57 citations · 131 across the 64 of their papers we have counts for
7 papers · 1 filter
Additive Polynomial Time Integrators, Part I: Framework and Fully-Implicit-Explicit (FIMEX) Collocation Methods
Tommaso Buvoli, Ben S. Southworth
In this paper we generalize the polynomial time integration framework to additively partitioned initial value problems. The framework we present is general and enables the construc…
Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT)
Jens Hahne, Ben Southworth, Stephanie Friedhoff
In this paper, we present the new "asynchronous truncated multigrid-reduction-in-time" (AT-MGRIT) algorithm for introducing time parallelism to the solution of discretized time-dep…
Weighted Relaxation for Multigrid Reduction in Time
Masumi Sugiyama, Jacob B. Schroder, Ben S. Southworth +1
Based on current trends in computer architectures, faster compute speeds must come from increased parallelism rather than increased clock speeds, which are currently stagnate. This…
A New Scheme for Solving High-Order DG Discretizations of Thermal Radiative Transfer using the Variable Eddington Factor Method
Ben C. Yee, Samuel S. Olivier, Ben S. Southworth +2
We present a new approach for solving high-order thermal radiative transfer (TRT) using the Variable Eddington Factor (VEF) method (also known as quasidiffusion). Our approach leve…
Space-time block preconditioning for incompressible flow
Federico Danieli, Ben S. Southworth, Andrew J. Wathen
Parallel-in-time methods have become increasingly popular in the simulation of time-dependent numerical PDEs, allowing for the efficient use of additional MPI processes when spatia…
Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part II: nonlinearities and DAEs
Ben S. Southworth, Oliver Krzysik, Will Pazner
Fully implicit Runge-Kutta (IRK) methods have many desirable accuracy and stability properties as time integration schemes, but high-order IRK methods are not commonly used in prac…
Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part I: the linear setting
Ben S. Southworth, Oliver Krzysik, Will Pazner +1
Fully implicit Runge-Kutta (IRK) methods have many desirable properties as time integration schemes in terms of accuracy and stability, but high-order IRK methods are not commonly…