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发布者剧:文明办发布时间慧陆坝:2019-07-03浏览次数溃茫记:197


主讲人凶:Professor Zhang Zhongqiang,Worcester Polytechnic Institute


时间磷匆:2019年7月8日10:00


地点尚:3号楼301


举办单位葡:数理学院


主讲人介绍伯滔活: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.


内容介绍醚逆韦: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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