Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods

DOI10.1016/j.cam.2016.03.018zbMath1348.65114OpenAlexW2329721603MaRDI QIDQ311446

Ágnes Havasi, Krassimir Georgiev, Zahari Zlatev, Ivan T. Dimov, István Faragó

Publication date: 13 September 2016

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.2016.03.018

zbMATH Keywords

stabilitynumerical exampleRichardson extrapolationimplicit Runge-Kutta methodsstiff systematmospheric chemical schemesystems of ODEs

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Meteorology and atmospheric physics (86A10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items

Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation ⋮ A new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion error ⋮ Operator splitting for chemical reaction systems with fast chemistry

Uses Software

• LAPACK
• LAPACK95
• RODAS

Cites Work

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