Shi Jin
Affiliations:- Shanghai Jiao Tong University, School of Mathematical Sciences, Institute of Natural Sciences, China
- University of Wisconsin-Madison, Department of Mathematics, Madison, WI, USA
- University of Arizona, Department of Mathematics, Tucson, AZ, USA (PhD 1991)
According to our database1,
Shi Jin
authored at least 78 papers
between 2003 and 2024.
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Bibliography
2024
Quantum simulation for partial differential equations with physical boundary or interface conditions.
J. Comput. Phys., February, 2024
Schrödingerisation based computationally stable algorithms for ill-posed problems in partial differential equations.
CoRR, 2024
2023
Asymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations.
J. Sci. Comput., February, 2023
Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations.
J. Comput. Phys., 2023
CoRR, 2023
2022
Acta Numer., May, 2022
Multiscale Model. Simul., March, 2022
Numerische Mathematik, 2022
Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials.
J. Comput. Phys., 2022
A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit.
J. Comput. Phys., 2022
Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations.
J. Comput. Phys., 2022
An Asymptotic-Preserving and Energy-Conserving Particle-In-Cell Method for Vlasov-Maxwell Equations.
CoRR, 2022
2021
SIAM J. Sci. Comput., 2021
Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights.
SIAM J. Numer. Anal., 2021
Convergence and error estimates for time-discrete consensus-based optimization algorithms.
Numerische Mathematik, 2021
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime.
Found. Comput. Math., 2021
CoRR, 2021
Random Batch Methods for classical and quantum interacting particle systems and statistical samplings.
CoRR, 2021
CoRR, 2021
2020
Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs.
J. Comput. Phys., 2020
CoRR, 2020
2019
On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime.
J. Comput. Phys., 2019
Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations.
J. Comput. Phys., 2019
Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales.
CoRR, 2019
CoRR, 2019
2018
Hypocoercivity and Uniform Regularity for the Vlasov-Poisson-Fokker-Planck System with Uncertainty and Multiple Scales.
SIAM J. Math. Anal., 2018
Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws.
Math. Comput., 2018
Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs.
Multiscale Model. Simul., 2018
The Discrete Stochastic Galerkin Method for Hyperbolic Equations with Non-smooth and Random Coefficients.
J. Sci. Comput., 2018
2017
The Vlasov-Poisson-Fokker-Planck System with Uncertainty and a One-dimensional Asymptotic Preserving Method.
Multiscale Model. Simul., 2017
An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings.
Multiscale Model. Simul., 2017
A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty.
J. Comput. Phys., 2017
An asymptotic-preserving stochastic Galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings.
J. Comput. Phys., 2017
2016
A Well-Balanced Stochastic Galerkin Method for Scalar Hyperbolic Balance Laws with Random Inputs.
J. Sci. Comput., 2016
J. Comput. Phys., 2016
J. Comput. Phys., 2016
2015
SIAM J. Sci. Comput., 2015
A Gaussian Beam Method for High Frequency Solution of Symmetric Hyperbolic Systems with Polarized Waves.
Multiscale Model. Simul., 2015
Multiscale Model. Simul., 2015
Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings.
J. Comput. Phys., 2015
2013
SIAM J. Sci. Comput., 2013
Asymptotic-Preserving Numerical Schemes for the Semiconductor Boltzmann Equation Efficient in the High Field Regime.
SIAM J. Sci. Comput., 2013
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations.
Math. Comput., 2013
Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows.
J. Comput. Phys., 2013
A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials.
Commun. Inf. Syst., 2013
2011
An Eulerian Surface Hopping Method for the Schrödinger Equation with Conical Crossings.
Multiscale Model. Simul., 2011
J. Sci. Comput., 2011
J. Comput. Phys., 2011
Acta Numer., 2011
2010
A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation.
SIAM J. Sci. Comput., 2010
A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials.
J. Comput. Phys., 2010
Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials.
J. Comput. Phys., 2010
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources.
J. Comput. Phys., 2010
2009
A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface.
Networks Heterog. Media, 2009
2008
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.
SIAM J. Sci. Comput., 2008
On the Time Splitting Spectral Method for the Complex Ginzburg-Landau Equation in the Large Time and Space Scale Limit.
SIAM J. Sci. Comput., 2008
The l<sup>1</sup>-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials.
SIAM J. Numer. Anal., 2008
Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials.
Multiscale Model. Simul., 2008
Computation of the Semiclassical Limit of the Schrödinger Equation with Phase Shift by a Level Set Method.
J. Sci. Comput., 2008
Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction.
J. Comput. Phys., 2008
2007
A Bloch Decomposition-Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials.
SIAM J. Sci. Comput., 2007
J. Comput. Phys., 2007
2006
A Hamiltonian-Preserving Scheme for the Liouville Equation of Geometrical Optics with Partial Transmissions and Reflections.
SIAM J. Numer. Anal., 2006
Numerical study of a domain decomposition method for a two-scale linear transport equation.
Networks Heterog. Media, 2006
Multiscale Model. Simul., 2006
A Time-Splitting Spectral Method for the Generalized Zakharov System in Multi-Dimensions.
J. Sci. Comput., 2006
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds.
J. Comput. Phys., 2006
2005
Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations.
SIAM J. Sci. Comput., 2005
2003
Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes.
SIAM J. Sci. Comput., 2003
SIAM J. Numer. Anal., 2003