报告题目：Particular Solutions for Solving Elliptic Partial Differential Equations Using Polynomial Basis Functions

报告人：Prof. Ching-Shyang Chen

报告时间：2017年6月9日16:00

报告地点：清水河校区主楼A1-512

报告摘要：

In the past, polynomial particular solutions have been obtained for certain types of partial differential operators without convection terms. In this talk, a closed-form particular solution for more general partial differential operators with constant coefficients has been derived for polynomial basis functions. The newly derived particular solution is further coupled with the method of particular solutions (MPS) for numerically solving a large class of elliptic partial differential equations. In contrast to the use of Chebyshev polynomial basis functions, the proposed approach is more flexible in selecting the collocation points inside the domain. The polynomial basis functions are well-known for yielding ill-conditioned systems when their order becomes large. The multiple scale technique is applied to circumvent the difficulty of ill-conditioning problem.

报告人简介：

C.S. Chen is Professor of Mathematics at University of Southern Mississippi. He served as the Department Chair at Southern Mississippi during 2005-2010. Prior to joining Southern Mississippi, Dr. Chen served as a faculty member at University of Nevada, Las Vegas for seventeen years. In 2010, Dr. Chen was awarded “Distinguished Fellowship for Overseas Scholars”, a five years research fellowship, by the Ministry of Education in China. In 2011, Dr. Chen received another fellowship “A 100 Talented Overseas Research Fellowship”, a three years research project, from China.