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## Jin, Shi

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 Author ID: jin.shi Published as: Jin, Shi; Jin, Shih; Jin, S. Homepage: http://www.math.wisc.edu/~jin/ External Links: MGP · ResearchGate · dblp
 Documents Indexed: 204 Publications since 1991, including 1 Book
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#### Co-Authors

 11 single-authored 11 Ha, Seung-Yeal 11 Hu, Jingwei 11 Liu, Jianguo 11 Markowich, Peter Alexander 10 Yang, Xu 9 Bao, Weizhu 9 Huang, Zhongyi 9 Wen, Xin 8 Gao, Xiqi 8 Shu, Ruiwen 8 Sparber, Christof 8 Wong, Kai-Kit 7 Liu, Liu 7 McKay, Matthew R. 7 Pareschi, Lorenzo 6 Wu, Hao 6 Yan, Bokai 6 Yin, Dongsheng 5 Jung, Jinwook 5 Wang, Li 4 Degond, Pierre 4 Golse, François 4 Kim, Doheon 4 Levermore, C. David 4 Li, Xiantao 4 Liu, Hailiang 4 Slemrod, Marshall 4 Xin, Zhouping 3 Crouseilles, Nicolas 3 Fan, Haitao 3 Fang, Di 3 Filbet, Francis 3 Goudon, Thierry 3 Katsoulakis, Markos A. 3 Lemou, Mohammed 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 Coquel, Frédéric 2 Martínez Gamba, Irene 2 Jefferis, Leland 2 Ko, Dongnam 2 Li, Qin 2 Li, Xiao 2 Liu, Hong 2 Ma, Zheng 2 Minev, Peter Dimitrov 2 Nandakumar, Krishnaswamy 2 Toscani, Giuseppe 2 Wang, Wenjin 2 Wei, Dongming 2 You, Xiaohu 2 Zhu, Xueyu 2 Zhu, Yuhua 1 Arnold, Anton 1 Au, Edward K. S. 1 Bouchut, François 1 Caflisch, Russel E. 1 Carrillo de la Plata, José Antonio 1 Chai, Lihui 1 Chen, Xinfu 1 Daus, Esther S. 1 Ding, Zhiyan 1 Fannjiang, Albert C. 1 Frank, Martin 1 Gao, Feifei 1 Gosse, Laurent 1 Haack, Jeffrey R. 1 Han, Houde 1 Jiang, Bin 1 Joshi, Jyeshtharaj B. 1 Kim, Yong Jung 1 Küpper, Kerstin 1 Kurganov, Alexander 1 Levermore, David 1 Li, Ye (Geoffrey) 1 Li, Yingda 1 Liu, Xin 1 Méhats, Florian 1 Mieussens, Luc 1 Miller, Judith R. 1 Papanicolaou, George C. 1 Paul, Thierry 1 Perthame, Benoît 1 Reddy, Rupesh K. 1 Shi, Yingzhe 1 Shim, Woojoo 1 Starr, Thomas L. 1 Sun, Liang 1 Teng, Zhen-Huan 1 Ting, Pangan ...and 17 more Co-Authors
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#### Serials

 33 Journal of Computational Physics 15 SIAM Journal on Scientific Computing 12 SIAM Journal on Numerical Analysis 11 IEEE Transactions on Signal Processing 10 Kinetic and Related Models 9 Journal of Differential Equations 9 Multiscale Modeling & Simulation 8 Communications in Mathematical Sciences 6 Journal of Computational Mathematics 5 Journal of Scientific Computing 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Communications in Computational Physics 3 Transport Theory and Statistical Physics 3 Physica D 3 SIAM Journal on Applied Mathematics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 Quarterly of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Methods and Applications of Analysis 2 International Journal of Computational Fluid Dynamics 2 Journal of Hyperbolic Differential Equations 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 Numerische Mathematik 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 Acta Numerica 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. Mathematics 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
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#### Fields

 125 Numerical analysis (65-XX) 108 Partial differential equations (35-XX) 56 Statistical mechanics, structure of matter (82-XX) 49 Fluid mechanics (76-XX) 26 Quantum theory (81-XX) 15 Information and communication theory, circuits (94-XX) 11 Optics, electromagnetic theory (78-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 9 Mechanics of deformable solids (74-XX) 7 Integral equations (45-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-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 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

170 Publications have been cited 2,802 times in 1,326 Documents Cited by Year
The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078
Jin, Shi; Xin, Zhouping
1995
Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008
Jin, Shi
1999
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
2002
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. Zbl 1202.82066
Filbet, Francis; Jin, Shi
2010
Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review. Zbl 1259.82079
Jin, Shi
2012
Uniformly accurate diffusive relaxation schemes for multiscale transport equations. Zbl 0976.65091
Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe
2000
A steady-state capturing method for hyperbolic systems with geometrical source terms. Zbl 1001.35083
Jin, Shi
2001
Numerical schemes for hyperbolic conservation laws with stiff relaxation terms. Zbl 0860.65089
Jin, Shi; Levermore, C. David
1996
Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations. Zbl 0938.35097
Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe
1998
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
2003
Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms. Zbl 0840.65098
Jin, Shi
1995
Uniformly accurate schemes for hyperbolic systems with relaxation. Zbl 0868.35070
Caflisch, Russel E.; Jin, Shi; Russo, Giovanni
1997
Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080
Bouchut, François; Jin, Shi; Li, Xiantao
2003
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
2011
An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284
Haack, Jeffrey; Jin, Shi; Liu, Jian-guo
2012
Numerical passage from systems of conservation laws to Hamilton–Jacobi equations, and relaxation schemes. Zbl 0921.65063
Jin, Shi; Xin, Zhouping
1998
A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations. Zbl 1090.35116
Jin, Shi; Osher, Stanley
2003
An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation. Zbl 1433.82022
Filbet, Francis; Jin, Shi
2011
Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation. Zbl 1072.65132
Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Yen-Hsi Richard
2005
Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner. Zbl 1073.81041
Jin, Shi; Li, Xiantao
2003
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
2005
The random projection method for hyperbolic conservation laws with stiff reaction terms. Zbl 0966.65073
Bao, Weizhu; Jin, Shi
2000
Regularization of the Burnett equations via relaxation. Zbl 1019.82018
Jin, Shi; Slemrod, Marshall
2001
The convergence of numerical transfer schemes in diffusive regimes. I: Discrete-ordinate method. Zbl 1053.82030
Golse, François; Jin, Shi; Levermore, C. David
1999
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
2004
A smooth transition model between kinetic and hydrodynamic equations. Zbl 1138.82324
Degond, Pierre; Jin, Shi; Mieussens, Luc
2005
Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
2015
Two moment systems for computing multiphase semiclassical limits of the Schrödinger equation. Zbl 1055.81013
Gosse, Laurent; Jin, Shi; Li, Xiantao
2003
The effects of numerical viscosities. I: Slowly moving shocks. Zbl 0858.76054
Jin, Shi; Liu, Jian-Guo
1996
Gaussian beam methods for the Schrödinger equation in the semi-classical regime: Lagrangian and Eulerian formulations. Zbl 1161.81369
Jin, Shi; Wu, Hao; Yang, Xu
2008
A stochastic Galerkin method for the Boltzmann equation with uncertainty. Zbl 1349.82088
Hu, Jingwei; Jin, Shi
2016
Mach-number uniform asymptotic-preserving gauge schemes for compressible flows. Zbl 1210.76135
Degond, P.; Jin, S.; Liu, J.-G.
2007
The discrete-ordinate method in diffusive regimes. Zbl 0760.65125
Jin, Shi; Levermore, David
1991
Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes. Zbl 1156.82408
Jin, Shi; Pareschi, Lorenzo
2000
Two interface-type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations. Zbl 1083.35062
Jin, Shi; Wen, Xin
2005
A smooth transition model between kinetic and diffusion equations. Zbl 1086.82005
Degond, Pierre; Jin, Shi
2005
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 1375.65004
Jin, Shi; Liu, Jian-Guo; Ma, Zheng
2017
An asymptotic-preserving stochastic Galerkin method for the semiconductor Boltzmann equation with random inputs and diffusive scalings. Zbl 1367.35100
Jin, Shi; Liu, Liu
2017
Fully-discrete numerical transfer in diffusive regimes. Zbl 0818.65141
Jin, Shi; Levermore, C. David
1993
Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems. Zbl 1098.65094
Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Richard
2005
Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials. Zbl 1094.35074
Jin, Shi; Wen, Xin
2005
An efficient method for computing hyperbolic systems with geometrical source terms having concentrations. Zbl 1119.65373
Jin, Shi; Wen, Xin
2004
A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation. Zbl 1408.76594
Jin, Shi; Yan, Bokai
2011
A numerical scheme for the quantum Boltzmann equation with stiff collision terms. Zbl 1277.82046
Filbet, Francis; Hu, Jingwei; Jin, Shi
2012
A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections. Zbl 1128.35012
Jin, Shi; Wen, Xin
2006
Gaussian beam methods for the Dirac equation in the semi-classical regime. Zbl 1281.65133
Huang, Zhongyi; Jin, Shi; Wu, Hao; Yin, Dongsheng
2012
Asymptotic-preserving schemes for multiscale hyperbolic and kinetic equations. Zbl 1366.82029
Hu, J.; Jin, Shi; Li, Q.
2017
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
2003
Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs. Zbl 1403.35197
Liu, Liu; Jin, Shi
2018
Uncertainty quantification for kinetic equations. Zbl 1459.65208
Hu, Jingwei; Jin, Shi
2017
Hypocoercivity and uniform regularity for the Vlasov-Poisson-Fokker-Planck system with uncertainty and multiple scales. Zbl 1390.35295
Jin, Shi; Zhu, Yuhua
2018
On the time splitting spectral method for the complex Ginzburg-Landau equation in the large time and space scale limit. Zbl 1176.35170
Degond, Pierre; Jin, Shi; Tang, Min
2008
A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
2016
A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
2007
Semi-eulerian and high order Gaussian beam methods for the Schrödinger equation in the semiclassical regime. Zbl 1364.81128
Jin, Shi; Wu, Hao; Yang, Xu
2011
A stochastic Galerkin method for the Boltzmann equation with multi-dimensional random inputs using sparse wavelet bases. Zbl 1399.65265
Shu, Ruiwen; Hu, Jingwei; Jin, Shi
2017
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds. Zbl 1093.78002
Jin, Shi; Wen, Xin
2006
Zero reaction limit for hyperbolic conservation laws with source terms. Zbl 0966.35075
Fan, Haitao; Jin, Shi; Teng, Zhenhuan
2000
The random projection method for stiff detonation capturing. Zbl 0997.80013
Bao, Weizhu; Jin, Shi
2001
The random projection method for stiff multispecies detonation capturing. Zbl 1017.76073
Bao, Weizhu; Jin, Shi
2002
A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Zbl 0998.82027
Jin, Shi; Pareschi, Lorenzo; Slemrod, Marshall
2002
Robust numerical simulation of porosity evolution in chemical vapor infiltration. II: Two-dimensional anisotropic fronts. Zbl 1130.76385
Jin, Shi; Wang, Xuelei
2002
An asymptotic-preserving stochastic Galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings. Zbl 1380.65271
Jin, Shi; Lu, Hanqing
2017
Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials. Zbl 1346.81044
Jin, Shi; Wu, Hao; Yang, Xu; Huang, Zhongyi
2010
A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179
Hu, Jingwei; Jin, Shi; Xiu, Dongbin
2015
On kinetic flux vector splitting schemes for quantum Euler equations. Zbl 1220.35128
Hu, Jingwei; Jin, Shi
2011
Hyperbolic systems with supercharacteristic relaxations and roll waves. Zbl 0988.35107
Jin, Shi; Katsoulakis, Markos A.
2000
A micro-macro decomposition-based asymptotic-preserving scheme for the multispecies Boltzmann equation. Zbl 1323.76099
Jin, Shi; Shi, Yingzhe
2010
A convex entropy for a hyperbolic system with relaxation. Zbl 0853.35066
Jin, Shi
1996
Regularization of the Burnett equations for rapid granular flows via relaxation. Zbl 1037.76061
Jin, Shi; Slemrod, Marshall
2001
Local sensitivity analysis for the Cucker-Smale model with random inputs. Zbl 1457.92198
Ha, Seung-Yeal; Jin, Shi
2018
A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty. Zbl 1375.76195
Jin, Shi; Shu, Ruiwen
2017
Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046
Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai
2013
A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials. Zbl 1305.35122
Jin, Shi; Zhou, Zhennan
2013
A BGK-penalization-based asymptotic-preserving scheme for the multispecies Boltzmann equation. Zbl 1268.82030
Jin, Shi; Li, Qin
2013
A semiclassical transport model for thin quantum barriers. Zbl 1130.65087
Jin, Shi; Novak, Kyle A.
2006
Numerical integrations of systems of conservation laws of mixed types. Zbl 0839.65092
Jin, Shi
1995
Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: $$L^1$$-error estimates. Zbl 1174.65031
Wen, Xin; Jin, Shi
2008
Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003
Jin, Shi (ed.); Pareschi, Lorenzo (ed.)
2017
A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs. Zbl 1395.35178
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook
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 1414.35174
Shu, Ruiwen; Jin, Shi
2018
Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
2008
A Hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media. Zbl 1113.35010
Jin, Shi; Liao, Xiaomei
2006
Numerical study of a domain decomposition method for a two-scale linear transport equation. Zbl 1115.65396
Yang, Xu; Golse, Francois; Huang, Zhongyi; Jin, Shi
2006
Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions. Zbl 1433.34064
Fang, Di; Ha, Seung-Yeal; Jin, Shi
2019
A numerical study of the Gaussian beam methods for Schrödinger-Poisson equations. Zbl 1224.81005
Jin, Shi; Wu, Hao; Yang, Xu
2010
A successive penalty-based asymptotic-preserving scheme for kinetic equations. Zbl 1269.82025
Yan, Bokai; Jin, Shi
2013
Nonlinear geometric optics method-based multi-scale numerical schemes for a class of highly oscillatory transport equations. Zbl 1372.35256
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed
2017
Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065
Jin, Shi; Li, Lei; Liu, Jian-Guo
2020
Weakly compressible high-order $$I$$-stable central difference schemes for incompressible viscous flows. Zbl 1054.76060
Bao, Weizhu; Jin, Shi
2001
Diffusion limit of a hyperbolic system with relaxation. Zbl 0922.35086
Jin, Shi; Liu, Hailiang
1998
High frequency behavior of the focusing nonlinear Schrödinger equation with random inhomogeneities. Zbl 1037.35079
Fannjiang, Albert; Jin, Shi; Papanicolaou, George
2003
Efficient stochastic asymptotic-preserving implicit-explicit methods for transport equations with diffusive scalings and random inputs. Zbl 1391.35307
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo
2018
An asymptotic-preserving Monte Carlo method for the Boltzmann equation. Zbl 1349.82110
Ren, Wei; Liu, Hong; Jin, Shi
2014
Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate. Zbl 1304.35534
Coquel, Frédéric; Jin, Shi; Liu, Jian-Guo; Wang, Li
2014
A time-splitting spectral method for the generalized Zakharov system in multi-dimensions. Zbl 1203.65138
Jin, Shi; Zheng, Chunxiong
2006
Simulation of fluid-particles flows: heavy particles, flowing regime, and asymptotic-preserving schemes. Zbl 1278.35191
Goudon, Thierry; Jin, Shi; Yan, Bokai
2012
A semiclassical transport model for two-dimensional thin quantum barriers. Zbl 1123.81021
Jin, Shi; Novak, Kyle A.
2007
Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction. Zbl 1144.78002
Jin, Shi; Yin, Dongsheng
2008
A Gaussian beam method for high frequency solution of symmetric hyperbolic systems with polarized waves. Zbl 1317.74047
Jefferis, Leland; Jin, Shi
2015
Convergence of the random batch method for interacting particles with disparate species and weights. Zbl 1466.65011
Jin, Shi; Li, Lei; Liu, Jian-Guo
2021
Convergence and error estimates for time-discrete consensus-based optimization algorithms. Zbl 1467.65064
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
2021
Uniform error estimates for the random batch method to the first-order consensus models with antisymmetric interaction kernels. Zbl 1467.82056
Ko, Dongnam; Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
2021
A consensus-based global optimization method for high dimensional machine learning problems. Zbl 07369296
Carrillo, José A.; Jin, Shi; Li, Lei; Zhu, Yuhua
2021
A random batch Ewald method for particle systems with Coulomb interactions. Zbl 07379627
Jin, Shi; Li, Lei; Xu, Zhenli; Zhao, Yue
2021
Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065
Jin, Shi; Li, Lei; Liu, Jian-Guo
2020
Local sensitivity analysis for the Kuramoto-Daido model with random inputs in a large coupling regime. Zbl 1443.34032
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook
2020
A local sensitivity analysis for the hydrodynamic Cucker-Smale model with random inputs. Zbl 1428.35594
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook; Shim, Woojoo
2020
Sharp decay estimates in local sensitivity analysis for evolution equations with uncertainties: from ODEs to linear kinetic equations. Zbl 1428.35036
Arnold, Anton; Jin, Shi; Wöhrer, Tobias
2020
Convergence of a first-order consensus-based global optimization algorithm. Zbl 1467.90040
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
2020
Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions. Zbl 1433.34064
Fang, Di; Ha, Seung-Yeal; Jin, Shi
2019
A local sensitivity analysis for the kinetic Kuramoto equation with random inputs. Zbl 1428.35593
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook
2019
Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095
Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît
2019
A study of Landau damping with random initial inputs. Zbl 1416.35305
Shu, Ruiwen; Jin, Shi
2019
Spectral convergence of the stochastic Galerkin approximation to the Boltzmann equation with multiple scales and large random perturbation in the collision kernel. Zbl 1420.65104
Daus, Esther S.; Jin, Shi; Liu, Liu
2019
A study of hyperbolicity of kinetic stochastic Galerkin system for the isentropic Euler equations with uncertainty. Zbl 1428.35212
Jin, Shi; Shu, Ruiwen
2019
Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs. Zbl 1403.35197
Liu, Liu; Jin, Shi
2018
Hypocoercivity and uniform regularity for the Vlasov-Poisson-Fokker-Planck system with uncertainty and multiple scales. Zbl 1390.35295
Jin, Shi; Zhu, Yuhua
2018
Local sensitivity analysis for the Cucker-Smale model with random inputs. Zbl 1457.92198
Ha, Seung-Yeal; Jin, Shi
2018
A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs. Zbl 1395.35178
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook
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 1414.35174
Shu, Ruiwen; Jin, Shi
2018
Efficient stochastic asymptotic-preserving implicit-explicit methods for transport equations with diffusive scalings and random inputs. Zbl 1391.35307
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo
2018
Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. Zbl 1415.76769
Jin, Shi; Tran, Minh-Binh
2018
An efficient time-splitting method for the Ehrenfest dynamics. Zbl 1426.35194
Fang, Di; Jin, Shi; Sparber, Christof
2018
The discrete stochastic Galerkin method for hyperbolic equations with non-smooth and random coefficients. Zbl 1398.65210
Jin, Shi; Ma, Zheng
2018
Mathematical analysis and numerical methods for multiscale kinetic equations with uncertainties. Zbl 1453.82071
Jin, Shi
2018
Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws. Zbl 1384.65052
Coquel, Frédéric; Jin, Shi; Liu, Jian-Guo; Wang, Li
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 1375.65004
Jin, Shi; Liu, Jian-Guo; Ma, Zheng
2017
An asymptotic-preserving stochastic Galerkin method for the semiconductor Boltzmann equation with random inputs and diffusive scalings. Zbl 1367.35100
Jin, Shi; Liu, Liu
2017
Asymptotic-preserving schemes for multiscale hyperbolic and kinetic equations. Zbl 1366.82029
Hu, J.; Jin, Shi; Li, Q.
2017
Uncertainty quantification for kinetic equations. Zbl 1459.65208
Hu, Jingwei; Jin, Shi
2017
A stochastic Galerkin method for the Boltzmann equation with multi-dimensional random inputs using sparse wavelet bases. Zbl 1399.65265
Shu, Ruiwen; Hu, Jingwei; Jin, Shi
2017
An asymptotic-preserving stochastic Galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings. Zbl 1380.65271
Jin, Shi; Lu, Hanqing
2017
A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty. Zbl 1375.76195
Jin, Shi; Shu, Ruiwen
2017
Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003
Jin, Shi; Pareschi, Lorenzo
2017
Nonlinear geometric optics method-based multi-scale numerical schemes for a class of highly oscillatory transport equations. Zbl 1372.35256
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed
2017
On the classical limit of a time-dependent self-consistent field system: analysis and computation. Zbl 1352.35142
Jin, Shi; Sparber, Christof; Zhou, Zhennan
2017
A stochastic Galerkin method for the Boltzmann equation with uncertainty. Zbl 1349.82088
Hu, Jingwei; Jin, Shi
2016
A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs. Zbl 1342.65010
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
2016
An asymptotic preserving Monte Carlo method for the multispecies Boltzmann equation. Zbl 1349.82133
Zhang, Bin; Liu, Hong; Jin, Shi
2016
An asymptotic preserving two-dimensional staggered grid method for multiscale transport equations. Zbl 1339.82008
Küpper, Kerstin; Frank, Martin; Jin, Shi
2016
Bayes-optimal joint channel-and-data estimation for massive MIMO with low-precision ADCs. Zbl 1414.94670
Wen, Chao-Kai; Wang, Chang-Jen; Jin, Shi; Wong, Kai-Kit; Ting, Pangan
2016
Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings. Zbl 1352.65407
Jin, Shi; Xiu, Dongbin; Zhu, Xueyu
2015
A stochastic Galerkin method for Hamilton-Jacobi equations with uncertainty. Zbl 1330.65179
Hu, Jingwei; Jin, Shi; Xiu, Dongbin
2015
A Gaussian beam method for high frequency solution of symmetric hyperbolic systems with polarized waves. Zbl 1317.74047
Jefferis, Leland; Jin, Shi
2015
An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: a splitting approach. Zbl 1317.65171
Hu, Jingwei; Jin, Shi; Wang, Li
2015
Computing high frequency solutions of symmetric hyperbolic systems with polarized waves. Zbl 1314.74029
Jefferis, Leland; Jin, Shi
2015
An asymptotic-preserving Monte Carlo method for the Boltzmann equation. Zbl 1349.82110
Ren, Wei; Liu, Hong; Jin, Shi
2014
Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate. Zbl 1304.35534
Coquel, Frédéric; Jin, Shi; Liu, Jian-Guo; Wang, Li
2014
Gaussian beam methods for the Schrödinger equation with discontinuous potentials. Zbl 1293.81019
Jin, Shi; Wei, Dongming; Yin, Dongsheng
2014
Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046
Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai
2013
A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials. Zbl 1305.35122
Jin, Shi; Zhou, Zhennan
2013
A BGK-penalization-based asymptotic-preserving scheme for the multispecies Boltzmann equation. Zbl 1268.82030
Jin, Shi; Li, Qin
2013
A successive penalty-based asymptotic-preserving scheme for kinetic equations. Zbl 1269.82025
Yan, Bokai; Jin, Shi
2013
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations. Zbl 1263.65094
Jin, Shi; Liu, Jian-Guo; Wang, Li
2013
Semi-classical models for the Schrödinger equation with periodic potentials and band crossings. Zbl 1268.81058
Chai, Lihui; Jin, Shi; Li, Qin
2013
Asymptotic-preserving numerical schemes for the semiconductor Boltzmann equation efficient in the high field regime. Zbl 1277.82047
Jin, Shi; Wang, Li
2013
$$l^1$$-error estimates on the immersed interface upwind scheme for linear convection equations with piecewise constant coefficients: a simple proof. Zbl 1305.65202
Jin, Shi; Qi, Peng
2013
The Gaussian beam method for the Wigner equation with discontinuous potentials. Zbl 1273.65155
Yin, Dongsheng; Tang, Min; Jin, Shi
2013
Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review. Zbl 1259.82079
Jin, Shi
2012
An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284
Haack, Jeffrey; Jin, Shi; Liu, Jian-guo
2012
A numerical scheme for the quantum Boltzmann equation with stiff collision terms. Zbl 1277.82046
Filbet, Francis; Hu, Jingwei; Jin, Shi
2012
Gaussian beam methods for the Dirac equation in the semi-classical regime. Zbl 1281.65133
Huang, Zhongyi; Jin, Shi; Wu, Hao; Yin, Dongsheng
2012
Simulation of fluid-particles flows: heavy particles, flowing regime, and asymptotic-preserving schemes. Zbl 1278.35191
Goudon, Thierry; Jin, Shi; Yan, Bokai
2012
A numerical scheme for the quantum Fokker-Planck-Landau equation efficient in the fluid regime. Zbl 1373.82078
Hu, Jingwei; Jin, Shi; Yan, Bokai
2012
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
2011
An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation. Zbl 1433.82022
Filbet, Francis; Jin, Shi
2011
A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation. Zbl 1408.76594
Jin, Shi; Yan, Bokai
2011
Semi-eulerian and high order Gaussian beam methods for the Schrödinger equation in the semiclassical regime. Zbl 1364.81128
Jin, Shi; Wu, Hao; Yang, Xu
2011
On kinetic flux vector splitting schemes for quantum Euler equations. Zbl 1220.35128
Hu, Jingwei; Jin, Shi
2011
An Eulerian surface hopping method for the Schrödinger equation with conical crossings. Zbl 1219.35202
Jin, Shi; Qi, Peng; Zhang, Zhiwen
2011
A hybrid Schrödinger/Gaussian beam solver for quantum barriers and surface hopping. Zbl 1301.81057
Jin, Shi; Qi, Peng
2011
Computational high frequency wave diffraction by a corner via the Liouville equation and geometric theory of diffraction. Zbl 1217.78033
Jin, Shi; Yin, Dongsheng
2011
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. Zbl 1202.82066
Filbet, Francis; Jin, Shi
2010
Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials. Zbl 1346.81044
Jin, Shi; Wu, Hao; Yang, Xu; Huang, Zhongyi
2010
A micro-macro decomposition-based asymptotic-preserving scheme for the multispecies Boltzmann equation. Zbl 1323.76099
Jin, Shi; Shi, Yingzhe
2010
A numerical study of the Gaussian beam methods for Schrödinger-Poisson equations. Zbl 1224.81005
Jin, Shi; Wu, Hao; Yang, Xu
2010
A coherent semiclassical transport model for pure-state quantum scattering. Zbl 1191.82043
Jin, Shi; Novak, Kyle A.
2010
A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials. Zbl 1201.65173
Wei, Dongming; Jin, Shi; Tsai, Richard; Yang, Xu
2010
Ergodic capacity analysis of amplify-and-forward MIMO dual-hop systems. Zbl 1366.94240
Jin, Shi; McKay, Matthew R.; Zhong, Caijun; Wong, Kai-Kit
2010
Decomposition-based method for high frequency waves in periodic media. Zbl 1227.35022
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
2010
Outage analysis for optimal beamforming MIMO systems in multikeyhole channels. Zbl 1392.94899
Zhong, Caijun; Jin, Shi; Wong, Kai-Kit; McKay, Matthew R.
2010
Direct numerical simulation of free falling sphere in creeping flow. Zbl 1267.76087
Reddy, Rupesh K.; Jin, Shi; Nandakumar, K.; Minev, Peter D.; Joshi, Jyeshtharaj B.
2010
A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface. Zbl 1191.65181
Jin, Shi; Tang, Min; Han, Houde
2009
The $$l^1$$-stability of a Hamiltonian-preserving scheme for the Liouville equation with discontinuous potentials. Zbl 1199.65307
Wen, Xin; Jin, Shi
2009
A scalable parallel algorithm for the direct numerical simulation of three-dimensional incompressible particulate flow. Zbl 1184.76694
Jin, Shi; Minev, Peter; Nandakumar, Krishnaswamy
2009
On the Bloch decomposition based spectral method for wave propagation in periodic media. Zbl 1231.78019
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
2009
Numerical methods for hyperbolic systems with singular coefficients: well-balanced scheme, Hamiltonian preservation, and beyond. Zbl 1186.65115
Jin, Shi
2009
Capacity bounds for MIMO Nakagami-$$m$$ fading channels. Zbl 1391.94711
Zhong, Caijun; Wong, Kai-Kit; Jin, Shi
2009
Gaussian beam methods for the Schrödinger equation in the semi-classical regime: Lagrangian and Eulerian formulations. Zbl 1161.81369
Jin, Shi; Wu, Hao; Yang, Xu
2008
On the time splitting spectral method for the complex Ginzburg-Landau equation in the large time and space scale limit. Zbl 1176.35170
Degond, Pierre; Jin, Shi; Tang, Min
2008
Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: $$L^1$$-error estimates. Zbl 1174.65031
Wen, Xin; Jin, Shi
2008
Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
2008
Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction. Zbl 1144.78002
Jin, Shi; Yin, Dongsheng
2008
A hybrid phase-flow method for Hamiltonian systems with discontinuous Hamiltonians. Zbl 1190.65187
Jin, Shi; Wu, Hao; Huang, Zhongyi
2008
Computation of the semiclassical limit of the Schrödinger equation with phase shift by a level set method. Zbl 1203.65137
Jin, Shi; Yang, Xu
2008
The $${l}^1$$-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials. Zbl 1176.65100
Wen, Xin; Jin, Shi
2008
A domain decomposition method for a two-scale transport equation with energy flux conserved at the interface. Zbl 1146.65086
Jin, Shi; Yang, Xu; Yuan, Guangwei
2008
The Vlasov-Poisson equations as the semiclassical limit of the Schrödinger-Poisson equations: a numerical study. Zbl 1165.35048
Jin, Shi; Liao, Xiaomei; Yang, Xu
2008
Computation of high frequency wave diffraction by a half plane via the Liouville equation and geometric theory of diffraction. Zbl 1364.78038
Jin, Shi; Yin, Dongsheng
2008
...and 70 more Documents
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#### Cited by 1,548 Authors

 85 Jin, Shi 32 Bao, Weizhu 30 Pareschi, Lorenzo 26 Liu, Hailiang 25 Berthon, Christophe 22 Crouseilles, Nicolas 21 Dimarco, Giacomo 21 Gosse, Laurent 21 Lemou, Mohammed 19 Chalons, Christophe 19 Xu, Kun 18 Degond, Pierre 17 Shu, Chi-Wang 16 Ha, Seung-Yeal 16 Herty, Michael Matthias 16 Kurganov, Alexander 15 Banda, Mapundi Kondwani 15 Klar, Axel 14 Coquel, Frédéric 13 Hauck, Cory D. 13 Méhats, Florian 12 Deluzet, Fabrice 12 Filbet, Francis 12 Natalini, Roberto 12 Wang, Li 11 Buet, Christophe 11 Chertock, Alina E. 11 Després, Bruno 11 Hu, Jingwei 11 Li, Qin 11 Lu, Jianfeng 11 Markowich, Peter Alexander 11 Mieussens, Luc 11 Puppo, Gabriella 11 Seaïd, Mohammed 11 Wei, Guowei 11 Yang, Xu 11 Yun, Seok-Bae 11 Zhao, Xiaofei 10 Cai, Yongyong 10 Liu, Liu 10 Lorin, Emmanuel 9 Chartier, Philippe 9 Franck, Emmanuel 9 Liu, Jianguo 9 Mai Duc Thanh 9 Negulescu, Claudia 9 Qian, Jianliang 9 Samaey, Giovanni 9 Shu, Ruiwen 9 Struchtrup, Henning 9 Turpault, Rodolphe 9 Zhou, Zhennan 8 Bouchut, François 8 Cai, Zhenning 8 Dehghan Takht Fooladi, Mehdi 8 Fox, Rodney O. 8 Goudon, Thierry 8 Hérard, Jean-Marc 8 Huang, Zhongyi 8 Li, Fengyan 8 Loubère, Raphaël 8 Massot, Marc 8 Rey, Thomas 8 Vignal, Marie-Hélène 8 Wang, Tingchun 8 Zheng, Chunxiong 7 Boscarino, Sebastiano 7 Frank, Martin 7 Iollo, Angelo 7 Junk, Michael 7 Li, Ruo 7 Lukáčová-Medvid’ová, Mária 7 Qiu, Jingmei 7 Schütz, Jochen 7 Sparber, Christof 7 Su, Chunmei 7 Tang, Qinglin 6 Carrillo de la Plata, José Antonio 6 Foucher, Françoise 6 Godlewski, Edwige 6 Jung, Jinwook 6 Karlsen, Kenneth Hvistendahl 6 Laurent, Frédérique 6 Li, Xianggui 6 Noelle, Sebastian 6 Osher, Stanley Joel 6 Pirner, Marlies 6 Risebro, Nils Henrik 6 Seguin, Nicolas 6 Torrilhon, Manuel 6 Wu, Lei 5 Aregba-Driollet, Denise 5 Bandrauk, André D. 5 Berthelin, Florent 5 Cheng, Yingda 5 Duran, Arnaud 5 Fillion-Gourdeau, François 5 Guo, Boling 5 Katsaounis, Theodoros ...and 1,448 more Authors
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#### Cited in 163 Serials

 308 Journal of Computational Physics 91 Journal of Scientific Computing 45 Journal of Differential Equations 44 SIAM Journal on Scientific Computing 41 Mathematics of Computation 39 Multiscale Modeling & Simulation 38 Journal of Computational and Applied Mathematics 34 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 32 Computers and Fluids 32 Applied Mathematics and Computation 30 Applied Numerical Mathematics 25 Computers & Mathematics with Applications 25 SIAM Journal on Numerical Analysis 24 Numerische Mathematik 24 Kinetic and Related Models 18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Numerical Methods for Partial Differential Equations 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Journal of Statistical Physics 13 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 12 Physica D 11 Journal of Fluid Mechanics 10 Journal of Mathematical Analysis and Applications 10 Journal of Hyperbolic Differential Equations 9 Transport Theory and Statistical Physics 8 Computer Physics Communications 8 Physics of Fluids 7 Archive for Rational Mechanics and Analysis 7 BIT 7 Mathematics and Computers in Simulation 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applied Mathematics Letters 7 Communications in Partial Differential Equations 7 SIAM Journal on Mathematical Analysis 7 Networks and Heterogeneous Media 7 SIAM/ASA Journal on Uncertainty Quantification 6 Journal of Mathematical Physics 6 Mathematical Methods in the Applied Sciences 6 Wave Motion 6 Numerical Algorithms 6 International Journal of Computational Fluid Dynamics 6 Nonlinear Analysis. Real World Applications 6 SMAI Journal of Computational Mathematics 5 Applicable Analysis 5 Acta Applicandae Mathematicae 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Applied Mathematical Modelling 5 Research in the Mathematical Sciences 4 Computer Methods in Applied Mechanics and Engineering 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Acta Mathematicae Applicatae Sinica. English Series 4 Mathematical and Computer Modelling 4 International Journal of Computer Mathematics 4 SIAM Journal on Applied Mathematics 4 Continuum Mechanics and Thermodynamics 4 Advances in Computational Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Mathematical Physics 3 Journal of Engineering Mathematics 3 Nonlinearity 3 International Journal for Numerical Methods in Engineering 3 Transactions of the American Mathematical Society 3 Journal of Nonlinear Science 3 Communications in Numerical Methods in Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Vietnam Journal of Mathematics 3 Foundations of Computational Mathematics 3 Acta Numerica 3 Acta Mechanica Sinica 3 Advances in Applied Mathematics and Mechanics 3 Science China. Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Acta Mechanica 2 Communications on Pure and Applied Mathematics 2 International Journal of Control 2 International Journal for Numerical Methods in Fluids 2 Problems of Information Transmission 2 Calcolo 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Ricerche di Matematica 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series B 2 Computational Mechanics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Dynamics and Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied and Computational Harmonic Analysis 2 Discrete Dynamics in Nature and Society 2 European Journal of Mechanics. B. Fluids 2 Matematicheskoe Modelirovanie 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Numerical Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 SIAM Journal on Applied Dynamical Systems 2 Boundary Value Problems 2 Communications in Applied Mathematics and Computational Science 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S ...and 63 more Serials
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#### Cited in 42 Fields

 825 Numerical analysis (65-XX) 773 Partial differential equations (35-XX) 545 Fluid mechanics (76-XX) 251 Statistical mechanics, structure of matter (82-XX) 90 Quantum theory (81-XX) 49 Optics, electromagnetic theory (78-XX) 47 Classical thermodynamics, heat transfer (80-XX) 40 Biology and other natural sciences (92-XX) 36 Mechanics of deformable solids (74-XX) 31 Ordinary differential equations (34-XX) 26 Probability theory and stochastic processes (60-XX) 25 Dynamical systems and ergodic theory (37-XX) 22 Operations research, mathematical programming (90-XX) 21 Geophysics (86-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 16 Integral equations (45-XX) 16 Astronomy and astrophysics (85-XX) 15 Approximations and expansions (41-XX) 12 Mechanics of particles and systems (70-XX) 7 Systems theory; control (93-XX) 5 Functional analysis (46-XX) 5 Information and communication theory, circuits (94-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Relativity and gravitational theory (83-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX)