A Root-Node-Based Algebraic Multigrid Method. - Thomas A. Manteuffel; Luke N. Olson; Jacob B. Schroder; Ben S. Southworth (SIAM J. Sci. Comput., 2017)

Nonsymmetric Algebraic Multigrid Based on Local Approximate Ideal Restriction (ℓAIR). - Thomas A. Manteuffel; John W. Ruge; Ben S. Southworth (SIAM J. Sci. Comput., 2018)

On "Optimal" h-Independent Convergence of Parareal and MGRIT using Runge-Kutta Time Integration. - Stephanie Friedhoff; Ben S. Southworth (CoRR, 2019)

Necessary Conditions and Tight Two-level Convergence Bounds for Parareal and Multigrid Reduction in Time. - Ben S. Southworth (SIAM J. Matrix Anal. Appl., 2019)

Nonsymmetric Reduction-Based Algebraic Multigrid. - Thomas A. Manteuffel; Steffen Münzenmaier; John W. Ruge; Ben S. Southworth (SIAM J. Sci. Comput., 2019)

Convergence in Norm of Nonsymmetric Algebraic Multigrid. - Tom Manteuffel; Ben S. Southworth (SIAM J. Sci. Comput., 2019)

A note on 2×2 block-diagonal preconditioning. - Ben S. Southworth; Samuel S. Olivier (CoRR, 2020)

Diffusion synthetic acceleration for heterogeneous domains, compatible with voids. - Ben S. Southworth; Milan Holec; Terry S. Haut (CoRR, 2020)

Tight two-level convergence of Linear Parareal and MGRIT: Extensions and implications in practice. - Ben S. Southworth; Wayne Mitchell 001; Andreas Hessenthaler; Federico Danieli (CoRR, 2020)

On Fixed-Point, Krylov, and 2˟ 2 Block Preconditioners for Nonsymmetric Problems. - Ben S. Southworth; Abdullah Ali Sivas; Sander Rhebergen (SIAM J. Matrix Anal. Appl., 2020)

Diffusion Synthetic Acceleration Preconditioning for Discontinuous Galerkin Discretizations of SN Transport on High-Order Curved Meshes. - Terry S. Haut; Ben S. Southworth; Peter G. Maginot; Vladimir Z. Tomov (SIAM J. Sci. Comput., 2020)

Multilevel Convergence Analysis of Multigrid-Reduction-in-Time. - Andreas Hessenthaler; Ben S. Southworth; David Nordsletten; Oliver Röhrle; Robert D. Falgout; Jacob B. Schroder (SIAM J. Sci. Comput., 2020)

Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part I: the linear setting. - Ben S. Southworth; Oliver A. Krzysik; Will Pazner; Hans De Sterck (CoRR, 2021)

Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part II: nonlinearities and DAEs. - Ben S. Southworth; Oliver A. Krzysik; Will Pazner (CoRR, 2021)

Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT). - Jens Hahne; Ben S. Southworth; Stephanie Friedhoff (CoRR, 2021)

Addititive Polynomial Block Methods, Part I: Framework and Fully-Implicit Methods. - Tommaso Buvoli; Ben S. Southworth (CoRR, 2021)

On "Optimal" h-independent convergence of Parareal and multigrid-reduction-in-time using Runge-Kutta time integration. - Stephanie Friedhoff; Ben S. Southworth (Numer. Linear Algebra Appl., 2021)

AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion). - Abdullah Ali Sivas; Ben S. Southworth; Sander Rhebergen (SIAM J. Sci. Comput., 2021)

Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2D Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics. - Milan Holec; Ben Zhu; Ilon Joseph; Christopher J. Vogl; Ben S. Southworth; Alejandro Campos; Andris M. Dimits; Will E. Pazner (CoRR, 2022)

An algebraic preconditioner for the exactly divergence-free discontinuous Galerkin method for Stokes. - Sander Rhebergen; Ben S. Southworth (CoRR, 2022)

Space-Time Block Preconditioning for Incompressible Flow. - Federico Danieli; Ben S. Southworth; Andrew J. Wathen (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. - Ben S. Southworth; Oliver A. Krzysik; Will Pazner (SIAM J. Sci. Comput., 2022)

Fast Solution of Fully Implicit Runge-Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting. - Ben S. Southworth; Oliver A. Krzysik; Will Pazner; Hans De Sterck (SIAM J. Sci. Comput., 2022)

A fast algebraic multigrid solver and accurate discretization for highly anisotropic heat flux I: open field lines. - Golo A. Wimmer; Ben S. Southworth; Thomas J. Gregory; Xianzhu Tang (CoRR, 2023)

Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion. - Ben S. Southworth; Ryosuke Park; Svetlana Tokareva; Marc Charest (CoRR, 2023)

Space-Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics. - Federico Danieli; Ben S. Southworth; Jacob B. Schroder (CoRR, 2023)

PyAMG: Algebraic Multigrid Solvers in Python. - Nathan Bell; Luke N. Olson; Jacob B. Schroder; Ben S. Southworth (J. Open Source Softw., 2023)

Weighted relaxation for multigrid reduction in time. - Masumi Sugiyama; Jacob B. Schroder; Ben S. Southworth; Stephanie Friedhoff (Numer. Linear Algebra Appl., 2023)

Additive Polynomial Time Integrators, Part I: Framework and Fully Implicit-Explicit Collocation Methods. - Tommaso Buvoli; Ben S. Southworth (SIAM J. Sci. Comput., 2023)

Asynchronous Truncated Multigrid-Reduction-in-Time. - Jens Hahne; Ben S. Southworth; Stephanie Friedhoff (SIAM J. Sci. Comput., 2023)

A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems. - Tommaso Buvoli; Ben S. Southworth (CoRR, 2024)

Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth (CoRR, 2024)

Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods. - Brian K. Tran; Ben S. Southworth; Tommaso Buvoli (CoRR, 2024)

Galerkin Formulation of Path Integrals in Lattice Field Theory. - Brian K. Tran; Ben S. Southworth (CoRR, 2024)

An adaptive two-grid preconditioner for flow in fractured porous media. - Maria V. Vasilyeva; Ben S. Southworth; Shubin Fu (CoRR, 2024)

An accurate SUPG-stabilized continuous Galerkin discretization for anisotropic heat flux in magnetic confinement fusion. - Golo A. Wimmer; Ben S. Southworth; Koki Sagiyama; Xian-Zhu Tang (CoRR, 2024)

Learning physical unknowns from hydrodynamic shock and material interface features in ICF capsule implosions. - Daniel A. Serino; Evan Bell; Marc Louis Klasky; Ben S. Southworth; Balasubramanya T. Nadiga; Trevor Wilcox; Oleg Korobkin (CoRR, 2024)

One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport. - Ben S. Southworth; Samuel S. Olivier; HyeongKae Park; Tommaso Buvoli (J. Comput. Phys., 2024)

Implicit-explicit Runge-Kutta for radiation hydrodynamics I: Gray diffusion. - Ben S. Southworth; Hyeongkae Park; Svetlana Tokareva; Marc Charest (J. Comput. Phys., 2024)

On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid. - Ben S. Southworth; Thomas A. Manteuffel (SIAM J. Matrix Anal. Appl., 2024)

Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth (SIAM J. Sci. Comput., 2024)

A Fast Algebraic Multigrid Solver and Accurate Discretization for Highly Anisotropic Heat Flux I: Open Field Lines. - Golo A. Wimmer; Ben S. Southworth; Thomas J. Gregory; Xian-Zhu Tang (SIAM J. Sci. Comput., 2024)

On Properties of Adjoint Systems for Evolutionary PDEs. - Brian K. Tran; Ben S. Southworth; Melvin Leok (J. Nonlinear Sci., 2024)

Multiscale approximation and two-grid preconditioner for extremely anisotropic heat flow. - Maria V. Vasilyeva; Golo A. Wimmer; Ben S. Southworth (J. Comput. Phys., 2025)

A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity. - Golo A. Wimmer; Ben S. Southworth; Qi Tang 001 (J. Comput. Phys., 2025)

Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport. - Samuel S. Olivier; Ben S. Southworth; James S. Warsa; HyeongKae Park (SIAM J. Sci. Comput., 2025)

Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers. - Oliver A. Krzysik; Ben S. Southworth; Bobby Philip (CoRR, 2025)

Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth; Alexey Voronin (CoRR, 2025)

Moment-based adaptive time integration for thermal radiation transport. - Ben S. Southworth; Steven Walton 003; Steven B. Roberts; HyeongKae Park (CoRR, 2025)

Multirate Runge-Kutta for Nonlinearly Partitioned Systems. - Tommaso Buvoli; Brian K. Tran; Ben S. Southworth (CoRR, 2025)

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems. - Oliver A. Krzysik; Ben S. Southworth; Golo A. Wimmer (CoRR, 2025)

Preconditioning transformations of adjoint systems for evolution equations. - Brian K. Tran; Ben S. Southworth; Hannah F. Blumhoefer; Samuel S. Olivier (CoRR, 2025)

Learning robust parameter inference and density reconstruction in flyer plate impact experiments. - Evan Bell; Daniel A. Serino; Ben S. Southworth; Trevor Wilcox; Marc Louis Klasky (CoRR, 2025)

Implicit-Explicit Scheme with Multiscale Vanka Two-Grid Solver for Heterogeneous Unsaturated Poroelasticity. - Maria V. Vasilyeva; Ben S. Southworth; Yunhui He; Min Wang (CoRR, 2025)