Energy conserving successive multi-stage method for the linear wave equation
- 주제(키워드) Energy conservation , High-order time accuracy , Linear wave equation , Successive Multi-Stage (SMS) method
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press Inc.
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000190368
- 본문언어 영어
- Published As https://doi.org/10.1016/j.jcp.2022.111098
초록/요약
We propose a new high-order multi-stage method to solve the linear wave equation in an unconditionally energy stable manner. This Successive Multi-Stage (SMS) method is extended from the Crank–Nicolson method and unconditional energy conservation is guaranteed. We develop up to the sixth-order SMS method using the order conditions for Runge–Kutta methods and provide mathematical arguments showing that the SMS method is a different branch from well-known high order energy preserving methods for Hamiltonian systems. We present a proof of the unique solvability and numerically demonstrate the accuracy and stability of the proposed methods compared with comparisons. © 2022 Elsevier Inc.
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