134 citations · 229 across the 23 of their papers we have counts for
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Random batch particle methods for the homogeneous Landau equation
José Antonio Carrillo, Shi Jin, Yijia Tang
We consider in this paper random batch particle methods for efficiently solving the homogeneous Landau equation in plasma physics. The methods are stochastic variations of the part…
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 ,…
Accurate and Efficient Simulations of Hamiltonian Mechanical Systems with Discontinuous Potentials
Molei Tao, Shi Jin
This article considers Hamiltonian mechanical systems with potential functions admitting jump discontinuities. The focus is on accurate and efficient numerical approximations of th…
A Spatial-Temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit
Shi Jin, Min Tang, Xiaojiang Zhang
The radiation magnetohydrodynamics (RMHD) system couples the ideal magnetohydrodynamics equations with a gray radiation transfer equation. The main challenge is that the radiation…