20 citations · 87 across the 20 of their papers we have counts for
5 papers · 1 filter
Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales
Irene M. Gamba, Shi Jin, Liu Liu
In this paper, we conduct uniform error estimates of the bi-fidelity method for multi-scale kinetic equations. We take the Boltzmann and the linear transport equations as important…
NODE: Extreme Low Light Raw Image Denoising using a Noise Decomposition Network
Hao Guan, Liu Liu, Sean Moran +2
Denoising extreme low light images is a challenging task due to the high noise level. When the illumination is low, digital cameras increase the ISO (electronic gain) to amplify th…
On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation
Esther S. Daus, Shi Jin, Liu Liu
In this paper the nonlinear multi-species Boltzmann equation with random uncertainty coming from the initial data and collision kernel is studied. Well-posedness and long-time beha…
A bi-fidelity method for the multiscale Boltzmann equation with random parameters
Liu Liu, Xueyu Zhu
In this paper, we study the multiscale Boltzmann equation with multi-dimensional random parameters by a bi-fidelity stochastic collocation (SC) method developed in [A. Narayan, C.…
Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs
Shi Jin, Liu Liu, Giovanni Russo +1
In this work, we study the semi-classical limit of the Schrödinger equation with random inputs, and show that the semi-classical Schrödinger equation produces osci…