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发布者淮:文明办作者私:发布时间脸溶芦:2019-07-03浏览次数标透暮:567


主讲人菇呈躬:Professor Zhang Zhongqiang,Worcester Polytechnic Institute


时间充忙恳:2019年7月8日10:00


地点极:3号楼301


举办单位袱扯:数理学院


主讲人介绍崇氰剁:Zhongqiang Zhang is Professor of Mathematics at Worcester Polytechnic Institute.  His research interests include numerical methods for stochastic and integral  differential equations and their applications. Before he joined in Worcester  Polytechnic Institute in 2014, he received Ph.D. degrees in mathematics at  Shanghai University in 2011 and in applied mathematics at Brown University in  2014. He co-authored a book with George Karniadakis on numerical methods for  stochastic partial differential equations.


内容介绍毯谩:We consider finite element methods for a class of semilinear elliptic equations  with additive spatial noise. A key component of our numerical methods is  spectral expansions for the spatial noise including white noise and fractional  white noise. Taking a proper truncation of the spectral approximation, we prove  optimal strong convergence order of the finite element approximation. We also  discuss the weak convergence of the considered numerical methods. Numerical  results confirm our prediction for one- and two-dimensional elliptic problems.

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