Efficient low-storage Runge-Kutta schemes with optimized stability regions

DOI10.1016/j.jcp.2011.09.003zbMath1243.65113OpenAlexW2087887080MaRDI QIDQ418960

Jens Niegemann, Richard Diehl, Kurt Busch

Publication date: 30 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.09.003

zbMATH Keywords

numerical examplesMaxwell's equationsstability regionmethod-of-linesdiscontinuous Galerkin time-domain methodlow-storage Runge-Kutta method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Maxwell equations (35Q61)

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Uses Software

• Mathematica
• GSL
• NLopt

Cites Work

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