A note on iterated splitting schemes

DOI10.1016/j.cam.2006.02.008zbMath1110.65061OpenAlexW2115304074MaRDI QIDQ869530

Laura Portero, Willem H. Hundsdorfer

Publication date: 8 March 2007

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.2006.02.008

zbMATH Keywords

stabilityconsistencyinitial value problemsstiff systemsRunge-Kutta methodsplitting methods

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

On Richardson extrapolation for low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes ⋮ Operator-splitting methods in respect of eigenvalue problems for nonlinear equations and applications for Burgers equations ⋮ On the Richardson Extrapolation as Applied to the Sequential Splitting Method ⋮ Richardson-extrapolated sequential splitting and its application

Uses Software

• RODAS

Cites Work

• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Fractional step Runge-Kutta methods for time dependent coefficient parabolic problems
• Stability results for fractional step discretizations of time dependent coefficient evolutionary problems
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