A general class of explicit pseudo--two-step RKN methods on parallel computers

DOI10.1016/S0898-1221(99)00211-4zbMath0936.65088MaRDI QIDQ1963130

Rüdiger Weiner, Karl Strehmel, Nguyen Huu Cong

Publication date: 20 January 2000

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

zbMATH Keywords

stabilityparallel computationRunge-Kutta-Nyström methodsstability regionsstepsize strategynon-stiff second-order differential equations

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (8)

Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs ⋮ Extended explicit pseudo two-step RKN methods for oscillatory systems \(y^{\prime\prime} + My = f(y)\) ⋮ Explicit pseudo two-step exponential Runge-Kutta methods for the numerical integration of first-order differential equations ⋮ 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 ⋮ 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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