当前位置: 首页 > 学术报告
运筹学讨论班 - 计算数学分论坛
Fast Spectral-Galerkin Method: Algorithms, Analysis and Applications
Jie Shen教授,美国普渡大学
2018-01-01 12:13  华东师范大学

报告人: Jie Shen
Professor, Department of Mathematics, Purdue University
报告题目:
Fast Spectral-Galerkin Method: Algorithms, Analysis and Applications
报告时间:2009年6月30日 (星期二)下午:1:30-3:00
报告地点:闵行校区数学楼102报告厅
Abstract
In recent years, spectral methods have become increasingly popular among computational scientists and engineers because of their superior accuracy and efficiency when properly implemented. In this talk, I shall present fast spectral-Galerkin algorithms for some prototypical partial differential equations. These spectral-Galerkin algorithms have computational complexities which are comparable to those of finite difference and finite element algorithms, yet they are capable of providing much more accurate results with a significantly smaller number of unknowns. A key ingredient for the efficiency and stability of the spectral-Galerkin algorithms is to use (properly defined) generalized Jacobi polynomials as basis functions. I shall illustrate applications of these fast spectral-Galerkin algorithms to a number of scientific and engineering problems, including, nonlinear wave equations, acoustic scattering and mutli-phase flows.