Convergence of the parallel chaotic waveform relaxation method for stiff systems

DOI10.1016/S0377-0427(02)00749-5zbMath1016.65058MaRDI QIDQ1861322

Dongjin Yuan, Kevin Burrage

Publication date: 16 March 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesstiff systemsparallel algorithmwaveform relaxationmultisplitting

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Iterative numerical methods for linear systems (65F10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Discrete waveform relaxation method for linear fractional delay differential-algebraic equations ⋮ Waveform relaxation and comparison methods for multipoint boundary value problems

Cites Work

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• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• Convergence of relaxed chaotic parallel iterative methods
• Waveform Relaxation with Overlapping Splittings
• Multigrid Waveform Relaxation of Spatial Finite Element Meshes: The Continuous-Time Case
• Convergence of Waveform Relaxation Methods for Differential-Algebraic Systems
• A note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations

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