Shi Jin - Selected Publications#

1.) S. Jin and Z.P. Xin, The Relaxation Schemes for Systems of Conservation Laws in Arbitrary Space Dimensions, Comm Pure Applied Math., 48 (1995), 235-276.

2.) S. Jin, Efficient Asymptotic-Preserving (AP) Schemes for Some Multiscale Kinetic Equations, SIAM J. Sci. Comp. 21, 441-454, 1999

3.) W.Z. Bao， S. Jin and P. Markowich, On Time-Splitting Spectral Approximations for the Schrodinger Equation in the Semiclassical Regime, J. Comp. Phys., 175, 487-524, 2002.

4.) S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials, Comm. Math. Sci. 3, 285-315, 2005.

5.) F. Filbet and S. Jin, A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources, J. Comp. Phys. 229, 7625-7648, 2010

6.) S. Jin, P.A. Markowich and C. Sparber, Mathematical and computational methods for semiclassical Schrodinger equations, Acta Numerica 20, 211-289, 2011.

7.) S. Jin, J.-G. Liu and Z. Ma, Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition based asymptotic preserving method, Research in Math. Sci., 4:15, 2017.

8.) L. Liu and S. Jin, Hypocoercivity based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs, (SIAM) Multiscale Modeling and Simulation 16, 1085-1114, 2018

9.) S. Jin, L. Li and J.-G. Liu, Random Batch Methods (RBM) for interacting particle systems, J. Comp. Phys. 400， 108877， 2020.

10.) F. Golse, S. Jin and T. Paul, On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime. Found. Comput. Math. 21, 613–647, 2021.

Current bibliometric information:

1.) H-index
Google Scholar: H-index 43, i10-index 138, citations 9469
Since 2016: H-index 31, i10-index 82, citations 3705

2.) MathSciNet: 4185 citations by 1703 authors