学院简介

深圳大学高等研究院是深圳大学于2014年成立的一个包含本科与研究生培养、侧重跨学科教学与学术研究的校内综合办学单位。作为深圳大学内部探索全面改革创新的学术特区,高等研究院与香港和海外著名高校合作,借鉴国内外研究型大学通行的管理模式,引进具有一流视野的资深教授和发展潜力的青年教师,营造与国际接轨的学术氛围和培养环境,开展卓越的教学、研究和管理工作。

新闻动态

高等研究院系列学术讲座一百四十

发布时间:2022-01-04 | 浏览次数:

Some Step-Size Independent Theoretical Bounds of Several Preconditioning Techniques for Partial Differential Equations

Speaker Dr. Xuelei LIN

Shenzhen JL Computational Science and Applied Research Institute


About the Speaker

Dr. Lin’s research interests are mainly focused on numerical linear algebra, including numerical methods for PDEs, fast iterative solvers for structured linear systems, tensor computation and its application in image processing. So far, he has published 15 papers in top journals in scientific computing. He is now a reviewer for Mathematical Reviews in American Mathematical Society.


Talk Introduction

It is well-known that the condition number of coefficient matrices arising from discretization of partial differential equations (PDEs) increases as the grid gets refined, because of which iterative solvers converges slowly for the linear systems when the grid is dense. In this talk, preconditioning techniques for discretization of some PDEs are introduced, with which some Krylov subspace solvers for the preconditioned systems are proven to have a linear convergence rate independent of the step-sizes. Numerical results are also reported.


时间:2022年1月5日上午10:00-11:00

地点:致知楼706会议室

All are welcome!