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名 称 研究生教育创新计划高水平学术前沿讲座【Jaap van der Vegt】
题 目 Introduction to Multigrid Methods系列讲座
报告人 Jaap van der Vegt
时 间 0000-00-00 9:45~11:20
地 点 管理科研楼
详 细

 题目:Introduction to Multigrid Methods系列讲座

 报告人: Professor Jaap van der Vegt
 Department of Applied Mathematics, University of Twente
 时间: 2014年10月20日(1208教室), 10月22日(1208教室), 10月24日(1308教室), 10月27日(1208教室), 
10月29日(1208教室), 11月3日(1208教室)
 上午 9:45~11:20
 地点: 管理科研楼

课程内容简介:
Multigrid methods can provide very efficient iterative methods for the
solution of large systems of (non)linear algebraic equations, resulting for
instance from the discretization of partial differential equations. In a
multigrid method several coarsened approximations of the algebraic system
and well-designed smoothers are used to accelerate the convergence of the
iterative method. This can result in very efficient iterative methods, but
if one wants to develop new multigrid algorithms or understand the
performance of existing algorithms, then multilevel analysis is
indispensible. 
In this class an outline of basic multigrid and iterative methods will be
given and mathematical techniques to understand and predict their
performance will be discussed. No prior knowledge of multigrid or iterative
methods will be required. 
After this class you should be able to use basic iterative and multigrid
methods, analyze and (approximately) predict multigrid performance using
multilevel analysis and apply these techniques to improve and test multigrid
algorithms. The main applications will be from numerical discretizations of
partial differential equations.

Reference:
W.L. Briggs, Van Emden Henson, S.F. McCormick, A multigrid tutorial, second
edition, SIAM, ISBN 0-89871-462-1.
U. Trottenberg, C.W. Oosterlee, A. Schüller, Multigrid, Academic
Press,2000, ISBN-13: 978-0127010700

 
 
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