Continuous variable stepsize explicit pseudo two-step RK methods

DOI10.1016/S0377-0427(98)00199-XzbMath0947.65085OpenAlexW2006433339MaRDI QIDQ1300800

Nguyen Huu Cong

Publication date: 2 September 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00199-x

zbMATH Keywords

systemsparallel computationerror estimatenonstiff problemsstepsize controlexplicit pseudo two-step Runge-Kutta methodsvariable stepsize strategy

Mathematics Subject Classification ID

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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Parallel predictor-corrector iteration of pseudo two-step RK methods for nonstiff IVPs ⋮ Parallel-iterated pseudo two-step Runge-Kutta methods with step size control ⋮ Two-step-by-two-step PIRK-type PC methods based on Gauss-Legendre collocation points ⋮ Improved parallel-iterated pseudo two-step RK methods for nonstiff IVPs ⋮ Twostep-by-twostep PIRK-type PC methods with continuous output formulas ⋮ Functionally fitted explicit pseudo two-step Runge-Kutta methods ⋮ Explicit pseudo two-step RKN methods with stepsize control ⋮ Numerical experiments with some explicit pseudo two-step RK methods on a shared memory computer

Cites Work

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