A \(P\)-stable eighth-order method for the numerical integration of periodic initial-value problems

DOI10.1006/jcph.1996.5567zbMath0870.65072OpenAlexW2023384841MaRDI QIDQ675188

Ch. Tsitouras, Theodore E. Simos

Publication date: 17 September 1997

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1996.5567

zbMATH Keywords

stabilityperiodic solutionhigh-order methodperiodic initial value problem\(P\)-stabilitysecond order test equationsymmetric two-step methods

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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