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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. |