CollectionIssue(11)：12-13,2.2005，Vol.2：13-16,4.
二维非线性抛物型方程参数反演的贝叶斯推理估计
The estimated Bayesian inference of two-dimensional nonlinear parabolic equation parameter inversion
陈亚文 1邹学文1
作者信息
- 1. 西安理工大学理学院,陕西西安710054
- 折叠
Abstract
Abstract
In order to overcome the limited observation data with noise, an inversion of the effective parameters algorithm is presented. First, according to the parameters,a priori distribution and the limited observation data with noise, Bayesian inference as a theoretical foundation,parameters of the joint posterior probability density function are obtained. Markov chain Monte Carlo simulation was taken to sample the posterior distribution to get the marginal posterior probability function of the parameters, and the statistical quantities such as the mathematic expectation were calculated. Experimental results show that this algorithm can successfully solve the problem of two-dimensional nonlinear parabolic equation parameter inversion and inversion results have higher accuracy. 关键词
非线性抛物型方程/贝叶斯推理/蒙特卡洛/参数反演Key words
nonlinear parabolic equations/ Bayesian inference/ Monte Carlo/ parameter inversion分类
建筑与水利引用本文复制引用
陈亚文,邹学文..二维非线性抛物型方程参数反演的贝叶斯推理估计[J].纺织高校基础科学学报,2012,25(1):13-16,4.
