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2020 – today
- 2025
[i34]Oliver A. Krzysik, Ben S. Southworth, Bobby Philip:
Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers. CoRR abs/2501.00938 (2025)- [i33]Ahsan Ali, James J. Brannick, Karsten Kahl, Oliver A. Krzysik, Jacob B. Schroder, Ben S. Southworth, Alexey Voronin:
Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies. CoRR abs/2501.06621 (2025) - [i32]Ben S. Southworth, Steven Walton, Steven B. Roberts, HyeongKae Park:
Moment-based adaptive time integration for thermal radiation transport. CoRR abs/2501.17301 (2025) - 2024
- [j23]Ben S. Southworth
, Samuel S. Olivier, HyeongKae Park, Tommaso Buvoli:
One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport. J. Comput. Phys. 517: 113349 (2024) - [j22]Ben S. Southworth, Hyeongkae Park, Svetlana Tokareva, Marc Charest:
Implicit-explicit Runge-Kutta for radiation hydrodynamics I: Gray diffusion. J. Comput. Phys. 518: 113339 (2024) - [j21]Brian K. Tran, Ben S. Southworth, Melvin Leok:
On Properties of Adjoint Systems for Evolutionary PDEs. J. Nonlinear Sci. 34(5): 95 (2024) - [j20]Ben S. Southworth, Thomas A. Manteuffel:
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid. SIAM J. Matrix Anal. Appl. 45(3): 1245-1258 (2024) - [j19]Golo A. Wimmer, Ben S. Southworth, Thomas J. Gregory, Xian-Zhu Tang:
A Fast Algebraic Multigrid Solver and Accurate Discretization for Highly Anisotropic Heat Flux I: Open Field Lines. SIAM J. Sci. Comput. 46(3): 1821- (2024) - [j18]Ahsan Ali, James J. Brannick, Karsten Kahl, Oliver A. Krzysik, Jacob B. Schroder, Ben S. Southworth:
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems. SIAM J. Sci. Comput. 46(5): S96-S122 (2024) - [i31]Ben S. Southworth, Samuel S. Olivier, HyeongKae Park, Tommaso Buvoli:
One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport. CoRR abs/2401.04285 (2024) - [i30]Tommaso Buvoli, Ben S. Southworth:
A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems. CoRR abs/2401.04859 (2024) - [i29]Ahsan Ali, James J. Brannick, Karsten Kahl, Oliver A. Krzysik, Jacob B. Schroder, Ben S. Southworth:
Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems. CoRR abs/2401.11146 (2024) - [i28]Brian K. Tran, Ben S. Southworth, Tommaso Buvoli:
Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods. CoRR abs/2401.12427 (2024) - [i27]Brian K. Tran, Ben S. Southworth, Melvin Leok:
On Properties of Adjoint Systems for Evolutionary PDEs. CoRR abs/2404.02320 (2024) - [i26]Samuel S. Olivier, Ben S. Southworth, James S. Warsa, HyeongKae Park:
Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport. CoRR abs/2404.17473 (2024) - [i25]Golo A. Wimmer, Ben S. Southworth, Qi Tang:
A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity. CoRR abs/2410.13087 (2024) - [i24]Brian K. Tran, Ben S. Southworth:
Galerkin Formulation of Path Integrals in Lattice Field Theory. CoRR abs/2411.15343 (2024) - [i23]Maria Vasilyeva, Ben S. Southworth, Shubin Fu:
An adaptive two-grid preconditioner for flow in fractured porous media. CoRR abs/2411.17903 (2024) - [i22]Maria Vasilyeva, Golo A. Wimmer, Ben S. Southworth:
Multiscale approximation and two-grid preconditioner for extremely anisotropic heat flow. CoRR abs/2412.08355 (2024) - [i21]Golo A. Wimmer, Ben S. Southworth, Koki Sagiyama, Xian-Zhu Tang:
An accurate SUPG-stabilized continuous Galerkin discretization for anisotropic heat flux in magnetic confinement fusion. CoRR abs/2412.12396 (2024) - [i20]Daniel A. Serino, Evan Bell, Marc Louis Klasky, Ben S. Southworth, Balasubramanya T. Nadiga, Trevor Wilcox, Oleg Korobkin:
Learning physical unknowns from hydrodynamic shock and material interface features in ICF capsule implosions. CoRR abs/2412.20192 (2024) - 2023
- [j17]Nathan Bell, Luke N. Olson, Jacob B. Schroder, Ben S. Southworth:
PyAMG: Algebraic Multigrid Solvers in Python. J. Open Source Softw. 8(88): 5495 (2023) - [j16]Masumi Sugiyama, Jacob B. Schroder, Ben S. Southworth, Stephanie Friedhoff:
Weighted relaxation for multigrid reduction in time. Numer. Linear Algebra Appl. 30(1) (2023) - [j15]Tommaso Buvoli, Ben S. Southworth:
Additive Polynomial Time Integrators, Part I: Framework and Fully Implicit-Explicit Collocation Methods. SIAM J. Sci. Comput. 45(3): 2945-2972 (2023) - [j14]Jens Hahne, Ben S. Southworth, Stephanie Friedhoff:
Asynchronous Truncated Multigrid-Reduction-in-Time. SIAM J. Sci. Comput. 45(3): S281-S306 (2023) - [i19]Golo A. Wimmer, Ben S. Southworth, Thomas J. Gregory, Xianzhu Tang:
A fast algebraic multigrid solver and accurate discretization for highly anisotropic heat flux I: open field lines. CoRR abs/2301.13351 (2023) - [i18]Ben S. Southworth, Ryosuke Park, Svetlana Tokareva, Marc Charest:
Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion. CoRR abs/2305.05452 (2023) - [i17]Ahsan Ali, James J. Brannick, Karsten Kahl, Oliver A. Krzysik, Jacob B. Schroder, Ben S. Southworth:
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems. CoRR abs/2307.00229 (2023) - [i16]Ben S. Southworth, Thomas A. Manteuffel:
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid. CoRR abs/2307.05900 (2023) - [i15]Federico Danieli, Ben S. Southworth, Jacob B. Schroder:
Space-Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics. CoRR abs/2309.00768 (2023) - 2022
- [j13]Federico Danieli, Ben S. Southworth, Andrew J. Wathen:
Space-Time Block Preconditioning for Incompressible Flow. SIAM J. Sci. Comput. 44(1): 337- (2022) - [j12]Ben S. Southworth, Oliver A. Krzysik, Will Pazner, Hans De Sterck:
Fast Solution of Fully Implicit Runge-Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting. SIAM J. Sci. Comput. 44(1): 416- (2022) - [j11]Ben S. Southworth, Oliver A. Krzysik, Will Pazner:
Fast Solution of Fully Implicit Runge-Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs. SIAM J. Sci. Comput. 44(2): 636- (2022) - [i14]Milan Holec, Ben Zhu, Ilon Joseph, Christopher J. Vogl, Ben S. Southworth, Alejandro Campos, Andris M. Dimits, Will E. Pazner:
Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2D Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics. CoRR abs/2202.13022 (2022) - [i13]Sander Rhebergen, Ben S. Southworth:
An algebraic preconditioner for the exactly divergence-free discontinuous Galerkin method for Stokes. CoRR abs/2203.14881 (2022) - 2021
- [j10]Stephanie Friedhoff, Ben S. Southworth:
On "Optimal" h-independent convergence of Parareal and multigrid-reduction-in-time using Runge-Kutta time integration. Numer. Linear Algebra Appl. 28(3) (2021) - [j9]Abdullah Ali Sivas, Ben S. Southworth, Sander Rhebergen:
AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion). SIAM J. Sci. Comput. 43(5): A3393-A3416 (2021) - [i12]Ben S. Southworth, Oliver A. Krzysik, Will Pazner, Hans De Sterck:
Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part I: the linear setting. CoRR abs/2101.00512 (2021) - [i11]Ben S. Southworth, Oliver A. Krzysik, Will Pazner:
Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part II: nonlinearities and DAEs. CoRR abs/2101.01776 (2021) - [i10]Federico Danieli, Ben S. Southworth, Andrew J. Wathen:
Space-time block preconditioning for incompressible flow. CoRR abs/2101.07003 (2021) - [i9]Masumi Sugiyama, Jacob B. Schroder, Ben S. Southworth, Stephanie Friedhoff:
Weighted Relaxation for Multigrid Reduction in Time. CoRR abs/2107.02290 (2021) - [i8]Jens Hahne, Ben S. Southworth, Stephanie Friedhoff:
Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT). CoRR abs/2107.09596 (2021) - [i7]Tommaso Buvoli, Ben S. Southworth:
Addititive Polynomial Block Methods, Part I: Framework and Fully-Implicit Methods. CoRR abs/2109.03317 (2021) - 2020
- [j8]Ben S. Southworth, Abdullah Ali Sivas, Sander Rhebergen:
On Fixed-Point, Krylov, and 2˟ 2 Block Preconditioners for Nonsymmetric Problems. SIAM J. Matrix Anal. Appl. 41(2): 871-900 (2020) - [j7]Andreas Hessenthaler, Ben S. Southworth, David Nordsletten, Oliver Röhrle, Robert D. Falgout, Jacob B. Schroder:
Multilevel Convergence Analysis of Multigrid-Reduction-in-Time. SIAM J. Sci. Comput. 42(2): A771-A796 (2020) - [j6]Terry S. Haut, Ben S. Southworth, Peter G. Maginot, Vladimir Z. Tomov:
Diffusion Synthetic Acceleration Preconditioning for Discontinuous Galerkin Discretizations of SN Transport on High-Order Curved Meshes. SIAM J. Sci. Comput. 42(5): B1271-B1301 (2020) - [i6]Ben S. Southworth, Samuel S. Olivier:
A note on 2×2 block-diagonal preconditioning. CoRR abs/2001.00711 (2020) - [i5]Ben S. Southworth, Milan Holec, Terry S. Haut:
Diffusion synthetic acceleration for heterogeneous domains, compatible with voids. CoRR abs/2001.09196 (2020) - [i4]Abdullah Ali Sivas, Ben S. Southworth, Sander Rhebergen:
AIR algebraic multigrid for a space-time hybridizable discontinuous Galerkin discretization of advection(-diffusion). CoRR abs/2010.11130 (2020) - [i3]Ben S. Southworth, Wayne Mitchell, Andreas Hessenthaler, Federico Danieli:
Tight two-level convergence of Linear Parareal and MGRIT: Extensions and implications in practice. CoRR abs/2010.11879 (2020)
2010 – 2019
- 2019
- [j5]Ben S. Southworth:
Necessary Conditions and Tight Two-level Convergence Bounds for Parareal and Multigrid Reduction in Time. SIAM J. Matrix Anal. Appl. 40(2): 564-608 (2019) - [j4]Thomas A. Manteuffel, Steffen Münzenmaier, John W. Ruge, Ben S. Southworth:
Nonsymmetric Reduction-Based Algebraic Multigrid. SIAM J. Sci. Comput. 41(5): S242-S268 (2019) - [j3]Tom Manteuffel, Ben S. Southworth:
Convergence in Norm of Nonsymmetric Algebraic Multigrid. SIAM J. Sci. Comput. 41(5): S269-S296 (2019) - [i2]Stephanie Friedhoff, Ben S. Southworth:
On "Optimal" h-Independent Convergence of Parareal and MGRIT using Runge-Kutta Time Integration. CoRR abs/1906.06672 (2019) - [i1]Ben S. Southworth, Abdullah Ali Sivas, Sander Rhebergen:
On fixed-point, Krylov, and 2×2 block preconditioners for nonsymmetric problems. CoRR abs/1911.02664 (2019) - 2018
- [j2]Thomas A. Manteuffel, John W. Ruge, Ben S. Southworth:
Nonsymmetric Algebraic Multigrid Based on Local Approximate Ideal Restriction (ℓAIR). SIAM J. Sci. Comput. 40(6): A4105-A4130 (2018) - 2017
- [j1]Thomas A. Manteuffel, Luke N. Olson, Jacob B. Schroder, Ben S. Southworth:
A Root-Node-Based Algebraic Multigrid Method. SIAM J. Sci. Comput. 39(5) (2017)
Coauthor Index
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