An approximation algorithm for quadratic dynamic systems based on N. Chomsky's grammar for Taylor's formula

DOI10.1134/S0081543816050023zbMath1353.65069MaRDI QIDQ338010

Abdulla A. Azamov, M. A. Bekimov

Publication date: 3 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmCauchy problemTaylor's formulaerror estimateremainder termone-step methodcontext-free grammardynamic systemquadratic system of equations

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) Error bounds for numerical methods for ordinary differential equations (65L70) Grammars and rewriting systems (68Q42)

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