A- and B-stability for Runge-Kutta methods - characterizations and equivalence

DOI10.1007/BF01389646zbMath0614.65077OpenAlexW2039589520MaRDI QIDQ1819898

Ernst Hairer

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133076

zbMATH Keywords

A-stabilityRunge-Kutta methodsB-stabilityW-transformation

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)

Related Items

The dichotomy of stiffness: Pragmatism versus theory, Highly stable parallel Runge-Kutta methods, Runge-Kutta methods: Some historical notes, On the construction of stiffly accurate and \(B\)-stable Runge-Kutta methods

Cites Work

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• A special stability problem for linear multistep methods