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Space-time domain decomposition methods for block implicit methods applied to evolution equations
报告人:李世顺教授,信阳师范大学 时间:2024年8月13日15:20 字号:

地点:行健楼学术活动室526

邀请人:王锋

摘要:One step block implicit methods (BIM) have desirable stability properties and provide higher-order of accuracy. In this talk, we first introduce several traditional time-stepping algorithms. Then we present a family of block implicit methods (BIM) which can be described by a BIM tableau including two matrices and two vectors. We prove that the traditional overlapping Schwarz theory for parabolic problems discretized by the backward Euler or Crank-Nicolson schemes can also be extended for BIM. Finally, some numerical results obtained on a parallel computer with thousands of processors are reported to demonstrate the effectiveness of BIM.

报告人简介:李世顺,博士,信阳师范大学特聘教授,硕士生导师。20116月博士毕业于浙江大学数学系。201311-201411月美国科罗拉多大学计算机系博士后,20181-201812月中国科学院深圳先进技术研究院访问学者。20207-202012月澳门大学访问学者。研究方向为区域分解方法和并行算法。目前主要研究时空并行区域分解算法的理论与应用。


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