Chaotic waveform relaxation methods for dynamical systems

DOI10.1016/0096-3003(95)00250-2zbMath0858.65068OpenAlexW2049763814MaRDI QIDQ1920451

Yong-Zhong Song

Publication date: 25 March 1997

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

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00250-2

zbMATH Keywords

convergenceparallel computationinitial value problemsdifferential-algebraic equationswaveform relaxation methodslarge dynamical systemschaotic waveform relaxation methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical systems and ergodic theory (37-XX)

Cites Work

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• Convergence and comparisons of waveform relaxation methods for initial value problems of linear ODE systems
• Remarks on Picard-Lindelöf iteration. II
• Sets of convergence and stability regions
• Dynamic iteration methods applied to linear DAE systems
• Remarks on Picard-Lindelöf iteration
• Convergence of Dynamic Iteration Methods for Initial Value Problems

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