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摘要
In this paper, we develop, analyze, and test a local discontinuous Galerkin ( LDG) method for solving the Camassa-Holm equation which contains nonlinear high-order derivatives. The LDG method has the. exibility for arbitrary h and p adaptivity. We prove the L(2) stability for general solutions and give a detailed error estimate for smooth solutions, and provide numerical simulation results for different types of solutions of the nonlinear Camassa-Holm equation to illustrate the accuracy and capability of the LDG method.
- 出版日期2008
- 单位中国科学技术大学
