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- Shi Jin

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
44
Citations
9,403
222
World Ranking
1074
National Ranking
54

2013 - SIAM Fellow For contributions to relaxation schemes, numerical algorithms for kinetic equations and high frequency wave propagation.

2013 - Fellow of the American Mathematical Society

- Quantum mechanics
- Mathematical analysis
- Partial differential equation

His primary areas of investigation include Mathematical analysis, Partial differential equation, Boltzmann equation, Conservation law and Nonlinear system. All of his Mathematical analysis and Schrödinger equation, Numerical analysis, Discretization, Hyperbolic partial differential equation and Initial value problem investigations are sub-components of the entire Mathematical analysis study. His research in Partial differential equation focuses on subjects like Relaxation, which are connected to Runge–Kutta methods and Statistical physics.

The Boltzmann equation study combines topics in areas such as Convection, Heat equation, HPP model, Lattice gas automaton and Relaxation. The various areas that Shi Jin examines in his Conservation law study include Relaxation, Scalar, Random projection and Dissipative system. His Nonlinear system research includes themes of Space, Total variation diminishing and Euler's formula.

- The relaxation schemes for systems of conservation laws in arbitrary space dimensions (741 citations)
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime (337 citations)
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations (302 citations)

Mathematical analysis, Applied mathematics, Nonlinear system, Statistical physics and Numerical analysis are his primary areas of study. His work is connected to Schrödinger equation, Discretization, Convection–diffusion equation, Conservation law and Limit, as a part of Mathematical analysis. Shi Jin works mostly in the field of Applied mathematics, limiting it down to topics relating to Boltzmann equation and, in certain cases, Stochastic galerkin and Relaxation, as a part of the same area of interest.

Shi Jin focuses mostly in the field of Nonlinear system, narrowing it down to matters related to Space and, in some cases, Polynomial chaos. As part of one scientific family, Shi Jin deals mainly with the area of Statistical physics, narrowing it down to issues related to the Kinetic energy, and often Boltzmann constant. His Numerical analysis research is multidisciplinary, incorporating perspectives in Computation and Classical mechanics.

- Mathematical analysis (58.75%)
- Applied mathematics (29.57%)
- Nonlinear system (21.79%)

- Applied mathematics (29.57%)
- Statistical physics (18.68%)
- Nonlinear system (21.79%)

Shi Jin focuses on Applied mathematics, Statistical physics, Nonlinear system, Limit and Numerical analysis. He has researched Applied mathematics in several fields, including Space, Global optimization and Exponential function. His studies in Statistical physics integrate themes in fields like Boltzmann constant, Knudsen number and Kinetic energy.

His studies deal with areas such as Boltzmann equation and Semiclassical physics as well as Nonlinear system. His Limit research entails a greater understanding of Mathematical analysis. His Numerical analysis study integrates concerns from other disciplines, such as Planck constant, Quantum dynamics, Quantum, Mathematical physics and Rate of convergence.

- Random batch methods (RBM) for interacting particle systems (35 citations)
- Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions (16 citations)
- Convergence of a first-order consensus-based global optimization algorithm (13 citations)

- Quantum mechanics
- Mathematical analysis
- Partial differential equation

Shi Jin spends much of his time researching Statistical physics, Nonlinear system, Applied mathematics, Limit and Batch method. His work carried out in the field of Statistical physics brings together such families of science as Particle, Knudsen number, Interaction problem and Flocking. His work in Nonlinear system addresses subjects such as Boltzmann equation, which are connected to disciplines such as Kinetic energy.

His work deals with themes such as Isotropy, Global optimization and Exponential function, which intersect with Applied mathematics. Limit is a subfield of Mathematical analysis that Shi Jin tackles. The study of Mathematical analysis is intertwined with the study of Isentropic process in a number of ways.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The relaxation schemes for systems of conservation laws in arbitrary space dimensions

Shi Jin;Zhouping Xin.

Communications on Pure and Applied Mathematics **(1995)**

1166 Citations

Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations

Shi Jin.

SIAM Journal on Scientific Computing **(1999)**

546 Citations

On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

Weizhu Bao;Shi Jin;Peter A. Markowich.

Journal of Computational Physics **(2002)**

448 Citations

Physical symmetry and lattice symmetry in the lattice Boltzmann method

Nianzheng Cao;Nianzheng Cao;Shiyi Chen;Shiyi Chen;Shi Jin;Daniel Martínez;Daniel Martínez.

Physical Review E **(1997)**

424 Citations

A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources

Francis Filbet;Shi Jin.

Journal of Computational Physics **(2010)**

309 Citations

Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms

Shi Jin;C.David Levermore.

Journal of Computational Physics **(1996)**

288 Citations

Runge-Kutta Methods for Hyperbolic Conservation Laws with Stiff Relaxation Terms

Shi Jin.

Journal of Computational Physics **(1995)**

272 Citations

Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

Weizhu Bao;Shi Jin;Peter A. Markowich.

SIAM Journal on Scientific Computing **(2003)**

263 Citations

A steady-state capturing method for hyperbolic systems with geometrical source terms

Shi Jin.

Mathematical Modelling and Numerical Analysis **(2001)**

238 Citations

Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations

Shi Jin;Lorenzo Pareschi;Giuseppe Toscani.

SIAM Journal on Numerical Analysis **(2000)**

227 Citations

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