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University: University of Colorado ^{❌}

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University of Colorado

1. Maiden, Michelle. Dispersive hydrodynamics in viscous fluid conduits.

Degree: PhD, Applied Mathematics, 2019, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/141

► Viscous fluid conduits provide an ideal system for the study of dissipationless, dispersive hydrodynamics. A dense, viscous fluid serves as the background medium through…
(more)

Subjects/Keywords: Fluid Dynamics; Partial Differential Equations

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APA (6^{th} Edition):

Maiden, M. (2019). Dispersive hydrodynamics in viscous fluid conduits. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/141

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

Maiden, Michelle. “Dispersive hydrodynamics in viscous fluid conduits.” 2019. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/appm_gradetds/141.

MLA Handbook (7^{th} Edition):

Maiden, Michelle. “Dispersive hydrodynamics in viscous fluid conduits.” 2019. Web. 20 Aug 2019.

Vancouver:

Maiden M. Dispersive hydrodynamics in viscous fluid conduits. [Internet] [Doctoral dissertation]. University of Colorado; 2019. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/appm_gradetds/141.

Council of Science Editors:

Maiden M. Dispersive hydrodynamics in viscous fluid conduits. [Doctoral Dissertation]. University of Colorado; 2019. Available from: https://scholar.colorado.edu/appm_gradetds/141

University of Colorado

2.
Nardini, John Thomas.
*Partial**Differential* Equation Models of Collective Migration During Wound Healing.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/117

► This dissertation is concerned with the derivation, analysis, and parameter inference of mathematical models of the collective migration of epithelial cells. During the wound…
(more)

Subjects/Keywords: collective migration; inverse problems; partial differential equations; traveling waves; wound healing; Mathematics; Partial Differential Equations

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APA (6^{th} Edition):

Nardini, J. T. (2018). Partial Differential Equation Models of Collective Migration During Wound Healing. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/117

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

Nardini, John Thomas. “Partial Differential Equation Models of Collective Migration During Wound Healing.” 2018. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/appm_gradetds/117.

MLA Handbook (7^{th} Edition):

Nardini, John Thomas. “Partial Differential Equation Models of Collective Migration During Wound Healing.” 2018. Web. 20 Aug 2019.

Vancouver:

Nardini JT. Partial Differential Equation Models of Collective Migration During Wound Healing. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/appm_gradetds/117.

Council of Science Editors:

Nardini JT. Partial Differential Equation Models of Collective Migration During Wound Healing. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/117

University of Colorado

3.
Ma, Chao.
Qualitative and quantitative analysis of nonlinear integral and *differential* * equations*.

Degree: PhD, Mathematics, 2013, University of Colorado

URL: http://scholar.colorado.edu/math_gradetds/21

► This thesis consists of two parts: in part one (Chapter 3, 4, 5), we study the qualitative and quantitative properties of the positive solutions…
(more)

Subjects/Keywords: integral equations; partial differential equations; qualitative analysis; quantitative analysis; Mathematics

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APA (6^{th} Edition):

Ma, C. (2013). Qualitative and quantitative analysis of nonlinear integral and differential equations. (Doctoral Dissertation). University of Colorado. Retrieved from http://scholar.colorado.edu/math_gradetds/21

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

Ma, Chao. “Qualitative and quantitative analysis of nonlinear integral and differential equations.” 2013. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. http://scholar.colorado.edu/math_gradetds/21.

MLA Handbook (7^{th} Edition):

Ma, Chao. “Qualitative and quantitative analysis of nonlinear integral and differential equations.” 2013. Web. 20 Aug 2019.

Vancouver:

Ma C. Qualitative and quantitative analysis of nonlinear integral and differential equations. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2019 Aug 20]. Available from: http://scholar.colorado.edu/math_gradetds/21.

Council of Science Editors:

Ma C. Qualitative and quantitative analysis of nonlinear integral and differential equations. [Doctoral Dissertation]. University of Colorado; 2013. Available from: http://scholar.colorado.edu/math_gradetds/21

University of Colorado

4. Beel, Andrew Christian. Strong Form Meshfree Collocation Method for Higher Order and Nonlinear Pdes in Engineering Applications.

Degree: MS, 2019, University of Colorado

URL: https://scholar.colorado.edu/cven_gradetds/471

► The strong form meshfree collocation method based on Taylor approximation and moving least squares is an alternative to finite element methods for solving *partial* *differential*…
(more)

Subjects/Keywords: collocation; higher-order partial differential equations; meshfree; nonlinear; ocean circulation; thermomechanical contact; Civil Engineering; Partial Differential Equations

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APA (6^{th} Edition):

Beel, A. C. (2019). Strong Form Meshfree Collocation Method for Higher Order and Nonlinear Pdes in Engineering Applications. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/cven_gradetds/471

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

Beel, Andrew Christian. “Strong Form Meshfree Collocation Method for Higher Order and Nonlinear Pdes in Engineering Applications.” 2019. Masters Thesis, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/cven_gradetds/471.

MLA Handbook (7^{th} Edition):

Beel, Andrew Christian. “Strong Form Meshfree Collocation Method for Higher Order and Nonlinear Pdes in Engineering Applications.” 2019. Web. 20 Aug 2019.

Vancouver:

Beel AC. Strong Form Meshfree Collocation Method for Higher Order and Nonlinear Pdes in Engineering Applications. [Internet] [Masters thesis]. University of Colorado; 2019. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/cven_gradetds/471.

Council of Science Editors:

Beel AC. Strong Form Meshfree Collocation Method for Higher Order and Nonlinear Pdes in Engineering Applications. [Masters Thesis]. University of Colorado; 2019. Available from: https://scholar.colorado.edu/cven_gradetds/471

University of Colorado

5.
Gillman, Adrianna.
Fast Direct Solvers for Elliptic *Partial* *Differential* * Equations*.

Degree: PhD, Applied Mathematics, 2011, University of Colorado

URL: http://scholar.colorado.edu/appm_gradetds/20

► The dissertation describes fast, robust, and highly accurate numerical methods for solving boundary value problems associated with elliptic PDEs such as Laplace's and Helmholtz'…
(more)

Subjects/Keywords: Fast methods; Linear algebra; Numerical Analysis; Partial Differential Equations; Applied Mathematics

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APA (6^{th} Edition):

Gillman, A. (2011). Fast Direct Solvers for Elliptic Partial Differential Equations. (Doctoral Dissertation). University of Colorado. Retrieved from http://scholar.colorado.edu/appm_gradetds/20

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

Gillman, Adrianna. “Fast Direct Solvers for Elliptic Partial Differential Equations.” 2011. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. http://scholar.colorado.edu/appm_gradetds/20.

MLA Handbook (7^{th} Edition):

Gillman, Adrianna. “Fast Direct Solvers for Elliptic Partial Differential Equations.” 2011. Web. 20 Aug 2019.

Vancouver:

Gillman A. Fast Direct Solvers for Elliptic Partial Differential Equations. [Internet] [Doctoral dissertation]. University of Colorado; 2011. [cited 2019 Aug 20]. Available from: http://scholar.colorado.edu/appm_gradetds/20.

Council of Science Editors:

Gillman A. Fast Direct Solvers for Elliptic Partial Differential Equations. [Doctoral Dissertation]. University of Colorado; 2011. Available from: http://scholar.colorado.edu/appm_gradetds/20

University of Colorado

6. Barnett, Gregory Allen. A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials.

Degree: PhD, Applied Mathematics, 2015, University of Colorado

URL: http://scholar.colorado.edu/appm_gradetds/66

► We introduce a local method based on radial basis function-generated finite differences (RBFFD) for interpolation and the numerical solution of *partial* *differential* *equations* (PDEs).…
(more)

Subjects/Keywords: partial differential equations; radial basis functions; Applied Mathematics

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APA (6^{th} Edition):

Barnett, G. A. (2015). A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials. (Doctoral Dissertation). University of Colorado. Retrieved from http://scholar.colorado.edu/appm_gradetds/66

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

Barnett, Gregory Allen. “A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials.” 2015. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. http://scholar.colorado.edu/appm_gradetds/66.

MLA Handbook (7^{th} Edition):

Barnett, Gregory Allen. “A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials.” 2015. Web. 20 Aug 2019.

Vancouver:

Barnett GA. A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2019 Aug 20]. Available from: http://scholar.colorado.edu/appm_gradetds/66.

Council of Science Editors:

Barnett GA. A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials. [Doctoral Dissertation]. University of Colorado; 2015. Available from: http://scholar.colorado.edu/appm_gradetds/66

University of Colorado

7. Babb, Tracy. Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems.

Degree: PhD, 2019, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/156

► The dissertation concerns numerical methods for approximately solving certain linear *partial* *differential* *equations*. The foundation is a solution methodology for linear elliptic boundary value…
(more)

Subjects/Keywords: Poincare-steklov; linear partial differential equations; multidomain spectral discretization; Applied Mathematics

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APA (6^{th} Edition):

Babb, T. (2019). Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/156

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

Babb, Tracy. “Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems.” 2019. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/appm_gradetds/156.

MLA Handbook (7^{th} Edition):

Babb, Tracy. “Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems.” 2019. Web. 20 Aug 2019.

Vancouver:

Babb T. Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems. [Internet] [Doctoral dissertation]. University of Colorado; 2019. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/appm_gradetds/156.

Council of Science Editors:

Babb T. Accelerated Time-Stepping of Parabolic and Hyperbolic Pdes Via Fast Direct Solvers for Elliptic Problems. [Doctoral Dissertation]. University of Colorado; 2019. Available from: https://scholar.colorado.edu/appm_gradetds/156

University of Colorado

8. Yang, Xinshuo. Reduction of Multivariate Mixtures and Its Applications.

Degree: PhD, Applied Mathematics, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/139

► We consider a fast deterministic algorithm to identify the "best" linearly independent terms in multivariate mixtures and use them to compute an equivalent representation…
(more)

Subjects/Keywords: multivariate mixtures; reduction algorithms; Hartree-Fock equations; integral equations; far-field summation in high dimensions; kernel density estimation; Numerical Analysis and Computation; Partial Differential Equations

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APA (6^{th} Edition):

Yang, X. (2018). Reduction of Multivariate Mixtures and Its Applications. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/139

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

Yang, Xinshuo. “Reduction of Multivariate Mixtures and Its Applications.” 2018. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/appm_gradetds/139.

MLA Handbook (7^{th} Edition):

Yang, Xinshuo. “Reduction of Multivariate Mixtures and Its Applications.” 2018. Web. 20 Aug 2019.

Vancouver:

Yang X. Reduction of Multivariate Mixtures and Its Applications. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/appm_gradetds/139.

Council of Science Editors:

Yang X. Reduction of Multivariate Mixtures and Its Applications. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/139

University of Colorado

9. Biagioni, David Joseph. Numerical construction of Greenâ€™s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations.

Degree: PhD, Applied Mathematics, 2012, University of Colorado

URL: http://scholar.colorado.edu/appm_gradetds/29

► This thesis consists of two parts. In Part I, we describe an algorithm for approximating the Green's function for elliptic problems with variable coefficients…
(more)

Subjects/Keywords: Curse of dimensionality; Direct Poisson solver; High dimensional partial differential equations; Numerical analysis; Randomized canonical tensor decomposition; Separated representations; Applied Mathematics

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APA (6^{th} Edition):

Biagioni, D. J. (2012). Numerical construction of Greenâ€™s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations. (Doctoral Dissertation). University of Colorado. Retrieved from http://scholar.colorado.edu/appm_gradetds/29

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

Biagioni, David Joseph. “Numerical construction of Greenâ€™s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations.” 2012. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. http://scholar.colorado.edu/appm_gradetds/29.

MLA Handbook (7^{th} Edition):

Biagioni, David Joseph. “Numerical construction of Greenâ€™s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations.” 2012. Web. 20 Aug 2019.

Vancouver:

Biagioni DJ. Numerical construction of Greenâ€™s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2019 Aug 20]. Available from: http://scholar.colorado.edu/appm_gradetds/29.

Council of Science Editors:

Biagioni DJ. Numerical construction of Greenâ€™s functions in high dimensional elliptic problems with variable coefficients and analysis of renewable energy data via sparse and separable approximations. [Doctoral Dissertation]. University of Colorado; 2012. Available from: http://scholar.colorado.edu/appm_gradetds/29

University of Colorado

10.
Hammond, Jason Frank.
Analysis and Simulation of *Partial* *Differential* *Equations* in Mathematical Biology: Applications to Bacterial Biofilms and Fisher's Equation.

Degree: PhD, Applied Mathematics, 2012, University of Colorado

URL: http://scholar.colorado.edu/appm_gradetds/31

► In this dissertation, we investigate two important problems in mathematical biology that are best modeled using *partial* *differential* *equations*. We first consider the question…
(more)

Subjects/Keywords: biofilm; fisher's equation; fluid mechanics; immersed boundary method; painleve; partial differential equations; Applied Mathematics; Biomechanics and Biotransport

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APA (6^{th} Edition):

Hammond, J. F. (2012). Analysis and Simulation of Partial Differential Equations in Mathematical Biology: Applications to Bacterial Biofilms and Fisher's Equation. (Doctoral Dissertation). University of Colorado. Retrieved from http://scholar.colorado.edu/appm_gradetds/31

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

Hammond, Jason Frank. “Analysis and Simulation of Partial Differential Equations in Mathematical Biology: Applications to Bacterial Biofilms and Fisher's Equation.” 2012. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. http://scholar.colorado.edu/appm_gradetds/31.

MLA Handbook (7^{th} Edition):

Hammond, Jason Frank. “Analysis and Simulation of Partial Differential Equations in Mathematical Biology: Applications to Bacterial Biofilms and Fisher's Equation.” 2012. Web. 20 Aug 2019.

Vancouver:

Hammond JF. Analysis and Simulation of Partial Differential Equations in Mathematical Biology: Applications to Bacterial Biofilms and Fisher's Equation. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2019 Aug 20]. Available from: http://scholar.colorado.edu/appm_gradetds/31.

Council of Science Editors:

Hammond JF. Analysis and Simulation of Partial Differential Equations in Mathematical Biology: Applications to Bacterial Biofilms and Fisher's Equation. [Doctoral Dissertation]. University of Colorado; 2012. Available from: http://scholar.colorado.edu/appm_gradetds/31

University of Colorado

11.
Mitchell, Wayne Bradford.
Low-Communication, Parallel Multigrid Algorithms for Elliptic *Partial* *Differential* * Equations*.

Degree: PhD, Applied Mathematics, 2017, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/90

► When solving elliptic *partial* *differential* *equations* (PDE's) multigrid algorithms often provide optimal solvers and preconditioners capable of providing solutions with O(N) computational cost, where…
(more)

Subjects/Keywords: adaptive mesh refinement; algebraic multigrid; domain decomposition; first-order system least-squares; nested iteration; range decomposition; Applied Mathematics; Partial Differential Equations

Record Details Similar Records

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

APA (6^{th} Edition):

Mitchell, W. B. (2017). Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/90

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

Mitchell, Wayne Bradford. “Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations.” 2017. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/appm_gradetds/90.

MLA Handbook (7^{th} Edition):

Mitchell, Wayne Bradford. “Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations.” 2017. Web. 20 Aug 2019.

Vancouver:

Mitchell WB. Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/appm_gradetds/90.

Council of Science Editors:

Mitchell WB. Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/90

University of Colorado

12. Benzaken, Joseph David. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.

Degree: PhD, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/108

► In this dissertation, we present a methodology for understanding the propagation and control of geometric variation in engineering design and analysis. This work is comprised…
(more)

Subjects/Keywords: design space exploration; manifold optimization; parametric partial differential equations; thin shell structures; tolerance allocation protocols; uncertainty quantification; Aerospace Engineering; Applied Mathematics

Record Details Similar Records

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APA (6^{th} Edition):

Benzaken, J. D. (2018). Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/108

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

Benzaken, Joseph David. “Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.” 2018. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/appm_gradetds/108.

MLA Handbook (7^{th} Edition):

Benzaken, Joseph David. “Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis.” 2018. Web. 20 Aug 2019.

Vancouver:

Benzaken JD. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/appm_gradetds/108.

Council of Science Editors:

Benzaken JD. Propagation and Control of Geometric Variation in Engineering Structural Design and Analysis. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/108

University of Colorado

13.
Mitchell, Wayne Bradford.
Low-Communication, Parallel Multigrid Algorithms for Elliptic *Partial* *Differential* * Equations*.

Degree: PhD, 2017, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/126

► When solving elliptic *partial* *differential* *equations* (PDE's) multigrid algorithms often provide optimal solvers and preconditioners capable of providing solutions with <i>O</i>(<i>N</i>) computational cost, where…
(more)

Subjects/Keywords: adaptive mesh refinement; algebraic multigrid; domain decomposition; first-order system least-squares; nested iteration; range decomposition; Applied Mathematics; Partial Differential Equations

Record Details Similar Records

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

APA (6^{th} Edition):

Mitchell, W. B. (2017). Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/126

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

Mitchell, Wayne Bradford. “Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations.” 2017. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/appm_gradetds/126.

MLA Handbook (7^{th} Edition):

Mitchell, Wayne Bradford. “Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations.” 2017. Web. 20 Aug 2019.

Vancouver:

Mitchell WB. Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/appm_gradetds/126.

Council of Science Editors:

Mitchell WB. Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/126

University of Colorado

14. Kong, Fande. A Parallel Implicit Fluid-structure Interaction Solver with Isogeometric Coarse Spaces for 3D Unstructured Mesh Problems with Complex Geometry.

Degree: PhD, Computer Science, 2016, University of Colorado

URL: http://scholar.colorado.edu/csci_gradetds/119

► High-resolution simulation of fluid-structure interaction (FSI) problems on supercomputers has many applications including our targeting application in hemodynamics, but most existing methods and software…
(more)

Subjects/Keywords: Finite element method; Fluid-structure interaction; Mesh coarsening algorithm; Multilevel Schwarz preconditioner; Newton-Krylov-Schwarz; Parallel software development; Numerical Analysis and Scientific Computing; Partial Differential Equations

Record Details Similar Records

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APA (6^{th} Edition):

Kong, F. (2016). A Parallel Implicit Fluid-structure Interaction Solver with Isogeometric Coarse Spaces for 3D Unstructured Mesh Problems with Complex Geometry. (Doctoral Dissertation). University of Colorado. Retrieved from http://scholar.colorado.edu/csci_gradetds/119

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

Kong, Fande. “A Parallel Implicit Fluid-structure Interaction Solver with Isogeometric Coarse Spaces for 3D Unstructured Mesh Problems with Complex Geometry.” 2016. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. http://scholar.colorado.edu/csci_gradetds/119.

MLA Handbook (7^{th} Edition):

Kong, Fande. “A Parallel Implicit Fluid-structure Interaction Solver with Isogeometric Coarse Spaces for 3D Unstructured Mesh Problems with Complex Geometry.” 2016. Web. 20 Aug 2019.

Vancouver:

Kong F. A Parallel Implicit Fluid-structure Interaction Solver with Isogeometric Coarse Spaces for 3D Unstructured Mesh Problems with Complex Geometry. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2019 Aug 20]. Available from: http://scholar.colorado.edu/csci_gradetds/119.

Council of Science Editors:

Kong F. A Parallel Implicit Fluid-structure Interaction Solver with Isogeometric Coarse Spaces for 3D Unstructured Mesh Problems with Complex Geometry. [Doctoral Dissertation]. University of Colorado; 2016. Available from: http://scholar.colorado.edu/csci_gradetds/119

University of Colorado

15.
Mitchell, Wayne.
Low-Communication, Parallel Multigrid Algorithms for Elliptic *Partial* *Differential* * Equations*.

Degree: PhD, Applied Mathematics, 2017, University of Colorado

URL: http://scholar.colorado.edu/appm_gradetds/80

► When solving elliptic *partial* *differential* *equations* (PDE's) multigrid algorithms often provide optimal solvers and preconditioners capable of providing solutions with O(N) computational cost, where…
(more)

Subjects/Keywords: nested iteration; first-order system least-squares; algebraic multigrid; domain decomposition; range decomposition; adaptive mesh refinement; Applied Mathematics; Numerical Analysis and Computation; Partial Differential Equations

Record Details Similar Records

❌

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

APA (6^{th} Edition):

Mitchell, W. (2017). Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. (Doctoral Dissertation). University of Colorado. Retrieved from http://scholar.colorado.edu/appm_gradetds/80

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

Mitchell, Wayne. “Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations.” 2017. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. http://scholar.colorado.edu/appm_gradetds/80.

MLA Handbook (7^{th} Edition):

Mitchell, Wayne. “Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations.” 2017. Web. 20 Aug 2019.

Vancouver:

Mitchell W. Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2019 Aug 20]. Available from: http://scholar.colorado.edu/appm_gradetds/80.

Council of Science Editors:

Mitchell W. Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. [Doctoral Dissertation]. University of Colorado; 2017. Available from: http://scholar.colorado.edu/appm_gradetds/80

University of Colorado

16. Kalchev, Delyan Zhelev. Dual-Norm Least-Squares Finite Element Methods for Hyperbolic Problems.

Degree: PhD, Applied Mathematics, 2018, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/138

► Least-squares finite element discretizations of first-order hyperbolic *partial* *differential* *equations* (PDEs) are proposed and studied. Hyperbolic problems are notorious for possessing solutions with jump…
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Subjects/Keywords: first-order hyperbolic problems; balance laws; conservation laws; space-time discretization; least-squares methods; finite element methods; Numerical Analysis and Computation; Partial Differential Equations

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APA (6^{th} Edition):

Kalchev, D. Z. (2018). Dual-Norm Least-Squares Finite Element Methods for Hyperbolic Problems. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/138

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

Kalchev, Delyan Zhelev. “Dual-Norm Least-Squares Finite Element Methods for Hyperbolic Problems.” 2018. Doctoral Dissertation, University of Colorado. Accessed August 20, 2019. https://scholar.colorado.edu/appm_gradetds/138.

MLA Handbook (7^{th} Edition):

Kalchev, Delyan Zhelev. “Dual-Norm Least-Squares Finite Element Methods for Hyperbolic Problems.” 2018. Web. 20 Aug 2019.

Vancouver:

Kalchev DZ. Dual-Norm Least-Squares Finite Element Methods for Hyperbolic Problems. [Internet] [Doctoral dissertation]. University of Colorado; 2018. [cited 2019 Aug 20]. Available from: https://scholar.colorado.edu/appm_gradetds/138.

Council of Science Editors:

Kalchev DZ. Dual-Norm Least-Squares Finite Element Methods for Hyperbolic Problems. [Doctoral Dissertation]. University of Colorado; 2018. Available from: https://scholar.colorado.edu/appm_gradetds/138