134 citations · 154 across the 13 of their papers we have counts for
10 papers · 1 filter
A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties
Jingrun Chen, Shi Jin, Liyao Lyu
We propose a deep learning based discontinuous Galerkin method (D2GM) to solve hyperbolic equations with discontinuous solutions and random uncertainties. The main computational ch…
Random Batch Methods for classical and quantum interacting particle systems and statistical samplings
Shi Jin, Lei Li
We review the Random Batch Methods (RBM) for interacting particle systems consisting of -particles, with being large. The computational cost of such systems is of ,…
On the Random Batch Method for second order interacting particle systems
Shi Jin, Lei Li, Yiqun Sun
We investigate several important issues regarding the Random Batch Method (RBM) for second order interacting particle systems. We first show the uniform-in-time strong convergence…
Convergence of Random Batch Method for interacting particles with disparate species and weights
Shi Jin, Lei Li, Jian-Guo Liu
We consider in this work the convergence of Random Batch Method proposed in our previous work [Jin et al., J. Comput. Phys., 400(1), 2020] for interacting particles to the case of…
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…