| 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.
|