Explicit symmetric Runge-Kutta-Nyström methods for parallel computers

DOI10.1016/0898-1221(95)00198-0zbMath0849.65053OpenAlexW2069683697MaRDI QIDQ1913449

Nguyen Huu Cong

Publication date: 3 November 1996

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

Full work available at URL: https://ir.cwi.nl/pub/2632

zbMATH Keywords

stabilitynumerical testsparallel computationpredictor-corrector methodRunge-Kutta-Nyström method

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)

Related Items (11)

Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs ⋮ A family of explicit parallel Runge-Kutta-Nyström methods ⋮ A general class of explicit pseudo--two-step RKN methods on parallel computers ⋮ Fast convergence pirkn-type pc methods with adams-type predictors^∗ ⋮ Twostep-by-twostep continuous PIRKN-type PC methods for nonstiff IVPs ⋮ Explicit pseudo two-step RKN methods with stepsize control ⋮ Some procedures for the construction of high-order exponentially fitted Runge-Kutta-Nyström methods of explicit type ⋮ 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

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