On convergence conditions of waveform relaxation methods for linear differential-algebraic equations

DOI10.1016/j.cam.2010.11.031zbMath1222.65080OpenAlexW2066987718MaRDI QIDQ629556

Xi Yang, Zhong Zhi Bai

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.11.031

zbMATH Keywords

Laplace transformconvergenceinitial value problemsdifferential-algebraic equationswaveform relaxation methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Laplace transform (44A10) Numerical methods for differential-algebraic equations (65L80)

Related Items

Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations ⋮ Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions ⋮ Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems

Uses Software

• RODAS

Cites Work

• Dynamic iteration methods applied to linear DAE systems
• A survey of linear singular systems
• Convergence analysis of two-stage waveform relaxation method for the initial value problems
• Alternating splitting waveform relaxation method and its successive overrelaxation acceleration
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• Two‐step waveform relaxation methods for implicit linear initial value problems
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• A Note on the Spectra and Pseudospectra of Waveform Relaxation Operators for Linear Differential-Algebraic Equations
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