ncku-talk2016-11-10

Colloquium

DATE 2016-11-10　16:10-17:00

PLACE 數學館3174教室

SPEAKER 許文翰終身特聘教授（台灣大學工科海洋系暨數學系）

TITLE Symplecticity 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.

Colloquium

DATE	2016-11-10　16:10-17:00

PLACE	數學館3174教室

SPEAKER	許文翰終身特聘教授（台灣大學工科海洋系暨數學系）

TITLE	Symplecticity 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.