A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:274

Article

Miyatake, Yuto¹  Matsuo, Takayasu¹ 

[1] Univ Tokyo, Grad Sch Informat Sci & Technol, Dept Math Informat, Bunkyo Ku, Tokyo 1138656, Japan

关键词: Energy conservation/dissipation;    Discrete gradient method;    Discrete variational derivative method;    Dynamic grid adaptation;   

DOI  :  10.1016/j.cam.2014.06.027

来源: Elsevier

【 摘 要 】

An adaptive conservative or dissipative numerical method for nonlinear partial differential equations is established. The method not only inherits the conservation or dissipation property of the equation but also uses suitable non-uniform grids at each time step. Our numerical experiments indicate that the method is useful especially for localized solutions such as solitary wave solutions. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free