The Random Projection Method for Stiff Detonation Capturing. - Weizhu Bao; Shi Jin 003 (SIAM J. Sci. Comput., 2001)

Numerical Approximations of Pressureless and Isothermal Gas Dynamics. - François Bouchut; Shi Jin 003; Xiantao Li (SIAM J. Numer. Anal., 2003)

Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes. - Weizhu Bao; Shi Jin 003; Peter A. Markowich (SIAM J. Sci. Comput., 2003)

A Smooth Transition Model between Kinetic and Diffusion Equations. - Pierre Degond; Shi Jin 003 (SIAM J. Numer. Anal., 2005)

Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations. - Shi Jin 003; Xin Wen 001 (SIAM J. Sci. Comput., 2005)

Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds. - Shi Jin 003; Xin Wen 001 (J. Comput. Phys., 2006)

A Time-Splitting Spectral Method for the Generalized Zakharov System in Multi-Dimensions. - Shi Jin 003; Chunxiong Zheng (J. Sci. Comput., 2006)

A Semiclassical Transport Model for Thin Quantum Barriers. - Shi Jin 003; Kyle A. Novak (Multiscale Model. Simul., 2006)

Numerical study of a domain decomposition method for a two-scale linear transport equation. - Xu Yang 018; François Golse; Zhongyi Huang; Shi Jin 003 (Networks Heterog. Media, 2006)

A Hamiltonian-Preserving Scheme for the Liouville Equation of Geometrical Optics with Partial Transmissions and Reflections. - Shi Jin 003; Xin Wen 001 (SIAM J. Numer. Anal., 2006)

A semiclassical transport model for two-dimensional thin quantum barriers. - Shi Jin 003; Kyle A. Novak (J. Comput. Phys., 2007)

A Bloch Decomposition-Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials. - Zhongyi Huang; Shi Jin 003; Peter A. Markowich; Christof Sparber (SIAM J. Sci. Comput., 2007)

Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction. - Shi Jin 003; Dongsheng Yin (J. Comput. Phys., 2008)

Computation of the Semiclassical Limit of the Schrödinger Equation with Phase Shift by a Level Set Method. - Shi Jin 003; Xu Yang 018 (J. Sci. Comput., 2008)

Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials. - Zhongyi Huang; Shi Jin 003; Peter A. Markowich; Christof Sparber (Multiscale Model. Simul., 2008)

The l1-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials. - Xin Wen 001; Shi Jin 003 (SIAM J. Numer. Anal., 2008)

On the Time Splitting Spectral Method for the Complex Ginzburg-Landau Equation in the Large Time and Space Scale Limit. - Pierre Degond; Shi Jin 003; Min Tang 002 (SIAM J. Sci. Comput., 2008)

Computation of Interface Reflection and Regular or Diffuse Transmission of the Planar Symmetric Radiative Transfer Equation with Isotropic Scattering and Its Diffusion Limit. - Shi Jin 003; Xiaomei Liao; Xu Yang 018 (SIAM J. Sci. Comput., 2008)

A Hybrid Phase-Flow Method for Hamiltonian Systems with Discontinuous Hamiltonians. - Shi Jin 003; Hao Wu 060; Zhongyi Huang (SIAM J. Sci. Comput., 2008)

A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface. - Shi Jin 003; Min Tang 002; Houde Han (Networks Heterog. Media, 2009)

A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. - Francis Filbet; Shi Jin 003 (J. Comput. Phys., 2010)

Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials. - Shi Jin 003; Hao Wu 060; Xu Yang 018; Zhongyi Huang (J. Comput. Phys., 2010)

A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials. - Dongming Wei; Shi Jin 003; Richard Tsai 001; Xu Yang 018 (J. Comput. Phys., 2010)

A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation. - Shi Jin 003; Yingzhe Shi (SIAM J. Sci. Comput., 2010)

Mathematical and computational methods for semiclassical Schrödinger equations. - Shi Jin 003; Peter A. Markowich; Christof Sparber (Acta Numer., 2011)

A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation. - Shi Jin 003; Bokai Yan (J. Comput. Phys., 2011)

An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation. - Francis Filbet; Shi Jin 003 (J. Sci. Comput., 2011)

An Eulerian Surface Hopping Method for the Schrödinger Equation with Conical Crossings. - Shi Jin 003; Peng Qi; Zhiwen Zhang 001 (Multiscale Model. Simul., 2011)

A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials. - Shi Jin 003; Zhennan Zhou (Commun. Inf. Syst., 2013)

Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. - Thierry Goudon; Shi Jin 003; Jian-Guo Liu 006; Bokai Yan (J. Comput. Phys., 2013)

A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations. - Shi Jin 003; Jian-Guo Liu 006; Li Wang 020 (Math. Comput., 2013)

Asymptotic-Preserving Numerical Schemes for the Semiconductor Boltzmann Equation Efficient in the High Field Regime. - Shi Jin 003; Li Wang 020 (SIAM J. Sci. Comput., 2013)

A Successive Penalty-Based Asymptotic-Preserving Scheme for Kinetic Equations. - Bokai Yan; Shi Jin 003 (SIAM J. Sci. Comput., 2013)

Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. - Shi Jin 003; Dongbin Xiu; Xueyu Zhu (J. Comput. Phys., 2015)

A Multiband Semiclassical Model for Surface Hopping Quantum Dynamics. - Lihui Chai; Shi Jin 003; Qin Li 007; Omar Morandi (Multiscale Model. Simul., 2015)

A Gaussian Beam Method for High Frequency Solution of Symmetric Hyperbolic Systems with Polarized Waves. - Leland Jefferis; Shi Jin 003 (Multiscale Model. Simul., 2015)

A Stochastic Galerkin Method for Hamilton-Jacobi Equations with Uncertainty. - Jingwei Hu; Shi Jin 003; Dongbin Xiu (SIAM J. Sci. Comput., 2015)

A stochastic Galerkin method for the Boltzmann equation with uncertainty. - Jingwei Hu; Shi Jin 003 (J. Comput. Phys., 2016)

An asymptotic preserving Monte Carlo method for the multispecies Boltzmann equation. - Bin Zhang; Hong Liu; Shi Jin 003 (J. Comput. Phys., 2016)

A Well-Balanced Stochastic Galerkin Method for Scalar Hyperbolic Balance Laws with Random Inputs. - Shi Jin 003; Dongbin Xiu; Xueyu Zhu (J. Sci. Comput., 2016)

An asymptotic-preserving stochastic Galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings. - Shi Jin 003; Hanqing Lu (J. Comput. Phys., 2017)

A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty. - Shi Jin 003; Ruiwen Shu (J. Comput. Phys., 2017)

An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings. - Shi Jin 003; Liu Liu (Multiscale Model. Simul., 2017)

The Vlasov-Poisson-Fokker-Planck System with Uncertainty and a One-dimensional Asymptotic Preserving Method. - Yuhua Zhu; Shi Jin 003 (Multiscale Model. Simul., 2017)

The Discrete Stochastic Galerkin Method for Hyperbolic Equations with Non-smooth and Random Coefficients. - Shi Jin 003; Zheng Ma 010 (J. Sci. Comput., 2018)

Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs. - Liu Liu; Shi Jin 003 (Multiscale Model. Simul., 2018)

Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws. - Frédéric Coquel; Shi Jin 003; Jian-Guo Liu 006; Li Wang 020 (Math. Comput., 2018)

Hypocoercivity and Uniform Regularity for the Vlasov-Poisson-Fokker-Planck System with Uncertainty and Multiple Scales. - Shi Jin 003; Yuhua Zhu (SIAM J. Math. Anal., 2018)

An Uncertainty Quantification Approach to the Study of Gene Expression Robustness. - Pierre Degond; Shi Jin 003; Yuhua Zhu (CoRR, 2019)

Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales. - Irene M. Gamba; Shi Jin 003; Liu Liu (CoRR, 2019)

Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations. - Irene M. Gamba; Shi Jin 003; Liu Liu (J. Comput. Phys., 2019)

On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime. - Jingwei Hu; Shi Jin 003; Ruiwen Shu (J. Comput. Phys., 2019)

A local sensitivity analysis for the kinetic Kuramoto equation with random inputs. - Seung-Yeal Ha; Shi Jin 003; Jinwook Jung (Networks Heterog. Media, 2019)

On the mean field limit of Random Batch Method for interacting particle systems. - Shi Jin 003; Lei Li 006 (CoRR, 2020)

Random Batch Algorithms for Quantum Monte Carlo simulations. - Shi Jin 003; Xiantao Li (CoRR, 2020)

Random Batch Methods (RBM) for interacting particle systems. - Shi Jin 003; Lei Li 006; Jian-Guo Liu 006 (J. Comput. Phys., 2020)

Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs. - Shi Jin 003; Liu Liu; Giovanni Russo 001; Zhennan Zhou (J. Comput. Phys., 2020)

Emergence of the Consensus and Separation in an Agent-Based Model With Attractive and Singular Repulsive Forces. - Jinwook Jung; Shi Jin 003 (SIAM J. Appl. Dyn. Syst., 2020)

Local Sensitivity Analysis for the Kuramoto-Daido Model with Random Inputs in a Large Coupling Regime. - Seung-Yeal Ha; Shi Jin 003; Jinwook Jung (SIAM J. Math. Anal., 2020)

A Spatial-Temporal asymptotic preserving scheme for radiation magnetohydrodynamics. - Shi Jin 003; Min Tang 002; Xiaojiang Zhang (CoRR, 2021)

Random Batch Methods for classical and quantum interacting particle systems and statistical samplings. - Shi Jin 003; Lei Li 006 (CoRR, 2021)

Super-Scalable Molecular Dynamics Algorithm. - Jiuyang Liang; Pan Tan; Yue Zhao; Lei Li 006; Shi Jin 003; Liang Hong; Zhenli Xu (CoRR, 2021)

A Partially Random Trotter Algorithm for Quantum Hamiltonian Simulations. - Shi Jin 003; Xiantao Li (CoRR, 2021)

On quantum algorithms for the Schrödinger equation in the semi-classical regime. - Shi Jin 003; Xiantao Li; Nana Liu (CoRR, 2021)

On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime. - François Golse; Shi Jin 003; Thierry Paul (Found. Comput. Math., 2021)

Convergence and error estimates for time-discrete consensus-based optimization algorithms. - Seung-Yeal Ha; Shi Jin 003; Doheon Kim (Numerische Mathematik, 2021)

Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights. - Shi Jin 003; Lei Li 006; Jian-Guo Liu 006 (SIAM J. Numer. Anal., 2021)

A Random Batch Ewald Method for Particle Systems with Coulomb Interactions. - Shi Jin 003; Lei Li 006; Zhenli Xu; Yue Zhao (SIAM J. Sci. Comput., 2021)

An Asymptotic-Preserving and Energy-Conserving Particle-In-Cell Method for Vlasov-Maxwell Equations. - Lijie Ji; Zhiguo Yang; Zhuoning Li; Dong Wu; Shi Jin 003; Zhenli Xu (CoRR, 2022)

Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations. - Shi Jin 003; Nana Liu; Yue Yu (J. Comput. Phys., 2022)

A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit. - Shi Jin 003; Min Tang 002; Xiaojiang Zhang (J. Comput. Phys., 2022)

Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials. - Molei Tao; Shi Jin 003 (J. Comput. Phys., 2022)

The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. - Shi Jin 003; Yuhua Zhu; Enrique Zuazua (Numerische Mathematik, 2022)

Quantum simulation in the semi-classical regime. - Shi Jin 003; Xiantao Li; Nana Liu (Quantum, 2022)

On the Random Batch Method for Second Order Interacting Particle Systems. - Shi Jin 003; Lei Li 006; Yiqun Sun (Multiscale Model. Simul., 2022)

Asymptotic-preserving schemes for multiscale physical problems. - Shi Jin 003 (Acta Numer., 2022)

Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations. - Shi Jin 003; Zheng Ma 010; Keke Wu (CoRR, 2023)

Asymptotic-Preserving Convolutional DeepONets Capture the Diffusive Behavior of the Multiscale Linear Transport Equations. - Keke Wu; Xiong-Bin Yan; Shi Jin 003; Zheng Ma 010 (CoRR, 2023)

Distributed Approximate Computing with Constant Locality. - Deheng Yuan; Tao Guo 003; Zhongyi Huang; Shi Jin 003 (CoRR, 2023)

Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations. - Shi Jin 003; Nana Liu; Yue Yu (J. Comput. Phys., 2023)

Asymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations. - Shi Jin 003; Zheng Ma 010; Keke Wu (J. Sci. Comput., 2023)

Sliding Secure Symmetric Multilevel Diversity Coding. - Tao Guo 003; Laigang Guo; Yinfei Xu; Congduan Li; Shi Jin 003; Raymond W. Yeung (ISIT, 2024)

Local Decoding in Distributed Approximate Computing. - Deheng Yuan; Tao Guo 003; Zhongyi Huang; Shi Jin 003 (ISIT, 2024)

Schrödingerisation based computationally stable algorithms for ill-posed problems in partial differential equations. - Shi Jin 003; Nana Liu; Chuwen Ma (CoRR, 2024)

Quantum simulation of the Fokker-Planck equation via Schrodingerization. - Shi Jin 003; Nana Liu; Yue Yu (CoRR, 2024)

Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation. - Shi Jin 003; Nana Liu; Yue Yu (CoRR, 2024)

Schrödingerization based Quantum Circuits for Maxwell's Equation with time-dependent source terms. - Chuwen Ma; Shi Jin 003; Nana Liu; Kezhen Wang; Lei Zhang (CoRR, 2024)

Quantum Circuits for partial differential equations via Schrödingerisation. - Junpeng Hu; Shi Jin 003; Nana Liu; Lei Zhang (Quantum, 2024)

Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions. - Shi Jin 003; Xiantao Li; Nana Liu; Yue Yu (SIAM J. Sci. Comput., 2024)

Fast Sinkhorn II: Collinear Triangular Matrix and Linear Time Accurate Computation of Optimal Transport. - Qichen Liao; Zihao Wang 001; Jing Chen 045; Bo Bai 001; Shi Jin 003; Hao Wu 060 (J. Sci. Comput., 2024)

Quantum simulation for partial differential equations with physical boundary or interface conditions. - Shi Jin 003; Xiantao Li; Nana Liu; Yue Yu (J. Comput. Phys., 2024)

Asymptotic-Preserving Neural Networks for Multiscale Vlasov-Poisson-Fokker-Planck System in the High-Field Regime. - Shi Jin 003; Zheng Ma 010; Tian-ai Zhang (J. Sci. Comput., 2024)

Quantum circuits for the heat equation with physical boundary conditions via Schrödingerization. - Shi Jin 003; Nana Liu; Yue Yu (J. Comput. Phys., 2025)

On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms. - Shi Jin 003; Nana Liu; Chuwen Ma (SIAM J. Numer. Anal., 2025)

On the Schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries. - Shi Jin 003; Nana Liu; Chuwen Ma; Yue Yu (CoRR, 2025)

Schrödingerization based quantum algorithms for the fractional Poisson equation. - Shi Jin 003; Nana Liu; Yue Yu (CoRR, 2025)

Quantum preconditioning method for linear systems problems via Schrödingerization. - Shi Jin 003; Nana Liu; Chuwen Ma; Yue Yu (CoRR, 2025)

Quantum simulation of Helmholtz equations via Schr{ö}dingerization. - Anjiao Gu; Shi Jin 003; Chuwen Ma (CoRR, 2025)

AP-MIONet: Asymptotic-Preserving Multiple-Input Neural Operators for Capturing the High-Field Limits of Collisional Kinetic Equations. - Tian-ai Zhang; Shi Jin 003 (J. Sci. Comput., 2025)

Quantum Algorithms for Stochastic Differential Equations: A Schrödingerisation Approach. - Shi Jin 003; Nana Liu; Wei Wei (J. Sci. Comput., 2025)