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University of Colorado

1. 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

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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 January 24, 2021. 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. 24 Jan 2021.

Vancouver:

Mitchell WB. Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 24]. 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

2. Allen, Jeffery M. What's Cooler Than Being Cool? Ice-Sheet Models Using a Fluidity-Based FOSLS Approach to Nonlinear-Stokes Flow.

Degree: PhD, 2017, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/84

► This research involves a few First-Order System Least Squares (FOSLS) formulations of a nonlinear-Stokes flow model for ice sheets. In Glen's flow law, a…
(more)

Subjects/Keywords: fluid flow; FOSLS; glaciers; ice sheets; multigrid; nonlinear stokes equations; Fashion Design; Mathematics

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

APA (6^{th} Edition):

Allen, J. M. (2017). What's Cooler Than Being Cool? Ice-Sheet Models Using a Fluidity-Based FOSLS Approach to Nonlinear-Stokes Flow. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/84

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

Allen, Jeffery M. “What's Cooler Than Being Cool? Ice-Sheet Models Using a Fluidity-Based FOSLS Approach to Nonlinear-Stokes Flow.” 2017. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/84.

MLA Handbook (7^{th} Edition):

Allen, Jeffery M. “What's Cooler Than Being Cool? Ice-Sheet Models Using a Fluidity-Based FOSLS Approach to Nonlinear-Stokes Flow.” 2017. Web. 24 Jan 2021.

Vancouver:

Allen JM. What's Cooler Than Being Cool? Ice-Sheet Models Using a Fluidity-Based FOSLS Approach to Nonlinear-Stokes Flow. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/84.

Council of Science Editors:

Allen JM. What's Cooler Than Being Cool? Ice-Sheet Models Using a Fluidity-Based FOSLS Approach to Nonlinear-Stokes Flow. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/84

University of Colorado

3. O'Neill, Ben. Multigrid Reduction in Time for Nonlinear Parabolic Problems.

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

URL: https://scholar.colorado.edu/appm_gradetds/92

► The need for parallelism in the time dimension is being driven by changes in computer architectures, where recent performance increases are attributed to greater…
(more)

Subjects/Keywords: high performance computing; multigrid; parallel in time; Applied Mathematics; Theory and Algorithms

Record Details Similar Records

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

APA (6^{th} Edition):

O'Neill, B. (2017). Multigrid Reduction in Time for Nonlinear Parabolic Problems. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/92

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

O'Neill, Ben. “Multigrid Reduction in Time for Nonlinear Parabolic Problems.” 2017. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/92.

MLA Handbook (7^{th} Edition):

O'Neill, Ben. “Multigrid Reduction in Time for Nonlinear Parabolic Problems.” 2017. Web. 24 Jan 2021.

Vancouver:

O'Neill B. Multigrid Reduction in Time for Nonlinear Parabolic Problems. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/92.

Council of Science Editors:

O'Neill B. Multigrid Reduction in Time for Nonlinear Parabolic Problems. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/92

University of Colorado

4. Fox, Alyson Lindsey. Algebraic Multigrid(amg) for Graph Laplacian Linear Systems: Extensions of Amg for Signed, Undirected and Unsigned, Directed Graphs.

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

URL: https://scholar.colorado.edu/appm_gradetds/96

► Relational datasets are often modeled as an unsigned, undirected graph due the nice properties of the resulting graph Laplacian, but information is lost if…
(more)

Subjects/Keywords: Algebraic Multigrid; Directed graphs; Graph Laplacians; Gremban's expansion; Signed graphs; Applied Mechanics

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

APA (6^{th} Edition):

Fox, A. L. (2017). Algebraic Multigrid(amg) for Graph Laplacian Linear Systems: Extensions of Amg for Signed, Undirected and Unsigned, Directed Graphs. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/96

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

Fox, Alyson Lindsey. “Algebraic Multigrid(amg) for Graph Laplacian Linear Systems: Extensions of Amg for Signed, Undirected and Unsigned, Directed Graphs.” 2017. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/96.

MLA Handbook (7^{th} Edition):

Fox, Alyson Lindsey. “Algebraic Multigrid(amg) for Graph Laplacian Linear Systems: Extensions of Amg for Signed, Undirected and Unsigned, Directed Graphs.” 2017. Web. 24 Jan 2021.

Vancouver:

Fox AL. Algebraic Multigrid(amg) for Graph Laplacian Linear Systems: Extensions of Amg for Signed, Undirected and Unsigned, Directed Graphs. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/96.

Council of Science Editors:

Fox AL. Algebraic Multigrid(amg) for Graph Laplacian Linear Systems: Extensions of Amg for Signed, Undirected and Unsigned, Directed Graphs. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/96

University of Colorado

5. Southworth, Benjamin Scott. Seeking Space Aliens and the Strong Approximation Property: a (Disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid.

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

URL: https://scholar.colorado.edu/appm_gradetds/99

► PART I: One of the most fascinating questions to humans has long been whether life exists outside of our planet. To our knowledge, water…
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Subjects/Keywords: algebraic multigrid; dust plume; Enceladus; linear system; nonsymmetric; transport; Applied Mathematics; Physics

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

APA (6^{th} Edition):

Southworth, B. S. (2017). Seeking Space Aliens and the Strong Approximation Property: a (Disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/99

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

Southworth, Benjamin Scott. “Seeking Space Aliens and the Strong Approximation Property: a (Disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid.” 2017. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/99.

MLA Handbook (7^{th} Edition):

Southworth, Benjamin Scott. “Seeking Space Aliens and the Strong Approximation Property: a (Disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid.” 2017. Web. 24 Jan 2021.

Vancouver:

Southworth BS. Seeking Space Aliens and the Strong Approximation Property: a (Disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/99.

Council of Science Editors:

Southworth BS. Seeking Space Aliens and the Strong Approximation Property: a (Disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/appm_gradetds/99

University of Colorado

6. Garcia, Jose Humberto. Beta-Plane Approximation of Wind Driven Ocean Circulation using a First Order System Least-Squares Formulation.

Degree: PhD, Applied Mathematics, 2014, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/51

► An alternative First Order Least-Squares (FOSLS) Finite Element formulation for the numerical solution of the stationary linear problem posed by the Beta-Plane approximation of…
(more)

Subjects/Keywords: Beta-Plane; FOSLS; Geophysics; Navier-Stokes; Applied Mathematics; Geophysics and Seismology

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

APA (6^{th} Edition):

Garcia, J. H. (2014). Beta-Plane Approximation of Wind Driven Ocean Circulation using a First Order System Least-Squares Formulation. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/51

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

Garcia, Jose Humberto. “Beta-Plane Approximation of Wind Driven Ocean Circulation using a First Order System Least-Squares Formulation.” 2014. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/51.

MLA Handbook (7^{th} Edition):

Garcia, Jose Humberto. “Beta-Plane Approximation of Wind Driven Ocean Circulation using a First Order System Least-Squares Formulation.” 2014. Web. 24 Jan 2021.

Vancouver:

Garcia JH. Beta-Plane Approximation of Wind Driven Ocean Circulation using a First Order System Least-Squares Formulation. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/51.

Council of Science Editors:

Garcia JH. Beta-Plane Approximation of Wind Driven Ocean Circulation using a First Order System Least-Squares Formulation. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/appm_gradetds/51

University of Colorado

7. Brutz, Michael Joseph. Mathematical Modelling and Analysis of Several Diffusive Processes.

Degree: PhD, Applied Mathematics, 2014, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/60

► The underlying theme of this research is using numerical methods to develop computationally efficient algorithms for three separate problems driven by diffusive processes. The…
(more)

Subjects/Keywords: community; glacier; multiscale; network; flow; particle tracking; Applied Mathematics

Record Details Similar Records

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

APA (6^{th} Edition):

Brutz, M. J. (2014). Mathematical Modelling and Analysis of Several Diffusive Processes. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/60

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

Brutz, Michael Joseph. “Mathematical Modelling and Analysis of Several Diffusive Processes.” 2014. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/60.

MLA Handbook (7^{th} Edition):

Brutz, Michael Joseph. “Mathematical Modelling and Analysis of Several Diffusive Processes.” 2014. Web. 24 Jan 2021.

Vancouver:

Brutz MJ. Mathematical Modelling and Analysis of Several Diffusive Processes. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/60.

Council of Science Editors:

Brutz MJ. Mathematical Modelling and Analysis of Several Diffusive Processes. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/appm_gradetds/60

University of Colorado

8. Appelhans, David John. Trading Computation for Communication: A Low Communication Algorithm for the Parallel Solution of PDEs Using Range Decomposition, Nested Iteration, and Adaptive Mesh Refinement.

Degree: PhD, Applied Mathematics, 2014, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/63

► In this thesis we propose a new algorithm for solving PDEs on massively parallel computers. The Nested Iteration Adaptive Mesh Refinement Range Decomposition (NI-AMRRD)…
(more)

Subjects/Keywords: Adaptive Refinement; FOSLS; High Performance Computing; Nested Iteration; Parallel Algorithms; Range Decomposition; Applied Mathematics; Computer Sciences; Theory and Algorithms

Record Details Similar Records

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

APA (6^{th} Edition):

Appelhans, D. J. (2014). Trading Computation for Communication: A Low Communication Algorithm for the Parallel Solution of PDEs Using Range Decomposition, Nested Iteration, and Adaptive Mesh Refinement. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/63

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

Appelhans, David John. “Trading Computation for Communication: A Low Communication Algorithm for the Parallel Solution of PDEs Using Range Decomposition, Nested Iteration, and Adaptive Mesh Refinement.” 2014. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/63.

MLA Handbook (7^{th} Edition):

Appelhans, David John. “Trading Computation for Communication: A Low Communication Algorithm for the Parallel Solution of PDEs Using Range Decomposition, Nested Iteration, and Adaptive Mesh Refinement.” 2014. Web. 24 Jan 2021.

Vancouver:

Appelhans DJ. Trading Computation for Communication: A Low Communication Algorithm for the Parallel Solution of PDEs Using Range Decomposition, Nested Iteration, and Adaptive Mesh Refinement. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/63.

Council of Science Editors:

Appelhans DJ. Trading Computation for Communication: A Low Communication Algorithm for the Parallel Solution of PDEs Using Range Decomposition, Nested Iteration, and Adaptive Mesh Refinement. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/appm_gradetds/63

University of Colorado

9. Liu, Kuo. Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations.

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

URL: https://scholar.colorado.edu/appm_gradetds/30

► This thesis combines the FOSLS method with the FOSLL* method to create a Hybrid method. The FOSLS approach minimizes the error, e<em>^{ h}</em> =…
(more)

Subjects/Keywords: Finite Element; Least-squares; Navier Stokes; Stokes; Applied Mathematics

Record Details Similar Records

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

APA (6^{th} Edition):

Liu, K. (2012). Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/30

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

Liu, Kuo. “Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations.” 2012. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/30.

MLA Handbook (7^{th} Edition):

Liu, Kuo. “Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations.” 2012. Web. 24 Jan 2021.

Vancouver:

Liu K. Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations. [Internet] [Doctoral dissertation]. University of Colorado; 2012. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/30.

Council of Science Editors:

Liu K. Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations. [Doctoral Dissertation]. University of Colorado; 2012. Available from: https://scholar.colorado.edu/appm_gradetds/30

University of Colorado

10. Jones, Tobias M. Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs.

Degree: PhD, Applied Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/43

► In modern large-scale supercomputing applications, Algebraic Multigrid (AMG) is a leading choice for solving linear systems. However, on the newest architectures, the relatively high…
(more)

Subjects/Keywords: AMG; Graphs; Parallel; Systems; Applied Mathematics

Record Details Similar Records

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

APA (6^{th} Edition):

Jones, T. M. (2013). Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/43

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

Jones, Tobias M. “Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs.” 2013. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021. https://scholar.colorado.edu/appm_gradetds/43.

MLA Handbook (7^{th} Edition):

Jones, Tobias M. “Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs.” 2013. Web. 24 Jan 2021.

Vancouver:

Jones TM. Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2021 Jan 24]. Available from: https://scholar.colorado.edu/appm_gradetds/43.

Council of Science Editors:

Jones TM. Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/43