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Shi Jin
Publication Activity (10 Years)
Years Active: 2006-2024
Publications (10 Years): 20
Top Topics
Conservation Laws
Molecular Dynamics
Partial Differential Equations
Multiscale
Top Venues
CoRR
J. Comput. Phys.
SIAM J. Numer. Anal.
Found. Comput. Math.
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Publications
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Shi Jin
,
Nana Liu
,
Yue Yu
Quantum simulation of the Fokker-Planck equation via Schrodingerization.
CoRR
(2024)
Shi Jin
,
Nana Liu
,
Chuwen Ma
Schrödingerisation based computationally stable algorithms for ill-posed problems in partial differential equations.
CoRR
(2024)
Shi Jin
,
Nana Liu
,
Yue Yu
Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation.
CoRR
(2024)
Shi Jin
,
Xiantao Li
,
Nana Liu
,
Yue Yu
Quantum simulation for partial differential equations with physical boundary or interface conditions.
J. Comput. Phys.
498 (2024)
Deheng Yuan
,
Tao Guo
,
Zhongyi Huang
,
Shi Jin
Distributed Approximate Computing with Constant Locality.
CoRR
(2023)
Shi Jin
,
Nana Liu
,
Yue Yu
Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations.
J. Comput. Phys.
487 (2023)
Shi Jin
,
Zheng Ma
,
Keke Wu
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations.
CoRR
(2023)
Shi Jin
,
Lei Li
,
Yiqun Sun
On the Random Batch Method for Second Order Interacting Particle Systems.
Multiscale Model. Simul.
20 (1) (2022)
Lijie Ji
,
Zhiguo Yang
,
Zhuoning Li
,
Dong Wu
,
Shi Jin
,
Zhenli Xu
An Asymptotic-Preserving and Energy-Conserving Particle-In-Cell Method for Vlasov-Maxwell Equations.
CoRR
(2022)
François Golse
,
Shi Jin
,
Thierry Paul
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime.
Found. Comput. Math.
21 (3) (2021)
Jiuyang Liang
,
Pan Tan
,
Yue Zhao
,
Lei Li
,
Shi Jin
,
Liang Hong
,
Zhenli Xu
Super-Scalable Molecular Dynamics Algorithm.
CoRR
(2021)
Shi Jin
,
Lei Li
,
Zhenli Xu
,
Yue Zhao
A Random Batch Ewald Method for Particle Systems with Coulomb Interactions.
SIAM J. Sci. Comput.
43 (4) (2021)
Shi Jin
,
Lei Li
,
Jian-Guo Liu
Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights.
SIAM J. Numer. Anal.
59 (2) (2021)
Shi Jin
,
Lei Li
Random Batch Methods for classical and quantum interacting particle systems and statistical samplings.
CoRR
(2021)
Shi Jin
,
Lei Li
,
Yiqun Sun
On the Random Batch Method for second order interacting particle systems.
CoRR
(2020)
Shi Jin
,
Lei Li
,
Jian-Guo Liu
Random Batch Methods (RBM) for interacting particle systems.
J. Comput. Phys.
400 (2020)
Shi Jin
,
Lei Li
,
Jian-Guo Liu
Convergence of Random Batch Method for interacting particles with disparate species and weights.
CoRR
(2020)
Shi Jin
,
Lei Li
On the mean field limit of Random Batch Method for interacting particle systems.
CoRR
(2020)
François Golse
,
Shi Jin
,
Thierry Paul
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime.
CoRR
(2019)
Frédéric Coquel
,
Shi Jin
,
Jian-Guo Liu
,
Li Wang
Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws.
Math. Comput.
87 (311) (2018)
Thierry Goudon
,
Shi Jin
,
Jian-Guo Liu
,
Bokai Yan
Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows.
J. Comput. Phys.
246 (2013)
Shi Jin
,
Jian-Guo Liu
,
Li Wang
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations.
Math. Comput.
82 (282) (2013)
Shi Jin
,
Hao Wu
,
Xu Yang
,
Zhongyi Huang
Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials.
J. Comput. Phys.
229 (13) (2010)
Shi Jin
,
Hao Wu
,
Zhongyi Huang
A Hybrid Phase-Flow Method for Hamiltonian Systems with Discontinuous Hamiltonians.
SIAM J. Sci. Comput.
31 (2) (2008)
Zhongyi Huang
,
Shi Jin
,
Peter A. Markowich
,
Christof Sparber
Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials.
Multiscale Model. Simul.
7 (2) (2008)
Zhongyi Huang
,
Shi Jin
,
Peter A. Markowich
,
Christof Sparber
A Bloch Decomposition-Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials.
SIAM J. Sci. Comput.
29 (2) (2007)
Xu Yang
,
François Golse
,
Zhongyi Huang
,
Shi Jin
Numerical study of a domain decomposition method for a two-scale linear transport equation.
Networks Heterog. Media
1 (1) (2006)