Explicit a-priori error bounds and adaptive error control for approximation of nonlinear initial value differential systems

DOI10.1016/j.camwa.2005.12.004zbMath1134.65354OpenAlexW2059929607MaRDI QIDQ2477236

D. A. Polignone Warne, Paul G. Warne, G. Edgar Parker, David C. Carothers, James S. Sochacki

Publication date: 13 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.12.004

zbMATH Keywords

initial value problemspower seriesTaylor approximationsa-priori error bounds

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

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