Exponential integrators preserving local conservation laws of PDEs with time-dependent damping/driving forces

作     者：Bhatt, Ashish Moore, Brian E. 

作者机构：Univ Stuttgart Dept Math Stuttgart Germany Univ Cent Florida Dept Math Orlando FL 32816 USA 

出 版 物：《JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS》 (计算与应用数学杂志)

年 卷 期：2019年第352卷

页      面：341-351页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Conformal symplectic Multi-symplectic Structure-preserving algorithm Exponential integrators Damped-driven PDE 

摘      要：Structure-preserving algorithms for solving conservative PDEs with added linear dissipation are generalized to systems with time dependent damping/driving terms. This study is motivated by several PDE models of physical phenomena, such as Korteweg-de Vries, Klein-Gordon, Schrodinger, and Camassa-Holm equations, all with damping/driving terms and time-dependent coefficients. Since key features of the PDEs under consideration are described by local conservation laws, which are independent of the boundary conditions, the proposed (second-order in time) discretizations are developed with the intent of preserving those local conservation laws. The methods are respectively applied to a damped-driven nonlinear Schrodinger equation and a damped Camassa-Holm equation. Numerical experiments illustrate the structure-preserving properties of the methods, as well as favorable results over other competitive schemes. (C) 2018 Elsevier B.V. All rights reserved.