A New Parareal Algorithm for Problems with Discontinuous Sources

DOI10.1137/18M1175653zbMath1439.65075arXiv1803.05503MaRDI QIDQ4631999

Martin J. Gander, Sebastian Schöps, Iryna Kulchytska-Ruchka, Innocent Niyonzima

Publication date: 25 April 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05503

zbMATH Keywords

convergence analysisevolution problemspararealODEs with discontinuous inputsparallel-in-time solution

Mathematics Subject Classification ID

Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (8)

Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data ⋮ Parareal method for anisotropic diffusion denoising ⋮ Parallel-in-time simulation of an electrical machine using MGRIT ⋮ A New Parareal Algorithm for Problems with Discontinuous Sources ⋮ The study of parareal algorithm for the linear switched systems ⋮ Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time ⋮ PASIROM: parallel simulation and robust optimization of electro-mechanical energy converters ⋮ Efficient Parallel-in-Time Solution of Time-Periodic Problems Using a MultiHarmonic Coarse Grid Correction

Uses Software

• Octave
• Mulprec

Cites Work

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