On the convergence of continuous-time waveform relaxation methods for singular perturbation initial value problems

DOI10.1155/2012/241984zbMath1251.65104OpenAlexW2054662469WikidataQ58906431 ScholiaQ58906431MaRDI QIDQ1760597

L. Li, Yong-Xiang Zhao

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1155/2012/241984

zbMATH Keywords

continuous-time waveform relaxation methodsingular perturbation initial value problems

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions

Cites Work

• Time-point relaxation Runge-Kutta methods for ordinary differential equations
• A parallel boundary value technique for singularly perturbed two-point boundary value problems
• The waveform relaxation method for systems of differential/algebraic equations
• Remarks on waveform relaxation method with overlapping splittings
• Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.
• Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations.
• A numerical algorithm for singular perturbation problems exhibiting weak boundary layers.
• On the convergence of waveform relaxation methods for stiff nonlinear ordinary differential equations
• Convergence results for continuous-time waveform methods for Volterra integral equations
• An efficient numerical method for singular perturbation problems

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