4 papers
Forward and inverse problems of a semilinear transport equation
Kui Ren, Yimin Zhong
We study forward and inverse problems for a semilinear radiative transport model where the absorption coefficient depends on the angular average of the transport solution. Our firs…
An explicit spectral decomposition of the ADRT
Weilin Li, Karl Otness, Kui Ren +1
The approximate discrete Radon transform (ADRT) is a hierarchical multiscale approximation of the Radon transform. In this paper, we factor the ADRT into a product of linear transf…
Sampling with Adaptive Variance for Multimodal Distributions
Björn Engquist, Kui Ren, Yunan Yang
We propose and analyze a class of adaptive sampling algorithms for multimodal distributions on a bounded domain, which share a structural resemblance to the classic overdamped Lang…
Error Analysis for the Implicit Boundary Integral Method
Yimin Zhong, Kui Ren, Olof Runborg +1
The implicit boundary integral method (IBIM) provides a framework to construct quadrature rules on regular lattices for integrals over irregular domain boundaries. This work provid…