报告题目 (Title)：Parallel Numerical Methods for Solving Nonlinear Evolution Equations（非线性发展方程的并行计算方法）
报告人 (Speaker)：Thiab Taha 教授（University of Georgia）
报告时间 (Time)：2026年5月15日（周五）13:00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：李常品、蔡敏
主办部门：理学院数学系
报告摘要：Recently, there has been a lot of theoretical and numerical research in order to study the role of nonlinear terms in Korteweg-de Vries-like equations K(m, n). Numerical simulations of solutions of K(m, 1) confirm that its solitary-wave solutions are unstable if m > 4, and in fact, that neighboring solutions emanating from smooth initial data appear to form singularities in finite time. On the other hand, numerical simulations of solutions of K(m, n), for certain values of m and n, have shown that their solitary wave solutions have compact support. In this talk, an accurate numerical scheme based on a combination of finite difference and inverse scattering transform scheme is used to investigate the above results. A parallel algorithm for the implementation of this scheme on parallel computers is presented and the numerical results are discussed.
