A new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion error

DOI10.1016/j.cam.2020.112841OpenAlexW3013039723MaRDI QIDQ1987444

Shuvam Sen, Subhajit Giri

Publication date: 15 April 2020

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.2020.112841

zbMATH Keywords

wave propagationtime integrationcomputational acousticsRunge-Kuttalow-dissipation low-dispersiondiagonally implicit

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

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

Uses Software

• RODAS

Cites Work

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