DATE2016-11-10 16:10-17:00



TITLESymplecticity Preserving Solution for the Two-Component Camassa-Holm Equation

ABSTRACT In this talk a new finite difference scheme for solving two-component Camassa-Holm (CH) equation will be presented in detail. To simulate shallow water accurately, high-order scheme will be developed for the equivalent system of CH equations which contains only the first order derivative terms. In the space, fifth-order accurate combined compact difference (CCD) scheme is developed together with the sixth-order accurate compact scheme developed in a three-point stencil is developed for the Helmholtz equation. In the time frame, a symplectic Runge-Kutta scheme with sixth-order accuracy is proposed to preserve infinite number of conservation laws embedded in the two-component CH equation.