Ben S. Southworth

,

Melvin Leok

J. Nonlinear Sci., October, 2024

A Fast Algebraic Multigrid Solver and Accurate Discretization for Highly Anisotropic Heat Flux I: Open Field Lines.

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., 2024

Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems.

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., 2024

On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid.

[BibT_eX]

[DOI]

,

Thomas A. Manteuffel

SIAM J. Matrix Anal. Appl., 2024

Implicit-explicit Runge-Kutta for radiation hydrodynamics I: Gray diffusion.

[BibT_eX]

[DOI]

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J. Comput. Phys., 2024

One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport.

[BibT_eX]

[DOI]

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,

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J. Comput. Phys., 2024

A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity.

[BibT_eX]

[DOI]

Golo A. Wimmer

,

,

Qi Tang

CoRR, 2024

Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport.

[BibT_eX]

[DOI]

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,

,

CoRR, 2024

Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods.

[BibT_eX]

[DOI]

Brian K. Tran

,

,

CoRR, 2024

Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems.

[BibT_eX]

[DOI]

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,

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,

,

CoRR, 2024

A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems.

[BibT_eX]

[DOI]

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CoRR, 2024

Asynchronous Truncated Multigrid-Reduction-in-Time.

[BibT_eX]

[DOI]

Jens Hahne

,

,

SIAM J. Sci. Comput., June, 2023

Additive Polynomial Time Integrators, Part I: Framework and Fully Implicit-Explicit Collocation Methods.

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., June, 2023

Weighted relaxation for multigrid reduction in time.

[BibT_eX]

[DOI]

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Numer. Linear Algebra Appl., January, 2023

PyAMG: Algebraic Multigrid Solvers in Python.

[BibT_eX]

[DOI]

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,

,

J. Open Source Softw., 2023

Space-Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics.

[BibT_eX]

[DOI]

Federico Danieli

,

,

Jacob B. Schroder

CoRR, 2023

Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2023

A fast algebraic multigrid solver and accurate discretization for highly anisotropic heat flux I: open field lines.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2023

Fast Solution of Fully Implicit Runge-Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting.

[BibT_eX]

[DOI]

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,

,

SIAM J. Sci. Comput., 2022

Fast Solution of Fully Implicit Runge-Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs.

[BibT_eX]

[DOI]

,

Oliver A. Krzysik

,

Will Pazner

SIAM J. Sci. Comput., 2022

Space-Time Block Preconditioning for Incompressible Flow.

[BibT_eX]

[DOI]

Federico Danieli

,

,

Andrew J. Wathen

SIAM J. Sci. Comput., 2022

An algebraic preconditioner for the exactly divergence-free discontinuous Galerkin method for Stokes.

[BibT_eX]

[DOI]

Sander Rhebergen

,

CoRR, 2022

Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2D Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics.

[BibT_eX]

[DOI]

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,

,

CoRR, 2022

AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion).

[BibT_eX]

[DOI]

Abdullah Ali Sivas

,

,

Sander Rhebergen

SIAM J. Sci. Comput., 2021

On "Optimal" h-independent convergence of Parareal and multigrid-reduction-in-time using Runge-Kutta time integration.

[BibT_eX]

[DOI]

,

Numer. Linear Algebra Appl., 2021

Addititive Polynomial Block Methods, Part I: Framework and Fully-Implicit Methods.

[BibT_eX]

[DOI]

,

CoRR, 2021

Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT).

[BibT_eX]

[DOI]

Jens Hahne

,

,

CoRR, 2021

Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part II: nonlinearities and DAEs.

[BibT_eX]

[DOI]

,

Oliver A. Krzysik

,

Will Pazner

CoRR, 2021

Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part I: the linear setting.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2021

Multilevel Convergence Analysis of Multigrid-Reduction-in-Time.

[BibT_eX]

[DOI]

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,

,

,

,

SIAM J. Sci. Comput., 2020

Diffusion Synthetic Acceleration Preconditioning for Discontinuous Galerkin Discretizations of S<sub>N</sub> Transport on High-Order Curved Meshes.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2020

On Fixed-Point, Krylov, and 2˟ 2 Block Preconditioners for Nonsymmetric Problems.

[BibT_eX]

[DOI]

,

Abdullah Ali Sivas

,

Sander Rhebergen

SIAM J. Matrix Anal. Appl., 2020

Tight two-level convergence of Linear Parareal and MGRIT: Extensions and implications in practice.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2020

Diffusion synthetic acceleration for heterogeneous domains, compatible with voids.

[BibT_eX]

[DOI]

,

Milan Holec

,

Terry S. Haut

CoRR, 2020

A note on 2×2 block-diagonal preconditioning.

[BibT_eX]

[DOI]

,

Samuel S. Olivier

CoRR, 2020

Convergence in Norm of Nonsymmetric Algebraic Multigrid.

[BibT_eX]

[DOI]

Tom Manteuffel

,

SIAM J. Sci. Comput., 2019

Nonsymmetric Reduction-Based Algebraic Multigrid.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2019

Necessary Conditions and Tight Two-level Convergence Bounds for Parareal and Multigrid Reduction in Time.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2019

On "Optimal" h-Independent Convergence of Parareal and MGRIT using Runge-Kutta Time Integration.

[BibT_eX]

[DOI]

,

CoRR, 2019

Nonsymmetric Algebraic Multigrid Based on Local Approximate Ideal Restriction (ℓAIR).

[BibT_eX]

[DOI]

Thomas A. Manteuffel

,

John W. Ruge

,