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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.html
http://projecteuclid.org/cms
Documents Indexed: 1,315 Publications (since 2003)
all top 5

Latest Issues

20, No. 5 (2022)
20, No. 4 (2022)
20, No. 3 (2022)
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19, No. 8 (2021)
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12, No. 5 (2014)
12, No. 4 (2014)
12, No. 3 (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)
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10, No. 1 (2012)
9, No. 4 (2011)
9, No. 3 (2011)
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9, No. 1 (2011)
8, No. 4 (2010)
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8, No. 1 (2010)
7, No. 4 (2009)
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6, No. 4 (2008)
6, No. 3 (2008)
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6, No. 1 (2008)
5, No. 4 (2007)
5, No. 3 (2007)
5, No. 2 (2007)
5, No. 1 (2007)
1, Suppl. (2007)
4, No. 4 (2006)
4, No. 3 (2006)
4, No. 2 (2006)
...and 12 more Volumes
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Authors

20 Guo, Boling
20 Majda, Andrew J.
15 Ha, Seung-Yeal
15 Osher, Stanley Joel
13 E, Weinan
13 Liu, Chun
12 Tan, Zhong
12 Xin, Jack X.
11 Herty, Michael Matthias
11 Liu, Jianguo
11 Qi, Liqun
10 Engquist, Bjorn E.
10 Ying, Lexing
9 Lu, Jianfeng
9 Ryzhik, Lenya
9 Zhang, Pingwen
8 Burger, Martin
8 Jin, Shi
8 Li, Tong
8 Markowich, Peter Alexander
8 Tsai, Yen-Hsi Richard
8 Vanden-Eijnden, Eric
7 Chalons, Christophe
7 Degond, Pierre
7 Golse, François
7 Runborg, Olof
7 Wu, Jiahong
7 Yang, Xu
7 Zheng, Chunxiong
7 Zhou, Douglas
6 Bertozzi, Andrea Louise
6 Cai, David
6 Carrillo de la Plata, José Antonio
6 Du, Qiang
6 Garnier, Josselin
6 Heitzinger, Clemens
6 Jüngel, Ansgar
6 Kovačič, Gregor
6 Li, Tiejun
6 Liu, Hailiang
6 Pego, Robert L.
6 Perthame, Benoît
6 Piccoli, Benedetto
6 Stuart, Andrew M.
6 Yue, Xingye
6 Zhu, Changjiang
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 Han, Houde
5 Iyer, Gautam
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 Schmeiser, Christian
5 Seguin, Nicolas
5 Shi, Xiaoding
5 Tadmor, Eitan
5 Titi, Edriss Saleh
5 Toscani, Giuseppe
5 Tosin, Andrea
5 Zhang, Kaijun
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 Colombo, Rinaldo M.
4 Constantin, Peter
4 Dolbeault, Jean
4 Dong, Jiu-Gang
4 Emmrich, Etienne
4 Fatkullin, Ibrahim
4 Ferreira, Lucas Catão de Freitas
4 Goatin, Paola
4 Göttlich, Simone
4 Goudon, Thierry
4 Groppi, Maria
4 Guo, Chunxiao
4 Haskovec, Jan
4 Huang, Zhongyi
4 Illner, Reinhard
4 Jiang, Ning
4 Katsoulakis, Markos A.
4 Kukavica, Igor
4 LeFloch, Philippe Gerard
4 Luo, Tao
...and 1,826 more Authors
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Fields

878 Partial differential equations (35-XX)
445 Fluid mechanics (76-XX)
351 Numerical analysis (65-XX)
205 Statistical mechanics, structure of matter (82-XX)
181 Probability theory and stochastic processes (60-XX)
121 Biology and other natural sciences (92-XX)
81 Ordinary differential equations (34-XX)
71 Calculus of variations and optimal control; optimization (49-XX)
68 Dynamical systems and ergodic theory (37-XX)
61 Mechanics of deformable solids (74-XX)
57 Optics, electromagnetic theory (78-XX)
57 Operations research, mathematical programming (90-XX)
48 Geophysics (86-XX)
43 Information and communication theory, circuits (94-XX)
42 Quantum theory (81-XX)
40 Statistics (62-XX)
37 Systems theory; control (93-XX)
36 Integral equations (45-XX)
36 Classical thermodynamics, heat transfer (80-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Computer science (68-XX)
24 Operator theory (47-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
18 Mechanics of particles and systems (70-XX)
13 Global analysis, analysis on manifolds (58-XX)
12 Real functions (26-XX)
12 Approximations and expansions (41-XX)
11 Combinatorics (05-XX)
10 Difference and functional equations (39-XX)
9 Differential geometry (53-XX)
8 Integral transforms, operational calculus (44-XX)
8 Functional analysis (46-XX)
8 Relativity and gravitational theory (83-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
4 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Special functions (33-XX)
3 Astronomy and astrophysics (85-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 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

1,015 Publications have been cited 10,719 times in 8,516 Documents Cited by Year
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
355
2003
Perron-Frobenius theorem for nonnegative tensors. Zbl 1147.15006
Chang, Kung-Ching; Pearson, Kelly; Zhang, Tan
282
2008
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003
Ha, Seung-Yeal; Liu, Jian-Guo
239
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
162
2003
Kinetic models of opinion formation. Zbl 1195.91128
Toscani, Giuseppe
121
2006
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
111
2007
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.
109
2006
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
109
2010
Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Zbl 1192.34067
Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron
108
2009
Semi-implicit spectral deferred correction methods for ordinary differential equations. Zbl 1088.65556
Minion, Michael L.
98
2003
\(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
85
2014
The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\). Zbl 1149.35360
Calvez, Vincent; Corrias, Lucilla
83
2008
Mean field games and systemic risk. Zbl 1337.91031
Carmona, René; Fouque, Jean-Pierre; Sun, Li-Hsien
82
2015
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
74
2016
Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor
73
2004
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability. Zbl 1085.65513
Arnold, Anton; Ehrhardt, Matthias; Sofronov, Ivan
73
2003
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138
Lorz, Alexander
72
2012
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
69
2016
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
65
2009
Synchronization analysis of Kuramoto oscillators. Zbl 1301.34072
Dong, Jiu-Gang; Xue, Xiaoping
65
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
64
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
61
2012
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
60
2016
A stochastic epidemic model incorporating media coverage. Zbl 1344.92155
Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming
60
2016
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
57
2003
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
53
2005
On the complete phase synchronization for the Kuramoto model in the mean-field limit. Zbl 1345.37065
Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto
53
2015
On selection dynamics for continuous structured populations. Zbl 1176.45009
Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël
52
2008
Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060
Vanden-Eijnden, Eric
51
2003
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
51
2004
Gauge method for viscous incompressible flows. Zbl 1160.76329
E, Weinan; Liu, Jian-Guo
50
2003
PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092
Rätz, Andreas; Voigt, Axel
50
2006
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
49
2007
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
Kukavica, Igor; Vicol, Vlad
49
2013
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
49
2003
A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089
Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun
47
2011
Stability estimates for a class of Helmholtz problems. Zbl 1135.35323
Hetmaniuk, U.
47
2007
Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040
Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao
47
2010
Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008
Lei, Zhen; Liu, Chun; Zhou, Yi
44
2007
Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system. Zbl 1145.49015
Pinnau, René
44
2007
Well-posedness of 3D vortex sheets with surface tension. Zbl 1130.76016
Ambrose, David M.; Masmoudi, Nader
43
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
43
2009
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.
42
2004
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
42
2003
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
42
2004
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
41
2009
High-order entropy-based closures for linear transport in slab geometry. Zbl 1284.82050
Hauck, Cory D.
39
2011
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
39
2006
Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Zbl 1309.35071
Chen, Mingtao; Xu, Xinying; Zhang, Jianwen
39
2015
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
38
2011
Strong convergence of principle of averaging for multiscale stochastic dynamical systems. Zbl 1208.60057
Liu, Di
37
2010
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
37
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
36
2015
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
36
2015
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
35
2011
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
35
2015
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
35
2004
Analysis of the heterogeneous multiscale method for ordinary differential equations. Zbl 1088.65552
E, Weinan
34
2003
Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426
Ma, Tian; Wang, Shouhong
34
2007
Globally hyperbolic regularization of Grad’s moment system in one dimensional space. Zbl 1301.35083
Cai, Zhenning; Fan, Yuwei; Li, Ruo
34
2013
Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics. Zbl 1372.76115
Zhang, Jianwen; Zhao, Junning
33
2010
On the Cahn-Hilliard-Brinkman system. Zbl 1330.35313
Bosia, Stefano; Conti, Monica; Grasselli, Maurizio
33
2015
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
32
2016
Compressible Navier-Stokes equations with temperature dependent heat conductivity. Zbl 1315.35173
Pan, Ronghua; Zhang, Weizhe
32
2015
Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum. Zbl 1280.35096
Luo, Zhen
32
2012
Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309
Garcke, Harald; Lam, Kei Fong; Stinner, Björn
32
2014
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
32
2019
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
31
2010
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
31
2009
Infimal convolution regularizations with discrete \(\ell_1\)-type functionals. Zbl 1269.49063
Setzer, S.; Steidl, G.; Teuber, T.
30
2011
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
30
2015
Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems. Zbl 1115.60036
Givon, Dror; Kevrekidis, Ioannis G.; Kupferman, Raz
30
2006
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
30
2007
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
30
2008
Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
30
2010
Network models for supply chains. Zbl 1115.90008
Göttlich, S.; Herty, M.; Klar, A.
30
2005
Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344
Berthon, Christophe
29
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
28
2009
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.
28
2004
New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318
Hu, D.; Lelièvre, T.
28
2007
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135
Levant, Boris; Ramos, Fabio; Titi, Edriss S.
28
2010
Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315
Ma, Tian; Wang, Shouhong
28
2004
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
28
2005
Weak solutions for a bioconvection model related to Bacillus subtilis. Zbl 1302.35069
Vorotnikov, Dmitry
28
2014
Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Zbl 1358.35136
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan
27
2016
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
27
2009
Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038
Banaji, Murad; Craciun, Gheorghe
27
2009
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
27
2014
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
27
2018
On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029
Bellomo, Nicola; Bellouquid, Abdelghani
26
2015
\(L^1\)-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
26
2003
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
26
2005
Superpositions and higher order Gaussian beams. Zbl 1166.35345
Tanushev, Nicolay M.
26
2008
Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Zbl 1084.76020
Hong, Lan; Hunter, John K.
25
2003
S-ROCK methods for stiff Itô SDEs. Zbl 1162.60330
Abdulle, Assyr; Li, Tiejun
25
2008
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
25
2005
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
25
2014
Non incremental strategies based on separated representations: applications in computational rheology. Zbl 1281.76022
Ammar, A.; Normandin, M.; Daim, F.; González, D.; Cueto, E.; Chinesta, F.
24
2010
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.
24
2003
Stationary states of quadratic diffusion equations with long-range attraction. Zbl 1282.35203
Burger, Martin; Di Francesco, Marco; Franek, Marzena
24
2013
On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient. Zbl 07512731
Leitenmaier, Lena; Runborg, Olof
2
2022
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach. Zbl 07512742
Duan, Chenghua; Chen, Wenbin; Liu, Chun; Wang, Cheng; Yue, Xingye
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
1
2022
Design of a mode converter using thin resonant ligaments. Zbl 1483.35014
Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A.
1
2022
Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. Zbl 1489.65124
Shen, Jie; Zhang, Xiangxiong
1
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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
13
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Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Zbl 1479.35120
Tao, Youshan; Winkler, Michael
4
2021
Entropy admissibility of the limit solution for a nonlocal model of traffic flow. Zbl 1486.35292
Bressan, Alberto; Shen, Wen
4
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Analytically pricing variance swaps in commodity derivative markets under stochastic convenience yields. Zbl 1479.91413
Rujivan, Sanae
2
2021
Deep fictitious play for stochastic differential games. Zbl 1484.91034
Hu, Ruimeng
2
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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
2
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Selection and mutation in a shifting and fluctuating environment. Zbl 1479.35092
Figueroa Iglesias, Susely; Mirrahimi, Sepideh
2
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On the continuous time limit of ensemble square root filters. Zbl 1477.93163
Lange, Theresa; Stannat, Wilhelm
2
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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
2
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Nonlocal approaches for multilane traffic models. Zbl 1479.35563
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2
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Strong solutions to a modified Michelson-Sivashinsky equation. Zbl 1479.35225
Ibdah, Hussain
2
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Complete monotonicity-preserving numerical methods for time fractional ODEs. Zbl 1477.65109
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2
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Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers. Zbl 1484.35162
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1
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Mass-energy threshold dynamics for dipolar quantum gases. Zbl 1479.35775
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1
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On dissipative solutions to a simplified hyperbolic Ericksen-Leslie system of liquid crystals. Zbl 07440957
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1
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Emergence of stochastic flocking for the discrete Cucker-Smale model with randomly switching topologies. Zbl 1476.34113
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1
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Blowup for \(C^1\) solutions of compressible Euler equations with time-dependent damping. Zbl 07440970
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1
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Invariant domain preserving central schemes for nonlinear hyperbolic systems. Zbl 07440971
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1
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Dynkin game for callable-puttable convertible bonds: the valuation and sensitivity analysis. Zbl 1475.91355
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1
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Stability of equilibria to the model for non-isothermal electrokinetics. Zbl 1476.35201
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1
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An improved small data theorem for the Vlasov-Poisson system. Zbl 1479.35117
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1
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Unidirectional flocks in hydrodynamic Euler alignment system. II: Singular models. Zbl 1476.35204
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1
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Wave breaking for a model equation for shallow water waves of moderate amplitude. Zbl 1479.35153
Yang, Shaojie
1
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Complexity of randomized algorithms for underdamped Langevin dynamics. Zbl 1476.65009
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1
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Kinetic and hydrodynamic models for the relativistic Cucker-Smale ensemble and emergent behaviors. Zbl 1475.35333
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1
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Global solutions to rotating motion of isentropic flows with cylindrical symmetry. Zbl 1479.35702
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1
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An ellipsoidal statistical model for a monoatomic and a polyatomic gas mixture. Zbl 1490.76186
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1
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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
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1
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On entropic solutions to conservation laws coupled with moving bottlenecks. Zbl 1479.35565
Liard, Thibault; Piccoli, Benedetto
1
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Global dynamics below the ground states for NLS under partial harmonic confinement. Zbl 1475.35309
Ardila, Alex H.; Carles, Rémi
1
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Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion. Zbl 1475.35322
Marty, Renaud
1
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A regularity criterion for the Navier-Stokes equations via one diagonal entry of the velocity gradient. Zbl 1475.35243
Skalák, Zdeněk
1
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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
1
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Cauchy problem for thermoelastic plate equations with different damping mechanisms. Zbl 1472.35048
Chen, Wenhui
8
2020
Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations. Zbl 1437.65172
Feliu-Fabà, Jordi; Ho, Kenneth L.; Ying, Lexing
7
2020
2D tropical climate model with fractional dissipation and without thermal diffusion. Zbl 1439.35479
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan
7
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Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure. Zbl 1467.35317
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7
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Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum. Zbl 1467.35242
Gong, Huajun; Li, Jinkai; Liu, Xian-Gao; Zhang, Xiaotao
6
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Forward backward doubly stochastic differential equations and the optimal filtering of diffusion processes. Zbl 1458.60067
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5
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Global existence for Nernst-Planck-Navier-Stokes system in \(\mathbb{R}^n\). Zbl 1464.35186
Liu, Jian-Guo; Wang, Jinhuan
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Constraint energy minimizing generalized multiscale finite element method for dual continuum model. Zbl 1460.65119
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4
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Criteria for the \(a\)-contraction and stability for the piecewise-smooth solutions to hyperbolic balance laws. Zbl 1462.35198
Krupa, Sam G.
4
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An efficient and globally convergent algorithm for \(\ell_{p,q} - \ell_r\) model in group sparse optimization. Zbl 1436.49037
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3
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The Wasserstein distances between pushed-forward measures with applications to uncertainty quantification. Zbl 1457.60004
Sagiv, Amir
3
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Markov jump processes and collision-like models in the kinetic description of multi-agent systems. Zbl 1464.35168
Loy, Nadia; Tosin, Andrea
3
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On a nonlocal differential equation describing roots of polynomials under differentiation. Zbl 1467.35272
Granero-Belinchón, Rafael
3
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Models of nonlinear acoustics viewed as an approximation of the Navier-Stokes and Euler compressible isentropic systems. Zbl 1467.35239
Dekkers, Adrien; Rozanova-Pierrat, Anna
3
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Intensity fluctuations in random waveguides. Zbl 1462.35477
Garnier, Josselin
3
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A mathematical model for Alzheimer’s disease: an approach via stochastic homogenization of the Smoluchowski equation. Zbl 1464.35361
Franchi, Bruno; Heida, Martin; Lorenzani, Silvia
3
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Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems. Zbl 1436.35017
Chalons, Christophe
2
2020
The local well-posedness to the density-dependent magnetic Bénard system with nonnegative density. Zbl 1460.35301
Zhong, Xin
2
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An open microscopic model of heat conduction: evolution and non-equilibrium stationary states. Zbl 1458.60103
Komorowski, Tomasz; Olla, Stefano; Simon, Marielle
2
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Qualitative analysis of an integrated chemotaxis-fluid model: global existence and extensibility criterion. Zbl 1461.35052
Fan, Jishan; Jing, Lulu; Nakamura, Gen; Zhao, Kun
2
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Global strong solutions to the Cauchy problem of 1D compressible MHD equations with no resistivity. Zbl 1462.35303
Li, Zilai; Wang, Huaqiao; Ye, Yulin
2
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Inviscid limit to the shock waves for the fractal Burgers equation. Zbl 1462.35200
Akopian, Sona; Kang, Moon-Jin; Vasseur, Alexis
2
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Seemingly stable chemical kinetics can be stable, marginally stable, or unstable. Zbl 1459.60104
Agazzi, Andrea; Mattingly, Jonathan C.
2
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Two-front solutions of the SQG equation and its generalizations. Zbl 1464.35227
Hunter, John K.; Shu, Jingyang; Zhang, Qingtian
2
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Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation. Zbl 1467.35318
Duong, Manh Hong; Jin, Bangti
2
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Sampling from rough energy landscapes. Zbl 1466.65010
Plecháč, Petr; Simpson, Gideon
2
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Global strong solutions to compressible Navier-Stokes system with degenerate heat conductivity and density-depending viscosity. Zbl 1476.76060
Huang, Bin; Shi, Xiaoding; Sun, Ying
2
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Diagram notation for the derivation of hyperbolic moment systems. Zbl 1467.35233
Koellermeier, Julian; Fan, Yuwei
2
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Propagation of the mono-kinetic solution in the Cucker-Smale-type kinetic equations. Zbl 1464.35231
Kang, Moon-Jin; Kim, Jeongho
2
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Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation. Zbl 1464.35402
Shi, Binbin; Wang, Weike
2
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On a free boundary problem for an optimal investment problem with different interest rates. Zbl 1439.35575
Guan, Chonghu
1
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Optimal stopping via reinforced regression. Zbl 1440.60032
Belomestny, Denis; Schoenmakers, John; Spokoiny, Vladimir; Zharkynbay, Bakhyt
1
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The relativistic Vlasov-Maxwell equations for strongly magnetized plasmas. Zbl 1439.35475
Cheverry, Christophe; Ibrahim, Slim
1
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Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation. Zbl 1440.60073
Feng, Yuanyuan; Gao, Tingran; Li, Lei; Liu, Jian-Guo; Lu, Yulong
1
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A remark on the contact wave for the 1-D compressible Navier-Stokes equations. Zbl 1439.35410
Yang, Dong Cheng
1
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Existence of mild solutions and regularity criteria of weak solutions to the viscoelastic Navier-Stokes equation with damping. Zbl 1439.35377
Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng
1
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On violent instability of a plasma-vacuum interface for an incompressible plasma flow and a nonzero displacement current in vacuum. Zbl 1462.35314
Trakhinin, Yuri
1
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A class of efficient spectral methods and error analysis for nonlinear Hamiltonian systems. Zbl 1460.65128
An, Jing; Cao, Waixiang; Zhang, Zhimin
1
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Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation. Zbl 1460.35210
Ansini, Nadia; Fagioli, Simone
1
2020
Existence of large solutions to the Landau-Lifshitz-Bloch equation. Zbl 1462.35377
Hamdache, Kamel; Hamroun, Djamila
1
2020
Entropy supplementary conservation law for non-linear systems of PDEs with non-conservative terms: application to the modelling and analysis of complex fluid flows using computer algebra. Zbl 1460.35225
Cordesse, Pierre; Massot, Marc
1
2020
Emergent behaviors of the discrete-time Kuramoto model for generic initial configuration. Zbl 1457.37100
Zhang, Xiongtao; Zhu, Tingting
1
2020
Numerical study of compressible Navier-Stokes-Cahn-Hilliard system. Zbl 1466.65064
He, Qiaolin; Shi, Xiaoding
1
2020
Periodic traveling-wave solutions for regularized dispersive equations: sufficient conditions for orbital stability with applications. Zbl 1461.35089
Cristófani, Fabrício; Natali, Fábio; Pastor, Ademir
1
2020
High-order fully well-balanced Lagrange-projection scheme for shallow water. Zbl 1466.65095
Morales de Luna, Tomás; Castro Díaz, Manuel J.; Chalons, Christophe
1
2020
On the smooth solutions of Landau-Lifshitz-Bloch equations of antiferromagnets. Zbl 1462.35380
Wang, Yu-Feng; Guo, Bo-Ling; Zeng, Ming
1
2020
Rademacher complexity and the generalization error of residual networks. Zbl 1467.62158
E, Weinan; Ma, Chao; Wang, Qingcan
1
2020
Existence and stability of partially congested propagation fronts in a one-dimensional Navier-Stokes model. Zbl 1467.35238
Dalibard, Anne-Laure; Perrin, Charlotte
1
2020
A class of functional inequalities and their applications to fourth-order nonlinear parabolic equations. Zbl 1462.35104
Liu, Jian-Guo; Xu, Xiangsheng
1
2020
Stability of a composite wave of viscous contact wave and rarefaction waves for radiative and reactive gas without viscosity. Zbl 1467.35258
Gong, Guiqiong; He, Lin
1
2020
Global stability of large solutions to the 3-D compressible flow of liquid crystals. Zbl 1467.35255
Chen, Yuhui; Huang, Jingchi; Xu, Haiyan; Yao, Zheng-An
1
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Local well and ill posedness for the modified KdV equations in subcritical modulation spaces. Zbl 1467.35276
Chen, Mingjuan; Guo, Boling
1
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Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation. Zbl 1464.35230
Jiu, Quansen; Suo, Xiaoxiao; Wu, Jiahong; Yu, Huan
1
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Global weak solutions to inviscid Burgers-Vlasov equations. Zbl 1467.35265
Yu, Huimin; Cao, Wentao
1
2020
Vanishing viscosity limit for viscous Burgers-Vlasov equations. Zbl 1467.35254
Cao, Wentao; Wang, Teng
1
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Stability for two-dimensional plane Couette flow to the incompressible Navier-Stokes equations with Navier boundary conditions. Zbl 1468.35108
Ding, Shijin; Lin, Zhilin
1
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On the finite-size Lyapunov exponent for the Schrödinger operator with skew-shift potential. Zbl 1466.81019
Kielstra, Paul M.; Lemm, Marius
1
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Global classical solutions to 1D full compressible micropolar fluids with the Neumann/Robin boundary conditions and vacuum. Zbl 1467.35266
Zhang, Peixin; Zhu, Changjiang
1
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Thermodynamically consistent hydrodynamic models of multi-component compressible fluid flows. Zbl 1465.35334
Zhao, Xueping; Qian, Tiezheng; Wang, Qi
1
2020
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
32
2019
A priori estimates of the population risk for two-layer neural networks. Zbl 1427.68277
E, Weinan; Ma, Chao; Wu, Lei
19
2019
Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy-stable schemes. Zbl 1450.65090
Xu, Chen; Chen, Chuanjun; Yang, Xiaofeng; He, Xiaoming
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2019
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Cited by 9,177 Authors

141 Ha, Seung-Yeal
71 Qi, Liqun
64 Carrillo de la Plata, José Antonio
52 Majda, Andrew J.
45 Chung, Tsz Shun Eric
42 Abdulle, Assyr
39 Jin, Shi
38 Choi, Young-Pil
38 Wang, Cheng
36 Efendiev, Yalchin R.
35 Degond, Pierre
35 Du, Qiang
34 Herty, Michael Matthias
33 Liu, Hailiang
32 Kevrekidis, Ioannis George
31 Lu, Jianfeng
30 Kurganov, Alexander
29 Burger, Martin
29 Liu, Chun
29 Wang, Bixiang
29 Winkler, Michael
28 Chebotarev, Alexander Yurievich
28 E, Weinan
28 Yang, Xiaofeng
27 Jüngel, Ansgar
27 Mai Duc Thanh
27 Wise, Steven M.
25 He, Xiaoming
25 Masmoudi, Nader
25 Osher, Stanley Joel
25 Toscani, Giuseppe
25 Zanella, Mattia
24 Göttlich, Simone
24 Shen, Jie
24 Ying, Lexing
23 Liu, Jianguo
23 Perthame, Benoît
23 Yun, Seok-Bae
22 Pareschi, Lorenzo
22 Souganidis, Panagiotis E.
22 Stuart, Andrew M.
21 Kim, Doheon
21 Kim, Jeongho
21 Li, Yeping
21 Li, Zhuchun
21 Titi, Edriss Saleh
21 Zhang, Xiongtao
20 Bao, Weizhu
20 Grasselli, Maurizio
20 Ko, Dongnam
20 Li, Chaoqian
20 Li, Yaotang
20 Wang, Xiaoming
20 Wei, Yimin
20 Wu, Jiahong
20 Yang, Xu
19 Chalons, Christophe
19 Garcke, Harald
19 Hauck, Cory D.
19 Kim, Junseok
19 Leung, Wingtat
19 Minion, Michael L.
19 Park, Hansol
19 Qian, Jianliang
19 Tadmor, Eitan
19 Wang, Quan
19 Zhang, Jiwei
18 Cung The Anh
18 Dolbeault, Jean
18 Park, Jinyeong
18 Rocca, Elisabetta
18 Samaey, Giovanni
18 Vasseur, Alexis F.
18 Zhang, Pingwen
17 Duan, Jinqiao
17 Gunzburger, Max D.
17 Jentzen, Arnulf
17 LeFloch, Philippe Gerard
17 Süli, Endre E.
17 Xin, Jack X.
17 Zhang, Mingji
17 Zhang, Qian
17 Zheng, Chunxiong
16 Bellomo, Nicola
16 Berthon, Christophe
16 Bu, Changjiang
16 Chinesta, Francisco
16 Fernández-Nieto, Enrique Domingo
16 Han, Daozhi
16 Harlim, John
16 Ju, Lili
16 Lam, Kei Fong
16 Lowengrub, John Samuel
16 Markowich, Peter Alexander
16 Shim, Woojoo
16 Tan, Zhong
16 Tosin, Andrea
16 Tsai, Yen-Hsi Richard
16 Wang, Dehua
16 Wu, Hao
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603 Journal of Computational Physics
323 Journal of Differential Equations
236 Journal of Scientific Computing
194 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
186 Journal of Mathematical Analysis and Applications
163 Journal of Computational and Applied Mathematics
163 SIAM Journal on Mathematical Analysis
143 Multiscale Modeling & Simulation
131 Archive for Rational Mechanics and Analysis
127 SIAM Journal on Scientific Computing
122 Computer Methods in Applied Mechanics and Engineering
111 Kinetic and Related Models
108 Physica D
107 Discrete and Continuous Dynamical Systems
107 Discrete and Continuous Dynamical Systems. Series B
104 Applied Mathematics and Computation
101 Journal of Mathematical Physics
97 Journal of Statistical Physics
97 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
95 ZAMP. Zeitschrift für angewandte Mathematik und Physik
94 Applied Numerical Mathematics
93 Computers & Mathematics with Applications
89 SIAM Journal on Numerical Analysis
82 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
80 SIAM Journal on Applied Mathematics
79 Communications in Computational Physics
76 Nonlinear Analysis. Real World Applications
75 Nonlinearity
75 Linear Algebra and its Applications
72 Computers and Fluids
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71 Journal of Mathematical Fluid Mechanics
67 Journal of Fluid Mechanics
66 Numerische Mathematik
64 Applied Mathematics Letters
63 Journal of Nonlinear Science
58 Communications in Mathematical Physics
56 Mathematical Methods in the Applied Sciences
54 Networks and Heterogeneous Media
53 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
53 SIAM Journal on Applied Dynamical Systems
51 Communications on Pure and Applied Analysis
49 Journal de Mathématiques Pures et Appliquées. Neuvième Série
48 Communications on Pure and Applied Mathematics
48 SIAM Journal on Imaging Sciences
47 Inverse Problems
47 Calculus of Variations and Partial Differential Equations
46 Journal of Mathematical Biology
46 Frontiers of Mathematics in China
45 Communications in Partial Differential Equations
45 Science China. Mathematics
44 Applicable Analysis
43 Physica A
43 Acta Applicandae Mathematicae
40 Stochastic Processes and their Applications
40 Journal of Hyperbolic Differential Equations
39 Journal of Functional Analysis
39 Discrete and Continuous Dynamical Systems. Series S
35 Quarterly of Applied Mathematics
33 SIAM Journal on Control and Optimization
31 Numerical Algorithms
31 Journal of Evolution Equations
31 Acta Mathematica Scientia. Series B. (English Edition)
30 BIT
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30 The Annals of Applied Probability
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29 Mathematics and Computers in Simulation
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27 Linear and Multilinear Algebra
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24 Comptes Rendus. Mathématique. Académie des Sciences, Paris
24 Boundary Value Problems
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23 Applied Mathematical Modelling
23 NoDEA. Nonlinear Differential Equations and Applications
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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23 Research in the Mathematical Sciences
22 Computational Mechanics
21 Applied and Computational Harmonic Analysis
20 Analysis and Applications (Singapore)
20 Inverse Problems and Imaging
19 Foundations of Computational Mathematics
18 Proceedings of the American Mathematical Society
18 Journal of Dynamics and Differential Equations
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