报告题目：Development of high-order structure-preserving finite difference schemes for solving few integrable equations

报告人：�文翰 工程科��海洋工程�系,��大�

               理�科�研究中心(CASTS),��大�

               高效能�科��算技�研究中心,��大� 

时间： 2018年8月6日 下午 3:00-4:00  

地点： 管理科研楼  1218

摘要：

In this talk, a class of implicit and explicit high-order finite difference schemes developed in SCCS for solving some distinguished integrable equations will be presented. For retaining the Hamiltonian nature of the equations under investigation, symplectic temporal schemes rendering a second-order accurate explicit scheme and a sixth-order accurate implicit scheme have been developed. For retaining dispersive nature of the equations under investigation, we minimize the error between the numerical and exact dispersion relation equations. In this presentation, one/two-component Camassa-Holm equations, Degasperis-Procesi equation, one/two-component Hunter-Saxton equations and cubic nonlinear Schrödinger equation are considere