32 citations · 93 across the 20 of their papers we have counts for
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Parallel-in-time solution of hyperbolic PDE systems via characteristic-variable block preconditioning
O. A. Krzysik, H. De Sterck, R. D. Falgout +1
We consider the parallel-in-time solution of hyperbolic partial differential equation (PDE) systems in one spatial dimension, both linear and nonlinear. In the nonlinear setting, t…
Parallel-in-time solution of scalar nonlinear conservation laws
O. A. Krzysik, H. De Sterck, R. D. Falgout +1
We consider the parallel-in-time solution of scalar nonlinear conservation laws in one spatial dimension. The equations are discretized in space with a conservative finite-volume m…
Asymptotic convergence of restarted Anderson acceleration for certain normal linear systems
Oliver A. Krzysik, Hans De Sterck, Adam Smith
Anderson acceleration (AA) is widely used for accelerating the convergence of an underlying fixed-point iteration , , with $\…
Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection
H. De Sterck, R. D. Falgout, O. A. Krzysik +1
Parallel-in-time methods for partial differential equations (PDEs) have been the subject of intense development over recent decades, particularly for diffusion-dominated problems.…
Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective
H. De Sterck, S. Friedhoff, O. A. Krzysik +1
A long-standing issue in the parallel-in-time community is the poor convergence of standard iterative parallel-in-time methods for hyperbolic partial differential equations (PDEs),…
Anderson Acceleration as a Krylov Method with Application to Asymptotic Convergence Analysis
Hans De Sterck, Yunhui He, Oliver A. Krzysik
Anderson acceleration (AA) is widely used for accelerating the convergence of nonlinear fixed-point methods , , but little is known about ho…