Speaker: Y Xu
Affiliation: University of Science and Technology of China
Talk Title: Local discontinuous Galerkin methods for the integrable nonlinear hyperbolic equations
Invited by: Chi-Wang Shu
Time: Feb. 06 2009 11 a.m.
Location: 182 George Street, Room 110
Abstract:
In this talk, we discuss local discontinuous Galerkin (LDG) methods for solving the integrable nonlinear hyperbolic equations which contain nonlinear high order derivatives. The equations contains the Camassa-Holm equation which is an integrable model equation for shallow water waves, the Hunter-Saxton equation which is the high-frequency limit of the Camassa-Holm equation and the Degasperis-Procesi equation which has a similar form to the limiting case of the Camassa-Holm equation. The stabillty and the error estimates of the LDG methods will be discussed. Numerical simulation results for different types of solutions illustrate the accuracy and capability of the LDG methods.
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