×

Communications in Mathematical Sciences

Short Title: Commun. Math. Sci.
Publisher: International Press of Boston, Somerville, MA
ISSN: 1539-6746; 1945-0796/e
Online: https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/index.php
https://projecteuclid.org/journals/communications-in-mathematical-sciences/issues
Comments: Journal
Documents Indexed: 1,473 Publications (since 2003)
all top 5

Latest Issues

22, No. 3 (2024)
22, No. 2 (2024)
22, No. 1 (2024)
21, No. 8 (2023)
21, No. 7 (2023)
21, No. 6 (2023)
21, No. 5 (2023)
21, No. 4 (2023)
21, No. 3 (2023)
21, No. 2 (2023)
21, No. 1 (2022)
20, No. 8 (2022)
20, No. 7 (2022)
20, No. 6 (2022)
20, No. 5 (2022)
20, No. 4 (2022)
20, No. 3 (2022)
20, No. 2 (2022)
20, No. 1 (2022)
19, No. 8 (2021)
19, No. 7 (2021)
19, No. 5 (2021)
19, No. 4 (2021)
19, No. 3 (2021)
19, No. 2 (2021)
19, No. 1 (2021)
18, No. 8 (2020)
18, No. 7 (2020)
18, No. 6 (2020)
18, No. 5 (2020)
18, No. 4 (2020)
18, No. 3 (2020)
18, No. 2 (2020)
18, No. 1 (2020)
17, No. 8 (2019)
17, No. 7 (2019)
17, No. 6 (2019)
17, No. 5 (2019)
17, No. 4 (2019)
17, No. 3 (2019)
17, No. 2 (2019)
17, No. 1 (2019)
16, No. 8 (2018)
16, No. 7 (2018)
16, No. 6 (2018)
16, No. 5 (2018)
16, No. 4 (2018)
16, No. 3 (2018)
16, No. 2 (2018)
16, No. 1 (2018)
15, No. 8 (2017)
15, No. 7 (2017)
15, No. 6 (2017)
15, No. 5 (2017)
15, No. 4 (2017)
15, No. 3 (2017)
15, No. 2 (2017)
15, No. 1 (2017)
14, No. 8 (2016)
14, No. 7 (2016)
14, No. 6 (2016)
14, No. 5 (2016)
14, No. 4 (2016)
14, No. 3 (2016)
14, No. 2 (2016)
14, No. 1 (2016)
13, No. 8 (2015)
13, No. 7 (2015)
13, No. 6 (2015)
13, No. 5 (2015)
13, No. 4 (2015)
13, No. 3 (2015)
13, No. 2 (2015)
13, No. 1 (2015)
12, No. 8 (2014)
12, No. 7 (2014)
12, No. 6 (2014)
12, No. 5 (2014)
12, No. 4 (2014)
12, No. 3 (2014)
12, No. 2 (2014)
12, No. 1 (2014)
11, No. 4 (2013)
11, No. 3 (2013)
11, No. 2 (2013)
11, No. 1 (2013)
10, No. 4 (2012)
10, No. 3 (2012)
10, No. 2 (2012)
10, No. 1 (2012)
9, No. 4 (2011)
9, No. 3 (2011)
9, No. 2 (2011)
9, No. 1 (2011)
8, No. 4 (2010)
8, No. 3 (2010)
8, No. 2 (2010)
8, No. 1 (2010)
7, No. 4 (2009)
7, No. 3 (2009)
...and 26 more Volumes
all top 5

Authors

21 Guo, Boling
20 Majda, Andrew Joseph
16 Ha, Seung-Yeal
15 Osher, Stanley Joel
14 Liu, Chun
14 Tan, Zhong
13 E, Weinan
13 Liu, Jianguo
12 Herty, Michael Matthias
12 Qi, Liqun
12 Xin, Jack X.
12 Ying, Lexing
11 Engquist, Bjorn E.
10 Lu, Jianfeng
10 Wu, Jiahong
9 Jin, Shi
9 Ryzhik, Lenya
9 Zhang, Pingwen
8 Burger, Martin
8 Chalons, Christophe
8 Li, Tong
8 Markowich, Peter Alexander
8 Tsai, Yen-Hsi Richard
8 Vanden-Eijnden, Eric
8 Yang, Xu
8 Zheng, Chunxiong
7 Degond, Pierre
7 Du, Qiang
7 Golse, François
7 Perthame, Benoît
7 Piccoli, Benedetto
7 Runborg, Olof
7 Shi, Xiaoding
7 Zhou, Douglas
7 Zhu, Changjiang
6 Bertozzi, Andrea Louise
6 Cai, David
6 Carrillo de la Plata, José Antonio
6 Garnier, Josselin
6 Jüngel, Ansgar
6 Kovačič, Gregor
6 Li, Tiejun
6 Liu, Hailiang
6 Mei, Ming
6 Pego, Robert Leo
6 Schmeiser, Christian
6 Stuart, Andrew M.
6 Toscani, Giuseppe
6 Tosin, Andrea
6 Wang, Cheng
6 Xu, Xiangsheng
6 Yue, Xingye
6 Zhang, Hui
6 Zhang, Kaijun
6 Zhou, Xiang
5 Arnold, Anton
5 Bal, Guillaume
5 Brull, Stephane
5 Coquel, Frédéric
5 Desvillettes, Laurent
5 Ducomet, Bernard
5 Fan, Jishan
5 Gao, Hongjun
5 Göttlich, Simone
5 Guo, Chunxiao
5 Han, Houde
5 Heitzinger, Clemens
5 Huang, Zhongyi
5 Iyer, Gautam
5 Jiang, Ning
5 Klar, Axel
5 Kurganov, Alexander
5 Lowengrub, John Samuel
5 Mattingly, Jonathan Christopher
5 Méhats, Florian
5 Negulescu, Claudia
5 Qi, Yingyong
5 Rangan, Aaditya V.
5 Ringhofer, Christian A.
5 Sainte-Marie, Jacques
5 Seguin, Nicolas
5 Shen, Jie
5 Tadmor, Eitan
5 Titi, Edriss Saleh
5 Wang, Qi
5 Ye, Zhuan
4 Abramov, Rafail V.
4 Berthon, Christophe
4 Bisi, Marzia
4 Borgna, Juan Pablo
4 Bressan, Alberto
4 Brio, Moysey
4 Chang, Kung-Ching
4 Chen, Yanping
4 Cheng, Li-Tien
4 Colombo, Rinaldo M.
4 Constantin, Peter
4 Dolbeault, Jean
4 Dong, Jiu-Gang
4 Emmrich, Etienne
...and 2,099 more Authors
all top 5

Fields

998 Partial differential equations (35-XX)
499 Fluid mechanics (76-XX)
391 Numerical analysis (65-XX)
221 Statistical mechanics, structure of matter (82-XX)
191 Probability theory and stochastic processes (60-XX)
134 Biology and other natural sciences (92-XX)
88 Ordinary differential equations (34-XX)
81 Calculus of variations and optimal control; optimization (49-XX)
76 Dynamical systems and ergodic theory (37-XX)
67 Mechanics of deformable solids (74-XX)
67 Optics, electromagnetic theory (78-XX)
66 Operations research, mathematical programming (90-XX)
50 Geophysics (86-XX)
47 Information and communication theory, circuits (94-XX)
46 Quantum theory (81-XX)
44 Systems theory; control (93-XX)
43 Classical thermodynamics, heat transfer (80-XX)
42 Statistics (62-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
37 Integral equations (45-XX)
35 Computer science (68-XX)
26 Operator theory (47-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
22 Mechanics of particles and systems (70-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Combinatorics (05-XX)
13 Approximations and expansions (41-XX)
12 Real functions (26-XX)
12 Difference and functional equations (39-XX)
10 Functional analysis (46-XX)
9 Differential geometry (53-XX)
8 Integral transforms, operational calculus (44-XX)
8 Relativity and gravitational theory (83-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Measure and integration (28-XX)
4 Potential theory (31-XX)
4 Astronomy and astrophysics (85-XX)
3 Functions of a complex variable (30-XX)
3 Special functions (33-XX)
2 General and overarching topics; collections (00-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

Publications by Year

Citations contained in zbMATH Open

1,228 Publications have been cited 15,570 times in 12,221 Documents Cited by Year
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
460
2003
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003
Ha, Seung-Yeal; Liu, Jian-Guo
343
2009
Perron-Frobenius theorem for nonnegative tensors. Zbl 1147.15006
Chang, Kung-Ching; Pearson, Kelly; Zhang, Tan
336
2008
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
216
2003
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
171
2007
Kinetic models of opinion formation. Zbl 1195.91128
Toscani, Giuseppe
168
2006
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
152
2010
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models. Zbl 1127.35034
Cao, Yanping; Lunasin, Evelyn M.; Titi, Edriss S.
143
2006
Semi-implicit spectral deferred correction methods for ordinary differential equations. Zbl 1088.65556
Minion, Michael L.
134
2003
Mean field games and systemic risk. Zbl 1337.91031
Carmona, René; Fouque, Jean-Pierre; Sun, Li-Hsien
123
2015
Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Zbl 1192.34067
Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron
123
2009
An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation. Zbl 1338.65221
Guo, Jing; Wang, Cheng; Wise, Steven M.; Yue, Xingye
122
2016
The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\). Zbl 1149.35360
Calvez, Vincent; Corrias, Lucilla
112
2008
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
112
2016
\(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
106
2014
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138
Lorz, Alexander
104
2012
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability. Zbl 1085.65513
Arnold, Anton; Ehrhardt, Matthias; Sofronov, Ivan
96
2003
Emergence of phase-locked states for the Kuramoto model in a large coupling regime. Zbl 1383.92016
Ha, Seung-Yeal; Kim, Hwa Kil; Ryoo, Sang Woo
90
2016
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
89
2009
Synchronization analysis of Kuramoto oscillators. Zbl 1301.34072
Dong, Jiu-Gang; Xue, Xiaoping
88
2013
Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor
85
2004
On collision-avoiding initial configurations to Cucker-Smale type flocking models. Zbl 1321.92084
Ahn, Shin Mi; Choi, Heesun; Ha, Seung-Yeal; Lee, Ho
83
2012
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
77
2007
A stochastic epidemic model incorporating media coverage. Zbl 1344.92155
Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming
75
2016
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
73
2005
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
73
2003
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
Kukavica, Igor; Vicol, Vlad
73
2013
On the complete phase synchronization for the Kuramoto model in the mean-field limit. Zbl 1345.37065
Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto
72
2015
A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089
Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun
70
2011
PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092
Rätz, Andreas; Voigt, Axel
66
2006
On selection dynamics for continuous structured populations. Zbl 1176.45009
Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël
66
2008
Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit. Zbl 1160.86303
Frierson, Dargan M. W.; Majda, Andrew J.; Pauluis, Olivier M.
65
2004
Gauge method for viscous incompressible flows. Zbl 1160.76329
E, Weinan; Liu, Jian-Guo
64
2003
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
60
2007
Stability estimates for a class of Helmholtz problems. Zbl 1135.35323
Hetmaniuk, U.
60
2007
Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation. Zbl 1085.65109
Hou, Thomas Y.; Wu, Xiao-Hui; Zhang, Yu
59
2004
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
59
2011
Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060
Vanden-Eijnden, Eric
58
2003
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
58
2009
A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy. Zbl 1423.60052
Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru
58
2019
Strong convergence of principle of averaging for multiscale stochastic dynamical systems. Zbl 1208.60057
Liu, Di
57
2010
Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system. Zbl 1145.49015
Pinnau, René
56
2007
Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008
Lei, Zhen; Liu, Chun; Zhou, Yi
54
2007
Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040
Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao
54
2010
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
53
2004
Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Zbl 1309.35071
Chen, Mingtao; Xu, Xinying; Zhang, Jianwen
52
2015
Compressible Navier-Stokes equations with temperature dependent heat conductivity. Zbl 1315.35173
Pan, Ronghua; Zhang, Weizhe
52
2015
Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids. Zbl 1183.35224
Zhao, Liyun; Wu, Hao; Huang, Haiyang
51
2009
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
51
2003
Globally hyperbolic regularization of Grad’s moment system in one dimensional space. Zbl 1301.35083
Cai, Zhenning; Fan, Yuwei; Li, Ruo
51
2013
High-order entropy-based closures for linear transport in slab geometry. Zbl 1284.82050
Hauck, Cory D.
50
2011
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
49
2006
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
49
2011
Well-posedness of 3D vortex sheets with surface tension. Zbl 1130.76016
Ambrose, David M.; Masmoudi, Nader
48
2007
Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics. Zbl 1372.76115
Zhang, Jianwen; Zhao, Junning
48
2010
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
47
2015
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
46
2003
Ring patterns and their bifurcations in a nonlocal model of biological swarms. Zbl 1331.35044
Bertozzi, Andrea L.; Kolokolnikov, Theodore; Sun, Hui; Uminsky, David; von Brecht, James
45
2015
Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309
Garcke, Harald; Lam, Kei Fong; Stinner, Björn
45
2014
Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426
Ma, Tian; Wang, Shouhong
44
2007
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
44
2004
Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073
Zhao, Caidi; Yang, Ling
43
2017
Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271
Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs
43
2018
New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318
Hu, D.; Lelièvre, T.
42
2007
Proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients. Zbl 1475.65157
Jentzen, Arnulf; Salimova, Diyora; Welti, Timo
42
2021
Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model. Zbl 1390.35007
Barrett, John W.; Lu, Yong; Süli, Endre
42
2017
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
42
2015
A priori estimates of the population risk for two-layer neural networks. Zbl 1427.68277
E, Weinan; Ma, Chao; Wu, Lei
41
2019
Analysis of the heterogeneous multiscale method for ordinary differential equations. Zbl 1088.65552
E, Weinan
40
2003
Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations. Zbl 1084.35066
Cheng, Li-Tien; Liu, Hailiang; Osher, Stanley
40
2003
Dynamics of the 3D fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain. Zbl 1331.37070
Lu, Hong; Bates, Peter W.; Lü, Shujuan; Zhang, Mingji
40
2015
Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems. Zbl 1115.60036
Givon, Dror; Kevrekidis, Ioannis G.; Kupferman, Raz
40
2006
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135
Levant, Boris; Ramos, Fabio; Titi, Edriss S.
40
2010
Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Zbl 1427.34103
Pignotti, Cristina; Trélat, Emmanuel
40
2018
Infimal convolution regularizations with discrete \(\ell_1\)-type functionals. Zbl 1269.49063
Setzer, S.; Steidl, G.; Teuber, T.
39
2011
Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344
Berthon, Christophe
39
2005
On the Cahn-Hilliard-Brinkman system. Zbl 1330.35313
Bosia, Stefano; Conti, Monica; Grasselli, Maurizio
39
2015
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio
39
2018
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
39
2014
Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
37
2010
S-ROCK methods for stiff Itô SDEs. Zbl 1162.60330
Abdulle, Assyr; Li, Tiejun
37
2008
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Zbl 1518.35109
Li, Genglin; Winkler, Michael
37
2023
Global existence and boundedness in a 2D Keller-Segel-Stokes system with nonlinear diffusion and rotational flux. Zbl 1351.35073
Li, Xie; Wang, Yulan; Xiang, Zhaoyin
37
2016
Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Zbl 1358.35136
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan
37
2016
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
37
2009
Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential. Zbl 1092.76007
Liu, Hailiang; Zhang, Hui; Zhang, Pingwen
36
2005
Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-X\(_\alpha\) model. Zbl 1160.81497
Bao, Weizhu; Mauser, N. J.; Stimming, H. P.
35
2003
Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Zbl 1084.76020
Hong, Lan; Hunter, John K.
35
2003
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
35
2007
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
35
2005
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
35
2008
Transonic shock solutions for a system of Euler-Poisson equations. Zbl 1286.35165
Luo, Tao; Xin, Zhouping
35
2012
On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029
Bellomo, Nicola; Bellouquid, Abdelghani
34
2015
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
34
2005
Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems. Zbl 1182.65072
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Car, Roberto; E, Weinan
34
2009
Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Zbl 1213.35101
Huang, Feimin; Li, Jing; Shi, Xiaoding
34
2010
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
34
2009
Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum. Zbl 1280.35096
Luo, Zhen
34
2012
Network models for supply chains. Zbl 1115.90008
Göttlich, S.; Herty, M.; Klar, A.
33
2005
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
33
2010
A general framework for nonlocal Neumann problems. Zbl 07830582
Foghem, Guy; Kassmann, Moritz
8
2024
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain. Zbl 1540.35367
Chen, Yazhou; Huang, Bin; Shi, Xiaoding
3
2024
On the properties of affine solutions of cold plasma equations. Zbl 1534.35042
Rozanova, Olga S.; Turzynsky, Marko K.
2
2024
Unified asymptotic analysis and numerical simulations of singularly perturbed linear differential equations under various nonlocal boundary effects. Zbl 1541.34036
Chen, Xianjin; Lee, Chiun-Chang; Mizuno, Masashi
1
2024
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in \(\mathbb{R}^2\). Zbl 1542.35007
Li, Sirui; Wang, Chenchen; Xu, Jie
1
2024
A quadratic spline projection method for computing stationary densities of random maps. Zbl 1541.65007
Alshekhi, Azzah; Ding, Jiu; Rhee, Noah
1
2024
Spatial manifestations of order reduction in Runge-Kutta methods for initial boundary value problems. Zbl 1545.65314
Rosales, Rodolfo Ruben; Seibold, Benjamin; Shirokoff, David; Zhou, Dong
1
2024
Autonomous vehicles driving traffic: the Cauchy problem. Zbl 1542.35249
Garavello, Mauro; Marcellini, Francesca
1
2024
Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation. Zbl 1534.65200
Feng, Yue; Ma, Ying
1
2024
Energy method for the Boltzmann equation of monatomic gaseous mixtures. Zbl 1534.35282
Boudin, Laurent; Grec, Bérénice; Pavić-Čolić, Milana; Simić, Srboljub
1
2024
Existence and decay of global strong solutions to the nonhomogeneous incompressible liquid crystal system with vacuum and density-dependent viscosity. Zbl 1534.35341
Ye, Xia; Zhu, Mingxuan
1
2024
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Zbl 1518.35109
Li, Genglin; Winkler, Michael
37
2023
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations. Zbl 1516.65071
Zhao, Chengchao; Liu, Nan; Ma, Yuheng; Zhang, Jiwei
7
2023
An energy stable finite difference scheme for the Ericksen-Leslie system with penalty function and its optimal rate convergence analysis. Zbl 07713441
Cheng, Kelong; Wang, Cheng; Wise, Steven M.
6
2023
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption. Zbl 1527.35075
Laurençot, Philippe
6
2023
Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model. Zbl 1527.65083
Ji, Bingquan; Zhu, Xiaohan; Liao, Hong-Lin
6
2023
Dual quaternion matrices in multi-agent formation control. Zbl 1528.15006
Qi, Liqun; Wang, Xiangke; Luo, Ziyan
5
2023
Convergence analysis of structure-preserving numerical methods based on slotboom transformation for the Poisson-Nernst-Planck equations. Zbl 07713254
Ding, Jie; Wang, Cheng; Zhou, Shenggao
4
2023
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension. Zbl 1518.35084
Chu, Jiawei; Jin, Hai-Yang; Xiang, Tian
3
2023
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term. Zbl 1528.35006
Yu, Huimin; Zhang, Xiaomin; Sun, Jiawei
3
2023
Error estimate of the nonuniform \(L1\) type formula for the time fractional diffusion-wave equation. Zbl 1527.65074
Sun, Hong; Chen, Yanping; Zhao, Xuan
3
2023
Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump. Zbl 1527.35032
Bunoiu, Renata; Ramdani, Karim; Timofte, Claudia
3
2023
Robust estimation of effective diffusions from multiscale data. Zbl 1518.60072
Garegnani, Giacomo; Zanoni, Andrea
2
2023
Numerical evidence of exponential mixing by alternating shear flows. Zbl 1548.76205
Cheng, Li-Tien; Rajasekaran, Frederick; Wong, Kin Yau James; Zlatoš, Andrej
2
2023
Van der Waals interactions between two hydrogen atoms: the next orders. Zbl 1517.35189
Cancès, Eric; Coyaud, Rafaël; Scott, L. Ridgway
2
2023
A Wasserstein norm for signed measures, with application to non-local transport equation with source term. Zbl 1527.35336
Piccoli, Benedetto; Rossi, Francesco; Tournus, Magali
2
2023
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field. Zbl 1527.35271
Cui, Xiufang; Li, Shengxin; Xie, Feng
2
2023
Fokker-Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results. Zbl 1538.35387
Auricchio, Ferdinando; Toscani, Giuseppe; Zanella, Mattia
2
2023
A Cahn-Hilliard model coupled to viscoelasticity with large deformations. Zbl 1534.35307
Agosti, Abramo; Colli, Pierluigi; Garcke, Harald; Rocca, Elisabetta
2
2023
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity. Zbl 1534.65152
Birke, Claudius; Chalons, Christophe; Klingenberg, Christian
2
2023
Optimal large time behavior of the compressible bipolar Navier-Stokes-Poisson system. Zbl 1518.35080
Chen, Qing; Wu, Guochun; Zhang, Yinghui
1
2023
On anisotropic non-Lipschitz restoration model: lower bound theory and iterative algorithm. Zbl 1518.49030
Wu, Chunlin; Lin, Xuan; Zhao, Yufei
1
2023
On the equilibrium of the Poisson-Nernst-Planck-Bikermann model equipping with the steric and correlation effects. Zbl 1516.35427
Liu, Jian-Guo; Tang, Yijia; Zhao, Yu
1
2023
Location of concentrated vortices in planar steady Euler flows. Zbl 1516.35323
Wang, Guodong; Zuo, Bijun
1
2023
A derivative-free conjugate gradient method for large-scale nonlinear systems of monotone equations. Zbl 1516.65045
Gao, Jing; Li, Yanran; Cao, Mingyuan; Yang, Yueting; Bai, Xue
1
2023
The Fourier discrepancy function. Zbl 1518.60003
Auricchio, Gennaro; Codegoni, Andrea; Gualandi, Stefano; Zambon, Lorenzo
1
2023
Some models for the interaction of long and short waves in dispersive media. II: Well-posedness. Zbl 1529.35360
Liu, Chuangye; Nguyen, Nghiem V.
1
2023
Adaptive central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1523.76065
Epshteyn, Yekaterina; Nguyen, Thuong
1
2023
Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations. Zbl 1516.65112
Porteous, William A.; Laiu, Ming Tse P.; Hauck, Cory D.
1
2023
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data. Zbl 1518.35455
Lin, Ke
1
2023
Existence of polynomial attractor for a class of extensible beams with nonlocal weak damping. Zbl 1541.35077
Zhao, Chunxiang; Zhao, Chunyan; Zhong, Chengkui
1
2023
Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions. Zbl 1524.81119
Huang, Hang; Landsberg, Joseph M.; Lu, Jianfeng
1
2023
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity. Zbl 1528.35128
Li, Jinkai; Tao, Qiang
1
2023
Sobolev training for physics-informed neural networks. Zbl 1527.65115
Son, Hwijae; Jang, Jin Woo; Han, Woo Jin; Hwang, Hyung Ju
1
2023
Recovery of a distributed order fractional derivative in an unknown medium. Zbl 1527.35493
Jin, Bangti; Kian, Yavar
1
2023
High friction limits of Euler-Navier-Stokes-Korteweg equations for multicomponent models. Zbl 1528.35114
Cianfarani Carnevale, Giada; Lattanzio, Corrado
1
2023
Determination for the 2D incompressible Navier-Stokes equations in Lipschitz domain. Zbl 1534.35301
Yang, Xin-Guang; Hu, Meng; Ma, To Fu; Yuan, Jinyun
1
2023
Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. Zbl 1489.65124
Shen, Jie; Zhang, Xiangxiong
14
2022
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers. Zbl 1484.35162
Chaumont-Frelet, Théophile; Gallistl, Dietmar; Nicaise, Serge; Tomezyk, Jérôme
12
2022
High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities. Zbl 1518.35140
Chen, Yuxuan; Rădulescu, Vicenţiu D.; Xu, Runzhang
11
2022
Identification of time-varying source term in time-fractional diffusion equations. Zbl 1483.35342
Kian, Yavar; Soccorsi, Éric; Xue, Qi; Yamamoto, Masahiro
11
2022
Continuum limits for adaptive network dynamics. Zbl 1539.35269
Gkogkas, Marios A.; Kuehn, Christian; Xu, Chuang
9
2022
A sharp critical threshold for a traffic flow model with look-ahead dynamics. Zbl 1493.35054
Lee, Yongki; Tan, Changhui
9
2022
A fully well-balanced scheme for shallow water equations with Coriolis force. Zbl 1499.65458
Desveaux, Vivien; Masset, Alice
8
2022
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data. Zbl 1499.35492
Ai, Xiaolian; Li, Zhouyu
7
2022
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems. Zbl 1483.35143
Zhang, Ziyun
7
2022
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach. Zbl 1496.65110
Duan, Chenghua; Chen, Wenbin; Liu, Chun; Wang, Cheng; Yue, Xingye
7
2022
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. Zbl 1524.35627
Schnaubelt, Roland; Spitz, Martin
6
2022
Mass-energy threshold dynamics for dipolar quantum gases. Zbl 1479.35775
Dinh, Van Duong; Forcella, Luigi; Hajaiej, Hichem
6
2022
Existence, regularity and weak-strong uniqueness for three-dimensional Peterlin viscoelastic model. Zbl 1510.35205
Brunk, Aaron; Lu, Yong; Lukáčová-Medviďová, Mária
6
2022
On two-dimensional steady hypersonic-limit Euler flows passing ramps and Radon measure solutions of compressible Euler equations. Zbl 1492.35204
Jin, Yunjuan; Qu, Aifang; Yuan, Hairong
6
2022
A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations. Zbl 1483.35008
Mengesha, Tadele; Scott, James M.
5
2022
Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift. Zbl 1490.35493
Arnold, Anton; Schmeiser, Christian; Signorello, Beatrice
5
2022
Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. Zbl 1507.35038
Elbar, Charles; Perthame, Benoît; Poulain, Alexandre
4
2022
Stabilized exponential time differencing schemes for the convective Allen-Cahn equation. Zbl 07713240
Cai, Yongyong; Ju, Lili; Lan, Rihui; Li, Jingwei
4
2022
Consistency analysis of bilevel data-driven learning in inverse problems. Zbl 1483.35338
Chada, Neil K.; Schillings, Claudia; Tong, Xin T.; Weissmann, Simon
4
2022
On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient. Zbl 1503.35022
Leitenmaier, Lena; Runborg, Olof
4
2022
An efficient data-driven solver for Fokker-Planck equations: algorithm and analysis. Zbl 1497.65016
Dobson, Matthew; Li, Yao; Zhai, Jiayu
4
2022
Traveling waves in a Keller-Segel model with logistic growth. Zbl 1484.35112
Li, Tong; Park, Jeungeun
4
2022
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems. Zbl 1499.34142
Lee, Hwi; Du, Qiang
3
2022
A second-order well-balanced Lagrange-projection numerical scheme for shallow water Exner equations in 1D and 2D. Zbl 1499.65616
Chalons, Christophe; Del Grosso, Alessia
3
2022
Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme. Zbl 1492.65229
Abgrall, Rémi; Torlo, Davide
3
2022
The Bramson correction for integro-differential Fisher-KPP equations. Zbl 1483.35028
Graham, Cole
3
2022
Universal approximation of symmetric and anti-symmetric functions. Zbl 1510.41004
Han, Jiequn; Li, Yingzhou; Lin, Lin; Lu, Jianfeng; Zhang, Jiefu; Zhang, Linfeng
3
2022
ST-SVD factorization and s-diagonal tensors. Zbl 1487.15032
Ling, Chen; Liu, Jinjie; Ouyang, Chen; Qi, Liqun
3
2022
Reaction-diffusion equations derived from kinetic models and their Turing instability. Zbl 1506.35132
Bisi, Marzia; Travaglini, Romina
3
2022
The Cahn-Hilliard-Boussinesq system with singular potential. Zbl 1485.35323
Grasselli, Maurizio; Poiatti, Andrea
3
2022
Tensor PDE model of biological network formation. Zbl 1492.35365
Haskovec, Jan; Markowich, Peter; Pilli, Giulia
3
2022
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics. Zbl 1502.35096
Ju, Qiangchang; Liao, Yongkai
2
2022
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint. Zbl 1501.49002
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing
2
2022
Global weak solutions to a three-dimensional compressible non-Newtonian fluid. Zbl 1513.76114
Fang, Li; Guo, Zhenhua
2
2022
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion. Zbl 1503.35138
Li, Yeping; Luo, Zhen; Wu, Jiahong
2
2022
Blow-up time of strong solutions to a biological network formation model in high space dimensions. Zbl 1504.35089
Xu, Xiangsheng
2
2022
Fast Sinkhorn. I: An \(O(N)\) algorithm for the Wasserstein-1 metric. Zbl 1503.49027
Liao, Qichen; Chen, Jing; Wang, Zihao; Bai, Bo; Jin, Shi; Wu, Hao
2
2022
Heterogeneous multiscale methods for rough-wall laminar viscous flow. Zbl 1516.76051
Carney, Sean P.; Engquist, Björn
2
2022
Rarefied gas dynamics with external fields under specular reflection boundary condition. Zbl 1529.35319
Cao, Yunbai
2
2022
Existence of smooth solutions to the Landau-Fermi-Dirac equation with Coulomb potential. Zbl 1524.35617
Golding, William; Gualdani, Maria Pia; Zamponi, Nicola
2
2022
Kinetic model for myxobacteria with directional diffusion. Zbl 1518.35052
Kanzler, Laura; Schmeiser, Christian
2
2022
Low-Mach type approximation of the Navier-Stokes system with temperature and salinity for free surface flows. Zbl 1516.35301
Boittin, Léa; Bristeau, Marie-Odile; Bouchut, François; Mangeney, Anne; Sainte-Marie, Jacques; Souillé, Fabien
2
2022
Global convergence of triangularized orthogonalization-free method. Zbl 1516.65028
Gao, Weiguo; Li, Yingzhou; Lu, Bichen
2
2022
Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case. Zbl 1518.35505
Sugiyama, Yuusuke
2
2022
Lake equations with an evanescent or emergent island. Zbl 1509.35222
Hientzsch, Lars Eric; Lacave, Christophe; Miot, Evelyne
2
2022
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter. Zbl 1483.45008
Yang, Jerry Z.; Yin, Xiaobo; Zhang, Jiwei
2
2022
A Fourier collocation method for Schrödinger-Poisson system with perfectly matched layer. Zbl 1480.65354
Cheng, Ronghua; Wu, Liping; Pang, Chunping; Wang, Hanquan
2
2022
Global existence and large time behavior of strong solutions for nonhomogeneous heat conducting Navier-Stokes equations with large initial data and vacuum. Zbl 1490.76063
Zhong, Xin
2
2022
Lack of exact controllability of a higher-order BBM system. Zbl 1489.35245
Sierra Fonseca, Oscar A.; Pazoto, Ademir F.
2
2022
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures. Zbl 1484.65176
Cho, Seung Yeon; Boscarino, Sebastiano; Groppi, Maria; Russo, Giovanni
2
2022
A finite element method for Dirichlet boundary control of elliptic partial differential equations. Zbl 1486.49032
Du, Shaohong; Cai, Zhiqiang
2
2022
Global solvability to a cancer invasion model with remodeling of ECM and porous medium diffusion. Zbl 1501.35127
Zhang, Danqing; Jin, Chunhua
1
2022
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum. Zbl 1513.76171
Liu, Shengquan; Liu, Qiao
1
2022
...and 1128 more Documents
all top 5

Cited by 12,676 Authors

173 Ha, Seung-Yeal
81 Carrillo de la Plata, José Antonio
81 Qi, Liqun
54 Majda, Andrew Joseph
53 Jin, Shi
53 Wang, Cheng
52 Chung, Tsz Shun Eric
49 Winkler, Michael
48 Abdulle, Assyr
46 Choi, Young-Pil
45 Du, Qiang
45 Kevrekidis, Ioannis George
44 Herty, Michael Matthias
44 Kurganov, Alexander
42 Efendiev, Yalchin R.
42 Yang, Xiaofeng
41 Degond, Pierre
40 Lu, Jianfeng
40 Shen, Jie
39 Zanella, Mattia
38 Liu, Chun
37 Wise, Steven M.
36 Liu, Hailiang
35 Chebotarev, Alexander Yurievich
34 Burger, Martin
34 He, Xiaoming
34 Li, Yeping
34 Mai Duc Thanh
33 Göttlich, Simone
33 Jüngel, Ansgar
33 Kim, Junseok
33 Liu, Jianguo
33 Masmoudi, Nader
33 Toscani, Giuseppe
32 E, Weinan
31 Liu, Yicheng
31 Perthame, Benoît
30 Grasselli, Maurizio
30 Pareschi, Lorenzo
30 Ying, Lexing
29 Jentzen, Arnulf
29 Ju, Lili
29 Wang, Bixiang
29 Wang, Xiaoming
29 Wu, Jiahong
28 Kim, Jeongho
27 Osher, Stanley Joel
27 Stuart, Andrew M.
27 Ye, Zhuan
26 Ko, Dongnam
26 Titi, Edriss Saleh
26 Wu, Hao
26 Yun, Seok-Bae
26 Zhang, Jiwei
25 Bao, Weizhu
25 Coclite, Giuseppe Maria
25 Garcke, Harald
25 Guo, Boling
25 Souganidis, Panagiotis E.
25 Tan, Zhong
25 Yang, Haizhao
24 Kim, Doheon
24 Wei, Yimin
24 Zhang, Mingji
24 Zhang, Qian
23 Chen, Wenbin
23 Dolbeault, Jean
23 Duan, Jinqiao
23 Leung, Wingtat
23 Qiao, Zhonghua
23 Zhang, Xiongtao
23 Zhong, Xin
23 Zhu, Changjiang
22 Chalons, Christophe
22 Cung The Anh
22 Harlim, John
22 Li, Ruo
22 Minion, Michael L.
22 Morales de Luna, Tomás
22 Park, Hansol
22 Samaey, Giovanni
22 Süli, Endre E.
22 Tadmor, Eitan
22 Wang, Dehua
22 Wang, Quan
22 Xin, Jack X.
22 Yang, Junxiang
22 Zhang, Xianwen
21 Bellomo, Nicola
21 Dimarco, Giacomo
21 Fernández-Nieto, Enrique Domingo
21 Gunzburger, Max Donald
21 Li, Chaoqian
21 Peterseim, Daniel
21 Qian, Jianliang
21 Qian, Xu
21 Rocca, Elisabetta
21 Shim, Woojoo
21 Tsai, Yen-Hsi Richard
21 Vasseur, Alexis F.
...and 12,576 more Authors
all top 5

Cited in 633 Journals

786 Journal of Computational Physics
461 Journal of Differential Equations
319 Journal of Scientific Computing
243 Journal of Mathematical Analysis and Applications
238 SIAM Journal on Mathematical Analysis
229 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
221 Journal of Computational and Applied Mathematics
220 Mathematical Methods in the Applied Sciences
182 Discrete and Continuous Dynamical Systems. Series B
179 SIAM Journal on Scientific Computing
173 Multiscale Modeling & Simulation
167 Computer Methods in Applied Mechanics and Engineering
167 Journal of Mathematical Physics
154 Archive for Rational Mechanics and Analysis
150 ZAMP. Zeitschrift für angewandte Mathematik und Physik
149 Physica D
148 Kinetic and Related Models
138 Nonlinearity
137 Computers & Mathematics with Applications
133 Discrete and Continuous Dynamical Systems
128 Applied Numerical Mathematics
127 Applied Mathematics and Computation
127 Nonlinear Analysis. Real World Applications
119 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
118 SIAM Journal on Numerical Analysis
117 Journal of Statistical Physics
117 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
103 Communications in Computational Physics
101 SIAM Journal on Applied Mathematics
96 Journal of Mathematical Fluid Mechanics
95 Journal of Nonlinear Science
90 Applied Mathematics Letters
89 Mathematics of Computation
87 Inverse Problems
82 Computers and Fluids
81 Linear Algebra and its Applications
78 Journal of Fluid Mechanics
78 Communications on Pure and Applied Analysis
75 Networks and Heterogeneous Media
73 Numerische Mathematik
73 Calculus of Variations and Partial Differential Equations
72 Communications in Nonlinear Science and Numerical Simulation
71 Communications on Pure and Applied Mathematics
71 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
70 Applicable Analysis
70 Communications in Mathematical Physics
70 Discrete and Continuous Dynamical Systems. Series S
66 Numerical Methods for Partial Differential Equations
64 SIAM Journal on Applied Dynamical Systems
61 Journal of Mathematical Biology
60 Journal de Mathématiques Pures et Appliquées. Neuvième Série
58 Science China. Mathematics
56 Journal of Functional Analysis
56 Acta Applicandae Mathematicae
56 SIAM Journal on Imaging Sciences
54 Physica A
53 Computer Physics Communications
53 Numerical Algorithms
53 Communications in Partial Differential Equations
50 Stochastic Processes and their Applications
50 Acta Mathematica Scientia. Series B. (English Edition)
47 Mathematics and Computers in Simulation
47 Frontiers of Mathematics in China
46 Chaos
46 Journal of Hyperbolic Differential Equations
44 BIT
44 International Journal for Numerical Methods in Engineering
44 Quarterly of Applied Mathematics
44 Journal of Evolution Equations
42 The Annals of Applied Probability
42 Computational and Applied Mathematics
41 SIAM Journal on Control and Optimization
40 Applied Mathematics and Optimization
40 Advances in Computational Mathematics
38 European Journal of Applied Mathematics
38 SIAM/ASA Journal on Uncertainty Quantification
36 Chinese Annals of Mathematics. Series B
36 International Journal of Computer Mathematics
36 Journal of Dynamics and Differential Equations
36 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
35 Studies in Applied Mathematics
34 Linear and Multilinear Algebra
34 Boundary Value Problems
32 Bulletin of Mathematical Biology
32 Journal of Mathematical Imaging and Vision
32 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
32 Comptes Rendus. Mathématique. Académie des Sciences, Paris
31 Applied Mathematical Modelling
30 Analysis and Applications (Singapore)
29 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
29 Inverse Problems and Imaging
29 Journal of Applied Analysis and Computation
28 NoDEA. Nonlinear Differential Equations and Applications
28 Journal of Physics A: Mathematical and Theoretical
28 Research in the Mathematical Sciences
27 Journal of Theoretical Biology
26 International Journal for Numerical Methods in Fluids
26 Proceedings of the American Mathematical Society
26 Stochastics and Dynamics
26 Communications on Applied Mathematics and Computation
...and 533 more Journals
all top 5

Cited in 60 Fields

7,110 Partial differential equations (35-XX)
3,982 Fluid mechanics (76-XX)
3,978 Numerical analysis (65-XX)
1,500 Biology and other natural sciences (92-XX)
1,304 Statistical mechanics, structure of matter (82-XX)
1,236 Probability theory and stochastic processes (60-XX)
622 Dynamical systems and ergodic theory (37-XX)
617 Ordinary differential equations (34-XX)
611 Calculus of variations and optimal control; optimization (49-XX)
606 Mechanics of deformable solids (74-XX)
424 Linear and multilinear algebra; matrix theory (15-XX)
385 Systems theory; control (93-XX)
381 Operations research, mathematical programming (90-XX)
371 Optics, electromagnetic theory (78-XX)
366 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
359 Computer science (68-XX)
326 Geophysics (86-XX)
322 Quantum theory (81-XX)
307 Statistics (62-XX)
296 Classical thermodynamics, heat transfer (80-XX)
261 Information and communication theory, circuits (94-XX)
227 Operator theory (47-XX)
222 Combinatorics (05-XX)
212 Integral equations (45-XX)
164 Mechanics of particles and systems (70-XX)
138 Real functions (26-XX)
114 Approximations and expansions (41-XX)
108 Harmonic analysis on Euclidean spaces (42-XX)
108 Functional analysis (46-XX)
103 Global analysis, analysis on manifolds (58-XX)
77 Differential geometry (53-XX)
54 Relativity and gravitational theory (83-XX)
54 Astronomy and astrophysics (85-XX)
47 Difference and functional equations (39-XX)
37 Integral transforms, operational calculus (44-XX)
36 Measure and integration (28-XX)
32 Special functions (33-XX)
24 General and overarching topics; collections (00-XX)
22 Potential theory (31-XX)
13 Functions of a complex variable (30-XX)
13 Convex and discrete geometry (52-XX)
8 Algebraic geometry (14-XX)
7 Commutative algebra (13-XX)
5 General topology (54-XX)
5 Mathematics education (97-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
3 Topological groups, Lie groups (22-XX)
3 Manifolds and cell complexes (57-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)

Citations by Year