Convergence of parallel multistep hybrid methods for singular perturbation problems

DOI10.1016/j.amc.2009.08.004zbMath1178.65092OpenAlexW2142246346MaRDI QIDQ1039680

Yong-Xiang Zhao, Ai-Guo Xiao

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.004

zbMATH Keywords

stabilityconvergencecomparison of methodssingular perturbationnumerical examplesparallel computationerror analysisinitial value problemslinear multistep methodsstiff differential equationsbackward differentiation formula (BDF) methodsparallel multistep hybrid methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Singular perturbations for ordinary differential equations (34E15)

Related Items

Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods, Variational iteration method for singular perturbation initial value problems

Uses Software

• RODAS

Cites Work

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