理学论坛第一百零八次学术活动通知(邱建贤报告)
发布时间: 2017-05-24   浏览次数: 13

报告题目:A simple and efficient WENO method for hyperbolic conservation laws
报告人:邱建贤教授
报告人单位:厦门大学数学科学学院,福建省数学建模与高性能科学计算重点实验室
时间:2017年5月25日(周四)下午15:30-16:30
地点:教2-314(理学院会议室)
主办单位:理学院
报告内容简介:In this presentation, we present a simple high order weighted essentially non-oscillatory (WENO) schemes to solve hyperbolic conservation laws. The main advantages of these schemes presented in the paper are their compactness, robustness and could maintain good convergence property for solving steady state problems. Comparing with the classical WENO schemes by {G.-S. Jiang and C.-W. Shu, J. Comput. Phys., 126 (1996), 202-228}, there are two major advantages of the new WENO schemes. The first, the associated optimal linear weights are independent on topological structure of meshes, can be any positive numbers with only requirement that their summation equals to one, and the second is that the new scheme is more compact and efficient than the scheme by Jiang and Shu. Extensive numerical results are provided to illustrate the good performance of these new WENO schemes.
报告人简介:邱建贤教授目前为厦门大学数学科学学院闽江学者、特聘教授,Journal of Computational Physics (计算物理) 编委,中国计算数学学会常务理事。他的主要研究方向包括计算流体力学、求解双曲守恒律等方程的高分辨数值方法等。他在间断Galerkin(DG)方法和加权本质无振荡(WENO)方法方面取得了一系列的成果,共发表高水平学术论文80多篇。