2 citations · 4 across the 5 of their papers we have counts for
10 papers
Corrected Trapezoidal Rule-IBIM for linearized Poisson-Boltzmann equation
Federico Izzo, Yimin Zhong, Olof Runborg +1
In this paper, we solve the linearized Poisson-Boltzmann equation, used to model the electric potential of macromolecules in a solvent. We derive a corrected trapezoidal rule with…
Inverse Source Problem for Acoustically-Modulated Electromagnetic Waves
Wei Li, John C. Schotland, Yang Yang +1
We propose a method to reconstruct the electrical current density from acoustically-modulated boundary measurements of time-harmonic electromagnetic fields. We show that the curren…
Acousto-electric Inverse Source Problem
Wei Li, John C. Schotland, Yang Yang +1
We propose a method to reconstruct the electrical current density inside a conducting medium from acoustically-modulated boundary measurements of the electric potential. We show th…
Quantitative PAT with simplified approximation
Hongkai Zhao, Yimin Zhong
The photoacoustic tomography (PAT) is a hybrid modality that combines the optics and acoustics to obtain high resolution and high contrast imaging of heterogeneous media. In this w…
Unique determination of absorption coefficients in a semilinear transport equation
Kui Ren, Yimin Zhong
Motivated by applications in quantitative photoacoustic imaging, we study inverse problems to a semilinear radiative transport equation (RTE) where we intend to reconstruct absorpt…
A fast algorithm for time-dependent radiative transport equation based on integral formulation
Hongkai Zhao, Yimin Zhong
In this work, we introduce a fast numerical algorithm to solve the time-dependent radiative transport equation (RTE). Our method uses the integral formulation of RTE and applies th…