A necessary condition forB-stability

DOI10.1007/BF01931228zbMath0397.65054OpenAlexW2332581592MaRDI QIDQ4181214

Rudolf Scherer

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01931228

zbMATH Keywords

Ordinary Differential EquationsNumerical MethodsInitial Value ProblemsRunge-Kutta MethodsB-Stability

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

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Cites Work

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• A short proof on nonlinearA-stability
• A stability property of implicit Runge-Kutta methods
• A note on Radau and Lobatto formulae for O.D.E.: s
• High order a-stable methods for the numerical solution of systems of D.E.'s