Development of a numerical phase optimized upwinding combined compact difference scheme for solving the Camassa-Holm equation with different initial solitary waves-Reference-Cited by-同舟云学术

Development of a numerical phase optimized upwinding combined compact difference scheme for solving the Camassa-Holm equation with different initial solitary waves

Published:2015-02-12 Issue:5 Volume:31 Page:1645-1664
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Yu C. H.¹²,Sheu Tony W. H.²³⁴,Chang C. H.⁴,Liao S. J.⁵

Affiliation:

1. Department of Ocean Science and Engineering; Zhejiang University; Yuhangtang Road Hangzhou Zhejiang People's Republic of China

2. Department of Engineering Science and Ocean Engineering; National Taiwan University; No. 1, Sec. 4, Roosevelt Road Taipei Taiwan Republic of China

3. Institute of Applied Mathematical Sciences, Department of Mathematics; National Taiwan University; Taipei Taiwan Republic of China

4. Center of Advanced Study in Theoretical Sciences (CASTS), Department of Mathematics; National Taiwan University; Taipei Taiwan Republic of China

5. School of Naval Architecture, Ocean and Civil Engineering; Shanghai Jiao Tong University; Shanghai China

Funder

Fundamental Research Funds for the Central Universities

National Science Council

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference40 articles.

1. Long-time asymptotics for the Camassa-Holm equation;Monvel;SIAM J Math Anal,2009

2. Wave structure and nonlinear balances in a family of evolutionary PDEs;Holm;SIAM J Appl Dyn Syst,2003

3. On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa-Holm equation;Sheu;J Comput Phys,2011

4. Global conservative solutions of the Camassa-Holm equation-a Lagrangian point of view;Holden;Comm Partial Diff Equat,2006

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Local Discontinuous Galerkin Methods for the Two-Dimensional Camassa–Holm Equation;Communications in Mathematics and Statistics;2018-07-19