2 papers
math.NA2018
An improved implicit sampling for Bayesian inverse problems of multi-term time fractional multiscale diffusion models
Xiaoyan Song, Lijian Jiang, Guanghui Zheng
This paper presents an improved implicit sampling method for hierarchical Bayesian inverse problems. A widely used approach for sampling posterior distribution is based on Markov c…
math.NA2017
Recovering the reaction coefficient for two dimensional time fractional diffusion equations
Xiaoyan Song, Guanghui Zheng, Lijian Jiang
In this paper, we present an inverse problem of identifying the reaction coefficient for time fractional diffusion equations in two dimensional spaces by using boundary Neumann dat…