On spurious fixed points of Runge-Kutta methods

DOI10.1006/jcph.1996.5615zbMath0877.65050OpenAlexW2054451882MaRDI QIDQ1357361

Fernando Vadillo

Publication date: 20 July 1997

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1996.5615

zbMATH Keywords

dynamical systemRunge-Kutta methodsbifurcation theorylogistic equationsingularity theoryspurious fixed pointsautonomous scalar differential 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

On the susceptibility of numerical methods to computational chaos and superstability ⋮ Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations

Uses Software

• RODAS

Cites Work

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• Stability and Dynamics of Numerical Methods for Nonlinear Ordinary Differential Equations
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations

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