Local Stability of Euler's and Kahan's Methods

DOI10.1080/10236190410001659723zbMath1054.65075OpenAlexW2021433476MaRDI QIDQ4818303

Lih-Ing W. Roeger

Publication date: 28 September 2004

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

Full work available at URL: https://doi.org/10.1080/10236190410001659723

zbMATH Keywords

fixed pointsnumerical examplesconformal mappingsforward Euler's methodKahan's reflexive method

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

• An unconventional symplectic integrator of W. Kahan
• A nonstandard finite-difference scheme for the Lotka--Volterra system
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