Stability of a multi-rate method for numerical integration of ODE's

DOI10.1016/0898-1221(93)90218-KzbMath0771.65037OpenAlexW2020502171MaRDI QIDQ1203707

Jan Frederick Andrus

Publication date: 22 February 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90218-k

zbMATH Keywords

extrapolationexplicit Runge-Kutta methodsstability regionsmultiratenonlinear initial value problem

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)

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Cites Work

• Formulas for modular integration of systems of ODE's
• Numerical Solution of Systems of Ordinary Differential Equations Separated into Subsystems