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Numerical solutions of stochastic partial differential equations

发布时间:2019-03-26     来源:    点击数:
主题: Numerical solutions of stochastic partial differential equations
类型: 学术报告
主办方:
报告人: Professor Yanzhao Cao
日期: 2012年6月21日下午2:30
地点: 知新楼B1248室
内容: 摘要:I will make a brief introduction to two different types stochastic partial differential equations (SPDEs), namely SPDEs with white noise perturbations and SPDEs with coefficients as random fields. Then I will introduce the concept of polynomial chaos expansion (PCE), which is an orthogonal polynomial basis expansion of a generalized random variable under the infinite dimensional Gaussian measure. Cutoff errors of PCEs and applications of PCEs to numerical solutions of stochastic partial differential equations will be discussed afterward.

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