@Article{NMTMA-4-38, author = {Yanzhao Cao and Li Yin}, title = {Spectral Method for Nonlinear Stochastic Partial Differential Equations of Elliptic Type}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {1}, pages = {38--52}, abstract = {

This paper is concerned with the numerical approximations of semi-linear stochastic partial differential equations of elliptic type in multi-dimensions. Convergence analysis and error estimates are presented for the numerical solutions based on the spectral method. Numerical results demonstrate the good performance of the spectral method.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.m99040}, url = {http://global-sci.org/intro/article_detail/nmtma/5957.html} }