43 citations · 97 across the 20 of their papers we have counts for
5 papers · 1 filter
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 for Chaotic Dynamical Systems
David A. Vargas, Robert D. Falgout, Stefanie Günther +1
As CPU clock speeds have stagnated and high performance computers continue to have ever higher core counts, increased parallelism is needed to take advantage of these new architect…
A New Semi-Structured Algebraic Multigrid Method
Victor A. Paludetto Magri, Robert D. Falgout, Ulrike M. Yang
Multigrid methods are well suited to large massively parallel computer architectures because they are mathematically optimal and display excellent parallelization properties. Since…
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…
Toward Parallel in Time for Chaotic Dynamical Systems
David A. Vargas, Robert D. Falgout, Stefanie Günther +1
As CPU clock speeds have stagnated, and high performance computers continue to have ever higher core counts, increased parallelism is needed to take advantage of these new architec…