Explicit pseudo two-step RKN methods with stepsize control

DOI10.1016/S0168-9274(01)00031-9zbMath0983.65087OpenAlexW2115524322MaRDI QIDQ5939896

Nguyen Huu Cong

Publication date: 2 January 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00031-9

zbMATH Keywords

parallel computationsecond-order differential equationserror estimatevariable stepsizetest problemsembedded formulasnonstiff problemsstepsize controltwo-step Runge-Kutta-Nyström 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (7)

Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs ⋮ Extended explicit pseudo two-step RKN methods for oscillatory systems \(y^{\prime\prime} + My = f(y)\) ⋮ A general class of explicit pseudo--two-step RKN methods on parallel computers ⋮ Explicit pseudo two-step exponential Runge-Kutta methods for the numerical integration of first-order differential equations ⋮ Twostep-by-twostep continuous PIRKN-type PC methods for nonstiff IVPs ⋮ Two-step-by-two-step PIRKN-type PC methods based on Gauss-Legendre collocation points for nonstiff IVPs ⋮ Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs

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