Asynchronous Relaxations for the Numerical Solution of Differential Equations by Parallel Processors

DOI10.1137/0908012zbMath0621.65077OpenAlexW2039185176MaRDI QIDQ3757297

Debasis Mitra

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1137/0908012

zbMATH Keywords

uniform convergenceparallel processingwaveform relaxationsasynchronous computational modelasynchronous relaxations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Multidomain solution of advection problems by Chebyshev spectral collocation ⋮ Asynchronous gradient algorithms for a class of convex separable network flow problems ⋮ Remarks on Picard-Lindelöf iteration ⋮ On parallel asynchronous high-order solutions of parabolic PDEs ⋮ On the stability of asynchronous iterative processes ⋮ Remarks on Picard-Lindelöf iteration. II ⋮ Waveform methods for space and time parallelism ⋮ Parallel adaptive and time-stabilizing schemes for constant-coefficient parabolic PDE's ⋮ A survey of asynchronous finite-difference methods for parabolic PDEs on multiprocessors ⋮ On asynchronous iterations ⋮ Some aspects of parallel and distributed iterative algorithms - a survey ⋮ Asynchronous block-iterative methods for almost linear equations ⋮ Asynchronous and corrected-asynchronous finite difference solutions of PDEs on MIMD multiprocessors

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