Order stars and stiff integrators

DOI10.1016/S0377-0427(00)00461-1zbMath0988.65059OpenAlexW2086371447MaRDI QIDQ1841947

Gerhard Wanner, Ernst Hairer

Publication date: 14 July 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00461-1

zbMATH Keywords

stability\(A\)-stabilityimplicit Runge-Kutta methodsstiff systemorder star diagram

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation ⋮ Relative error stability and instability of matrix exponential approximations for stiff numerical integration of long-time solutions ⋮ Stability by order stars for non-linear theta-methods based on means

Uses Software

• RADAU
• RODAS

Cites Work

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• A special stability problem for linear multistep methods

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