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math.NA2020
Tight two-level convergence of Linear Parareal and MGRIT: Extensions and implications in practice
Ben S. Southworth, Wayne Mitchell, Andreas Hessenthaler +1
Two of the most popular parallel-in-time methods are Parareal and multigrid-reduction-in-time (MGRIT). Recently, a general convergence theory was developed in Southworth (2019) for…
math.NA2019★ 2 cited
Advances in Implementation, Theoretical Motivation, and Numerical Results for the Nested Iteration with Range Decomposition Algorithm
Wayne Mitchell, Tom Manteuffel
This paper studies a low-communication algorithm for solving elliptic partial differential equations (PDE's) on high-performance machines, the nested iteration with range decomposi…