报 告 人：Martin J. Gander

　　报告地点：数学与统计学院104室

　　报告时间：2014年11月13日星期四10:00

　　报告简介：Time dependent nonlinear partial differential equations, like for example reaction diffusion equations, are usually solved by classical time marching schemes, like Runge-Kutta methods, or linear multi-step methods. Such equations can however have solutions which blow up in finite time, and in the blowup regime, the behavior of the solution is dominated by the non-linearity. I will show two different approaches how one can construct specialized numerical time integrators which take into account the physics of the underlying non-linear problem. I will show both theoretically and numerically that their performance can be orders of magnitude better than the performance of classical time integrators for such problems.

　　主讲人简介：

　　Martin J. GANDER is a full professor at department of mathematics, University of Geneva, Switzerland; and an adjunct professor of Mathematics at McGill University, Montreal, Canada. He received Diploma (M.S.) in computer science from ETH Zürich (Switzerland) at 1993, M.S. in Mathematics from Stanford University (USA) at 1995, and Ph.D. in Scientific Computing and Computational Mathematics from Stanford University (USA) at 1997. His scientific interests are Domain Decomposition Methods, Waveform Relaxation Methods, Parallel Space Time Methods, Preconditioning, etc. From 2006 to 2011, he was in the editorial board of SIAM Review. Now he is in the editorial boards for seven scientific journals, e.g. SIAM Journal on Scientific Computing, Numerical Algorithms. In addition, he is the president of the International Scientific Committee on Domain Decomposition Methods. Up to now, he has published more than 100 papers in peer-reviewed journals and conference proceedings, such as SIAM Rev., SIAM J. Sci. Comput., SIAM J. Numer. Anal., SIAM J. Matrix Anal., Math. Comp., J. Comput. Acoust., BIT. He is cited for 727 times by 409 authors in the MR citation database (up to Oct. 20, 2014).