Energy conserving successive multi-stage method for the linear wave equation

DOI10.1016/j.jcp.2022.111098OpenAlexW4214671692MaRDI QIDQ2139020

June-Yub Lee, Jaemin Shin

Publication date: 17 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111098

zbMATH Keywords

energy conservationlinear wave equationhigh-order time accuracysuccessive multi-stage (SMS) method

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical problems in dynamical systems (65Pxx)

Related Items

Energy-conserving successive multi-stage method for the linear wave equation with forcing terms

Cites Work

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• A high order compact time/space finite difference scheme for the wave equation with variable speed of sound
• Symplectic Hamiltonian HDG methods for wave propagation phenomena
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• Compact high order accurate schemes for the three dimensional wave equation
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• Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
• Order Conditions for Canonical Runge–Kutta Schemes
• Numerical methods for Hamiltonian PDEs
• Geometric Numerical Integration
• Finite-difference schemes for nonlinear wave equation that inherit energy conservation property