报告题目:A symplectic procedure for two-dimensional coupled seismic wave equations using radial basis functions interpolation
报告人：张胜良 博士
报告时间：下午15:00—16:00
报告地点：理A110
博学堂讲座预告
报告题目：A symplectic procedure for two-dimensional coupled seismic wave equations using radial basis functions interpolation
报告时间：2017.10.20 (周五) 下午15:00—16:00
报告地点：理A110
报告人：张胜良 复旦大学数学科学学院 应用数学博士
摘要：This study proposes a meshless symplectic algorithm for two-dimensional coupled seismic waves, which satisfy the equations of linear isotropic elasticity on a rectangular domain with appropriate initial and boundary conditions. This method is based on a combination of radial basis functions (RBFs) collocation methods and geometric integrators. The method involves two steps, first the spatial discretization by using RBFs interpolation transforms the eismic waves into a finite-dimensional Hamiltonian system, then evolve the semi-discretized system by using symplectic integrators. Furthermore, the conservations of energy and symplectic structure are investigated. Moreover, the truncation error and global error of the method are estimated. Numerical experiments show that the scheme is efficient, easy to implement with the scattered knots and possess a good behavior in the long time integration.
本报告为专业性介绍报告，欢迎广大本科生、研究生前来参加。
报告人简介：
张胜良，担任Engineering Analysis with Boundary Elements、Computers and Mathematics with Applications等SCI的期刊的审稿人,现工作于浙江外国语学院。他2013年毕业于复旦大学，主修应用数学，从事数值逼近、无网格算法、微分方程数值解、金融衍生品数值定价等领域的研究。在国际学术刊物如Engineering Analysis with Boundary Elements、Computers and Mathematics with Applications、Journal of Computational and Applied Mathematics、Journal of Financial engineering、Applied Mathematics and Computation 等发表论文近十篇。