Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs

JOURNAL OF COMPUTATIONAL PHYSICS

卷:401

Article

Cai, Jiaxiang¹  Shen, Jie² 

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

关键词: Multi-symplectic;    Hamiltonian PDE;    Energy-preserving;    Stability;    IEQ;   

DOI  :  10.1016/j.jcp.2019.108975

来源: Elsevier

【 摘 要 】

Two classes of efficient and robust schemes are proposed for the general multi-symplectic Hamiltonian systems using the invariant energy quadratization (IEQ) approach. The schemes are linear, second-order accurate, local energy-preserving, and preserve the global energy. They are not restricted to specific forms of the nonlinear part of the state function, and only require solving linear equations at each time step. We applied the new schemes to various multi-symplectic Hamiltonian PDEs to demonstrate their effectiveness, computational efficiency and accuracy. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free