Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems

DOI10.1137/15M1011044zbMath1353.65066arXiv1503.02094OpenAlexW2551638582MaRDI QIDQ2833531

Gil Ariel, Seong Jun Kim, Yen-Hsi Richard Tsai

Publication date: 18 November 2016

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

Full work available at URL: https://arxiv.org/abs/1503.02094

zbMATH Keywords

convergencenumerical examplesparallel algorithmsalmost-periodic solutionshighly oscillatory problemsmultiscale computation

Mathematics Subject Classification ID

Related Items (11)

Reduced model-based parareal simulations of oscillatory singularly perturbed ordinary differential equations ⋮ Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data ⋮ Higher Order Phase Averaging for Highly Oscillatory Systems ⋮ A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving ⋮ Numerical wave propagation aided by deep learning ⋮ Wavelet-based edge multiscale parareal algorithm for subdiffusion equations with heterogeneous coefficients in a large time domain ⋮ Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems ⋮ Simply improved averaging for coupled oscillators and weakly nonlinear waves ⋮ A stable parareal-like method for the second order wave equation ⋮ A Multiscale Domain Decomposition Algorithm for Boundary Value Problems for Eikonal Equations ⋮ Parareal Convergence for Oscillatory PDEs with Finite Time-Scale Separation

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