Convergence conditions on waveform relaxation of general differential-algebraic equations

DOI10.1080/00207160903128489zbMath1208.65120OpenAlexW2050702187MaRDI QIDQ3066991

Yao-Lin Jiang

Publication date: 20 January 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160903128489

zbMATH Keywords

convergencedifferential-algebraic equationswaveform relaxationlow or high index

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 differential-algebraic equations (65L80)

Related Items

Some convergence results of waveform relaxation for a class of second-order quasilinear parabolic equations ⋮ Preconditioners for Schwarz relaxation methods applied to differential algebraic equations

Cites Work

• Convergence analysis of waveform relaxation for nonlinear differential-algebraic equations of index one
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
• Convergence properties of waveform relaxation circuit simulation methods
• A General Approach to Waveform Relaxation Solutions of Nonlinear Differential-Algebraic Equations: The Continuous-Time and Discrete-Time Cases
• On Time-Domain Simulation of Lossless Transmission Lines with Nonlinear Terminations
• Dynamic Iteration Using Reduced Order Models: A Method for Simulation of Large Scale Modular Systems
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