Explicit parallel two-step Runge-Kutta-Nyström methods

DOI10.1016/0898-1221(96)00117-4zbMath0858.65076OpenAlexW2170090169MaRDI QIDQ1816674

Yanyan Li

Publication date: 19 December 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/150

zbMATH Keywords

numerical experimentstwo-step Runge-Kutta-Nyström methodsparallel computerssecond-order equationparallel predictor-corrector iteration

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items (13)

Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs ⋮ Explicit symmetric Runge-Kutta-Nyström methods for parallel computers ⋮ A general class of explicit pseudo--two-step RKN methods on parallel computers ⋮ A general framework for the numerical solution of second order odes ⋮ Fast convergence pirkn-type pc methods with adams-type predictors^∗ ⋮ A class of explicit parallel two-step Runge-Kutta methods ⋮ Twostep-by-twostep continuous PIRKN-type PC methods for nonstiff IVPs ⋮ Explicit pseudo two-step RKN methods with stepsize control ⋮ Explicit pseudo two-step runge-kutta methods for parallel computers^∗ ⋮ Parallel block pc methods with rkn-type correctors and adams-type predictors^∗ ⋮ Two-step-by-two-step PIRKN-type PC methods based on Gauss-Legendre collocation points for nonstiff IVPs ⋮ RKN-type parallel block PC methods with Lagrange-type predictors ⋮ Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs

Cites Work

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• Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial-value problems
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• A One-step Method of Order 10 for y″ = f(x, y)
• Eine Runge-Kutta-Nyström-Formel 9-ter Ordnung mit Schrittweitenkontrolle für Differentialgleichungenx =f(t, x)

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