A method of increasing the efficiency of algorithms for integrating ordinary differential equations by monitoring the stability

DOI10.1016/0041-5553(85)90138-7zbMath0597.65066OpenAlexW2016257265MaRDI QIDQ3730967

V. A. Novikov, Evgeny A. Novikov

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0041-5553(85)90138-7

zbMATH Keywords

controlstep sizeexplicit and implicit schemesone step methodsoptimal integration stepcontrol of error and stabilityselfstarting methodsstep forecast

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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