontinuous Galerkin Method: Hybrid Schemes and Applications to the Reactive Infiltration Instability in an Upwelling Compacting Mantle. [Doctoral Dissertation]. Brown University; 2009. Available from: https://repository.library.brown.edu/studio/item/bdr:153/

13. Zhong, Xinghui. Wave Resolution Properties and Weighted Essentially Non-Oscillatory Limiter for Discontinuous Galerkin Methods.

Degree: PhD, Applied Mathematics, 2012, Brown University

 This dissertation presents wave resolution properties and weighted essentially non-oscillatory limiter for discontinuous Galerkin methods solving hyperbolic conservation laws. In this dissertation, using Fourier analysis,… (more)

Subjects/Keywords: discontinuous Galerkin method

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APA (6th Edition):

Zhong, X. (2012). Wave Resolution Properties and Weighted Essentially Non-Oscillatory Limiter for Discontinuous Galerkin Methods. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:297526/

Chicago Manual of Style (16th Edition):

Zhong, Xinghui. “Wave Resolution Properties and Weighted Essentially Non-Oscillatory Limiter for Discontinuous Galerkin Methods.” 2012. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:297526/.

MLA Handbook (7th Edition):

Zhong, Xinghui. “Wave Resolution Properties and Weighted Essentially Non-Oscillatory Limiter for Discontinuous Galerkin Methods.” 2012. Web. 18 Jan 2021.

Vancouver:

Zhong X. Wave Resolution Properties and Weighted Essentially Non-Oscillatory Limiter for Discontinuous Galerkin Methods. [Internet] [Doctoral dissertation]. Brown University; 2012. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:297526/.

Council of Science Editors:

Zhong X. Wave Resolution Properties and Weighted Essentially Non-Oscillatory Limiter for Discontinuous Galerkin Methods. [Doctoral Dissertation]. Brown University; 2012. Available from: https://repository.library.brown.edu/studio/item/bdr:297526/

14. TAN, SIRUI. Boundary conditions and applications of WENO finite difference schemes for hyperbolic problems.

Degree: PhD, Applied Mathematics, 2012, Brown University

 This dissertation presents two topics concerning weighted essentially non-oscillatory (WENO) finite difference schemes for solving hyperbolic problems. In the first part, we develop a high… (more)

Subjects/Keywords: WENO schemes

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APA (6th Edition):

TAN, S. (2012). Boundary conditions and applications of WENO finite difference schemes for hyperbolic problems. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:297524/

Chicago Manual of Style (16th Edition):

TAN, SIRUI. “Boundary conditions and applications of WENO finite difference schemes for hyperbolic problems.” 2012. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:297524/.

MLA Handbook (7th Edition):

TAN, SIRUI. “Boundary conditions and applications of WENO finite difference schemes for hyperbolic problems.” 2012. Web. 18 Jan 2021.

Vancouver:

TAN S. Boundary conditions and applications of WENO finite difference schemes for hyperbolic problems. [Internet] [Doctoral dissertation]. Brown University; 2012. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:297524/.

Council of Science Editors:

TAN S. Boundary conditions and applications of WENO finite difference schemes for hyperbolic problems. [Doctoral Dissertation]. Brown University; 2012. Available from: https://repository.library.brown.edu/studio/item/bdr:297524/

15. Zhang, Yifan. Discontinuous Galerkin Methods for Convection Diffusion Equations: Positivity Preserving and Multi-scale Resolution.

Degree: PhD, Applied Mathematics, 2013, Brown University

 This dissertation focuses on studies of two different discontinuous Galerkin (DG) methods for general convection-diffusion equations. One preserves the strict maximum principle for general nonlinear… (more)

Subjects/Keywords: Discontinuous Galerkin method

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APA (6th Edition):

Zhang, Y. (2013). Discontinuous Galerkin Methods for Convection Diffusion Equations: Positivity Preserving and Multi-scale Resolution. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:320595/

Chicago Manual of Style (16th Edition):

Zhang, Yifan. “Discontinuous Galerkin Methods for Convection Diffusion Equations: Positivity Preserving and Multi-scale Resolution.” 2013. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:320595/.

MLA Handbook (7th Edition):

Zhang, Yifan. “Discontinuous Galerkin Methods for Convection Diffusion Equations: Positivity Preserving and Multi-scale Resolution.” 2013. Web. 18 Jan 2021.

Vancouver:

Zhang Y. Discontinuous Galerkin Methods for Convection Diffusion Equations: Positivity Preserving and Multi-scale Resolution. [Internet] [Doctoral dissertation]. Brown University; 2013. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:320595/.

Council of Science Editors:

Zhang Y. Discontinuous Galerkin Methods for Convection Diffusion Equations: Positivity Preserving and Multi-scale Resolution. [Doctoral Dissertation]. Brown University; 2013. Available from: https://repository.library.brown.edu/studio/item/bdr:320595/

16. Trask, Nathaniel A. Compatible high-order meshless schemes for viscous flows through l2 optimization.

Degree: PhD, Applied Mathematics, 2015, Brown University

 Meshless methods provide an ideal framework for scalably simulating Lagrangian hydrodynamics in domains undergoing large deformation. For these schemes, interfaces can easily be treated without… (more)

Subjects/Keywords: compatible discretization

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APA (6th Edition):

Trask, N. A. (2015). Compatible high-order meshless schemes for viscous flows through l2 optimization. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:674174/

Chicago Manual of Style (16th Edition):

Trask, Nathaniel A. “Compatible high-order meshless schemes for viscous flows through l2 optimization.” 2015. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:674174/.

MLA Handbook (7th Edition):

Trask, Nathaniel A. “Compatible high-order meshless schemes for viscous flows through l2 optimization.” 2015. Web. 18 Jan 2021.

Vancouver:

Trask NA. Compatible high-order meshless schemes for viscous flows through l2 optimization. [Internet] [Doctoral dissertation]. Brown University; 2015. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:674174/.

Council of Science Editors:

Trask NA. Compatible high-order meshless schemes for viscous flows through l2 optimization. [Doctoral Dissertation]. Brown University; 2015. Available from: https://repository.library.brown.edu/studio/item/bdr:674174/

17. Qin, Tong. Positivity-Preserving High-Order Discontinuous Galerkin Methods: Implicit Time Stepping and Applications to Relativistic Hydrodynamics.

Degree: Department of Applied Mathematics, 2017, Brown University

 The positivity-preserving property is a highly desirable property when designing high order numerical methods for hyperbolic conservation laws, since negative values sometimes cause ill-posedness of… (more)

Subjects/Keywords: Numerical Anlaysis

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

APA (6th Edition):

Qin, T. (2017). Positivity-Preserving High-Order Discontinuous Galerkin Methods: Implicit Time Stepping and Applications to Relativistic Hydrodynamics. (Thesis). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:733482/

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

Chicago Manual of Style (16th Edition):

Qin, Tong. “Positivity-Preserving High-Order Discontinuous Galerkin Methods: Implicit Time Stepping and Applications to Relativistic Hydrodynamics.” 2017. Thesis, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:733482/.

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

MLA Handbook (7th Edition):

Qin, Tong. “Positivity-Preserving High-Order Discontinuous Galerkin Methods: Implicit Time Stepping and Applications to Relativistic Hydrodynamics.” 2017. Web. 18 Jan 2021.

Vancouver:

Qin T. Positivity-Preserving High-Order Discontinuous Galerkin Methods: Implicit Time Stepping and Applications to Relativistic Hydrodynamics. [Internet] [Thesis]. Brown University; 2017. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:733482/.

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

Council of Science Editors:

Qin T. Positivity-Preserving High-Order Discontinuous Galerkin Methods: Implicit Time Stepping and Applications to Relativistic Hydrodynamics. [Thesis]. Brown University; 2017. Available from: https://repository.library.brown.edu/studio/item/bdr:733482/

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

18. Luo, Xian. A spectral element/smoothed profile method for complex-geometry flows.

Degree: PhD, Applied Mathematics, 2009, Brown University

 We combine the spectral element method with the smoothed profile method (SPM) to obtain an efficient method for flows with moving boundaries in complex geometries.… (more)

Subjects/Keywords: modeling method for particulate flows; electrokinetic flows

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APA (6th Edition):

Luo, X. (2009). A spectral element/smoothed profile method for complex-geometry flows. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:167/

Chicago Manual of Style (16th Edition):

Luo, Xian. “A spectral element/smoothed profile method for complex-geometry flows.” 2009. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:167/.

MLA Handbook (7th Edition):

Luo, Xian. “A spectral element/smoothed profile method for complex-geometry flows.” 2009. Web. 18 Jan 2021.

Vancouver:

Luo X. A spectral element/smoothed profile method for complex-geometry flows. [Internet] [Doctoral dissertation]. Brown University; 2009. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:167/.

Council of Science Editors:

Luo X. A spectral element/smoothed profile method for complex-geometry flows. [Doctoral Dissertation]. Brown University; 2009. Available from: https://repository.library.brown.edu/studio/item/bdr:167/

19. Baek, Hyoungsu. A Spectral Element Method for Fluid-Structure Interaction : New Algorithm and Applications to Intracranial Aneurysms.

Degree: PhD, Applied Mathematics, 2010, Brown University

 The first part of the thesis presents the surface respresentation of blood vessel walls extracted from medical images, sensitivity to the inlet/outlet boundary conditions, and… (more)

Subjects/Keywords: spectral method

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

APA (6th Edition):

Baek, H. (2010). A Spectral Element Method for Fluid-Structure Interaction : New Algorithm and Applications to Intracranial Aneurysms. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:11114/

Chicago Manual of Style (16th Edition):

Baek, Hyoungsu. “A Spectral Element Method for Fluid-Structure Interaction : New Algorithm and Applications to Intracranial Aneurysms.” 2010. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:11114/.

MLA Handbook (7th Edition):

Baek, Hyoungsu. “A Spectral Element Method for Fluid-Structure Interaction : New Algorithm and Applications to Intracranial Aneurysms.” 2010. Web. 18 Jan 2021.

Vancouver:

Baek H. A Spectral Element Method for Fluid-Structure Interaction : New Algorithm and Applications to Intracranial Aneurysms. [Internet] [Doctoral dissertation]. Brown University; 2010. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:11114/.

Council of Science Editors:

Baek H. A Spectral Element Method for Fluid-Structure Interaction : New Algorithm and Applications to Intracranial Aneurysms. [Doctoral Dissertation]. Brown University; 2010. Available from: https://repository.library.brown.edu/studio/item/bdr:11114/

20. Wang, Wei. Multiscale discontinuous Galerkin methods and applications.

Degree: PhD, Applied Mathematics, 2008, Brown University

 This thesis contains three related topics on the multiscale discontinuous Galerkin (DG) methods and applications. In the first part, we present a multiscale model for… (more)

Subjects/Keywords: multiscale

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

APA (6th Edition):

Wang, W. (2008). Multiscale discontinuous Galerkin methods and applications. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:259/

Chicago Manual of Style (16th Edition):

Wang, Wei. “Multiscale discontinuous Galerkin methods and applications.” 2008. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:259/.

MLA Handbook (7th Edition):

Wang, Wei. “Multiscale discontinuous Galerkin methods and applications.” 2008. Web. 18 Jan 2021.

Vancouver:

Wang W. Multiscale discontinuous Galerkin methods and applications. [Internet] [Doctoral dissertation]. Brown University; 2008. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:259/.

Council of Science Editors:

Wang W. Multiscale discontinuous Galerkin methods and applications. [Doctoral Dissertation]. Brown University; 2008. Available from: https://repository.library.brown.edu/studio/item/bdr:259/

21. Chun, Sehun. High-order Accurate Methods for solving Maxwell's equations and their applications.

Degree: PhD, Applied Mathematics, 2008, Brown University

 This thesis contains two topics on high-order accurate methods for solving Maxwell's equations. The first topic is the application of high-order accurate methods to the… (more)

Subjects/Keywords: Discontinuous Galerkin method

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APA (6th Edition):

Chun, S. (2008). High-order Accurate Methods for solving Maxwell's equations and their applications. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:279/

Chicago Manual of Style (16th Edition):

Chun, Sehun. “High-order Accurate Methods for solving Maxwell's equations and their applications.” 2008. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:279/.

MLA Handbook (7th Edition):

Chun, Sehun. “High-order Accurate Methods for solving Maxwell's equations and their applications.” 2008. Web. 18 Jan 2021.

Vancouver:

Chun S. High-order Accurate Methods for solving Maxwell's equations and their applications. [Internet] [Doctoral dissertation]. Brown University; 2008. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:279/.

Council of Science Editors:

Chun S. High-order Accurate Methods for solving Maxwell's equations and their applications. [Doctoral Dissertation]. Brown University; 2008. Available from: https://repository.library.brown.edu/studio/item/bdr:279/

22. Libertini, Jessica Meade. Determining Tumor Blood Flow Parameters Using Dynamic Imaging Data.

Degree: PhD, Applied Mathematics, 2008, Brown University

 This thesis discusses two topics, both related to the goal of determining tumor blood flow parameters from time-sequenced contrast-enhanced medical imaging data in an effort… (more)

Subjects/Keywords: dynamic imaging

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

APA (6th Edition):

Libertini, J. M. (2008). Determining Tumor Blood Flow Parameters Using Dynamic Imaging Data. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:284/

Chicago Manual of Style (16th Edition):

Libertini, Jessica Meade. “Determining Tumor Blood Flow Parameters Using Dynamic Imaging Data.” 2008. Doctoral Dissertation, Brown University. Accessed January 18, 2021. https://repository.library.brown.edu/studio/item/bdr:284/.

MLA Handbook (7th Edition):

Libertini, Jessica Meade. “Determining Tumor Blood Flow Parameters Using Dynamic Imaging Data.” 2008. Web. 18 Jan 2021.

Vancouver:

Libertini JM. Determining Tumor Blood Flow Parameters Using Dynamic Imaging Data. [Internet] [Doctoral dissertation]. Brown University; 2008. [cited 2021 Jan 18]. Available from: https://repository.library.brown.edu/studio/item/bdr:284/.

Council of Science Editors:

Libertini JM. Determining Tumor Blood Flow Parameters Using Dynamic Imaging Data. [Doctoral Dissertation]. Brown University; 2008. Available from: https://repository.library.brown.edu/studio/item/bdr:284/

.