A note on windowing for the waveform relaxation method

DOI10.1016/0096-3003(95)00149-2zbMath0846.65032OpenAlexW2087673661MaRDI QIDQ1914658

Hong Zhang

Publication date: 1996

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

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00149-2

zbMATH Keywords

convergencenumerical examplesoperator splittingwaveform relaxation methodwindowing

Mathematics Subject Classification ID

Heat equation (35K05) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

Windowing waveform relaxation of initial value problems ⋮ Discrete waveform relaxation method for linear fractional delay differential-algebraic equations ⋮ A windowing waveform relaxation method for time-fractional differential equations ⋮ Symplectic waveform relaxation methods for Hamiltonian systems

Cites Work

• The use of Runge-Kutta formulae in waveform relaxation methods
• Rapid convergence of waveform relaxation
• Sets of convergence and stability regions
• Remarks on Picard-Lindelöf iteration
• Waveform methods for space and time parallelism
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• Estimating Waveform Relaxation Convergence
• Waveform Relaxation with Overlapping Splittings
• On the Multigrid Waveform Relaxation Method

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