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  • A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space

    Lihui Chai, Shi Jin & Peter A. Markowich
    2020-07-31
    44071 3191 Pages:989-1020
  • The Landau-Zener Transition and the Surface Hopping Method for the 2D Dirac Equation for Graphene

    Ali Faraj & Shi Jin
    2018-04-08
    41827 3220 Pages:313-357
  • A Numerical Scheme for the Quantum Fokker-Planck-Landau Equation Efficient in the Fluid Regime

    Jingwei Hu, Shi Jin & Bokai Yan
    2012-12-01
    42584 4046 Pages:1541-1561
  • An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations

    Jeffrey Haack, Shi Jin & Jian-Guo Liu
    2012-12-01
    40286 4111 Pages:955-980
  • Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

    Shi Jin, Hao Wu & Xu Yang
    2011-03-05
    39292 4190 Pages:668-687
  • Computation of High Frequency Wave Diffraction by a Half Plane via the Liouville Equation and Geometric Theory of Diffraction

    Shi Jin & Dongsheng Yin
    2008-11-05
    36985 4063 Pages:1106-1128
  • RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit

    Weihang Gao, Teng Zhao, Yongfa Guo, Jiuyang Liang, Huan Liu, Maoying Luo, Zedong Luo, Wei Qin, Yichao Wang, Qi Zhou, Shi Jin, Zhenli Xu
    2025-11-07
    2711 116 Pages:296-322
  • Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows

    Yiwen Lin, Shi Jin
    2024-09-06
    155 61 Pages:319-347
  • Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

    Shi Jin, Zheng Ma, Keke Wu
    2024-04-10
    25172 2100 Pages:693-723
  • A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

    Jingrun Chen, Shi Jin, Liyao Lyu
    2022-03-30
    47006 2985 Pages:1296-1316
  • Random Batch Particle Methods for the Homogeneous Landau Equation

    José Antonio Carrillo, Shi Jin, Yijia Tang
    2022-03-30
    88440 4869 Pages:997-1019 Open-access
  • Random Batch Algorithms for Quantum Monte Carlo Simulations

    Shi Jin, Xiantao Li
    2020-11-18
    62319 3426 Pages:1907-1936
  • An Implicit, Asymptotic-Preserving and Energy-Charge-Conserving Method for the Vlasov-Maxwell System Near Quasi-Neutrality

    Chuwen Ma, Shi Jin
    2024-04-10
    23939 2135 Pages:724-760
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