走向现代数学学术报告 - 林学磊助理教授（No. 617）

报告题目：Step-size independent theoretical bounds for preconditioning techniques

报告人：林学磊 助理教授(哈尔滨工业大学（深圳）)

报告时间: 2023年5月24日 15:00

报告地点：学术报告厅(工西416)

摘要：It is well-known that the condition number of coefficient matrices arising from discretization of differential equations 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 dicretization of some differential equations 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.

报告人简介：主要从事数值线性代数方面的研究，包括偏微分方程数值解，结构线性系统的快速迭代法，张量计算在图像处理方面的应用，已在J. Comput. Phys., SIAM J. Matrix Anal. Appl., J. Sci. Comput., BIT. Numerische Mathematik, SIAM J. Numer. Anal.,等刊物以第一作者或通讯作者身份发表论文10余篇。曾在“第九届世界华人数学家大会”上，获2022年“新世界数学奖”博士论文银奖。目前是SIAM J. Sci. Comput., Comput. Math. Appl., J. Sci. Comput., BIT, Philos. Trans. R. Soc. A, Int. J. Comput. Math., Numer. Linear Algebra Appl.等国际知名期刊的审稿人，是美国《数学评论》(Mathematical Reviews)评论员。