Phase error analysis of implicit Runge-Kutta methods: new classes of minimal dissipation low dispersion high order schemes

DOI10.1007/s10915-023-02220-7zbMath1516.65052arXiv1804.07979OpenAlexW4377140893MaRDI QIDQ6159252

Subhajit Giri, Shuvam Sen

Publication date: 20 June 2023

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07979

zbMATH Keywords

wave propagationimplicit Runge-Kutta methodtemporal integrationcomputational acousticsminimal dissipationlow dispersion

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical integration (65D30) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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