A Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation

作者：Matsuo Takayasu^*

来源：Journal of Computational and Applied Mathematics, 2010, 234(4): 1258-1266.

DOI：10.1016/j.cam.2009.09.020

• Galerkin method
• Finite-element method
• Conservation
• Camassa-Holm equation

A new Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation is presented. The scheme has an additional welcome feature that in exact arithmetic it is unconditionally stable in the sense that the solution is always bounded. Numerical examples that confirm the theory and the effectiveness of the scheme are also given.

• 出版日期2010-6-15