5 citations · 10 across the 16 of their papers we have counts for
16 papers
Determining a stationary mean field game system from full/partial boundary measurement
Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng
In this paper, we propose and study the utilization of the Dirichlet-to-Neumann (DN) map to uniquely identify the discount functions and cost function in a stationary me…
On inverse problems for several coupled PDE systems arising in mathematical biology
Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng
In this paper, we propose and study several inverse problems of identifying/determining unknown coefficients for a class of coupled PDE systems by measuring the average flux data o…
Solving linear Bayesian inverse problems using a fractional total variation-Gaussian (FTG) prior and transport map
Zejun Sun, Guang-Hui Zheng
The Bayesian inference is widely used in many scientific and engineering problems, especially in the linear inverse problems in infinite-dimensional setting where the unknowns are…
A general fractional total variation-Gaussian (GFTG) prior for Bayesian inverse problems
Li-Li Wang, Ming-Hui Ding, Guang-Hui Zheng
In this paper, we investigate the imaging inverse problem by employing an infinite-dimensional Bayesian inference method with a general fractional total variation-Gaussian (GFTG) p…
A Hadamard fractioal total variation-Gaussian (HFTG) prior for Bayesian inverse problems
Li-Li Wang, Ming-Hui Ding, Guang-Hui Zheng
This paper studies the infinite-dimensional Bayesian inference method with Hadamard fractional total variation-Gaussian (HFTG) prior for solving inverse problems. First, Hadamard f…
Shape reconstructions by using plasmon resonances
Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng
We study the shape reconstruction of an inclusion from the {faraway} measurement of the associated electric field. This is an inverse problem of practical importance in biomedical…
Mathematical analysis of plasmon resonances for curved nanorods
Youjun Deng, Hongyu Liu, Guanghui Zheng
We investigate plasmon resonances for curved nanorods which present anisotropic geometries. We analyze quantitative properties of the plasmon resonance and its relationship to the…
On uniqueness and nonuniqueness for potential reconstruction in quantum fields from one measurement II. the non-radial case
Zhi-Qiang Miao, Guang-Hui Zheng
In this article we study uniqueness and nonuniqueness for potential reconstruction from one boundary measurement in quantum fields, associated with the steady state Schrödinger equ…
On uniqueness and nonuniqueness for potential reconstruction in quantum fields from one measurement
Guang-Hui Zheng, Zhi-Qiang Miao
This paper studies uniqueness and nonuniqueness for potential reconstruction from one boundary measurement in quantum fields, associated with the steady state Schrödinger equation.…
Identification of the degradation coefficient for an anomalous diffusion process in hydrology
Guang-Hui Zheng, Ming-Hui Ding
In hydrology, the degradation coefficient is one of the key parameters to describe the water quality change and to determine the water carrying capacity. This paper is devoted to i…
Uniqueness of the inverse reaction coefficient problems for nonlocal diffusion models
Guang-Hui Zheng, Ming-Hui Ding
In this paper, we consider the inverse reaction coefficient problems (IRCPs) for nonlocal diffusion equation and multi-term time-fractional nonlocal diffusion equation from the ave…
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…
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…
Mathematical analysis of plasmonic resonance for 2-D photonic crystal
Guang-Hui Zheng
In this article, we study the plasmonic resonance of infinite photonic crystal mounted by the double negative nanoparticles in two dimensions. The corresponding physical model is d…
A dimension reduction method with applications for coefficient inversion of diffusion equations
Fuchen Chen, Lijian Jiang, Guanghui Zheng
In this paper, we present a dimension reduction method to reduce the dimension of parameter space and state space and efficiently solve inverse problems. To this end, proper orthog…
Corrigendum: Recover the source and initial value simultaneously in a parabolic equation
Guang-Hui Zheng, Ting Wei
In this note, the corrigendum to our earlier paper "Recover the source and initial value simultaneously in a parabolic equation" [2014 Inverse Problems 30 065013] is given.