Edit Profile (opens in new tab) Jin, Shi Compute Distance To: Compute Author ID: jin.shi Published as: Jin, Shi; Jin, Shih; Jin, S. more...less Homepage: http://www.math.wisc.edu/~jin/ External Links: MGP · ResearchGate · dblp Documents Indexed: 230 Publications since 1991 1 Contribution as Editor Co-Authors: 123 Co-Authors with 205 Joint Publications 5,245 Co-Co-Authors all top 5 Co-Authors 12 single-authored 13 Ha, Seung-Yeal 13 Liu, Jianguo 12 Hu, Jingwei 12 Markowich, Peter Alexander 10 Yang, Xu 9 Bao, Weizhu 9 Huang, Zhongyi 9 Liu, Liu 9 Wen, Xin 8 Gao, Xiqi 8 Shu, Ruiwen 8 Sparber, Christof 8 Wong, Kai-Kit 7 Li, Lei 7 McKay, Matthew R. 7 Pareschi, Lorenzo 7 Wu, Hao 6 Kim, Doheon 6 Yan, Bokai 6 Yin, Dongsheng 5 Degond, Pierre 5 Golse, François 5 Jung, Jinwook 5 Li, Xiantao 5 Wang, Li 4 Ko, Dongnam 4 Levermore, C. David 4 Liu, Hailiang 4 Slemrod, Marshall 4 Wen, Chao-Kai 4 Xin, Zhouping 4 Zhu, Yuhua 3 Crouseilles, Nicolas 3 Fan, Haitao 3 Fang, Di 3 Filbet, Francis 3 Martínez Gamba, Irene 3 Goudon, Thierry 3 Katsoulakis, Markos A. 3 Lemou, Mohammed 3 Li, Qin 3 Liao, Xiaomei 3 Lu, Hanqing 3 Novak, Kyle A. 3 Osher, Stanley Joel 3 Qi, Peng 3 Tang, Min 3 Tsai, Yen-Hsi Richard 3 Wang, Xuelei 3 Xiu, Dongbin 3 Zheng, Chunxiong 3 Zhong, Caijun 3 Zhou, Zhennan 2 Carrillo de la Plata, José Antonio 2 Chai, Lihui 2 Coquel, Frédéric 2 Daus, Esther S. 2 Ding, Zhiyan 2 Jefferis, Leland 2 Li, Xiao 2 Li, Ye (Geoffrey) 2 Liu, Hong 2 Liu, Nana 2 Ma, Zheng 2 Minev, Peter Dimitrov 2 Nandakumar, Krishnaswamy 2 Paul, Thierry 2 Russo, Giovanni 2 Toscani, Giuseppe 2 Wang, Chang-Jen 2 Wang, Wenjin 2 Wei, Dongming 2 You, Xiaohu 2 Yu, Yue 2 Zhu, Xueyu 1 Arnold, Anton 1 Au, Edward K. S. 1 Bai, Bo 1 Bouchut, François 1 Caflisch, Russel E. 1 Chen, Gang 1 Chen, Jing 1 Chen, Jingrun 1 Chen, Xi 1 Chen, Xinfu 1 Fannjiang, Albert C. 1 Faraj, Ali 1 Frank, Martin 1 Gao, Feifei 1 Gosse, Laurent 1 Haack, Jeffrey R. 1 Han, Houde 1 He, Hengtao 1 Hu, Junpeng 1 Jiang, Bin 1 Joshi, Jyeshtharaj B. 1 Kim, Yong Jung 1 Küpper, Kerstin 1 Kurganov, Alexander 1 Levermore, David ...and 46 more Co-Authors all top 5 Serials 38 Journal of Computational Physics 16 SIAM Journal on Scientific Computing 14 IEEE Transactions on Signal Processing 12 SIAM Journal on Numerical Analysis 10 Multiscale Modeling & Simulation 10 Kinetic and Related Models 9 Journal of Differential Equations 9 Communications in Mathematical Sciences 9 Communications in Computational Physics 7 Journal of Computational Mathematics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Scientific Computing 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Transport Theory and Statistical Physics 3 Physica D 3 SIAM Journal on Applied Mathematics 3 Methods and Applications of Analysis 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Networks and Heterogeneous Media 2 Communications on Pure and Applied Mathematics 2 IEEE Transactions on Information Theory 2 Wave Motion 2 Mathematics of Computation 2 Numerische Mathematik 2 Quarterly of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 International Journal of Computational Fluid Dynamics 2 Journal of Hyperbolic Differential Equations 2 Acta Numerica 2 Science China. Mathematics 2 International Journal for Uncertainty Quantification 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Journal of Statistical Physics 1 Journal of Computational and Applied Mathematics 1 Studies in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Matemática Contemporânea 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Foundations of Computational Mathematics 1 Communications in Information and Systems 1 SIAM Journal on Applied Dynamical Systems 1 Science in China. Series F 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Inverse Problems and Imaging 1 EURASIP Journal on Advances in Signal Processing 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Information Sciences 1 Rivista di Matematica della Università di Parma. New Series 1 Research in the Mathematical Sciences 1 SEMA SIMAI Springer Series 1 SMAI Journal of Computational Mathematics all top 5 Fields 144 Numerical analysis (65-XX) 118 Partial differential equations (35-XX) 62 Statistical mechanics, structure of matter (82-XX) 50 Fluid mechanics (76-XX) 31 Quantum theory (81-XX) 18 Information and communication theory, circuits (94-XX) 15 Probability theory and stochastic processes (60-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Optics, electromagnetic theory (78-XX) 10 Mechanics of deformable solids (74-XX) 8 Ordinary differential equations (34-XX) 8 Biology and other natural sciences (92-XX) 7 Integral equations (45-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Mechanics of particles and systems (70-XX) 5 Operations research, mathematical programming (90-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Systems theory; control (93-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 195 Publications have been cited 3,613 times in 1,679 Documents Cited by ▼ Year ▼ The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078Jin, Shi; Xin, Zhouping 322 1995 Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008Jin, Shi 223 1999 On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112Bao, Weizhu; Jin, Shi; Markowich, Peter A. 176 2002 A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. Zbl 1202.82066Filbet, Francis; Jin, Shi 144 2010 Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review. Zbl 1259.82079Jin, Shi 128 2012 Uniformly accurate diffusive relaxation schemes for multiscale transport equations. Zbl 0976.65091Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe 97 2000 Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099Bao, Weizhu; Jin, Shi; Markowich, Peter A. 90 2003 Numerical schemes for hyperbolic conservation laws with stiff relaxation terms. Zbl 0860.65089Jin, Shi; Levermore, C. David 83 1996 Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations. Zbl 0938.35097Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe 80 1998 Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms. Zbl 0840.65098Jin, Shi 79 1995 A steady-state capturing method for hyperbolic systems with geometrical source terms. Zbl 1001.35083Jin, Shi 78 2001 Uniformly accurate schemes for hyperbolic systems with relaxation. Zbl 0868.35070Caflisch, Russel E.; Jin, Shi; Russo, Giovanni 66 1997 Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071Jin, Shi; Markowich, Peter; Sparber, Christof 63 2011 An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284Haack, Jeffrey; Jin, Shi; Liu, Jian-guo 61 2012 Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080Bouchut, François; Jin, Shi; Li, Xiantao 53 2003 Numerical passage from systems of conservation laws to Hamilton–Jacobi equations, and relaxation schemes. Zbl 0921.65063Jin, Shi; Xin, Zhouping 44 1998 A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong 43 2005 A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations. Zbl 1090.35116Jin, Shi; Osher, Stanley 43 2003 An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation. Zbl 1433.82022Filbet, Francis; Jin, Shi 42 2011 The convergence of numerical transfer schemes in diffusive regimes. I: Discrete-ordinate method. Zbl 1053.82030Golse, François; Jin, Shi; Levermore, C. David 40 1999 A stochastic Galerkin method for the Boltzmann equation with uncertainty. Zbl 1349.82088Hu, Jingwei; Jin, Shi 38 2016 Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation. Zbl 1072.65132Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Yen-Hsi Richard 36 2005 The random projection method for hyperbolic conservation laws with stiff reaction terms. Zbl 0966.65073Bao, Weizhu; Jin, Shi 36 2000 Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner. Zbl 1073.81041Jin, Shi; Li, Xiantao 36 2003 A smooth transition model between kinetic and hydrodynamic equations. Zbl 1138.82324Degond, Pierre; Jin, Shi; Mieussens, Luc 34 2005 Numerical simulation of a generalized Zakharov system. Zbl 1079.65101Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong 34 2004 Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407Jin, Shi; Xiu, Dongbin; Zhu, Xueyu 34 2015 Regularization of the Burnett equations via relaxation. Zbl 1019.82018Jin, Shi; Slemrod, Marshall 34 2001 Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065Jin, Shi; Li, Lei; Liu, Jian-Guo 33 2020 Gaussian beam methods for the Schrödinger equation in the semi-classical regime: Lagrangian and Eulerian formulations. Zbl 1161.81369Jin, Shi; Wu, Hao; Yang, Xu 33 2008 The discrete-ordinate method in diffusive regimes. Zbl 0760.65125Jin, Shi; Levermore, David 29 1991 A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation. Zbl 1408.76594Jin, Shi; Yan, Bokai 29 2011 Mach-number uniform asymptotic-preserving gauge schemes for compressible flows. Zbl 1210.76135Degond, P.; Jin, S.; Liu, J.-G. 29 2007 Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method. Zbl 1375.65004Jin, Shi; Liu, Jian-Guo; Ma, Zheng 27 2017 Two moment systems for computing multiphase semiclassical limits of the Schrödinger equation. Zbl 1055.81013Gosse, Laurent; Jin, Shi; Li, Xiantao 27 2003 The effects of numerical viscosities. I: Slowly moving shocks. Zbl 0858.76054Jin, Shi; Liu, Jian-Guo 27 1996 Asymptotic-preserving schemes for multiscale hyperbolic and kinetic equations. Zbl 1366.82029Hu, J.; Jin, Shi; Li, Q. 26 2017 An asymptotic-preserving stochastic Galerkin method for the semiconductor Boltzmann equation with random inputs and diffusive scalings. Zbl 1367.35100Jin, Shi; Liu, Liu 26 2017 Two interface-type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations. Zbl 1083.35062Jin, Shi; Wen, Xin 25 2005 Fully-discrete numerical transfer in diffusive regimes. Zbl 0818.65141Jin, Shi; Levermore, C. David 25 1993 A smooth transition model between kinetic and diffusion equations. Zbl 1086.82005Degond, Pierre; Jin, Shi 24 2005 Hypocoercivity and uniform regularity for the Vlasov-Poisson-Fokker-Planck system with uncertainty and multiple scales. Zbl 1390.35295Jin, Shi; Zhu, Yuhua 23 2018 Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes. Zbl 1156.82408Jin, Shi; Pareschi, Lorenzo 23 2000 Uncertainty quantification for kinetic equations. Zbl 1459.65208Hu, Jingwei; Jin, Shi 21 2017 A numerical scheme for the quantum Boltzmann equation with stiff collision terms. Zbl 1277.82046Filbet, Francis; Hu, Jingwei; Jin, Shi 21 2012 Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials. Zbl 1094.35074Jin, Shi; Wen, Xin 21 2005 Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems. Zbl 1098.65094Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Richard 20 2005 A consensus-based global optimization method for high dimensional machine learning problems. Zbl 1480.60195Carrillo, José A.; Jin, Shi; Li, Lei; Zhu, Yuhua 20 2021 Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs. Zbl 1403.35197Liu, Liu; Jin, Shi 20 2018 Gaussian beam methods for the Dirac equation in the semi-classical regime. Zbl 1281.65133Huang, Zhongyi; Jin, Shi; Wu, Hao; Yin, Dongsheng 20 2012 A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125Golse, François; Jin, Shi; Levermore, C. David 19 2003 On the time splitting spectral method for the complex Ginzburg-Landau equation in the large time and space scale limit. Zbl 1176.35170Degond, Pierre; Jin, Shi; Tang, Min 19 2008 A stochastic Galerkin method for the Boltzmann equation with multi-dimensional random inputs using sparse wavelet bases. Zbl 1399.65265Shu, Ruiwen; Hu, Jingwei; Jin, Shi 18 2017 A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010Jin, Shi; Xiu, Dongbin; Zhu, Xueyu 17 2016 Convergence of a first-order consensus-based global optimization algorithm. Zbl 1467.90040Ha, Seung-Yeal; Jin, Shi; Kim, Doheon 17 2020 An efficient method for computing hyperbolic systems with geometrical source terms having concentrations. Zbl 1119.65373Jin, Shi; Wen, Xin 17 2004 A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof 16 2007 A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections. Zbl 1128.35012Jin, Shi; Wen, Xin 16 2006 Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003 15 2017 Efficient stochastic asymptotic-preserving implicit-explicit methods for transport equations with diffusive scalings and random inputs. Zbl 1391.35307Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo 14 2018 Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials. Zbl 1346.81044Jin, Shi; Wu, Hao; Yang, Xu; Huang, Zhongyi 14 2010 An asymptotic-preserving stochastic Galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings. Zbl 1380.65271Jin, Shi; Lu, Hanqing 13 2017 The random projection method for stiff detonation capturing. Zbl 0997.80013Bao, Weizhu; Jin, Shi 13 2001 Semi-eulerian and high order Gaussian beam methods for the Schrödinger equation in the semiclassical regime. Zbl 1364.81128Jin, Shi; Wu, Hao; Yang, Xu 13 2011 The random projection method for stiff multispecies detonation capturing. Zbl 1017.76073Bao, Weizhu; Jin, Shi 13 2002 Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds. Zbl 1093.78002Jin, Shi; Wen, Xin 12 2006 A successive penalty-based asymptotic-preserving scheme for kinetic equations. Zbl 1269.82025Yan, Bokai; Jin, Shi 12 2013 A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials. Zbl 1305.35122Jin, Shi; Zhou, Zhennan 11 2013 A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179Hu, Jingwei; Jin, Shi; Xiu, Dongbin 11 2015 A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty. Zbl 1375.76195Jin, Shi; Shu, Ruiwen 11 2017 On kinetic flux vector splitting schemes for quantum Euler equations. Zbl 1220.35128Hu, Jingwei; Jin, Shi 11 2011 Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof 11 2008 A BGK-penalization-based asymptotic-preserving scheme for the multispecies Boltzmann equation. Zbl 1268.82030Jin, Shi; Li, Qin 11 2013 Robust numerical simulation of porosity evolution in chemical vapor infiltration. II: Two-dimensional anisotropic fronts. Zbl 1130.76385Jin, Shi; Wang, Xuelei 11 2002 Hyperbolic systems with supercharacteristic relaxations and roll waves. Zbl 0988.35107Jin, Shi; Katsoulakis, Markos A. 11 2000 A micro-macro decomposition-based asymptotic-preserving scheme for the multispecies Boltzmann equation. Zbl 1323.76099Jin, Shi; Shi, Yingzhe 11 2010 Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions. Zbl 1433.34064Fang, Di; Ha, Seung-Yeal; Jin, Shi 10 2019 Zero reaction limit for hyperbolic conservation laws with source terms. Zbl 0966.35075Fan, Haitao; Jin, Shi; Teng, Zhenhuan 10 2000 Convergence of the random batch method for interacting particles with disparate species and weights. Zbl 1466.65011Jin, Shi; Li, Lei; Liu, Jian-Guo 10 2021 A semiclassical transport model for thin quantum barriers. Zbl 1130.65087Jin, Shi; Novak, Kyle A. 10 2006 Local sensitivity analysis for the Cucker-Smale model with random inputs. Zbl 1457.92198Ha, Seung-Yeal; Jin, Shi 10 2018 A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Zbl 0998.82027Jin, Shi; Pareschi, Lorenzo; Slemrod, Marshall 10 2002 A convex entropy for a hyperbolic system with relaxation. Zbl 0853.35066Jin, Shi 9 1996 A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs. Zbl 1395.35178Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook 9 2018 An Eulerian surface hopping method for the Schrödinger equation with conical crossings. Zbl 1219.35202Jin, Shi; Qi, Peng; Zhang, Zhiwen 9 2011 Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai 9 2013 A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface. Zbl 1191.65181Jin, Shi; Tang, Min; Han, Houde 9 2009 Convergence and error estimates for time-discrete consensus-based optimization algorithms. Zbl 1467.65064Ha, Seung-Yeal; Jin, Shi; Kim, Doheon 8 2021 Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime. Zbl 1414.35174Shu, Ruiwen; Jin, Shi 8 2018 Numerical integrations of systems of conservation laws of mixed types. Zbl 0839.65092Jin, Shi 8 1995 A Hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media. Zbl 1113.35010Jin, Shi; Liao, Xiaomei 8 2006 Numerical study of a domain decomposition method for a two-scale linear transport equation. Zbl 1115.65396Yang, Xu; Golse, Francois; Huang, Zhongyi; Jin, Shi 8 2006 An asymptotic-preserving Monte Carlo method for the Boltzmann equation. Zbl 1349.82110Ren, Wei; Liu, Hong; Jin, Shi 8 2014 Regularization of the Burnett equations for rapid granular flows via relaxation. Zbl 1037.76061Jin, Shi; Slemrod, Marshall 8 2001 A time-splitting spectral method for the generalized Zakharov system in multi-dimensions. Zbl 1203.65138Jin, Shi; Zheng, Chunxiong 8 2006 A random batch Ewald method for particle systems with Coulomb interactions. Zbl 07379627Jin, Shi; Li, Lei; Xu, Zhenli; Zhao, Yue 7 2021 Nonlinear geometric optics method-based multi-scale numerical schemes for a class of highly oscillatory transport equations. Zbl 1372.35256Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed 7 2017 An asymptotic preserving two-dimensional staggered grid method for multiscale transport equations. Zbl 1339.82008Küpper, Kerstin; Frank, Martin; Jin, Shi 7 2016 Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: \(L^1\)-error estimates. Zbl 1174.65031Wen, Xin; Jin, Shi 7 2008 Diffusion limit of a hyperbolic system with relaxation. Zbl 0922.35086Jin, Shi; Liu, Hailiang 7 1998 On the mean field limit of the random batch method for interacting particle systems. Zbl 1481.65018Jin, Shi; Li, Lei 3 2022 A consensus-based global optimization method with adaptive momentum estimation. Zbl 1508.68283Chen, Jingrun; Jin, Shi; Lyu, Liyao 3 2022 Random batch particle methods for the homogeneous Landau equation. Zbl 1486.65013Carrillo, José Antonio; Jin, Shi; Tang, Yijia 2 2022 Random batch methods for classical and quantum interacting particle systems and statistical samplings. Zbl 1506.82046Jin, Shi; Li, Lei 2 2022 The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Zbl 1487.35367Jin, Shi; Zhu, Yuhua; Zuazua, Enrique 1 2022 Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials. Zbl 07517114Tao, Molei; Jin, Shi 1 2022 A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit. Zbl 07517728Jin, Shi; Tang, Min; Zhang, Xiaojiang 1 2022 On the random batch method for second order interacting particle systems. Zbl 1505.65003Jin, Shi; Li, Lei; Sun, Yiqun 1 2022 Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations. Zbl 07605605Jin, Shi; Liu, Nana; Yu, Yue 1 2022 Asymptotic-preserving schemes for multiscale physical problems. Zbl 07674584Jin, Shi 1 2022 A consensus-based global optimization method for high dimensional machine learning problems. Zbl 1480.60195Carrillo, José A.; Jin, Shi; Li, Lei; Zhu, Yuhua 20 2021 Convergence of the random batch method for interacting particles with disparate species and weights. Zbl 1466.65011Jin, Shi; Li, Lei; Liu, Jian-Guo 10 2021 Convergence and error estimates for time-discrete consensus-based optimization algorithms. Zbl 1467.65064Ha, Seung-Yeal; Jin, Shi; Kim, Doheon 8 2021 A random batch Ewald method for particle systems with Coulomb interactions. Zbl 07379627Jin, Shi; Li, Lei; Xu, Zhenli; Zhao, Yue 7 2021 On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038Golse, François; Jin, Shi; Paul, Thierry 6 2021 Uniform error estimates for the random batch method to the first-order consensus models with antisymmetric interaction kernels. Zbl 1467.82056Ko, Dongnam; Ha, Seung-Yeal; Jin, Shi; Kim, Doheon 5 2021 The random batch method for \(N\)-body quantum dynamics. Zbl 1499.82029Golse, François; Jin, Shi; Paul, Thierry 4 2021 Uniform-in-time error estimate of the random batch method for the Cucker-Smale model. Zbl 1492.92003Ha, Seung-Yeal; Jin, Shi; Kim, Doheon; Ko, Dongnam 4 2021 Error estimate of a bifidelity method for kinetic equations with random parameters and multiple scales. Zbl 1498.35377Gamba, Irene M.; Jin, Shi; Liu, Liu 2 2021 Convergence toward equilibrium of the first-order consensus model with random batch interactions. Zbl 07405921Ha, Seung-Yeal; Jin, Shi; Kim, Doheon; Ko, Dongnam 1 2021 Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065Jin, Shi; Li, Lei; Liu, Jian-Guo 33 2020 Convergence of a first-order consensus-based global optimization algorithm. Zbl 1467.90040Ha, Seung-Yeal; Jin, Shi; Kim, Doheon 17 2020 Random batch algorithms for quantum Monte Carlo simulations. Zbl 1473.65008Jin, Shi; Li, Xiantao 5 2020 Moving-water equilibria preserving partial relaxation scheme for the Saint-Venant system. Zbl 1446.76133Liu, Xin; Chen, Xi; Jin, Shi; Kurganov, Alexander; Wu, Tong; Yu, Hui 3 2020 Sharp decay estimates in local sensitivity analysis for evolution equations with uncertainties: from ODEs to linear kinetic equations. Zbl 1428.35036Arnold, Anton; Jin, Shi; Wöhrer, Tobias 3 2020 Local sensitivity analysis for the Kuramoto-Daido model with random inputs in a large coupling regime. Zbl 1443.34032Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook 3 2020 A local sensitivity analysis for the hydrodynamic Cucker-Smale model with random inputs. Zbl 1428.35594Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook; Shim, Woojoo 3 2020 Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs. Zbl 1453.65020Jin, Shi; Liu, Liu; Russo, Giovanni; Zhou, Zhennan 1 2020 Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. Zbl 1471.65137Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Liu, Liu 1 2020 Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions. Zbl 1433.34064Fang, Di; Ha, Seung-Yeal; Jin, Shi 10 2019 A study of hyperbolicity of kinetic stochastic Galerkin system for the isentropic Euler equations with uncertainty. Zbl 1428.35212Jin, Shi; Shu, Ruiwen 6 2019 On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime. Zbl 1453.65019Hu, Jingwei; Jin, Shi; Shu, Ruiwen 5 2019 Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations. Zbl 1451.76112Gamba, Irene M.; Jin, Shi; Liu, Liu 4 2019 A local sensitivity analysis for the kinetic Kuramoto equation with random inputs. Zbl 1428.35593Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook 4 2019 A study of Landau damping with random initial inputs. Zbl 1416.35305Shu, Ruiwen; Jin, Shi 4 2019 Spectral convergence of the stochastic Galerkin approximation to the Boltzmann equation with multiple scales and large random perturbation in the collision kernel. Zbl 1420.65104Daus, Esther S.; Jin, Shi; Liu, Liu 4 2019 Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît 3 2019 Random regularity of a nonlinear Landau damping solution for the Vlasov-Poisson equations with random inputs. Zbl 1498.35540Ding, Zhiyan; Jin, Shi 2 2019 Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses. I: Time discretization and asymptotic analysis. Zbl 1433.35211Gamba, Irene M.; Jin, Shi; Liu, Liu 1 2019 Hypocoercivity and uniform regularity for the Vlasov-Poisson-Fokker-Planck system with uncertainty and multiple scales. Zbl 1390.35295Jin, Shi; Zhu, Yuhua 23 2018 Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs. Zbl 1403.35197Liu, Liu; Jin, Shi 20 2018 Efficient stochastic asymptotic-preserving implicit-explicit methods for transport equations with diffusive scalings and random inputs. Zbl 1391.35307Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo 14 2018 Local sensitivity analysis for the Cucker-Smale model with random inputs. Zbl 1457.92198Ha, Seung-Yeal; Jin, Shi 10 2018 A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs. Zbl 1395.35178Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook 9 2018 Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime. Zbl 1414.35174Shu, Ruiwen; Jin, Shi 8 2018 An efficient time-splitting method for the Ehrenfest dynamics. Zbl 1426.35194Fang, Di; Jin, Shi; Sparber, Christof 7 2018 A stochastic Galerkin method for the Fokker-Planck-Landau equation with random uncertainties. Zbl 1412.65142Hu, Jingwei; Jin, Shi; Shu, Ruiwen 5 2018 Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. Zbl 1415.76769Jin, Shi; Tran, Minh-Binh 4 2018 Mathematical analysis and numerical methods for multiscale kinetic equations with uncertainties. Zbl 1453.82071Jin, Shi 3 2018 The discrete stochastic Galerkin method for hyperbolic equations with non-smooth and random coefficients. Zbl 1398.65210Jin, Shi; Ma, Zheng 2 2018 A high order stochastic asymptotic preserving scheme for chemotaxis kinetic models with random inputs. Zbl 1471.92062Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo 2 2018 Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws. Zbl 1384.65052Coquel, Frédéric; Jin, Shi; Liu, Jian-Guo; Wang, Li 1 2018 Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method. Zbl 1375.65004Jin, Shi; Liu, Jian-Guo; Ma, Zheng 27 2017 Asymptotic-preserving schemes for multiscale hyperbolic and kinetic equations. Zbl 1366.82029Hu, J.; Jin, Shi; Li, Q. 26 2017 An asymptotic-preserving stochastic Galerkin method for the semiconductor Boltzmann equation with random inputs and diffusive scalings. Zbl 1367.35100Jin, Shi; Liu, Liu 26 2017 Uncertainty quantification for kinetic equations. Zbl 1459.65208Hu, Jingwei; Jin, Shi 21 2017 A stochastic Galerkin method for the Boltzmann equation with multi-dimensional random inputs using sparse wavelet bases. Zbl 1399.65265Shu, Ruiwen; Hu, Jingwei; Jin, Shi 18 2017 Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003 15 2017 An asymptotic-preserving stochastic Galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings. Zbl 1380.65271Jin, Shi; Lu, Hanqing 13 2017 A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty. Zbl 1375.76195Jin, Shi; Shu, Ruiwen 11 2017 Nonlinear geometric optics method-based multi-scale numerical schemes for a class of highly oscillatory transport equations. Zbl 1372.35256Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed 7 2017 On the classical limit of a time-dependent self-consistent field system: analysis and computation. Zbl 1352.35142Jin, Shi; Sparber, Christof; Zhou, Zhennan 4 2017 A stochastic Galerkin method for the Boltzmann equation with uncertainty. Zbl 1349.82088Hu, Jingwei; Jin, Shi 38 2016 A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010Jin, Shi; Xiu, Dongbin; Zhu, Xueyu 17 2016 An asymptotic preserving two-dimensional staggered grid method for multiscale transport equations. Zbl 1339.82008Küpper, Kerstin; Frank, Martin; Jin, Shi 7 2016 An asymptotic preserving Monte Carlo method for the multispecies Boltzmann equation. Zbl 1349.82133Zhang, Bin; Liu, Hong; Jin, Shi 5 2016 Bayes-optimal joint channel-and-data estimation for massive MIMO with low-precision ADCs. Zbl 1414.94670Wen, Chao-Kai; Wang, Chang-Jen; Jin, Shi; Wong, Kai-Kit; Ting, Pangan 1 2016 Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407Jin, Shi; Xiu, Dongbin; Zhu, Xueyu 34 2015 A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179Hu, Jingwei; Jin, Shi; Xiu, Dongbin 11 2015 A Gaussian beam method for high frequency solution of symmetric hyperbolic systems with polarized waves. Zbl 1317.74047Jefferis, Leland; Jin, Shi 4 2015 An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: a splitting approach. Zbl 1317.65171Hu, Jingwei; Jin, Shi; Wang, Li 3 2015 Computing high frequency solutions of symmetric hyperbolic systems with polarized waves. Zbl 1314.74029Jefferis, Leland; Jin, Shi 1 2015 An asymptotic-preserving Monte Carlo method for the Boltzmann equation. Zbl 1349.82110Ren, Wei; Liu, Hong; Jin, Shi 8 2014 Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate. Zbl 1304.35534Coquel, Frédéric; Jin, Shi; Liu, Jian-Guo; Wang, Li 6 2014 Gaussian beam methods for the Schrödinger equation with discontinuous potentials. Zbl 1293.81019Jin, Shi; Wei, Dongming; Yin, Dongsheng 3 2014 A successive penalty-based asymptotic-preserving scheme for kinetic equations. Zbl 1269.82025Yan, Bokai; Jin, Shi 12 2013 A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials. Zbl 1305.35122Jin, Shi; Zhou, Zhennan 11 2013 A BGK-penalization-based asymptotic-preserving scheme for the multispecies Boltzmann equation. Zbl 1268.82030Jin, Shi; Li, Qin 11 2013 Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai 9 2013 Semi-classical models for the Schrödinger equation with periodic potentials and band crossings. Zbl 1268.81058Chai, Lihui; Jin, Shi; Li, Qin 6 2013 A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations. Zbl 1263.65094Jin, Shi; Liu, Jian-Guo; Wang, Li 5 2013 Asymptotic-preserving numerical schemes for the semiconductor Boltzmann equation efficient in the high field regime. Zbl 1277.82047Jin, Shi; Wang, Li 5 2013 \(l^1\)-error estimates on the immersed interface upwind scheme for linear convection equations with piecewise constant coefficients: a simple proof. Zbl 1305.65202Jin, Shi; Qi, Peng 2 2013 The Gaussian beam method for the Wigner equation with discontinuous potentials. Zbl 1273.65155Yin, Dongsheng; Tang, Min; Jin, Shi 2 2013 Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review. Zbl 1259.82079Jin, Shi 128 2012 An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284Haack, Jeffrey; Jin, Shi; Liu, Jian-guo 61 2012 A numerical scheme for the quantum Boltzmann equation with stiff collision terms. Zbl 1277.82046Filbet, Francis; Hu, Jingwei; Jin, Shi 21 2012 Gaussian beam methods for the Dirac equation in the semi-classical regime. Zbl 1281.65133Huang, Zhongyi; Jin, Shi; Wu, Hao; Yin, Dongsheng 20 2012 A numerical scheme for the quantum Fokker-Planck-Landau equation efficient in the fluid regime. Zbl 1373.82078Hu, Jingwei; Jin, Shi; Yan, Bokai 6 2012 Simulation of fluid-particles flows: heavy particles, flowing regime, and asymptotic-preserving schemes. Zbl 1278.35191Goudon, Thierry; Jin, Shi; Yan, Bokai 5 2012 Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071Jin, Shi; Markowich, Peter; Sparber, Christof 63 2011 An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation. Zbl 1433.82022Filbet, Francis; Jin, Shi 42 2011 A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation. Zbl 1408.76594Jin, Shi; Yan, Bokai 29 2011 Semi-eulerian and high order Gaussian beam methods for the Schrödinger equation in the semiclassical regime. Zbl 1364.81128Jin, Shi; Wu, Hao; Yang, Xu 13 2011 On kinetic flux vector splitting schemes for quantum Euler equations. Zbl 1220.35128Hu, Jingwei; Jin, Shi 11 2011 An Eulerian surface hopping method for the Schrödinger equation with conical crossings. Zbl 1219.35202Jin, Shi; Qi, Peng; Zhang, Zhiwen 9 2011 A hybrid Schrödinger/Gaussian beam solver for quantum barriers and surface hopping. Zbl 1301.81057Jin, Shi; Qi, Peng 4 2011 Computational high frequency wave diffraction by a corner via the Liouville equation and geometric theory of diffraction. Zbl 1217.78033Jin, Shi; Yin, Dongsheng 1 2011 A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. Zbl 1202.82066Filbet, Francis; Jin, Shi 144 2010 Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials. Zbl 1346.81044Jin, Shi; Wu, Hao; Yang, Xu; Huang, Zhongyi 14 2010 ...and 95 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,976 Authors 101 Jin, Shi 46 Pareschi, Lorenzo 37 Bao, Weizhu 28 Berthon, Christophe 28 Dimarco, Giacomo 26 Ha, Seung-Yeal 26 Liu, Hailiang 26 Xu, Kun 22 Crouseilles, Nicolas 22 Gosse, Laurent 22 Lemou, Mohammed 21 Herty, Michael Matthias 21 Russo, Giovanni 19 Chalons, Christophe 19 Shu, Chi-Wang 18 Degond, Pierre 18 Yun, Seok-Bae 17 Kurganov, Alexander 16 Li, Qin 16 Liu, Jianguo 16 Puppo, Gabriella 15 Banda, Mapundi Kondwani 15 Cai, Yongyong 15 Hu, Jingwei 15 Klar, Axel 15 Lu, Jianfeng 15 Zhou, Zhennan 14 Hauck, Cory D. 14 Liu, Liu 14 Wang, Li 13 Boscarino, Sebastiano 13 Coquel, Frédéric 13 Filbet, Francis 13 Frank, Martin 13 Méhats, Florian 13 Natalini, Roberto 12 Boscheri, Walter 12 Deluzet, Fabrice 12 Markowich, Peter Alexander 12 Mieussens, Luc 12 Yang, Xu 12 Zhao, Xiaofei 11 Buet, Christophe 11 Cai, Zhenning 11 Chertock, Alina E. 11 Després, Bruno 11 Li, Lei 11 Li, Ruo 11 Lukáčová-Medvid’ová, Mária 11 Samaey, Giovanni 11 Schütz, Jochen 11 Seaïd, Mohammed 11 Wang, Tingchun 11 Wei, Guowei 10 Chartier, Philippe 10 Franck, Emmanuel 10 Klingenberg, Christian F. 10 Lorin, Emmanuel 10 Negulescu, Claudia 10 Su, Chunmei 10 Turpault, Rodolphe 10 Wang, Yanli 10 Zanella, Mattia 9 Hérard, Jean-Marc 9 Li, Fengyan 9 Mai Duc Thanh 9 Massot, Marc 9 Noelle, Sebastian 9 Qian, Jianliang 9 Rey, Thomas 9 Shu, Ruiwen 9 Struchtrup, Henning 9 Tang, Qinglin 9 Yin, Jia 8 Bouchut, François 8 Carrillo de la Plata, José Antonio 8 Dehghan Takht Fooladi, Mehdi 8 Fox, Rodney O. 8 Goudon, Thierry 8 Huang, Zhongyi 8 Iollo, Angelo 8 Kim, Doheon 8 Kim, Dohyun 8 Liu, Chang 8 Loubère, Raphaël 8 Pirner, Marlies 8 Qiu, Jingmei 8 Sun, Wenjun 8 Vignal, Marie-Hélène 8 Xiong, Tao 8 Zheng, Chunxiong 7 Albi, Giacomo 7 Dong, Jian 7 Einkemmer, Lukas 7 Guo, Boling 7 Junk, Michael 7 Li, Xianggui 7 Sparber, Christof 7 Vauchelet, Nicolas 7 Xing, Yulong ...and 1,876 more Authors all top 5 Cited in 194 Serials 400 Journal of Computational Physics 100 Journal of Scientific Computing 57 SIAM Journal on Scientific Computing 50 Mathematics of Computation 47 Journal of Differential Equations 44 M\(^3\)AS. 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Série VI ...and 94 more Serials all top 5 Cited in 45 Fields 1,072 Numerical analysis (65-XX) 963 Partial differential equations (35-XX) 684 Fluid mechanics (76-XX) 324 Statistical mechanics, structure of matter (82-XX) 122 Quantum theory (81-XX) 66 Biology and other natural sciences (92-XX) 63 Classical thermodynamics, heat transfer (80-XX) 58 Optics, electromagnetic theory (78-XX) 42 Probability theory and stochastic processes (60-XX) 42 Mechanics of deformable solids (74-XX) 41 Ordinary differential equations (34-XX) 35 Operations research, mathematical programming (90-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 26 Geophysics (86-XX) 24 Approximations and expansions (41-XX) 21 Astronomy and astrophysics (85-XX) 20 Integral equations (45-XX) 19 Mechanics of particles and systems (70-XX) 14 Computer science (68-XX) 13 Systems theory; control (93-XX) 8 Statistics (62-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Information and communication theory, circuits (94-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) Citations by Year