报告题目：Meshless Symplectic and Multi-symplectic Local RBF Collocation Methods for Hamiltonian PDEs

报告所属学科：管理科学与工程

报告人：张胜良（南京林业大学）

报告时间：2022年11月9日 14:30-15:30

报告地点：腾讯会议：163-926-691

报告摘要：

This study presents a novel meshless symplectic and multi-symplectic local radial basis function (RBF) collocation method (LRBFCM) for Hamiltonian partial differential equations. Specifically, the nonlinear wave equation and nonlinear Schrödinger equation are considered. The discretization in space is based on LRBFCM and then in time by symplectic integrator. The conservativeness of the method is explored and the accuracy is assessed. The LRBFCM is simple and efficient, since it can avoid the ill-conditioned problem and shape-parameter sensitivity of global RBF method. Numerical experiments with uniform knots and random knots are designed to illustrate the effectiveness of the method.

报告人简介：

张胜良，现任南京林业大学经济管理学院副教授。曾就读于复旦大学数学科学学院，获理学博士学位。主要研究方向包括径向基无网格算法、保结构算法、金融衍生品数值定价研究。曾在相关领域期刊，如《Acta Mathematica Scientia》、《Journal of Computational Physics》、《Journal of Scientific Computing》、《Journal of Computational and Applied Mathematics》、《Computers and Mathematics with Applications》等期刊发表高质量论文20余篇。