Rapid convergence of waveform relaxation

DOI10.1016/0168-9274(93)90049-WzbMath0789.65051OpenAlexW2041146028MaRDI QIDQ686555

Benedict J. Leimkuhler, Albert E. Ruehli

Publication date: 10 October 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(93)90049-w

zbMATH Keywords

convergencewaveform relaxationinterconnection modelsVLSI circuit simulation

Mathematics Subject Classification ID

Hardware implementations of nonnumerical algorithms (VLSI algorithms, etc.) (68W35) Iterative numerical methods for linear systems (65F10) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

Windowing waveform relaxation of initial value problems ⋮ Preconditioning waveform relaxation iterations for differential systems ⋮ A note on windowing for the waveform relaxation method ⋮ A windowing waveform relaxation method for time-fractional differential equations ⋮ Schwarz Waveform Relaxation with Adaptive Pipelining ⋮ CWI contributions to the development of parallel Runge-Kutta methods ⋮ GPU-acceleration of waveform relaxation methods for large differential systems ⋮ Nonnegativity of solutions of nonlinear fractional differential-algebraic equations

Cites Work

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• Massive parallelism across space in ODEs
• Remarks on Picard-Lindelöf iteration. II
• Dynamic iteration methods applied to linear DAE systems
• Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• Estimating Waveform Relaxation Convergence
• Iterative Methods for Elliptic Problems and the Discovery of “q”
• Waveform relaxation for linear RC-circuits

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