On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

DOI10.4208/cicp.OA-2021-0049zbMath1492.65206arXiv1712.04881WikidataQ115481483 ScholiaQ115481483MaRDI QIDQ5095226

Jian-Guo Liu, Lei Li, Zibu Liu, Zhennan Zhou, Yi Yang

Publication date: 5 August 2022

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

Full work available at URL: https://arxiv.org/abs/1712.04881

zbMATH Keywords

Runge-Kutta methodshyperbolicitynon-locality

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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)

Uses Software

• Matlab
• RODAS

Cites Work

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