Weak Nonlinear Stability of Implicit Runge-Kutta Methods

DOI10.1093/imanum/12.1.57zbMath0747.65057OpenAlexW1979561928MaRDI QIDQ3989257

G. J. Cooper

Publication date: 28 June 1992

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/12.1.57

zbMATH Keywords

nonlinear stabilitymonotonicity conditionimplicit Runge-Kutta methodsBN-stability

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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