Partially Implicit Runge-Kutta Methods for Wave-Like Equations

DOI10.1007/978-3-319-06953-1_26zbMath1326.65119arXiv1211.5930OpenAlexW375363172WikidataQ57693165 ScholiaQ57693165MaRDI QIDQ3448894

Pablo Cerdá-Durán, Isabel Cordero-Carrión

Publication date: 27 October 2015

Published in: Advances in Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5930

zbMATH Keywords

stabilityconvergencenumerical exampleRunge-Kutta methodsemidiscretization

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

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• Total variation diminishing Runge-Kutta schemes
• Central Differencing Based Numerical Schemes for Hyperbolic Conservation Laws with Relaxation Terms
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Numerical Methods for Ordinary Differential Equations

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