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math.NA2019
The quadratic Wasserstein metric for inverse data matching
Bjorn Engquist, Kui Ren, Yunan Yang
This work characterizes, analytically and numerically, two major effects of the quadratic Wasserstein () distance as the measure of data discrepancy in computational solutions…
math.NA2019
Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation
Kui Ren, Hongkai Zhao, Yimin Zhong
We study in this work an integral formulation for the radiative transfer equation (RTE) in anisotropic media with truncated approximation to the scattering phase function. The inte…
math.NA2018
Image reconstruction in quantitative photoacoustic tomography with the simplified approximation
Christina Frederick, Kui Ren, Sarah Vallélian
Photoacoustic tomography (PAT) is a hybrid imaging modality that intends to construct high-resolution images of optical properties of heterogeneous media from measured acoustic dat…