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• W3204010031 abstract "Parareal is a widely studied parallel-in-time method that can achieve meaningful speedup on certain problems. However, it is well known that the method typically performs poorly on non-diffusive equations. This paper analyzes linear stability and convergence for IMEX Runge-Kutta Parareal methods on non-diffusive equations. By combining standard linear stability analysis with a simple convergence analysis, we find that certain Parareal configurations can achieve parallel speedup on non-diffusive equations. These stable configurations possess low iteration counts, large block sizes, and a large number of processors. Numerical examples using the nonlinear Schrödinger equation demonstrate the analytical conclusions." @default.
• W3204010031 created "2021-10-11" @default.
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• W3204010031 date "2021-01-01" @default.
• W3204010031 modified "2023-09-24" @default.
• W3204010031 title "IMEX Runge-Kutta Parareal for Non-diffusive Equations" @default.
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• W3204010031 doi "https://doi.org/10.1007/978-3-030-75933-9_5" @default.
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