Automatic step size and order control in explicit one-step extrapolation methods

DOI10.1134/S0965542508080058zbMath1199.65262OpenAlexW2122027015MaRDI QIDQ3647825

Ekaterina Yu. Khrustaleva, G. Yu. Kulikov

Publication date: 24 November 2009

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542508080058

zbMATH Keywords

numerical examplesorder controlstepsize controlexplicit one-step extrapolation methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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)

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Efficient error control in numerical integration of ordinary differential equations and optimal interpolating variable-stepsize peer methods ⋮ Automatic step size and order control in implicit one-step extrapolation methods

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