报告题目：Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations

报告人：孙正杰 副教授 (南京理工大学)

报告时间：2022年4月22日 16:00-17:00

报告地点：腾讯会议 ID: 973-134-664

主持人：赵微

报告摘要：In this talk, we introduce a multi-symplectic quasi-interpolation method for solving multi-symplectic Hamiltonian partial differential equations. Based on the method of lines, we first discretize the multi-symplectic PDE using quasi-interpolation method and then employ appropriate time integrators to obtain the full-discrete system. The local conservation properties including multi-symplectic conservation laws, energy conservation laws and momentum conservation laws are discussed in detail. For illustration, we provide two concrete examples: the nonlinear wave equation and nonlinear Schrodinger equation. The salient feature of our multi-symplectic quasi-interpolation method is that it is valid both on uniform grids and nonuniform grids. The numerical results show the good accuracy and excellent conservation properties of the proposed method.

简介：孙正杰副教授博士毕业于复旦大学数学科学学院，于2018年入选“香江学者计划”并赴香港浸会大学访问凌立云教授，主要从事径向基函数拟插值方法的研究，并将改进所得的迭代拟插值方法应用于求解高维PDE，相关研究成果主要发表在 Journal of computational physics, Numerical Algorithms等期刊上，目前已经发表高水平SCI文章多篇。