On the Multigrid Waveform Relaxation Method

DOI10.1137/0916063zbMath0836.65086OpenAlexW2040319695MaRDI QIDQ4852593

Shlomo Ta'asan, Hong Zhang

Publication date: 29 April 1996

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

Full work available at URL: https://doi.org/10.1137/0916063

zbMATH Keywords

convergenceFourier analysisinitial value problemsmultigrid methodmultigrid waveform relaxation method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (6)

A note on windowing for the waveform relaxation method ⋮ A waveform relaxation Newmark method for structural dynamics problems ⋮ Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation ⋮ Analysis of a new accelerated waveform relaxation method based on the time-parallel algorithm ⋮ Toward error estimates for general space-time discretizations of the advection equation ⋮ Fourier-Laplace analysis of the multigrid waveform relaxation method for hyperbolic equations

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