An improvement for parallel-iterated Runge-Kutta-Nyström methods

zbMath0881.65075MaRDI QIDQ1373081

Nguyen Huu Cong

Publication date: 16 February 1998

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

convergenceparallel computationRunge-Kutta-Nyström methodsextrapolationcollocationpredictor-corrector methods

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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (9)

Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial-value problems ⋮ Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs ⋮ Collocation-based two-step Runge-Kutta methods ⋮ A general class of explicit pseudo--two-step RKN methods on parallel computers ⋮ Twostep-by-twostep continuous PIRKN-type PC methods for nonstiff IVPs ⋮ Explicit pseudo two-step RKN methods with stepsize control ⋮ 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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