134 citations · 229 across the 23 of their papers we have counts for
5 papers · 2 filters
The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term
Shi Jin, Yuhua Zhu, Enrique Zuazua
We consider the Vlasov-Fokker-Planck equation with random electric field where the random field is parametrized by countably many infinite random variables due to uncertainty. At t…
An Uncertainty Quantification Approach to the Study of Gene Expression Robustness
Pierre Degond, Shi Jin, Yuhua Zhu
We study a chemical kinetic system with uncertainty modeling a gene regulatory network in biology. Specifically, we consider a system of two equations for the messenger RNA and mic…
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…
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime
François Golse, Shi Jin, Thierry Paul
By using the pseudo-metric introduced in [F. Golse, T. Paul: Archive for Rational Mech. Anal. 223 (2017) 57-94], which is an analogue of the Wasserstein distance of exponent be…
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…