Reduction of computational errors using nonstandard finite difference models

DOI10.1080/10236190412331304142zbMath1065.65104OpenAlexW2061648414MaRDI QIDQ4659934

Alicia Serfaty de Markus, Ronald E. Mickens

Publication date: 21 March 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190412331304142

zbMATH Keywords

numerical examplesbifurcationerror boundsdiscrete dynamical systemsnonlinear oscillatornonstandard finite difference schemessystems of nonlinear differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

• Unnamed Item
• Suppression of numerically induced chaos with nonstandard finite difference schemes
• Shadows, chaos, and saddles

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