Stability of the Richardson extrapolation applied together with the \(\theta \)-method

DOI10.1016/j.cam.2010.05.052zbMath1201.65134OpenAlexW2094928232MaRDI QIDQ1959475

Ágnes Havasi, Zahari Zlatev, István Faragó

Publication date: 7 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.05.052

zbMATH Keywords

stabilitynumerical experimentsRichardson extrapolation\(\theta\)-methodsystems of ordinary differential equationsatmospheric chemistry scheme

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Uses Software

• LAPACK
• RODAS

Cites Work

• Richardson-extrapolated sequential splitting and its application
• Computational and numerical challenges in environmental modelling
• Numerical Integration of Damped Maxwell Equations
• Modified Diagonally Implicit Runge–Kutta Methods
• A special stability problem for linear multistep methods
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