32 citations · 51 across the 21 of their papers we have counts for
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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),…
Fast multigrid reduction-in-time for advection via modified semi-Lagrangian coarse-grid operators
H. De Sterck, R. D. Falgout, O. A. Krzysik
Many iterative parallel-in-time algorithms have been shown to be highly efficient for diffusion-dominated partial differential equations (PDEs), but are inefficient or even diverge…