数学讲坛
发布于:2017-07-05 11:12:00   |   作者:[学院] 数学学院   |   浏览次数:398
时间:7月12日(星期三)11:00-12:00
地址:清水河校区主楼A1-512
主办:数学学院
承办:数学学院
范围:全校

报告题目High order total variation bounded finite difference method for one-dimensional conservation laws

Zhengfu Xu

报告时间:712日(星期三)11:00-12:00

报告地点:清水河校区主楼A1-512

 

报告摘要:Provable total variation bounded high order (at least third order) method based on variation measured on grid values will be discussed in this talk. Most of the conventional design of TVB methods is based on Harten's criteria. However, to strictly follow Harten's TVD criteria, one can only provide methods of at most second order. Popular ENO/WENO methods are very successful in producing robust numerical results with great performance of suppressing oscillations around discontinuities. However, it is still elusive to prove ENO/WENO methods are TVB. As one of the most important properties we desire for numerical methods solving conservation laws, provable TVB property is at the center of this talk. A new criteria will be provided to design TVB high order finite difference scheme for one-dimensional problems. 

 

报告人简介:徐正富副教授现任职于美国密西根理工大学数学科学系,分别于1997年和2000年于北京大学计算数学专业获得学士和硕士学位,2005年美国布朗大学获得博士学位。2005-2008年和2008-2011年分别在宾州州立,密西根州立大学担任助理教授。目前主要研究兴趣为高阶有限差分和有限体积ENO/WENO方法的应用、非线性光学、数学图像处理、计算高分子化学等。在SIAM Journal on Scienti_c Computing、Journal of Computational Physics,等期刊发表学术论文近三十篇。