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Liu, Jianguo

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Author ID: liu.jian-guo Recent zbMATH articles by "Liu, Jianguo"
Published as: Liu, J.; Liu, J. G.; Liu, J.-G.; Liu, Jian-Guo; Liu, Jian-guo; Liu, Jianguo
Homepage: https://services.math.duke.edu/~jliu/
External Links: MGP · ORCID · ResearchGate · dblp
Documents Indexed: 255 Publications since 1984, including 4 Books
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Co-Authors

0 single-authored
18 Degond, Pierre
13 Li, Lei
13 Pego, Robert L.
13 Wang, Cheng
11 E, Weinan
11 Jin, Shi
10 Gao, Yuan
8 Xin, Zhouping
7 Huang, Hui
7 Lu, Jianfeng
7 Wang, Wei-Cheng
6 Frouvelle, Amic
6 Wang, Jinhuan
6 Wang, Li
6 Zhou, Zhennan
5 Chen, Xiuqing
5 Gao, Yu
5 Johnston, Hans
5 Liu, Jie
4 Feng, Yuanyuan
4 Xu, Xiangsheng
3 Chertock, Alina E.
3 Pendleton, Terrance
3 Ringhofer, Christian A.
3 Yang, Rong
2 Bian, Shen
2 Chae, Dongho
2 Chen, Li
2 Cong, Wenting
2 Coquel, Frédéric
2 Duan, Yong
2 Goudon, Thierry
2 Herty, Michael Matthias
2 Huang, Yin-Liang
2 Ji, Hangjie
2 LeFloch, Philippe Gerard
2 Levermore, C. David
2 Li, Bo
2 Li, Qin
2 Lin, Ping
2 Lu, Xiliang
2 Lu, Xinyang
2 Lu, Yulong
2 Ma, Zheng
2 Marzuola, Jeremy L.
2 Mieussens, Luc
2 Motsch, Sébastien
2 Shu, Chi-Wang
2 Tadmor, Eitan
2 Tang, Min
2 Tzavaras, Athanasios E.
2 Witelski, Thomas P.
2 Xu, Wenqing
2 Xu, Xiaoqian
2 Yan, Bokai
2 Zeng, Zhifang
2 Zhang, Yuan
1 Acheritogaray, Marion
1 Ai, Guo-Ping
1 Antman, Stuart S.
1 Baeder, James D.
1 Bao, Weizhu
1 Carrillo de la Plata, José Antonio
1 Chainais-Hillairet, Claire
1 Chen, Gui-Qiang G.
1 Chen, Jingrun
1 Chen, Ke
1 Chern, I-Liang
1 Choi, Hwajeong
1 Du, Jianqiang
1 Duraisamy, Karthikeyan
1 Engel, Maximilian
1 Engquist, Bjorn E.
1 Gao, Tingran
1 Ghil, Michael
1 Ha, Seung-Yeal
1 Haack, Jeffrey R.
1 Hou, Thomas Yizhao
1 Hsia, Chun-Hsiung
1 Jüngel, Ansgar
1 Lafata, Kyle
1 Li, Xiaolong
1 Li, Yingzhou
1 Lin, Hueyer
1 Liu, Anning
1 Liu, Chun
1 Liu, Zibu
1 Lorz, Alexander
1 Margetis, Dionisios
1 Merino-Aceituno, Sara
1 Navoret, Laurent
1 Nie, Bin
1 Niethammer, Barbara
1 Panferov, Vladislav A.
1 Peng, Yuejun
1 Pickl, Peter
1 Pu, Yue
1 Samelson, Roger M.
1 Shu, Ruiwen
1 Slepčev, Dejan
...and 7 more Co-Authors
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Serials

14 Journal of Computational Physics
13 Mathematics of Computation
11 SIAM Journal on Mathematical Analysis
9 Communications in Mathematical Sciences
8 Discrete and Continuous Dynamical Systems. Series B
6 SIAM Journal on Numerical Analysis
6 Methods and Applications of Analysis
5 Quarterly of Applied Mathematics
5 Physica D
5 Journal of Scientific Computing
5 Journal of Nonlinear Science
4 Archive for Rational Mechanics and Analysis
4 Communications on Pure and Applied Mathematics
4 Journal of Statistical Physics
4 Journal of Differential Equations
4 Applied Mathematics Letters
4 Kinetic and Related Models
3 Nonlinearity
3 Acta Applicandae Mathematicae
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Multiscale Modeling & Simulation
3 Communications in Computational Physics
2 Communications in Mathematical Physics
2 International Journal for Numerical Methods in Fluids
2 Numerische Mathematik
2 Chinese Annals of Mathematics. Series B
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 SIAM Journal on Scientific Computing
2 Calculus of Variations and Partial Differential Equations
2 Proceedings of Symposia in Applied Mathematics
2 Research in the Mathematical Sciences
2 Annals of Mathematical Sciences and Applications
1 Applicable Analysis
1 Computers and Fluids
1 Inverse Problems
1 Transport Theory and Statistical Physics
1 Transactions of the American Mathematical Society
1 Applied Numerical Mathematics
1 European Journal of Applied Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Discrete and Continuous Dynamical Systems
1 Matemática Contemporânea
1 Communications in Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Nonlinear Dynamics
1 Chaos
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore
1 Series in Contemporary Applied Mathematics CAM
1 Communications in Applied Mathematics and Computational Science
1 RIMS Kôkyûroku Bessatsu
1 SIAM/ASA Journal on Uncertainty Quantification
1 Séminaire Laurent Schwartz. EDP et Applications
all top 5

Fields

114 Partial differential equations (35-XX)
75 Fluid mechanics (76-XX)
66 Numerical analysis (65-XX)
34 Statistical mechanics, structure of matter (82-XX)
25 Biology and other natural sciences (92-XX)
17 Probability theory and stochastic processes (60-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Mechanics of deformable solids (74-XX)
7 Ordinary differential equations (34-XX)
5 Statistics (62-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 General and overarching topics; collections (00-XX)
4 Functional analysis (46-XX)
3 Integral equations (45-XX)
3 Operator theory (47-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Geophysics (86-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Integral transforms, operational calculus (44-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
2 Systems theory; control (93-XX)
1 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Differential geometry (53-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH

182 Publications have been cited 2,366 times in 1,665 Documents Cited by Year
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003
Ha, Seung-Yeal; Liu, Jian-Guo
171
2009
A coupled chemotaxis-fluid model: global existence. Zbl 1236.92013
Liu, Jian-Guo; Lorz, Alexander
112
2011
Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076
Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
95
2011
Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064
Chae, Dongho; Degond, Pierre; Liu, Jian-Guo
89
2014
Projection method. I: Convergence and numerical boundary layers. Zbl 0842.76052
E, Weinan; Liu, Jian-Guo
73
1995
Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term. Zbl 1127.76343
Johnston, Hans; Liu, Jian-Guo
66
2004
Vorticity boundary condition and related isssues for finite difference schemes. Zbl 0847.76050
E, Weinan; Liu, Jian-Guo
62
1996
Thin film epitaxy with or without slope selection. Zbl 1059.35059
Li, Bo; Liu, Jian-Guo
56
2003
Essentially compact schemes for unsteady viscous incompressible flows. Zbl 0853.76045
E, Weinan; Liu, Jian-Guo
55
1996
A high-order discontinuous Galerkin method for 2D incompressible flows. Zbl 0963.76069
Liu, Jian-Guo; Shu, Chi-Wang
46
2000
Gauge method for viscous incompressible flows. Zbl 1160.76329
E, Weinan; Liu, Jian-Guo
44
2003
An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284
Haack, Jeffrey; Jin, Shi; Liu, Jian-guo
43
2012
Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\). Zbl 1292.35061
Bian, Shen; Liu, Jian-Guo
37
2013
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
36
2013
Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique. Zbl 1230.74240
Jiang, C.; Han, X.; Lu, G. Y.; Liu, J.; Zhang, Z.; Bai, Y. C.
35
2011
Stable and accurate pressure approximation for unsteady incompressible viscous flow. Zbl 1307.76029
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
33
2010
Dynamics in a kinetic model of oriented particles with phase transition. Zbl 1248.35097
Frouvelle, Amic; Liu, Jian-Guo
32
2012
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate. Zbl 1131.35058
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
32
2007
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Zbl 1311.82017
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
30
2015
Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. Zbl 1032.82038
Chainais-Hillairet, Claire; Liu, Jian-Guo; Peng, Yue-Jun
30
2003
A note on Aubin-Lions-Dubinskiĭ lemmas. Zbl 1326.46019
Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo
29
2014
Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. Zbl 1123.35327
Li, Bo; Liu, Jian-Guo
29
2004
Hydrodynamic models of self-organized dynamics: derivation and existence theory. Zbl 1278.35153
Degond, Pierre; Liu, Jian-Guo; Motsch, Sebastien; Panferov, Vladislav
26
2013
Finite difference schemes for incompressible flow based on local pressure boundary conditions. Zbl 1130.76409
Johnston, Hans; Liu, Jian-Guo
26
2002
The effects of numerical viscosities. I: Slowly moving shocks. Zbl 0858.76054
Jin, Shi; Liu, Jian-Guo
26
1996
Convergence of vortex methods for weak solutions to the \(2-D\) Euler equations with vortex sheet data. Zbl 0829.35098
Liu, Jian-Guo; Xin, Zhouping
25
1995
Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit. Zbl 1220.65116
Liu, Jian-Guo; Mieussens, Luc
24
2010
Mach-number uniform asymptotic-preserving gauge schemes for compressible flows. Zbl 1210.76135
Degond, P.; Jin, S.; Liu, J.-G.
23
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 1375.65004
Jin, Shi; Liu, Jian-Guo; Ma, Zheng
21
2017
Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
21
2014
Multidimensional degenerate Keller-Segel system with critical diffusion exponent \(2n/(n+2)\). Zbl 1255.35034
Chen, Li; Liu, Jian-Guo; Wang, Jinhuan
21
2012
Accurate evaluation of electrostatics for macromolecules in solution. Zbl 1099.92500
Chern, I-Liang; Liu, Jian-Guo; Wang, Wei-Cheng
21
2003
Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry. Zbl 1288.76093
Liu, Jian-Guo; Wang, Wei-Cheng
20
2004
Finite difference methods for 3D viscous incompressible flows in the vorticity-vector potential formulation on nonstaggered grids. Zbl 0901.76046
E, Weinan; Liu, Jian-Guo
20
1997
Projection method. II: Godunov-Ryabenki analysis. Zbl 0920.76056
E, Weinan; Liu, Jian-Guo
20
1996
Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction. Zbl 1434.35172
Yin, Yu-Hang; Ma, Wen-Xiu; Liu, Jian-Guo; Lü, Xing
18
2018
Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria. Zbl 1298.91104
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
17
2014
Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
16
2014
Convergence of a particle method and global weak solutions of a family of evolutionary PDEs. Zbl 1239.35120
Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance
16
2012
Characterization and regularity for axisymmetric solenoidal vector fields with application to Navier-Stokes equation. Zbl 1197.35195
Liu, Jian-Guo; Wang, Wei-Cheng
16
2009
Macroscopic fluid models with localized kinetic upscaling effects. Zbl 1147.82331
Degond, Pierre; Liu, Jian-Guo; Mieussens, Luc
16
2006
A fourth-order scheme for incompressible Boussinesq equations. Zbl 1112.76051
Liu, Jian-Guo; Wang, Cheng; Johnston, Hans
16
2003
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. Zbl 1383.65111
Liu, Jian-Guo; Wang, Li; Zhou, Zhennan
15
2018
Convergence of gauge method for incompressible flow. Zbl 0968.76065
Wang, Cheng; Liu, Jian-Guo
15
2000
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. Zbl 0915.35069
LeFloch, Philippe G.; Liu, Jian-Guo
15
1999
Finite difference schemes for incompressible flows in the velocity-impulse density formulation. Zbl 0870.76048
E, Weinan; Liu, Jian-Guo
15
1997
Stable discretization of magnetohydrodynamics in bounded domains. Zbl 1278.76127
Liu, Jian-Guo; Pego, Robert
14
2010
Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows. Zbl 1130.76053
Liu, Jian-Guo; Wang, Wei-Cheng
14
2006
Convergence of the point vortex method for 2-D vortex sheet. Zbl 0977.76069
Liu, Jian-Guo; Xin, Zhouping
14
2001
Nonlinear stability of discrete shocks for systems of conservation laws. Zbl 0807.35087
Liu, Jian-Guo; Xin, Zhouping
14
1993
Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation. Zbl 1022.76039
Wang, Cheng; Liu, Jian-Guo
13
2002
Boundary-layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation. Zbl 0858.76073
Liu, Jian-Guo; Xin, Zhouping
13
1996
A random particle blob method for the Keller-Segel equation and convergence analysis. Zbl 1355.60092
Liu, Jian-Guo; Yang, Rong
12
2017
On generating functions of Hausdorff moment sequences. Zbl 1350.44003
Liu, Jian-Guo; Pego, Robert L.
12
2016
Ultra-contractivity for Keller-Segel model with diffusion exponent \(m>1-2/d\). Zbl 1295.35271
Bian, Shen; Liu, Jian-Guo; Zou, Chen
12
2014
Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation. Zbl 1387.35024
Degond, Pierre; Liu, Jian-Guo
12
2012
Projection method. III: Spatial discretization on the staggered grid. Zbl 1058.76043
E, Weinan; Liu, Jian-Guo
12
2002
A generalized definition of Caputo derivatives and its application to fractional ODEs. Zbl 1401.26013
Li, Lei; Liu, Jian-Guo
11
2018
Cauchy problems for Keller-Segel type time-space fractional diffusion equation. Zbl 1427.35329
Li, Lei; Liu, Jian-Guo; Wang, Lizhen
11
2018
Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260
Degond, Pierre; Liu, Jian-Guo; Pego, Robert L.
11
2017
Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow. Zbl 1054.76025
Ghil, Michael; Liu, Jian-Guo; Wang, Cheng; Wang, Shouhong
11
2004
Mean-field games and model predictive control. Zbl 1383.93029
Degond, Pierre; Herty, Michael; Liu, Jian-Guo
10
2017
Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos. Zbl 1358.65073
Huang, Hui; Liu, Jian-Guo
10
2016
Propagation of chaos for large Brownian particle system with Coulomb interaction. Zbl 1355.82025
Liu, Jian-Guo; Yang, Rong
10
2016
A note on \(L^\infty\)-bound and uniqueness to a degenerate Keller-Segel model. Zbl 1335.35103
Liu, Jian-Guo; Wang, Jinhuan
10
2016
Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit. Zbl 1173.82032
Degond, Pierre; Liu, Jian-Guo; Vignal, Marie-Hélène
10
2008
Simple finite element method in vorticity formulation for incompressible flows. Zbl 0977.76048
Liu, Jian-Guo; E, Weinan
10
2001
The reconstruction of upwind fluxes for conservation laws: Its behavior in dynamic and steady state calculations. Zbl 0935.76048
Choi, Hwajeong; Liu, Jian-Guo
10
1998
Large oscillations arising in a dispersive numerical scheme. Zbl 0887.65098
Levermore, C. D.; Liu, Jian-Guo
10
1996
Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces. Zbl 1365.35174
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng
9
2017
Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime. Zbl 1377.35145
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng
9
2017
Multiple-soliton solutions, soliton-type solutions and rational solutions for the \((3+1)\)-dimensional generalized shallow water equation in oceans, estuaries and impoundments. Zbl 1349.35058
Zeng, Zhi-Fang; Liu, Jian-Guo; Nie, Bin
9
2016
Existence theorems for a multidimensional crystal surface model. Zbl 1355.35091
Liu, Jian-Guo; Xu, Xiangsheng
9
2016
A new nonlinear interval programming method for uncertain problems with dependent interval variables. Zbl 1338.90487
Jiang, C.; Zhang, Z. G.; Zhang, Q. F.; Han, X.; Xie, H. C.; Liu, J.
9
2014
An energy-preserving MAC-Yee scheme for the incompressible MHD equation. Zbl 0999.76096
Liu, Jian-Guo; Wang, Wei-Cheng
9
2001
\(L^ 1\)-stability of stationary discrete shocks. Zbl 0795.65059
Liu, Jian-Guo; Xin, Zhouping
9
1993
Some compactness criteria for weak solutions of time fractional PDEs. Zbl 1403.35318
Li, Lei; Liu, Jian-Guo
8
2018
A degenerate \(p\)-Laplacian Keller-Segel model. Zbl 1364.35162
Cong, Wenting; Liu, Jian-Guo
8
2016
Multiple soliton solutions, soliton-type solutions and rational solutions for the (3+1)-dimensional potential-YTSF equation. Zbl 1339.35264
Liu, Jianguo; Zeng, Zhifang
8
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
8
2013
Blow-up, zero \(\alpha\) limit and the Liouville type theorem for the Euler-poincaré equations. Zbl 1251.35075
Chae, Dongho; Liu, Jian-Guo
8
2012
Analysis of a sequential regularization method for the unsteady Navier-Stokes equations. Zbl 1285.76018
Lu, Xiliang; Lin, Ping; Liu, Jian-Guo
8
2008
Analysis of a fourth-order finite difference method for the incompressible Boussinesq equations. Zbl 1055.76042
Wang, Cheng; Liu, Jian-Guo; Johnston, Hans
8
2004
Lump-type solutions and interaction solutions for the \((2+1)\)-dimensional generalized fifth-order KdV equation. Zbl 1410.35175
Liu, Jian-Guo
7
2018
Error estimate of a random particle blob method for the Keller-Segel equation. Zbl 1368.65207
Huang, Hui; Liu, Jian-Guo
7
2017
Elastic collisions among peakon solutions for the Camassa-Holm equation. Zbl 1326.35309
Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance
7
2015
Concepts and application of time-limiters to high resolution schemes. Zbl 1081.76582
Duraisamy, Karthikeyan; Baeder, James D.; Liu, Jian-Guo
7
2003
Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1422.65361
Liu, J.; Sun, J.; Turner, T.
6
2019
Partial regularity of weak solutions to a PDE system with cubic nonlinearity. Zbl 1383.35042
Liu, Jian-Guo; Xu, Xiangsheng
6
2018
Macroscopic models of collective motion and self-organization. Zbl 1319.35267
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sebastien; Navoret, Laurent
6
2014
Learning interacting particle systems: diffusion parameter estimation for aggregation equations. Zbl 1412.65171
Huang, Hui; Liu, Jian-Guo; Lu, Jianfeng
5
2019
Continuous and discrete one dimensional autonomous fractional ODEs. Zbl 1405.34008
Feng, Yuanyuan; Li, Lei; Liu, Jian-Guo; Xu, Xiaoqian
5
2018
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem. Zbl 1386.82053
Li, Lei; Liu, Jian-Guo; Lu, Jianfeng
5
2017
Analytical validation of a continuum model for the evolution of a crystal surface in multiple space dimensions. Zbl 1371.35142
Liu, Jian-Guo; Xu, Xiangsheng
5
2017
Continuum dynamics of the intention field under weakly cohesive social interaction. Zbl 1362.82033
Degond, Pierre; Liu, Jian-Guo; Merino-Aceituno, Sara; Tardiveau, Thomas
5
2017
Refined hyper-contractivity and uniqueness for the Keller-Segel equations. Zbl 1330.35040
Liu, Jian-Guo; Wang, Jinhuan
5
2016
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
5
2014
A generalized MAC scheme on curvilinear domains. Zbl 1282.35274
Huang, Yin-Liang; Liu, Jian-Guo; Wang, Wei-Cheng
5
2013
A note on the subcritical two dimensional Keller-Segel system. Zbl 1258.35024
Carrillo, Jose A.; Chen, Li; Liu, Jian-Guo; Wang, Jinhuan
5
2012
Two nonlinear compactness theorems in \(L^p(0,T;B)\). Zbl 1278.46035
Chen, Xiuqing; Liu, Jian-Guo
5
2012
Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065
Jin, Shi; Li, Lei; Liu, Jian-Guo
2
2020
Large time behaviors of upwind schemes and \(B\)-schemes for Fokker-Planck equations on \(\mathbb{R}\) by jump processes. Zbl 1442.65214
Li, Lei; Liu, Jian-Guo
2
2020
On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system. Zbl 07327986
Huang, Hui; Liu, Jian-Guo; Pickl, Peter
1
2020
A stochastic version of Stein variational gradient descent for efficient sampling. Zbl 1444.62043
Li, Lei; Li, Yingzhou; Liu, Jian-Guo; Liu, Zibu; Lu, Jianfeng
1
2020
Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1422.65361
Liu, J.; Sun, J.; Turner, T.
6
2019
Learning interacting particle systems: diffusion parameter estimation for aggregation equations. Zbl 1412.65171
Huang, Hui; Liu, Jian-Guo; Lu, Jianfeng
5
2019
On the mean field limit for Brownian particles with Coulomb interaction in 3D. Zbl 1431.82019
Li, Lei; Liu, Jian-Guo; Yu, Pu
4
2019
On the diffusion approximation of nonconvex stochastic gradient descent. Zbl 1421.90121
Hu, Wenqing; Li, Chris Junchi; Li, Lei; Liu, Jian-Guo
3
2019
Gradient flow approach to an exponential thin film equation: global existence and latent singularity. Zbl 1442.35185
Gao, Yuan; Liu, Jian-Guo; Lu, Xin Yang
2
2019
Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics. Zbl 1437.35583
Liu, Jian-Guo; Ye, Qing
1
2019
Propagation of chaos for the Keller-Segel equation with a logarithmic cut-off. Zbl 1442.35199
Liu, Jian-Guo; Yang, Rong
1
2019
Long-time dynamics for a simple aggregation equation on the sphere. Zbl 1442.82031
Frouvelle, Amic; Liu, Jian-Guo
1
2019
Least action principles for incompressible flows and geodesics between shapes. Zbl 1428.35376
Liu, Jian-Guo; Pego, Robert L.; Slepčev, Dejan
1
2019
Analysis and computation of some tumor growth models with nutrient: from cell density models to free boundary dynamics. Zbl 1418.35225
Liu, Jian-Guo; Tang, Min; Wang, Li; Zhou, Zhennan
1
2019
Global stability for solutions to the exponential PDE describing epitaxial growth. Zbl 1418.35215
Liu, Jian-Guo; Strain, Robert M.
1
2019
Collisions between lump and soliton solutions. Zbl 1412.35054
Liu, Jian-Guo
1
2019
Multi-scale modelling of granular materials: numerical framework and study on micro-structural features. Zbl 07037447
Liu, J.; Bosco, E.; Suiker, A. S. J.
1
2019
The solitary wave, rogue wave and periodic solutions for the \((3+1)\)-dimensional soliton equation. Zbl 1406.35088
Liu, Jian-Guo; You, Meng-Xiang; Zhou, Li; Ai, Guo-Ping
1
2019
Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction. Zbl 1434.35172
Yin, Yu-Hang; Ma, Wen-Xiu; Liu, Jian-Guo; Lü, Xing
18
2018
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. Zbl 1383.65111
Liu, Jian-Guo; Wang, Li; Zhou, Zhennan
15
2018
A generalized definition of Caputo derivatives and its application to fractional ODEs. Zbl 1401.26013
Li, Lei; Liu, Jian-Guo
11
2018
Cauchy problems for Keller-Segel type time-space fractional diffusion equation. Zbl 1427.35329
Li, Lei; Liu, Jian-Guo; Wang, Lizhen
11
2018
Some compactness criteria for weak solutions of time fractional PDEs. Zbl 1403.35318
Li, Lei; Liu, Jian-Guo
8
2018
Lump-type solutions and interaction solutions for the \((2+1)\)-dimensional generalized fifth-order KdV equation. Zbl 1410.35175
Liu, Jian-Guo
7
2018
Partial regularity of weak solutions to a PDE system with cubic nonlinearity. Zbl 1383.35042
Liu, Jian-Guo; Xu, Xiangsheng
6
2018
Continuous and discrete one dimensional autonomous fractional ODEs. Zbl 1405.34008
Feng, Yuanyuan; Li, Lei; Liu, Jian-Guo; Xu, Xiaoqian
5
2018
Online learning in optical tomography: a stochastic approach. Zbl 06899031
Chen, Ke; Li, Qin; Liu, Jian-Guo
4
2018
Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface. Zbl 1401.35204
Gao, Yuan; Liu, Jian-Guo; Lu, Xin Yang; Xu, Xiangsheng
4
2018
A note on deconvolution with completely monotone sequences and discrete fractional calculus. Zbl 06813419
Li, Lei; Liu, Jian-Guo
4
2018
Interaction behaviors for the \((2+1)\)-dimensional Sawada-Kotera equation. Zbl 1398.37064
Liu, Jian-Guo
3
2018
An accurate front capturing scheme for tumor growth models with a free boundary limit. Zbl 1395.65050
Liu, Jian-Guo; Tang, Min; Wang, Li; Zhou, Zhennan
3
2018
A note on one-dimensional time fractional odes. Zbl 06892563
Feng, Yuanyuan; Li, Lei; Liu, Jian-Guo; Xu, Xiaoqian
3
2018
Semigroups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations. Zbl 1417.60065
Feng, Yuanyuan; Li, Lei; Liu, Jian-Guo
2
2018
Existence of infinitely many solutions for fourth-order impulsive differential equations. Zbl 1393.34039
Yue, Yue; Tian, Yu; Zhang, Min; Liu, Jianguo
2
2018
New multiple periodic-soliton solutions for the (3+1)-dimensional potential-YTSF equation. Zbl 1438.35094
Wei, Huan; Yang, Lianwu; Liu, Jianguo
1
2018
Locally \(E\)-solid epigroups. Zbl 1452.20056
Liu, J. G.
1
2018
Analogues of some determinantal inequalities for sector matrices. Zbl 1407.15022
Liu, J.; Sheng, X.
1
2018
A vicinal surface model for epitaxial growth with logarithmic free energy. Zbl 1403.35123
Gao, Yuan; Ji, Hangjie; Liu, Jian-Guo; Witelski, Thomas P.
1
2018
The modified Camassa-Holm equation in Lagrangian coordinates. Zbl 1404.35105
Gao, Yu; Liu, Jian-Guo
1
2018
New double-periodic soliton solutions for the \((2+1)\)-dimensional breaking soliton equation. Zbl 1402.35234
Liu, Jian-Guo; Tian, Yu
1
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
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 1375.65004
Jin, Shi; Liu, Jian-Guo; Ma, Zheng
21
2017
A random particle blob method for the Keller-Segel equation and convergence analysis. Zbl 1355.60092
Liu, Jian-Guo; Yang, Rong
12
2017
Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260
Degond, Pierre; Liu, Jian-Guo; Pego, Robert L.
11
2017
Mean-field games and model predictive control. Zbl 1383.93029
Degond, Pierre; Herty, Michael; Liu, Jian-Guo
10
2017
Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces. Zbl 1365.35174
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng
9
2017
Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime. Zbl 1377.35145
Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng
9
2017
Error estimate of a random particle blob method for the Keller-Segel equation. Zbl 1368.65207
Huang, Hui; Liu, Jian-Guo
7
2017
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem. Zbl 1386.82053
Li, Lei; Liu, Jian-Guo; Lu, Jianfeng
5
2017
Analytical validation of a continuum model for the evolution of a crystal surface in multiple space dimensions. Zbl 1371.35142
Liu, Jian-Guo; Xu, Xiangsheng
5
2017
Continuum dynamics of the intention field under weakly cohesive social interaction. Zbl 1362.82033
Degond, Pierre; Liu, Jian-Guo; Merino-Aceituno, Sara; Tardiveau, Thomas
5
2017
Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis. Zbl 1390.35136
Huang, Hui; Liu, Jian-Guo
4
2017
Explicit and implicit TVD schemes for conservation laws with Caputo derivatives. Zbl 1371.65083
Liu, Jian-Guo; Ma, Zheng; Zhou, Zhennan
4
2017
Global convergence of a sticky particle method for the modified Camassa-Holm equation. Zbl 06724202
Gao, Yu; Liu, Jian-Guo
3
2017
Uniform \(L^{\infty}\) boundedness for a degenerate parabolic-parabolic Keller-Segel model. Zbl 1360.35106
Cong, Wenting; Liu, Jian-Guo
3
2017
A class of exact solutions of \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation. Zbl 1401.35272
Liu, Shuang; Ding, Yao; Liu, Jian-Guo
2
2017
Global existence for a thin film equation with subcritical mass. Zbl 1360.35183
Liu, Jian-Guo; Wang, Jinhuan
1
2017
A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation. Zbl 1357.35176
Liu, Jian-Guo; Wang, Jinhuan
1
2017
On generating functions of Hausdorff moment sequences. Zbl 1350.44003
Liu, Jian-Guo; Pego, Robert L.
12
2016
Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos. Zbl 1358.65073
Huang, Hui; Liu, Jian-Guo
10
2016
Propagation of chaos for large Brownian particle system with Coulomb interaction. Zbl 1355.82025
Liu, Jian-Guo; Yang, Rong
10
2016
A note on \(L^\infty\)-bound and uniqueness to a degenerate Keller-Segel model. Zbl 1335.35103
Liu, Jian-Guo; Wang, Jinhuan
10
2016
Multiple-soliton solutions, soliton-type solutions and rational solutions for the \((3+1)\)-dimensional generalized shallow water equation in oceans, estuaries and impoundments. Zbl 1349.35058
Zeng, Zhi-Fang; Liu, Jian-Guo; Nie, Bin
9
2016
Existence theorems for a multidimensional crystal surface model. Zbl 1355.35091
Liu, Jian-Guo; Xu, Xiangsheng
9
2016
A degenerate \(p\)-Laplacian Keller-Segel model. Zbl 1364.35162
Cong, Wenting; Liu, Jian-Guo
8
2016
Refined hyper-contractivity and uniqueness for the Keller-Segel equations. Zbl 1330.35040
Liu, Jian-Guo; Wang, Jinhuan
5
2016
On a Schrödinger-Landau-Lifshitz system: variational structure and numerical methods. Zbl 1352.65388
Chen, Jingrun; Liu, Jian-Guo; Zhou, Zhennan
4
2016
Exact periodic cross-kink wave solutions for the new \((2+1)\)-dimensional KdV equation in fluid flows and plasma physics. Zbl 1378.35270
Liu, Jian-Guo; Du, Jian-Qiang; Zeng, Zhi-Fang; Ai, Guo-Ping
3
2016
A stochastic scaled boundary finite element method. Zbl 1439.74445
Long, X. Y.; Jiang, C.; Yang, C.; Han, X.; Gao, W.; Liu, J.
1
2016
Error estimate of the particle method for the \(b\)-equation. Zbl 1346.35032
Duan, Yong; Liu, Jian-Guo
1
2016
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Zbl 1311.82017
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
30
2015
Elastic collisions among peakon solutions for the Camassa-Holm equation. Zbl 1326.35309
Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance
7
2015
Simple finite element numerical simulation of incompressible flow over non-rectangular domains and the super-convergence analysis. Zbl 1330.76081
Xue, Yunhua; Wang, Cheng; Liu, Jian-Guo
2
2015
A class of exact solution of \((3+1)\)-dimensional generalized shallow water equation system. Zbl 1401.76106
Liu, Jian-Guo; Zeng, Zhi-Fang; He, Yan; Ai, Guo-Ping
1
2015
Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064
Chae, Dongho; Degond, Pierre; Liu, Jian-Guo
89
2014
A note on Aubin-Lions-Dubinskiĭ lemmas. Zbl 1326.46019
Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo
29
2014
Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
21
2014
Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria. Zbl 1298.91104
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
17
2014
Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
16
2014
Ultra-contractivity for Keller-Segel model with diffusion exponent \(m>1-2/d\). Zbl 1295.35271
Bian, Shen; Liu, Jian-Guo; Zou, Chen
12
2014
A new nonlinear interval programming method for uncertain problems with dependent interval variables. Zbl 1338.90487
Jiang, C.; Zhang, Z. G.; Zhang, Q. F.; Han, X.; Xie, H. C.; Liu, J.
9
2014
Multiple soliton solutions, soliton-type solutions and rational solutions for the (3+1)-dimensional potential-YTSF equation. Zbl 1339.35264
Liu, Jianguo; Zeng, Zhifang
8
2014
Macroscopic models of collective motion and self-organization. Zbl 1319.35267
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sebastien; Navoret, Laurent
6
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
5
2014
Uncertain buckling and reliability analysis of the piezoelectric functionally graded cylindrical shells based on the nonprobabilistic convex model. Zbl 1359.74083
Bi, R. G.; Han, X.; Jiang, C.; Bai, Y. C.; Liu, J.
3
2014
Convergence analysis of the vortex blob method for the \(b\)-equation. Zbl 1277.35021
Duan, Yong; Liu, Jian-Guo
3
2014
Flow on sweeping networks. Zbl 1316.35222
Degond, Pierre; Herty, Michael; Liu, Jian-Guo
2
2014
A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations. Zbl 1299.76177
Johnston, Hans; Wang, Cheng; Liu, Jian-Guo
1
2014
Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\). Zbl 1292.35061
Bian, Shen; Liu, Jian-Guo
37
2013
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
36
2013
Hydrodynamic models of self-organized dynamics: derivation and existence theory. Zbl 1278.35153
Degond, Pierre; Liu, Jian-Guo; Motsch, Sebastien; Panferov, Vladislav
26
2013
Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046
Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai
8
2013
A generalized MAC scheme on curvilinear domains. Zbl 1282.35274
Huang, Yin-Liang; Liu, Jian-Guo; Wang, Wei-Cheng
5
2013
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations. Zbl 1263.65094
Jin, Shi; Liu, Jian-Guo; Wang, Li
4
2013
Analysis of polymeric flow models and related compactness theorems in weighted spaces. Zbl 1291.35172
Chen, Xiuqing; Liu, Jian-Guo
2
2013
Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions. Zbl 1260.35231
Chen, Xiuqing; Liu, Jian-Guo
2
2013
An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284
Haack, Jeffrey; Jin, Shi; Liu, Jian-guo
43
2012
Dynamics in a kinetic model of oriented particles with phase transition. Zbl 1248.35097
Frouvelle, Amic; Liu, Jian-Guo
32
2012
Multidimensional degenerate Keller-Segel system with critical diffusion exponent \(2n/(n+2)\). Zbl 1255.35034
Chen, Li; Liu, Jian-Guo; Wang, Jinhuan
21
2012
Convergence of a particle method and global weak solutions of a family of evolutionary PDEs. Zbl 1239.35120
Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance
16
2012
...and 82 more Documents
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Cited by 2,364 Authors

90 Liu, Jianguo
66 Ha, Seung-Yeal
46 Degond, Pierre
32 Carrillo de la Plata, José Antonio
29 Jin, Shi
22 Wang, Cheng
19 Shen, Jie
18 Choi, Young-Pil
18 Zhou, Yong
15 Fan, Jishan
15 Kim, Jeongho
15 Rebholz, Leo G.
15 Xiang, Zhaoyin
15 Zhang, Xiongtao
14 Winkler, Michael
13 Chen, Wenbin
13 Yang, Xiaofeng
12 Pareschi, Lorenzo
12 Qiao, Zhonghua
11 Bellomo, Nicola
11 Dimarco, Giacomo
11 He, Yinnian
11 Tadmor, Eitan
10 Chae, Dongho
10 Feng, Xinlong
10 Kang, Moon-Jin
10 Xin, Zhouping
9 Jüngel, Ansgar
9 Li, Lei
9 Li, Zhuchun
9 Liu, Jian Guo
9 Park, Jinyeong
9 Pego, Robert L.
9 Peszek, Jan
8 Albi, Giacomo
8 Chainais-Hillairet, Claire
8 Guermond, Jean-Luc
8 Hou, Thomas Yizhao
8 Kim, Doheon
8 Li, Zhilin
8 Qiu, Jingmei
8 Shu, Ruiwen
8 Wang, Jinhuan
8 Wang, Li
8 Wang, Yulan
8 Zheng, Jiashan
7 Bae, Hyeong-Ohk
7 Bian, Shen
7 Gao, Yuan
7 Kim, Dohyun
7 Ko, Dongnam
7 Lai, Mingchih
7 Layton, William J.
7 Liu, Liu
7 Lü, Xing
7 Motsch, Sébastien
7 Si, Zhiyong
7 Tan, Changhui
7 Tian, Zhenfu
7 Vignal, Marie-Hélène
7 Wise, Steven M.
7 Xu, Xiangsheng
7 Yu, Peixiang
7 Zhang, Qian
7 Zhao, Xiaopeng
7 Zhu, Mingxuan
6 Bassi, Francesco
6 Ben-Artzi, Matania
6 Cancès, Clément
6 Chen, Li
6 Crivellini, Andrea
6 Deluzet, Fabrice
6 Dong, Jiu-Gang
6 Filbet, Francis
6 Frouvelle, Amic
6 Goudon, Thierry
6 Hayat, Tasawar
6 Huang, Hui
6 Jin, Chunhua
6 Jiu, Quansen
6 Liu, Hailiang
6 Lopes Filho, Milton da Costa
6 Mucha, Piotr Bogusław
6 Nakamura, Gen
6 Nussenzveig Lopes, Helena Judith
6 Schütz, Jochen
6 Shu, Chi-Wang
6 Tang, Tao
6 Wang, Xiaoming
6 Yamazaki, Kazuo
6 Yu, Hui
6 Zanella, Mattia
5 Bendahmane, Mostafa
5 Chalons, Christophe
5 Chertock, Alina E.
5 Fishelov, Dalia
5 Gao, Yu
5 Jin, Chunyin
5 Johnston, Hans
5 Ju, Lili
...and 2,264 more Authors
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Cited in 243 Serials

195 Journal of Computational Physics
84 Journal of Differential Equations
68 Journal of Scientific Computing
68 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
40 Mathematics of Computation
39 Computers and Fluids
37 Computer Methods in Applied Mechanics and Engineering
36 Computers & Mathematics with Applications
34 Journal of Mathematical Analysis and Applications
30 Applied Mathematics and Computation
29 Journal of Computational and Applied Mathematics
29 SIAM Journal on Mathematical Analysis
28 ZAMP. Zeitschrift für angewandte Mathematik und Physik
27 Discrete and Continuous Dynamical Systems. Series B
26 Journal of Statistical Physics
26 Physica D
25 Archive for Rational Mechanics and Analysis
25 Nonlinear Analysis. Real World Applications
24 Applied Mathematics Letters
24 Applied Mathematical Modelling
23 SIAM Journal on Numerical Analysis
22 Discrete and Continuous Dynamical Systems
21 Applied Numerical Mathematics
20 Journal of Mathematical Physics
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Numerische Mathematik
20 SIAM Journal on Scientific Computing
20 Kinetic and Related Models
17 Multiscale Modeling & Simulation
15 International Journal for Numerical Methods in Fluids
15 Communications in Nonlinear Science and Numerical Simulation
14 Communications on Pure and Applied Analysis
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Nonlinearity
13 Numerical Methods for Partial Differential Equations
12 Communications in Mathematical Physics
12 Journal of Fluid Mechanics
12 Journal of Nonlinear Science
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Networks and Heterogeneous Media
10 Calculus of Variations and Partial Differential Equations
10 Nonlinear Dynamics
9 Quarterly of Applied Mathematics
9 Physics of Fluids
8 Acta Applicandae Mathematicae
8 Communications in Partial Differential Equations
8 Journal of Mathematical Fluid Mechanics
7 Applicable Analysis
7 Communications on Pure and Applied Mathematics
7 Journal of Evolution Equations
6 SIAM Journal on Applied Mathematics
6 Complexity
5 Acta Mechanica
5 Journal of Mathematical Biology
5 Mathematical Methods in the Applied Sciences
5 Journal of Functional Analysis
5 Mathematics and Computers in Simulation
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Advances in Computational Mathematics
5 Chaos
5 Boundary Value Problems
5 Analysis and Mathematical Physics
4 Monatshefte für Mathematik
4 Computational and Applied Mathematics
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Computer Physics Communications
3 Inverse Problems
3 Journal of the Franklin Institute
3 Bulletin of Mathematical Biology
3 Applied Mathematics and Optimization
3 International Journal for Numerical Methods in Engineering
3 Proceedings of the American Mathematical Society
3 Chinese Annals of Mathematics. Series B
3 Japan Journal of Industrial and Applied Mathematics
3 Linear Algebra and its Applications
3 SIAM Review
3 Mathematical Problems in Engineering
3 Differential Equations and Dynamical Systems
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 European Journal of Mechanics. B. Fluids
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Acta Mathematica Sinica. English Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Numerical Mathematics
3 International Journal of Computational Methods
3 Communications in Theoretical Physics
3 Advances in Mathematical Physics
3 Molecular Based Mathematical Biology
3 Research in the Mathematical Sciences
3 International Journal of Applied and Computational Mathematics
2 Linear and Multilinear Algebra
2 Physica A
2 Scandinavian Journal of Statistics
2 Theoretical and Computational Fluid Dynamics
2 Advances in Mathematics
2 BIT
2 Calcolo
2 Duke Mathematical Journal
...and 143 more Serials
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Cited in 42 Fields

962 Partial differential equations (35-XX)
757 Fluid mechanics (76-XX)
594 Numerical analysis (65-XX)
348 Biology and other natural sciences (92-XX)
190 Statistical mechanics, structure of matter (82-XX)
93 Mechanics of deformable solids (74-XX)
72 Probability theory and stochastic processes (60-XX)
70 Ordinary differential equations (34-XX)
68 Dynamical systems and ergodic theory (37-XX)
50 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
35 Operations research, mathematical programming (90-XX)
35 Systems theory; control (93-XX)
32 Mechanics of particles and systems (70-XX)
29 Optics, electromagnetic theory (78-XX)
24 Operator theory (47-XX)
21 Statistics (62-XX)
21 Computer science (68-XX)
17 Integral equations (45-XX)
16 Classical thermodynamics, heat transfer (80-XX)
12 Geophysics (86-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Real functions (26-XX)
11 Functional analysis (46-XX)
10 Quantum theory (81-XX)
9 Combinatorics (05-XX)
7 Special functions (33-XX)
7 Difference and functional equations (39-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Astronomy and astrophysics (85-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral transforms, operational calculus (44-XX)
5 Approximations and expansions (41-XX)
4 General and overarching topics; collections (00-XX)
4 Differential geometry (53-XX)
3 Number theory (11-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Information and communication theory, circuits (94-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)

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