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자연과학대학
수학전공
Journal papers
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Energy conserving successive multi-stage method for the linear wave equation
Title
Energy conserving successive multi-stage method for the linear wave equation
Authors
Shin J.
;
Lee J.-Y.
Ewha Authors
이준엽
SCOPUS Author ID
이준엽
Issue Date
2022
Journal Title
Journal of Computational Physics
ISSN
0021-9991
Citation
Journal of Computational Physics vol. 458
Keywords
Energy conservation
;
High-order time accuracy
;
Linear wave equation
;
Successive Multi-Stage (SMS) method
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
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.
DOI
10.1016/j.jcp.2022.111098
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