研究生教育创新计划高水平学术前沿讲座

报告题目：Introduction to Multigrid Methods系列讲座

报 告 人：Professor Jaap van der Vegt    Department of Applied Mathematics, University of Twente

报告时间：2013年5月14日, 5月16日, 5月21日, 5月23日, 5月28日, 5月30日
          上午 9:45~11:20

报告地点：管理科研楼1518室

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.

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