Numerical smoothing of Runge-Kutta schemes

DOI10.1016/j.cam.2009.08.118zbMath1180.65086OpenAlexW2112230006MaRDI QIDQ1034659

Tong Sun

Publication date: 6 November 2009

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.2009.08.118

zbMATH Keywords

numerical stabilitylocal errorRunge-Kutta schemessmoothing functionnumerical smoothingpropagation error

Mathematics Subject Classification ID

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) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (1)

A smoothness/shock indicator for the RKDG methods

Cites Work

• Long-time error estimation for semilinear parabolic equations
• Survey of the stability of linear finite difference equations
• Stability and error analysis on partially implicit schemes
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