报告题目 (Title)：An adaptive MPS--MFS using ghost point method and effective condition number（使用虚拟中心点和有效条件数的自适应MPS-MFS方法）

报告人 (Speaker)： C.S. Chen 教授（美国南密西西比大学）

报告时间 (Time)：2023年10月31日(周二) 10:00

报告地点 (Place)：腾讯会议 614-475-212

邀请人(Inviter)：李新祥

主办部门：理学院数学系

报告摘要：In recent years, the ghost point method has been introduced to enhance the performance of the evaluation of particular solutions using radial basis functions (RBFs). The main idea of the ghost point method is to distribute the centers outside the domain. As a result, the so-called one-step hybrid MPS--MFS has three parameters to be determined for its optimal performance. In this paper, we propose applying effective condition numbers with an adaptive method for the optimal selection of these three parameters to achieve stable and high accuracy. Five numerical examples are presented to demonstrate the effectiveness of the proposed approach.