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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: 1,430 Publications (since 2003)
all top 5

Latest Issues

21, No. 7 (2023)
21, No. 6 (2023)
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13, No. 8 (2015)
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13, No. 5 (2015)
13, No. 4 (2015)
13, No. 3 (2015)
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13, No. 1 (2015)
12, No. 8 (2014)
12, No. 7 (2014)
12, No. 6 (2014)
12, No. 5 (2014)
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12, No. 1 (2014)
11, No. 4 (2013)
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11, No. 1 (2013)
10, No. 4 (2012)
10, No. 3 (2012)
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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)
7, No. 2 (2009)
7, No. 1 (2009)
6, No. 4 (2008)
6, No. 3 (2008)
...and 22 more Volumes
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Authors

21 Guo, Boling
20 Majda, Andrew J.
16 Ha, Seung-Yeal
15 Osher, Stanley Joel
14 Liu, Chun
13 E, Weinan
13 Liu, Jianguo
13 Tan, Zhong
12 Qi, Liqun
12 Xin, Jack X.
11 Engquist, Bjorn E.
11 Herty, Michael Matthias
11 Ying, Lexing
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 Zhou, Douglas
7 Zhu, Changjiang
6 Bertozzi, Andrea Louise
6 Cai, David
6 Carrillo de la Plata, José Antonio
6 Garnier, Josselin
6 Heitzinger, Clemens
6 Jüngel, Ansgar
6 Kovačič, Gregor
6 Li, Tiejun
6 Liu, Hailiang
6 Pego, Robert Leo
6 Schmeiser, Christian
6 Shi, Xiaoding
6 Stuart, Andrew M.
6 Toscani, Giuseppe
6 Wang, Cheng
6 Xu, Xiangsheng
6 Yue, Xingye
6 Zhang, Hui
6 Zhang, Kaijun
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 Guo, Chunxiao
5 Han, Houde
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 Mei, Ming
5 Negulescu, Claudia
5 Qi, Yingyong
5 Rangan, Aaditya V.
5 Ringhofer, Christian A.
5 Sainte-Marie, Jacques
5 Seguin, Nicolas
5 Tadmor, Eitan
5 Titi, Edriss Saleh
5 Tosin, Andrea
5 Wang, Qi
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 Cheng, Li-Tien
4 Colombo, Rinaldo M.
4 Constantin, Peter
4 Dolbeault, Jean
4 Dong, Jiu-Gang
4 Emmrich, Etienne
4 Epshteyn, Yekaterina
4 Fatkullin, Ibrahim
4 Ferreira, Lucas Catão de Freitas
4 Goatin, Paola
4 Göttlich, Simone
...and 2,017 more Authors
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Fields

966 Partial differential equations (35-XX)
482 Fluid mechanics (76-XX)
379 Numerical analysis (65-XX)
219 Statistical mechanics, structure of matter (82-XX)
190 Probability theory and stochastic processes (60-XX)
133 Biology and other natural sciences (92-XX)
87 Ordinary differential equations (34-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
74 Dynamical systems and ergodic theory (37-XX)
65 Mechanics of deformable solids (74-XX)
64 Optics, electromagnetic theory (78-XX)
63 Operations research, mathematical programming (90-XX)
50 Geophysics (86-XX)
47 Information and communication theory, circuits (94-XX)
44 Quantum theory (81-XX)
42 Systems theory; control (93-XX)
41 Statistics (62-XX)
40 Classical thermodynamics, heat transfer (80-XX)
37 Integral equations (45-XX)
36 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Computer science (68-XX)
25 Operator theory (47-XX)
23 Mechanics of particles and systems (70-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
14 Global analysis, analysis on manifolds (58-XX)
12 Combinatorics (05-XX)
12 Real functions (26-XX)
12 Difference and functional equations (39-XX)
12 Approximations and expansions (41-XX)
9 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)
5 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

1,138 Publications have been cited 13,012 times in 10,218 Documents Cited by Year
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
397
2003
Perron-Frobenius theorem for nonnegative tensors. Zbl 1147.15006
Chang, Kung-Ching; Pearson, Kelly; Zhang, Tan
314
2008
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003
Ha, Seung-Yeal; Liu, Jian-Guo
293
2009
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
185
2003
Kinetic models of opinion formation. Zbl 1195.91128
Toscani, Giuseppe
141
2006
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
138
2007
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
130
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.
128
2006
Semi-implicit spectral deferred correction methods for ordinary differential equations. Zbl 1088.65556
Minion, Michael L.
123
2003
Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Zbl 1192.34067
Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron
115
2009
Mean field games and systemic risk. Zbl 1337.91031
Carmona, René; Fouque, Jean-Pierre; Sun, Li-Hsien
108
2015
\(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
102
2014
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
96
2016
The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\). Zbl 1149.35360
Calvez, Vincent; Corrias, Lucilla
92
2008
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
88
2016
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138
Lorz, Alexander
88
2012
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability. Zbl 1085.65513
Arnold, Anton; Ehrhardt, Matthias; Sofronov, Ivan
85
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
84
2016
Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor
80
2004
Synchronization analysis of Kuramoto oscillators. Zbl 1301.34072
Dong, Jiu-Gang; Xue, Xiaoping
79
2013
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
76
2007
On collision-avoiding initial configurations to Cucker-Smale type flocking models. Zbl 1321.92084
Ahn, Shin Mi; Choi, Heesun; Ha, Seung-Yeal; Lee, Ho
75
2012
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
74
2009
A stochastic epidemic model incorporating media coverage. Zbl 1344.92155
Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming
65
2016
On the complete phase synchronization for the Kuramoto model in the mean-field limit. Zbl 1345.37065
Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto
64
2015
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
63
2005
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
63
2003
On selection dynamics for continuous structured populations. Zbl 1176.45009
Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël
62
2008
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
Kukavica, Igor; Vicol, Vlad
60
2013
Gauge method for viscous incompressible flows. Zbl 1160.76329
E, Weinan; Liu, Jian-Guo
58
2003
Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060
Vanden-Eijnden, Eric
58
2003
PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092
Rätz, Andreas; Voigt, Axel
57
2006
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
56
2004
Stability estimates for a class of Helmholtz problems. Zbl 1135.35323
Hetmaniuk, U.
56
2007
A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089
Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun
56
2011
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
54
2007
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
54
2004
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.
52
2004
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
51
2003
Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system. Zbl 1145.49015
Pinnau, René
51
2007
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
50
2009
Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040
Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao
50
2010
Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008
Lei, Zhen; Liu, Chun; Zhou, Yi
49
2007
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
49
2019
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
48
2009
Strong convergence of principle of averaging for multiscale stochastic dynamical systems. Zbl 1208.60057
Liu, Di
47
2010
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
47
2011
Well-posedness of 3D vortex sheets with surface tension. Zbl 1130.76016
Ambrose, David M.; Masmoudi, Nader
46
2007
High-order entropy-based closures for linear transport in slab geometry. Zbl 1284.82050
Hauck, Cory D.
46
2011
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
44
2006
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
44
2003
Globally hyperbolic regularization of Grad’s moment system in one dimensional space. Zbl 1301.35083
Cai, Zhenning; Fan, Yuwei; Li, Ruo
43
2013
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
42
2004
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
42
2015
Compressible Navier-Stokes equations with temperature dependent heat conductivity. Zbl 1315.35173
Pan, Ronghua; Zhang, Weizhe
41
2015
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
40
2015
Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Zbl 1309.35071
Chen, Mingtao; Xu, Xinying; Zhang, Jianwen
40
2015
Analysis of the heterogeneous multiscale method for ordinary differential equations. Zbl 1088.65552
E, Weinan
39
2003
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
39
2011
Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309
Garcke, Harald; Lam, Kei Fong; Stinner, Björn
39
2014
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
38
2003
Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics. Zbl 1372.76115
Zhang, Jianwen; Zhao, Junning
38
2010
Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426
Ma, Tian; Wang, Shouhong
37
2007
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
37
2015
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
Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems. Zbl 1115.60036
Givon, Dror; Kevrekidis, Ioannis G.; Kupferman, Raz
36
2006
Infimal convolution regularizations with discrete \(\ell_1\)-type functionals. Zbl 1269.49063
Setzer, S.; Steidl, G.; Teuber, T.
36
2011
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135
Levant, Boris; Ramos, Fabio; Titi, Edriss S.
36
2010
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
36
2016
Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344
Berthon, Christophe
35
2005
New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318
Hu, D.; Lelièvre, T.
35
2007
On the Cahn-Hilliard-Brinkman system. Zbl 1330.35313
Bosia, Stefano; Conti, Monica; Grasselli, Maurizio
35
2015
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
34
2007
S-ROCK methods for stiff Itô SDEs. Zbl 1162.60330
Abdulle, Assyr; Li, Tiejun
34
2008
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
34
2015
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
34
2009
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
Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum. Zbl 1280.35096
Luo, Zhen
33
2012
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
33
2018
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
33
2008
Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Zbl 1358.35136
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan
33
2016
Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Zbl 1084.76020
Hong, Lan; Hunter, John K.
32
2003
Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
32
2010
Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271
Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs
32
2018
A priori estimates of the population risk for two-layer neural networks. Zbl 1427.68277
E, Weinan; Ma, Chao; Wu, Lei
32
2019
Weak solutions for a bioconvection model related to Bacillus subtilis. Zbl 1302.35069
Vorotnikov, Dmitry
32
2014
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
32
2009
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
31
2005
On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029
Bellomo, Nicola; Bellouquid, Abdelghani
31
2015
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
31
2014
Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315
Ma, Tian; Wang, Shouhong
30
2004
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
30
2005
Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Zbl 1213.35101
Huang, Feimin; Li, Jing; Shi, Xiaoding
30
2010
Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
30
2014
\(L^1\)-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
29
2003
Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations. Zbl 1084.35058
Ilyin, A. A.; Miranville, A.; Titi, E. S.
29
2004
Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038
Banaji, Murad; Craciun, Gheorghe
29
2009
An energetic variational approach for ion transport. Zbl 1319.35199
Xu, Shixin; Sheng, Ping; Liu, Chun
29
2014
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.
28
2003
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Zbl 1518.35109
Li, Genglin; Winkler, Michael
10
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
2
2023
Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions. Zbl 1524.81119
Huang, Hang; Landsberg, Joseph M.; Lu, Jianfeng
1
2023
Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model. Zbl 07772400
Ji, Bingquan; Zhu, Xiaohan; Liao, Hong-Lin
1
2023
Numerical evidence of exponential mixing by alternating shear flows. Zbl 07713257
Cheng, Li-Tien; Rajasekaran, Frederick; Wong, Kin Yau James; Zlatoš, Andrej
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
Van der Waals interactions between two hydrogen atoms: the next orders. Zbl 1517.35189
Cancès, Eric; Coyaud, Rafaël; Scott, L. Ridgway
1
2023
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
8
2022
Identification of time-varying source term in time-fractional diffusion equations. Zbl 1483.35342
Kian, Yavar; Soccorsi, Éric; Xue, Qi; Yamamoto, Masahiro
7
2022
Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. Zbl 1489.65124
Shen, Jie; Zhang, Xiangxiong
6
2022
On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient. Zbl 1503.35022
Leitenmaier, Lena; Runborg, Olof
4
2022
Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift. Zbl 1490.35493
Arnold, Anton; Schmeiser, Christian; Signorello, Beatrice
4
2022
A sharp critical threshold for a traffic flow model with look-ahead dynamics. Zbl 1493.35054
Lee, Yongki; Tan, Changhui
4
2022
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. Zbl 1524.35627
Schnaubelt, Roland; Spitz, Martin
4
2022
Mass-energy threshold dynamics for dipolar quantum gases. Zbl 1479.35775
Dinh, Van Duong; Forcella, Luigi; Hajaiej, Hichem
4
2022
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems. Zbl 1483.35143
Zhang, Ziyun
4
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
4
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An efficient data-driven solver for Fokker-Planck equations: algorithm and analysis. Zbl 1497.65016
Dobson, Matthew; Li, Yao; Zhai, Jiayu
3
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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
3
2022
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data. Zbl 1499.35492
Ai, Xiaolian; Li, Zhouyu
3
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
3
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Consistency analysis of bilevel data-driven learning in inverse problems. Zbl 1483.35338
Chada, Neil K.; Schillings, Claudia; Tong, Xin T.; Weissmann, Simon
3
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.
3
2022
ST-SVD factorization and s-diagonal tensors. Zbl 1487.15032
Ling, Chen; Liu, Jinjie; Ouyang, Chen; Qi, Liqun
2
2022
Traveling waves in a Keller-Segel model with logistic growth. Zbl 1484.35112
Li, Tong; Park, Jeungeun
2
2022
The Cahn-Hilliard-Boussinesq system with singular potential. Zbl 1485.35323
Grasselli, Maurizio; Poiatti, Andrea
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
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A fully well-balanced scheme for shallow water equations with Coriolis force. Zbl 1499.65458
Desveaux, Vivien; Masset, Alice
2
2022
Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. Zbl 1507.35038
Elbar, Charles; Perthame, Benoît; Poulain, Alexandre
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
Continuum limits for adaptive network dynamics. Zbl 07713238
Gkogkas, Marios A.; Kuehn, Christian; Xu, Chuang
2
2022
Kinetic model for myxobacteria with directional diffusion. Zbl 1518.35052
Kanzler, Laura; Schmeiser, Christian
2
2022
Stabilized exponential time differencing schemes for the convective Allen-Cahn equation. Zbl 07713240
Cai, Yongyong; Ju, Lili; Lan, Rihui; Li, Jingwei
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
1
2022
A finite element method for Dirichlet boundary control of elliptic partial differential equations. Zbl 1486.49032
Du, Shaohong; Cai, Zhiqiang
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
On global regularity for a model of the regularized Boussinesq equations with zero diffusion. Zbl 1498.35452
Ye, Zhuan
1
2022
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics. Zbl 1502.35096
Ju, Qiangchang; Liao, Yongkai
1
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
1
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Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems. Zbl 1499.34142
Lee, Hwi; Du, Qiang
1
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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
1
2022
Asymptotic behavior of solutions to the outflow problem for the compressible Navier-Stokes-Maxwell equations. Zbl 1499.35484
Yao, Huancheng; Zhu, Changjiang
1
2022
Blow-up time of strong solutions to a biological network formation model in high space dimensions. Zbl 1504.35089
Xu, Xiangsheng
1
2022
Heterogeneous multiscale methods for rough-wall laminar viscous flow. Zbl 1516.76051
Carney, Sean P.; Engquist, Björn
1
2022
Rarefied gas dynamics with external fields under specular reflection boundary condition. Zbl 07713230
Cao, Yunbai
1
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
1
2022
Global convergence of triangularized orthogonalization-free method. Zbl 1516.65028
Gao, Weiguo; Li, Yingzhou; Lu, Bichen
1
2022
Asymptotic behavior of solutions to the unipolar hydrodynamic model of semiconductors with time-dependent damping in bounded domain. Zbl 1524.35644
Li, Hailiang; Mei, Ming; Xu, Jianing
1
2022
Lake equations with an evanescent or emergent island. Zbl 1509.35222
Hientzsch, Lars Eric; Lacave, Christophe; Miot, Evelyne
1
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
1
2022
Design of a mode converter using thin resonant ligaments. Zbl 1483.35014
Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A.
1
2022
Sub-exponential convergence to steady-states for 1-D Euler-Poisson equations with time-dependent damping. Zbl 1492.35336
Sun, Hui; Mei, Ming; Zhang, Kaijun
1
2022
The Bramson correction for integro-differential Fisher-KPP equations. Zbl 1483.35028
Graham, Cole
1
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
1
2022
Lack of exact controllability of a higher-order BBM system. Zbl 1489.35245
Sierra Fonseca, Oscar A.; Pazoto, Ademir F.
1
2022
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations. Zbl 1492.35412
Huaroto, Gerardo; Neves, Wladimir
1
2022
Universal approximation of symmetric and anti-symmetric functions. Zbl 1510.41004
Han, Jiequn; Li, Yingzhou; Lin, Lin; Lu, Jianfeng; Zhang, Jiefu; Zhang, Linfeng
1
2022
Low Mach number limit of the full compressible MHD equations with Cattaneo’s heat transfer law. Zbl 1504.35345
Li, Fucai; Zhang, Shuxing
1
2022
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
26
2021
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Zbl 1479.35120
Tao, Youshan; Winkler, Michael
16
2021
Entropy admissibility of the limit solution for a nonlocal model of traffic flow. Zbl 1486.35292
Bressan, Alberto; Shen, Wen
13
2021
Complete monotonicity-preserving numerical methods for time fractional ODEs. Zbl 1477.65109
Li, Lei; Wang, Dongling
5
2021
Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag. Zbl 1484.34114
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi
5
2021
An MBO scheme for clustering and semi-supervised clustering of signed networks. Zbl 1479.90046
Cucuringu, Mihai; Pizzoferrato, Andrea; van Gennip, Yves
5
2021
Deep fictitious play for stochastic differential games. Zbl 1484.91034
Hu, Ruimeng
5
2021
Numerical approximations and error analysis of the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1476.65160
Bao, Xuelian; Zhang, Hui
5
2021
On the continuous time limit of ensemble square root filters. Zbl 1477.93163
Lange, Theresa; Stannat, Wilhelm
5
2021
Analysis of a cross-diffusion model for rival gangs interaction in a city. Zbl 1479.35087
Barbaro, Alethea B. T.; Rodriguez, Nancy; Yoldas, Havva; Zamponi, Nicola
4
2021
Nonlocal approaches for multilane traffic models. Zbl 1479.35563
Friedrich, Jan; Göttlich, Simone; Rossi, Elena
4
2021
Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. Zbl 1479.35110
Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng
4
2021
Analytically pricing variance swaps in commodity derivative markets under stochastic convenience yields. Zbl 1479.91413
Rujivan, Sanae
4
2021
Global well-posedness of the stochastic Camassa-Holm equation. Zbl 1479.35967
Chen, Yong; Duan, Jinqiao; Gao, Hongjun
4
2021
Unidirectional flocks in hydrodynamic Euler alignment system. II: Singular models. Zbl 1476.35204
Lear, Daniel; Shvydkoy, Roman
4
2021
Wave breaking for a model equation for shallow water waves of moderate amplitude. Zbl 1479.35153
Yang, Shaojie
4
2021
Kinetic and hydrodynamic models for the relativistic Cucker-Smale ensemble and emergent behaviors. Zbl 1475.35333
Ha, Seung-Yeal; Kim, Jeongho; Ruggeri, Tommaso
4
2021
On entropic solutions to conservation laws coupled with moving bottlenecks. Zbl 1479.35565
Liard, Thibault; Piccoli, Benedetto
3
2021
Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion. Zbl 1475.35322
Marty, Renaud
3
2021
Emergence of stochastic flocking for the discrete Cucker-Smale model with randomly switching topologies. Zbl 1476.34113
Dong, Jiu-Gang; Ha, Seung-Yeal; Jung, Jinwook; Kim, Doheon
3
2021
Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential. Zbl 1475.65074
Li, Qi; Yang, Xiaofeng; Mei, Liquan
3
2021
An improved small data theorem for the Vlasov-Poisson system. Zbl 1479.35117
Schaeffer, Jack
3
2021
Selection and mutation in a shifting and fluctuating environment. Zbl 1479.35092
Figueroa Iglesias, Susely; Mirrahimi, Sepideh
3
2021
Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers. Zbl 1490.35282
Qu, Aifang; Wang, Li; Yuan, Hairong
2
2021
Strong solutions to a modified Michelson-Sivashinsky equation. Zbl 1479.35225
Ibdah, Hussain
2
2021
A regularity criterion for the Navier-Stokes equations via one diagonal entry of the velocity gradient. Zbl 1475.35243
Skalák, Zdeněk
2
2021
Galerkin spectral methods for an elliptic optimal control problem with \(L^2\)-norm state constraint. Zbl 1475.65044
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing
2
2021
Global solutions of 3D tropical climate model with finite energy. Zbl 1497.35395
Wang, Fan; Yin, Silu
2
2021
Large time behavior and diffusion limit for a system of balance laws from chemotaxis in multi-dimensions. Zbl 1479.35106
Li, Tong; Wang, Dehua; Wang, Fang; Wang, Zhi-An; Zhao, Kun
2
2021
Complexity of randomized algorithms for underdamped Langevin dynamics. Zbl 1476.65009
Cao, Yu; Lu, Jianfeng; Wang, Lihan
2
2021
Existence and uniqueness for a stationary hybrid quantum hydrodynamical model with general pressure functional. Zbl 1497.35363
Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella
1
2021
An ellipsoidal statistical model for a monoatomic and a polyatomic gas mixture. Zbl 1490.76186
Brull, Stéphane
1
2021
Stationary solutions of outflow problem for full compressible Navier-Stokes-Poisson system: existence, stability and convergence rate. Zbl 1475.34049
Hong, Hakho; Kim, Jongsung; Choe, Kwang-Il
1
2021
Non-uniqueness of transonic shock solutions to non-isentropic Euler-Poisson system. Zbl 1479.35008
Duan, Ben; Zhang, Na
1
2021
Global dynamics below the ground states for NLS under partial harmonic confinement. Zbl 1475.35309
Ardila, Alex H.; Carles, Rémi
1
2021
Analysis of the role of convection in a system describing the tumor-induced angiogenesis. Zbl 1479.35103
Jin, Hai-Yang; Xu, Jiao
1
2021
Long time existence of the Boussinesq equation with large initial data in \(\mathbb{R}^n\). Zbl 1479.35108
Liu, Guowei; Sun, Wenlong
1
2021
Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations. Zbl 1497.35342
Chen, Yazhou; Hong, Hakho; Shi, Xiaoding
1
2021
The existence of compressible subsonic impinging jet flow in an arbitrary nozzle. Zbl 1490.35289
Wang, Xiaohui
1
2021
Interaction of the elementary waves for shallow water equations with discontinuous topography. Zbl 1479.35560
Zhang, Qinglong; Sheng, Wancheng; Zheng, Yuxi
1
2021
Exponential synchronization of Kuramoto oscillators with time delayed coupling. Zbl 1476.34094
Choi, Young-Pil; Pignotti, Cristina
1
2021
Asymptotic behavior of 3-D stochastic primitive equations of large-scale moist atmosphere with additive noise. Zbl 1476.35212
Wang, Lidan; Zhou, Guoli; Guo, Boling
1
2021
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158 Ha, Seung-Yeal
77 Carrillo de la Plata, José Antonio
74 Qi, Liqun
53 Majda, Andrew J.
49 Chung, Tsz Shun Eric
48 Jin, Shi
47 Wang, Cheng
46 Abdulle, Assyr
42 Choi, Young-Pil
41 Degond, Pierre
41 Efendiev, Yalchin R.
41 Winkler, Michael
40 Herty, Michael Matthias
39 Du, Qiang
38 Kurganov, Alexander
37 Kevrekidis, Ioannis George
37 Lu, Jianfeng
36 Liu, Chun
36 Liu, Hailiang
36 Yang, Xiaofeng
34 Burger, Martin
33 Wise, Steven M.
31 Chebotarev, Alexander Yurievich
30 Göttlich, Simone
30 He, Xiaoming
30 Jüngel, Ansgar
30 Masmoudi, Nader
29 E, Weinan
29 Mai Duc Thanh
29 Toscani, Giuseppe
29 Wang, Bixiang
28 Li, Yeping
28 Zanella, Mattia
27 Osher, Stanley Joel
27 Shen, Jie
27 Ying, Lexing
26 Grasselli, Maurizio
26 Kim, Jeongho
26 Pareschi, Lorenzo
26 Perthame, Benoît
26 Wang, Xiaoming
25 Jentzen, Arnulf
25 Liu, Jianguo
25 Souganidis, Panagiotis E.
24 Ju, Lili
24 Kim, Junseok
24 Liu, Yicheng
24 Stuart, Andrew M.
24 Wu, Jiahong
24 Yun, Seok-Bae
23 Bao, Weizhu
23 Leung, Wingtat
23 Titi, Edriss Saleh
23 Zhang, Xiongtao
22 Garcke, Harald
22 Ko, Dongnam
22 Wei, Yimin
21 Coclite, Giuseppe Maria
21 Kim, Doheon
21 Li, Zhuchun
21 Minion, Michael L.
21 Tadmor, Eitan
21 Vasseur, Alexis F.
21 Wang, Dehua
21 Wang, Xiao
21 Wu, Hao
21 Xu, Jie
21 Zhang, Jiwei
20 Chalons, Christophe
20 Chen, Wenbin
20 Cung The Anh
20 Fernández-Nieto, Enrique Domingo
20 Gunzburger, Max D.
20 Hauck, Cory D.
20 Li, Chaoqian
20 Li, Yaotang
20 Park, Hansol
20 Samaey, Giovanni
20 Tosin, Andrea
20 Tsai, Yen-Hsi Richard
20 Wang, Quan
20 Yang, Xu
20 Zhang, Mingji
19 Dimarco, Giacomo
19 Dolbeault, Jean
19 Duan, Jinqiao
19 Guo, Boling
19 Harlim, John
19 LeFloch, Philippe Gerard
19 Park, Jinyeong
19 Qian, Jianliang
19 Rocca, Elisabetta
19 Xin, Jack X.
19 Yang, Haizhao
19 Zhang, Pingwen
19 Zhang, Qian
18 Bellomo, Nicola
18 Berthon, Christophe
18 Cai, Yongyong
18 Engquist, Bjorn E.
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723 Journal of Computational Physics
406 Journal of Differential Equations
273 Journal of Scientific Computing
217 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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159 Multiscale Modeling & Simulation
156 SIAM Journal on Scientific Computing
148 Archive for Rational Mechanics and Analysis
145 Computer Methods in Applied Mechanics and Engineering
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136 Journal of Mathematical Physics
135 Kinetic and Related Models
129 Physica D
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117 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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61 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
59 SIAM Journal on Applied Dynamical Systems
56 Journal of Mathematical Biology
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51 Acta Applicandae Mathematicae
51 Communications in Partial Differential Equations
50 Science China. Mathematics
49 Communications in Nonlinear Science and Numerical Simulation
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46 Frontiers of Mathematics in China
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43 Physica A
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25 Advances in Difference Equations
24 Computational Mechanics
24 NoDEA. Nonlinear Differential Equations and Applications
24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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23 Proceedings of the American Mathematical Society
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23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
22 Journal of Dynamics and Differential Equations
22 Stochastics and Dynamics
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