Combined nonstandard numerical methods for ODEs with polynomial right-hand sides

DOI10.1016/j.matcom.2006.06.008zbMath1105.65084OpenAlexW2089420140MaRDI QIDQ853223

Hristo V. Kojouharov, Dobromir T. Dimitrov, Benito M. Chen-Charpentier

Publication date: 15 November 2006

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.06.008

zbMATH Keywords

numerical examplesfinite-differencenonstandard schemeautonomus dynamical systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

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• Nonstandard Eulerian-Lagrangian methods for multi-dimensional reactive transport problems
• Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systems
• Contributions to the mathematics of the nonstandard finite difference method and applications
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator

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