Waveform Iteration and the Shifted Picard Splitting

DOI10.1137/0910046zbMath0687.65076OpenAlexW1981130604MaRDI QIDQ4206326

Robert D. Skeel

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1137/0910046

zbMATH Keywords

numerical examplesNewton-Raphson methodparallel computingwaveform relaxationspeeduplinear constant coefficient systemChebyshev type accelerationshifted Picard iterationwaveform splittings

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (15)

A remark on the wave‐form relaxation method ⋮ Implementing an ODE code on distributed memory computers ⋮ Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution ⋮ Boundary value methods based on Adams-type methods ⋮ Preconditioning waveform relaxation iterations for differential systems ⋮ On the performance of parallel waveform relaxations for differential systems ⋮ Pseudospectra of wave from relaxation operators ⋮ Linear acceleration of Picard-Lindelöf iteration ⋮ Schwarz Waveform Relaxation with Adaptive Pipelining ⋮ Metodi waveform relaxation per la risoluzione numerica di grandi sistemi di equazioni differenziali ordinarie ⋮ Waveform relaxation methods for functional differential systems of neutral type ⋮ Chebyshev acceleration of Picard-Lindelöf iteration ⋮ Parallel methods for initial value problems ⋮ Limits of parallelism in explicit ODE methods ⋮ Efficient block predictor-corrector methods with a small number of corrections

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