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M\(^3\)AS. Mathematical Models & Methods in Applied Sciences

Short Title: Math. Models Methods Appl. Sci.
Publisher: World Scientific, Singapore
ISSN: 0218-2025; 1793-6314/e
Online: https://www.worldscientific.com/loi/m3as
Comments: Indexed cover-to-cover
Documents Indexed: 2,092 Publications (since 1991)
References Indexed: 1,713 Publications with 52,213 References.
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Latest Issues

30, No. 14 (2020)
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25, No. 14 (2015)
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24, No. 14 (2014)
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24, No. 9 (2014)
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24, No. 7 (2014)
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24, No. 5 (2014)
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23, No. 14 (2013)
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...and 228 more Volumes
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Authors

44 Bellomo, Nicola
27 Brezzi, Franco
20 Soler, Juan S.
19 Degond, Pierre
19 Ha, Seung-Yeal
17 Carrillo de la Plata, José Antonio
17 Schwab, Christoph
16 Beirão da Veiga, Lourenço
15 Takizawa, Kenji
15 Tezduyar, Tayfun E.
14 Ciarlet, Philippe Gaston
13 Markowich, Peter Alexander
13 Rajagopal, Kumbakonam Ramamani
13 Süli, Endre E.
12 Barrett, John W.
12 Fasano, Antonio
12 Jüngel, Ansgar
12 Kawashima, Shuichi
12 Russo, Alessandro
12 Schmeiser, Christian
11 Bazilevs, Yuri
11 Ciarlet, Patrick jun.
11 Payne, Lawrence Edward
10 Banasiak, Jacek
10 Tao, Youshan
10 Winkler, Michael
9 Babuška, Ivo
9 Bernardi, Christine
9 Klar, Axel
9 Lachowicz, Mirosław
8 Chaplain, Mark A. J.
8 De Angelis, Elena
8 Delitala, Marcello
8 Herty, Michael Matthias
8 Hughes, Thomas J. R.
8 Lenhart, Suzanne M.
8 Maday, Yvon
8 Mielke, Alexander
8 Nochetto, Ricardo Horacio
8 Oden, John Tinsley
8 Ortner, Christoph
8 Paolini, Maurizio
8 Piccoli, Benedetto
8 Stefanelli, Ulisse
8 Zuazua, Enrique
7 Bellouquid, Abdelghani
7 Bertozzi, Andrea Louise
7 Cancès, Eric
7 Choi, Young-Pil
7 Coquel, Frédéric
7 Feireisl, Eduard
7 Garcke, Harald
7 Knopoff, Damian A.
7 Le Bris, Claude
7 Li, Zhiping
7 Manzini, Gianmarco
7 Nieto, Juanjo
7 Nishibata, Shinya
7 Novotný, Antonín
7 Panasenko, Grigory P.
7 Pavarino, Luca Franco
7 Pinnau, René
7 Preziosi, Luigi
7 Raviart, Pierre-Arnaud
7 Sangalli, Giancarlo
7 Toscani, Giuseppe
7 Zhu, Changjiang
6 Arnold, Douglas Norman
6 Auricchio, Ferdinando
6 Boffi, Daniele
6 Bonnet-Ben Dhia, Anne-Sophie
6 Burman, Erik
6 Chapelle, Dominique
6 Colli, Pierluigi
6 Conti, Sergio
6 de Socio, Luciano M.
6 Dolbeault, Jean
6 Duan, Renjun
6 Ducomet, Bernard
6 Fabrizio, Mauro
6 Giovangigli, Vincent
6 Grasselli, Maurizio
6 Jabin, Pierre-Emmanuel
6 Joly, Patrick
6 Lovadina, Carlo
6 Málek, Josef
6 Mauser, Norbert Julius
6 Mikelić, Andro
6 Orenga, Pierre
6 Perthame, Benoît
6 Protopopescu, Vladimir A.
6 Pulvirenti, Mario
6 Quarteroni, Alfio M.
6 Rocca, Elisabetta
6 Schötzau, Dominik
6 Wohlmuth, Barbara I.
6 Wrzosek, Dariusz M.
6 Yang, Tong
6 Zhang, Kaijun
5 Agoshkov, Valeriĭ Ivanovich
...and 2,700 more Authors
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Fields

1,263 Partial differential equations (35-XX)
628 Fluid mechanics (76-XX)
560 Numerical analysis (65-XX)
396 Mechanics of deformable solids (74-XX)
372 Biology and other natural sciences (92-XX)
310 Statistical mechanics, structure of matter (82-XX)
195 Calculus of variations and optimal control; optimization (49-XX)
106 Optics, electromagnetic theory (78-XX)
93 Classical thermodynamics, heat transfer (80-XX)
92 Probability theory and stochastic processes (60-XX)
87 Ordinary differential equations (34-XX)
82 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
80 Integral equations (45-XX)
58 Operations research, mathematical programming (90-XX)
58 Systems theory; control (93-XX)
55 Operator theory (47-XX)
48 Quantum theory (81-XX)
44 Dynamical systems and ergodic theory (37-XX)
32 Geophysics (86-XX)
27 Mechanics of particles and systems (70-XX)
20 Functional analysis (46-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Approximations and expansions (41-XX)
14 Differential geometry (53-XX)
14 Information and communication theory, circuits (94-XX)
13 Computer science (68-XX)
11 General and overarching topics; collections (00-XX)
11 Real functions (26-XX)
11 Astronomy and astrophysics (85-XX)
10 Statistics (62-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral transforms, operational calculus (44-XX)
6 Convex and discrete geometry (52-XX)
5 Difference and functional equations (39-XX)
4 History and biography (01-XX)
4 Potential theory (31-XX)
4 Special functions (33-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,887 Publications have been cited 25,812 times in 16,033 Documents Cited by Year
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
369
2015
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
352
2013
Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113
Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G.
302
2006
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
178
1996
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
174
2008
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
167
2014
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
158
1994
Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492
Degond, Pierre; Motsch, Sébastien
154
2008
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
148
2010
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
138
2013
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
136
2005
Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system. Zbl 1094.92039
Chaplain, M. A. J.; Lolas, G.
129
2005
Coupled chemotaxis fluid model. Zbl 1191.92004
Lorz, Alexander
129
2010
A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005
Cañizo, J. A.; Carrillo, J. A.; Rosado, J.
124
2011
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
122
2013
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut; Garcke, Harald; Grün, Günther
120
2012
Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319
Droniou, Jerome
97
2014
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
95
2011
On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066
Rajagopal, K. R.
93
2007
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
93
2007
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142
Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
93
2010
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
91
1991
A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026
Humphrey, J. D.; Rajagopal, K. R.
88
2002
Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
88
2016
Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023
Hosono, Yuzo; Ilyas, Bilal
87
1995
Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023
Ruiz, David
86
2005
ALE-VMS and ST-VMS methods for computer modeling of wind-turbine rotor aerodynamics and fluid–structure interaction. Zbl 1404.76187
Bazilevs, Yuri; Hsu, Ming-Chen; Takizawa, Kenji; Tezduyar, Tayfun E.
85
2012
Space-time fluid-structure interaction methods. Zbl 1248.76118
Takizawa, Kenji; Tezduyar, Tayfun E.
84
2012
On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090
Vila, J. P.
82
1999
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
80
2012
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
79
2010
On the closure of mass balance models for tumor growth. Zbl 1016.92016
Ambrosi, D.; Preziosi, L.
78
2002
A statistical model of criminal behavior. Zbl 1180.35530
Short, M. B.; D’Orsogna, M. R.; Pasour, V. B.; Tita, G. E.; Brantingham, P. J.; Bertozzi, A. L.; Chayes, L. B.
78
2008
Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041
Bolley, François; Cañizo, José A.; Carrillo, José A.
78
2011
On fractional Choquard equations. Zbl 1323.35205
d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco
76
2015
Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059
Lankeit, Johannes
76
2016
General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024
Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge
75
2010
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
74
1997
A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172
Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo
74
2015
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
71
2014
Numerical approximations for a three-component Cahn-Hilliard phase-field model based on the invariant energy quadratization method. Zbl 1393.80003
Yang, Xiaofeng; Zhao, Jia; Wang, Qi; Shen, Jie
70
2017
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029
Bellomo, N.; Bellouquid, A.; Delitala, M.
67
2004
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
67
2013
A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo
66
2010
Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066
Szymańska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, Mirosław; Chaplain, Mark A. J.
65
2009
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
64
2005
Stability analysis for the virtual element method. Zbl 1378.65171
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro
63
2017
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
63
2007
Methods for FSI modeling of spacecraft parachute dynamics and cover separation. Zbl 1261.76013
Takizawa, Kenji; Montes, Darren; Fritze, Matthew; McIntyre, Spenser; Boben, Joseph; Tezduyar, Tayfun E.
63
2013
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
63
2013
ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling. Zbl 1296.76113
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Long, Christopher C.; Marsden, Alison L.; Schjodt, Kathleen
63
2014
Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.
62
2013
Multiscale space-time methods for thermo-fluid analysis of a ground vehicle and its tires. Zbl 1325.76139
Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi
62
2015
Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325
Arlotti, L.; Bellomo, N.; De Angelis, E.
61
2002
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
61
2012
Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P.
61
2007
\(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields: application to the Stokes equations with pressure boundary conditions. Zbl 1260.35101
Amrouche, Chérif; Seloula, Nour El Houda
61
2013
Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005
Málek, J.; Rajagopal, K. R.; Růžička, M.
60
1995
The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091
Degond, P.; Lucquin-Desreux, B.
60
1992
A posteriori error estimates for the finite element approximation of eigenvalue problems. Zbl 1072.65144
Durán, Ricardo G.; Padra, Claudio; Rodríguez, Rodolfo
59
2003
Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013
Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi
59
2008
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
58
2007
Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
58
2013
Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011
Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y.
58
2013
Space-time VMS method for flow computations with slip interfaces (ST-SI). Zbl 1329.76345
Takizawa, Kenji; Tezduyar, Tayfun E.; Mochizuki, Hiroki; Hattori, Hitoshi; Mei, Sen; Pan, Linqi; Montel, Kenneth
58
2015
Self-propelled interacting particle systems with roosting force. Zbl 1197.92052
Carrillo, José A.; Klar, Axel; Martin, Stephan; Tiwari, Sudarshan
57
2010
Mathematical methods and tools of kinetic theory towards modelling complex biological systems. Zbl 1093.82016
Bellouquid, Abdelghani; Delitala, Marcello
56
2005
A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111
Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas
56
2008
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136
Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele
56
2013
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
55
2004
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
55
2008
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo
55
2012
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
55
2014
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
54
2008
Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215
Schmuck, Markus
54
2009
Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428
Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas
53
2004
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054
Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan
53
2015
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
53
2006
The classical limit of a self-consistent quantum-Vlasov equation in 3D. Zbl 0772.35061
Markowich, Peter A.; Mauser, Norbert J.
52
1993
Some results on partial differential equations and Asian options. Zbl 1034.35166
Barucci, E.; Polidoro, S.; Vespri, V.
51
2001
A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
51
2013
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
51
2007
Eigenelements of a general aggregation-fragmentation model. Zbl 1201.35086
Doumic Jauffret, Marie; Gabriel, Pierre
51
2010
Space-time VMS methods for modeling of incompressible flows at high Reynolds numbers. Zbl 1261.76037
Takizawa, Kenji; Montes, Darren; McIntyre, Spenser; Tezduyar, Tayfun E.
51
2013
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
51
2006
A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Zbl 1018.65108
Gosse, Laurent
50
2001
A parallel solver for reaction-diffusion systems in computational electrocardiology. Zbl 1068.92024
Colli Franzone, Piero; Pavarino, Luca F.
50
2004
On the spatially homogeneous Landau equation for Maxwellian molecules. Zbl 0957.82029
Villani, C.
50
1998
Decay property of regularity-loss type and application to some nonlinear hyperbolic–elliptic system. Zbl 1108.35014
Hosono, Takafumi; Kawashima, Shuichi
50
2006
Sharp regularity coefficient estimates for complex-valued acoustic and elastic Helmholtz equations. Zbl 1134.35317
Cummings, Peter; Feng, Xiaobing
50
2006
On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061
Bellomo, N.; Delitala, M.; Coscia, V.
49
2002
Convergence of numerical schemes for parabolic equations arising in finance theory. Zbl 0822.65056
Barles, G.; Daher, Ch.; Romano, M.
48
1995
Computation of mean field equilibria in economics. Zbl 1193.91018
Lachapelle, Aime; Salomon, Julien; Turinici, Gabriel
48
2010
On the Oberbeck-Boussinesq approximation. Zbl 0883.76078
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R.
47
1996
Rectangular mixed finite elements for elasticity. Zbl 1077.74044
Arnold, Douglas N.; Awanou, Gerard
47
2005
Decay property of regularity-loss type and nonlinear effects for dissipative Timoshenko system. Zbl 1160.35346
Ide, Kentaro; Kawashima, Shuichi
47
2008
The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060
Bardos, Claude; Ukai, Seiji
47
1991
ALE-VMS formulation for stratified turbulent incompressible flows with applications. Zbl 1329.76050
Bazilevs, Y.; Korobenko, A.; Yan, J.; Pal, A.; Gohari, S. M. I.; Sarkar, S.
47
2015
Maximum entropy for reduced moment problems. Zbl 1012.44005
Junk, Michael
46
2000
Improved accuracy for locally one-dimensional methods for parabolic equations. Zbl 1012.65095
Douglas, Jim jun.; Kim, Seongjai
46
2001
The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171
Beirão da Veiga, L.; Dassi, F.; Vacca, G.
8
2020
Global radial renormalized solution to a producer-scrounger model with singular sensitivities. Zbl 1452.35215
Cao, Xinru
5
2020
Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121
Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F.
5
2020
Measure-valued opinion dynamics. Zbl 1434.35249
Pedraza, L.; Pinasco, J. P.; Saintier, N.
5
2020
Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. Zbl 1443.92058
Choi, Kyudong; Kang, Moon-Jin; Kwon, Young-Sam; Vasseur, Alexis F.
5
2020
Global generalized solutions to a forager-exploiter model with superlinear degradation and their eventual regularity properties. Zbl 1450.35138
Black, Tobias
4
2020
Global bounded solution of the higher-dimensional forager-exploiter model with/without growth sources. Zbl 1453.35171
Wang, Jianping; Wang, Mingxin
4
2020
Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution. Zbl 1444.35138
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe
4
2020
A unified multiscale vision of behavioral crowds. Zbl 1434.91046
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro
4
2020
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040
Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta
3
2020
Critical thresholds in one-dimensional damped Euler-Poisson systems. Zbl 1453.35145
Bhatnagar, Manas; Liu, Hailiang
3
2020
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
2
2020
A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276
Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica
2
2020
The Cauchy problem for an Oldroyd-B model in three dimensions. Zbl 1434.76104
Wang, Wenjun; Wen, Huanyao
2
2020
Multilevel approximation of Gaussian random fields: fast simulation. Zbl 1448.60110
Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph
2
2020
Adaptive isogeometric boundary element methods with local smoothness control. Zbl 07205673
Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan
2
2020
Coarse-graining via EDP-convergence for linear fast-slow reaction systems. Zbl 1454.60113
Mielke, Alexander; Stephan, Artur
2
2020
Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034
Perthame, Benoit; Sun, Weiran; Tang, Min; Yasuda, Shugo
1
2020
Asymptotic dynamics on a chemotaxis-Navier-Stokes system with nonlinear diffusion and inhomogeneous boundary conditions. Zbl 1452.35228
Wu, Chunyan; Xiang, Zhaoyin
1
2020
Brownian fluctuations of flame fronts with small random advection. Zbl 1450.35307
Henderson, Christopher; Souganidis, Panagiotis E.
1
2020
Construction of boundary conditions for hyperbolic relaxation approximations. I: The linearized Suliciu model. Zbl 1450.35166
Zhou, Yizhou; Yong, Wen-An
1
2020
From particles to firms: on the kinetic theory of climbing up evolutionary landscapes. Zbl 1445.82020
Bellomo, Nicola; Dosi, Giovanni; Knopoff, Damián A.; Virgillito, Maria Enrica
1
2020
A phase-field-based graded-material topology optimization with stress constraint. Zbl 1444.74047
Auricchio, Ferdinando; Bonetti, Elena; Carraturo, Massimo; Hömberg, Dietmar; Reali, Alessandro; Rocca, Elisabetta
1
2020
Global existence of weak solutions to the incompressible Vlasov-Navier-Stokes system coupled to convection-diffusion equations. Zbl 1450.35211
Boudin, Laurent; Michel, David; Moussa, Ayman
1
2020
On weak solutions to a dissipative Baer-Nunziato-type system for a mixture of two compressible heat conducting gases. Zbl 1450.35218
Kwon, Young-Sam; Novotny, Antonin; Cheng, C. H. Arthur
1
2020
Active particles methods and challenges in behavioral systems. Zbl 1454.35392
Bellomo, N.; Brezzi, F.; Soler, J.
1
2020
Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. Zbl 07265608
Ha, Seung-Yeal; Ko, Dongnam; Shim, Woojoo; Yu, Hui
1
2020
Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials. Zbl 1444.65064
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
1
2020
Asymptotic limit of a spatially-extended mean-field FitzHugh-Nagumo model. Zbl 1444.35139
Crevat, Joachim
1
2020
Doubly nonlinear stochastic evolution equations. Zbl 1451.35268
Scarpa, Luca; Stefanelli, Ulisse
1
2020
Convex integration solutions for the geometrically nonlinear two-well problem with higher Sobolev regularity. Zbl 1434.74090
Della Porta, Francesco; Rüland, Angkana
1
2020
On the wave turbulence theory for stratified flows in the ocean. Zbl 1442.35461
Gamba, Irene M.; Smith, Leslie M.; Tran, Minh-Binh
1
2020
Stability of the composite wave for compressible Navier-Stokes/Allen-Cahn system. Zbl 1442.35348
Luo, Ting; Yin, Haiyan; Zhu, Changjiang
1
2020
Element-splitting-invariant local-length-scale calculation in B-spline meshes for complex geometries. Zbl 1451.65140
Ueda, Yuki; Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E.
1
2020
Social climbing and Amoroso distribution. Zbl 1451.35222
Dimarco, Giacomo; Toscani, Giuseppe
1
2020
On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes phase-field model and its error analysis for the corresponding Cahn-Hilliard-Stokes case. Zbl 07345498
Li, Xiaoli; Shen, Jie
1
2020
Instability of the abstract Rayleigh-Taylor problem and applications. Zbl 1462.76070
Jiang, Fei; Jiang, Song; Zhan, Weicheng
1
2020
Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models. Zbl 07345504
Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Philo, Fadi
1
2020
Global boundedness and asymptotic behavior in a quasilinear attraction-repulsion chemotaxis model with nonlinear signal production and logistic-type source. Zbl 1466.35046
Ren, Guoqiang; Liu, Bin
1
2020
Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211
Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J.
37
2019
Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200
Tao, Youshan; Winkler, Michael
18
2019
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Zbl 1428.35612
Winkler, Michael
16
2019
Methods for computation of flow-driven string dynamics in a pump and residence time. Zbl 1425.76139
Kanai, Taro; Takizawa, Kenji; Tezduyar, Tayfun E.; Komiya, Kenji; Kaneko, Masayuki; Hirota, Kyohei; Nohmi, Motohiko; Tsuneda, Tomoki; Kawai, Masahito; Isono, Miho
15
2019
Space-time isogeometric flow analysis with built-in Reynolds-equation limit. Zbl 1425.76142
Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E.
15
2019
A stabilized ALE method for computational fluid-structure interaction analysis of passive morphing in turbomachinery. Zbl 1425.76134
Castorrini, Alessio; Corsini, Alessandro; Rispoli, Franco; Takizawa, Kenji; Tezduyar, Tayfun E.
13
2019
A multiscale view of nonlinear diffusion in biology: from cells to tissues. Zbl 1427.35291
Burini, D.; Chouhad, N.
10
2019
On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term. Zbl 1425.35149
Castro, Ángel; Córdoba, Diego; Lear, Daniel
10
2019
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions. Zbl 1414.35057
Moiola, Andrea; Spence, Euan A.
10
2019
Human behavior and lognormal distribution. A kinetic description. Zbl 1427.35280
Gualandi, Stefano; Toscani, Giuseppe
9
2019
Immersogeometric analysis of compressible flows with application to aerodynamic simulation of rotorcraft. Zbl 1425.35140
Xu, Fei; Bazilevs, Yuri; Hsu, Ming-Chen
8
2019
Computational analysis methods for complex unsteady flow problems. Zbl 1425.76128
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.
7
2019
Crystallization in the hexagonal lattice for ionic dimers. Zbl 1447.82032
Friedrich, Manuel; Kreutz, Leonard
7
2019
Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen. Zbl 1425.35196
Braukhoff, Marcel; Lankeit, Johannes
7
2019
The Jordan-Moore-Gibson-Thompson equation: well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time. Zbl 1427.35206
Kaltenbacher, Barbara; Nikolić, Vanja
7
2019
Learning interacting particle systems: diffusion parameter estimation for aggregation equations. Zbl 1412.65171
Huang, Hui; Liu, Jian-Guo; Lu, Jianfeng
7
2019
Regular solutions to the fractional Euler alignment system in the Besov spaces framework. Zbl 1411.35223
Danchin, Raphaël; Mucha, Piotr B.; Peszek, Jan; Wróblewski, Bartosz
7
2019
Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. Zbl 1411.35249
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
7
2019
Sharp error estimates for spline approximation: explicit constants, \(n\)-widths, and eigenfunction convergence. Zbl 1428.41010
Sande, Espen; Manni, Carla; Speleers, Hendrik
6
2019
Evolutionary dynamics of cooperation in a population with probabilistic corrupt enforcers and violators. Zbl 1428.91005
Liu, Linjie; Chen, Xiaojie; Szolnoki, Attila
6
2019
Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions. Zbl 1433.34064
Fang, Di; Ha, Seung-Yeal; Jin, Shi
6
2019
Space-time fractional diffusion in cell movement models with delay. Zbl 1411.92036
Estrada-Rodriguez, Gissell; Gimperlein, Heiko; Painter, Kevin J.; Stocek, Jakub
6
2019
Leader formation with mean-field birth and death models. Zbl 1430.35238
Albi, Giacomo; Bongini, Mattia; Rossi, Francesco; Solombrino, Francesco
5
2019
Superconvergent gradient recovery for virtual element methods. Zbl 1427.65360
Guo, Hailong; Xie, Cong; Zhao, Ren
5
2019
Analytical validation of the Young-Dupré law for epitaxially-strained thin films. Zbl 1427.74115
Davoli, Elisa; Piovano, Paolo
5
2019
Long-time behavior of non-local in time Fokker-Planck equations via the entropy method. Zbl 1411.35272
Kemppainen, Jukka; Zacher, Rico
5
2019
Geometry equilibration of crystalline defects in quantum and atomistic descriptions. Zbl 07119815
Chen, Huajie; Nazar, Faizan Q.; Ortner, Christoph
5
2019
Emergent behaviors of continuous and discrete thermomechanical Cucker-Smale models on general digraphs. Zbl 1464.34068
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
4
2019
Asymptotic behavior of solutions to a tumor angiogenesis model with chemotaxis-haptotaxis. Zbl 1427.35295
Pang, Peter Y. H.; Wang, Yifu
4
2019
Regularity and \(hp\) discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials. Zbl 1431.65209
Maday, Yvon; Marcati, Carlo
4
2019
Multilevel approximation of parametric and stochastic PDES. Zbl 1427.65386
Zech, Jakob; Dũng, Dinh; Schwab, Christoph
4
2019
On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions. Zbl 1411.35224
Carrillo, José A.; Wróblewska-Kamińska, Aneta; Zatorska, Ewelina
4
2019
Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Zbl 1418.35265
Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei
4
2019
Social dynamics models with time-varying influence. Zbl 1428.34069
McQuade, Sean; Piccoli, Benedetto; Duteil, Nastassia Pouradier
3
2019
Modeling and simulation of bridge-section buffeting response in turbulent flow. Zbl 1425.76137
Helgedagsrud, Tore A.; Bazilevs, Yuri; Mathisen, Kjell M.; Yan, Jinhui; Øseth, Ole A.
3
2019
Analysis of an atomistic model for anti-plane fracture. Zbl 1425.82026
Buze, Maciej; Hudson, Thomas; Ortner, Christoph
3
2019
An entropy minimization approach to second-order variational mean-field games. Zbl 07139235
Benamou, Jean-David; Carlier, Guillaume; Di Marino, Simone; Nenna, Luca
3
2019
Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. Zbl 1408.35070
Chen, Xiuqing; Jüngel, Ansgar
3
2019
Dynamics and control for multi-agent networked systems: a finite-difference approach. Zbl 1428.93017
Biccari, Umberto; Ko, Dongnam; Zuazua, Enrique
2
2019
Binary-fluid-solid interaction based on the Navier-Stokes-Korteweg equations. Zbl 1425.76148
Shokrpour Roudbari, M.; van Brummelen, E. H.
2
2019
Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra. Zbl 1425.76124
Ambartsumyan, Ilona; Khattatov, Eldar; Lee, Jeonghun J.; Yotov, Ivan
2
2019
Vanishing shear viscosity limit and boundary layer study for the planar MHD system. Zbl 1425.35162
Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu
2
2019
The 3D transient semiconductor equations with gradient-dependent and interfacial recombination. Zbl 1425.35097
Disser, K.; Rehberg, J.
2
2019
Emergent behaviors of the swarmalator model for position-phase aggregation. Zbl 1459.70030
Ha, Seung-Yeal; Jung, Jinwook; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao
2
2019
On the structure of limiting flocks in hydrodynamic Euler alignment models. Zbl 1428.92130
Leslie, Trevor M.; Shvydkoy, Roman
2
2019
Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation. Zbl 1425.35075
Fritz, Marvin; Lima, Ernesto A. B. F.; Nikolić, Vanja; Oden, J. Tinsley; Wohlmuth, Barbara
2
2019
Profile of a touch-down solution to a nonlocal MEMS model. Zbl 1425.35116
Duong, Giao Ky; Zaag, Hatem
2
2019
Minimal-time mean field games. Zbl 1428.91006
Mazanti, Guilherme; Santambrogio, Filippo
2
2019
A nonconforming Trefftz virtual element method for the Helmholtz problem. Zbl 1431.65218
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander
2
2019
Measure-valued solutions to size-structured population model of prey controlled by optimally foraging predator harvester. Zbl 1428.92088
Jabłoński, Jȩdrzej; Wrzosek, Dariusz
2
2019
On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models. Zbl 1425.35076
Fritz, Marvin; Lima, Ernesto A. B. F.; Tinsley Oden, J.; Wohlmuth, Barbara
2
2019
On well-posedness of Ericksen-Leslie’s parabolic-hyperbolic liquid crystal model in compressible flow. Zbl 1414.35168
Jiang, Ning; Luo, Yi-Long; Tang, Shaojun
2
2019
The global Cauchy problem for compressible Euler equations with a nonlocal dissipation. Zbl 1414.35155
Choi, Young-Pil
2
2019
A model for the evolution of highly reversible martensitic transformations. Zbl 1428.35591
Della Porta, Francesco
2
2019
Non-relativistic limit analysis of the Chandrasekhar-Thorne relativistic Euler equations with physical vacuum. Zbl 1428.35331
Mai, La-Su; Li, Hai-Liang; Marcati, Pierangelo
2
2019
Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth. Zbl 1425.35147
Bulíček, Miroslav; Kaplický, Petr; Pražák, Dalibor
1
2019
Three-dimensional flows of pore pressure-activated Bingham fluids. Zbl 1425.76015
Abbatiello, Anna; Los, Tomáš; Málek, Josef; Souček, Ondřej
1
2019
The self-similar solutions to full compressible Navier-Stokes equations without heat conductivity. Zbl 1425.35137
Liu, Xin; Yuan, Yuan
1
2019
On the field-induced transport of magnetic nanoparticles in incompressible flow: modeling and numerics. Zbl 1425.35151
Grün, G.; Weiß, P.
1
2019
Murray’s law for discrete and continuum models of biological networks. Zbl 1428.92029
Haskovec, Jan; Markowich, Peter; Pilli, Giulia
1
2019
Local and global solutions for a hyperbolic-elliptic model of chemotaxis on a network. Zbl 1425.35203
Guarguaglini, Francesca Romana; Papi, Marco; Smarrazzo, Flavia
1
2019
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Cited by 14,389 Authors

107 Ha, Seung-Yeal
91 Bellomo, Nicola
84 Beirão da Veiga, Lourenço
83 Carrillo de la Plata, José Antonio
82 Bazilevs, Yuri
81 Degond, Pierre
79 Winkler, Michael
72 Hughes, Thomas J. R.
67 Tezduyar, Tayfun E.
66 Takizawa, Kenji
65 Ciarlet, Philippe Gaston
57 Brezzi, Franco
54 Stefanelli, Ulisse
52 Schwab, Christoph
51 Mu, Chunlai
50 Perthame, Benoît
45 Buffa, Annalisa
45 Jüngel, Ansgar
45 Tao, Youshan
44 Yang, Xiaofeng
42 Choi, Young-Pil
42 Du, Qiang
41 Grasselli, Maurizio
41 Hayat, Tasawar
41 Quarteroni, Alfio M.
40 Russo, Alessandro
40 Sangalli, Giancarlo
39 Manzini, Gianmarco
39 Roubíček, Tomáš
38 Garcke, Harald
38 Reali, Alessandro
37 Panasenko, Grigory P.
36 Lovadina, Carlo
36 Ruiz-Baier, Ricardo
35 Banasiak, Jacek
35 Li, Yeping
35 Neff, Patrizio
35 Rajagopal, Kumbakonam Ramamani
35 Süli, Endre E.
34 Calo, Victor Manuel
34 Ciarlet, Patrick jun.
34 Droniou, Jérôme
34 Hsu, Ming-Chen
34 Miranville, Alain M.
34 Nicaise, Serge
34 Wang, Zhian
33 Chaplain, Mark A. J.
33 Jin, Shi
33 Rocca, Elisabetta
33 Tan, Zhong
32 Amrouche, Chérif
32 Gwiazda, Piotr
32 Soler, Juan S.
31 Antonietti, Paola Francesca
31 Hérard, Jean-Marc
31 Markowich, Peter Alexander
31 Praetorius, Dirk
31 Toscani, Giuseppe
30 Gatica, Gabriel N.
30 Kawashima, Shuichi
30 Lachowicz, Mirosław
30 Zhao, Huijiang
29 Auricchio, Ferdinando
29 Delitala, Marcello
29 Di Pietro, Daniele Antonio
29 Mielke, Alexander
29 Pareschi, Lorenzo
29 Pavarino, Luca Franco
28 Abdulle, Assyr
28 Carstensen, Carsten
28 Casado-Díaz, Juan
28 Evans, John A.
28 Herty, Michael Matthias
28 Scacchi, Simone
28 Shu, Chi-Wang
28 Wang, Shu
27 Bulíček, Miroslav
27 Bürger, Raimund
27 Colli, Pierluigi
27 Fan, Jishan
27 Giani, Stefano
27 Mardare, Cristinel
27 Migórski, Stanisław
27 Yang, Tong
26 Conti, Sergio
26 Crouseilles, Nicolas
26 Cui, Shangbin
26 Ern, Alexandre
26 Klar, Axel
26 Rossi, Riccarda
26 Saad, Mazen
26 Tosin, Andrea
26 Vauchelet, Nicolas
26 Wohlmuth, Barbara I.
26 Zheng, Pan
26 Zhu, Changjiang
26 Zuazua, Enrique
25 Bernardi, Christine
25 Málek, Josef
25 Nazarov, Sergeĭ Aleksandrovich
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Cited in 615 Journals

930 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
852 Computer Methods in Applied Mechanics and Engineering
596 Journal of Computational Physics
572 Journal of Differential Equations
506 Journal of Mathematical Analysis and Applications
410 Computers & Mathematics with Applications
314 Journal of Computational and Applied Mathematics
279 Journal of Scientific Computing
268 Archive for Rational Mechanics and Analysis
267 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
257 Nonlinear Analysis. Real World Applications
230 Mathematical Methods in the Applied Sciences
218 ZAMP. Zeitschrift für angewandte Mathematik und Physik
218 Numerische Mathematik
216 SIAM Journal on Mathematical Analysis
206 Applied Mathematics and Computation
206 Mathematical and Computer Modelling
206 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
185 Mathematics of Computation
178 Applied Numerical Mathematics
175 SIAM Journal on Numerical Analysis
159 Journal of Mathematical Physics
156 Discrete and Continuous Dynamical Systems. Series B
154 Applicable Analysis
150 SIAM Journal on Scientific Computing
148 Comptes Rendus. Mathématique. Académie des Sciences, Paris
145 Computational Mechanics
144 Computers and Fluids
143 Journal de Mathématiques Pures et Appliquées. Neuvième Série
140 Discrete and Continuous Dynamical Systems
138 Applied Mathematics Letters
136 Journal of Statistical Physics
112 Calculus of Variations and Partial Differential Equations
112 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
106 Kinetic and Related Models
104 Numerical Methods for Partial Differential Equations
103 Journal of Theoretical Biology
101 Journal of Mathematical Biology
101 SIAM Journal on Applied Mathematics
98 Communications in Mathematical Physics
88 Multiscale Modeling & Simulation
87 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
86 Acta Applicandae Mathematicae
86 Journal of Mathematical Fluid Mechanics
82 International Journal for Numerical Methods in Engineering
82 Discrete and Continuous Dynamical Systems. Series S
81 Applied Mathematical Modelling
81 Journal of Elasticity
79 Communications in Partial Differential Equations
79 Journal of Nonlinear Science
78 Communications on Pure and Applied Analysis
76 International Journal of Engineering Science
72 Nonlinearity
68 Physica D
67 Advances in Computational Mathematics
64 Transport Theory and Statistical Physics
64 Networks and Heterogeneous Media
63 Journal of Functional Analysis
62 Continuum Mechanics and Thermodynamics
59 Bulletin of Mathematical Biology
58 Quarterly of Applied Mathematics
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57 Calcolo
55 NoDEA. Nonlinear Differential Equations and Applications
54 Journal of Evolution Equations
54 Journal of Hyperbolic Differential Equations
51 European Journal of Applied Mathematics
50 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
49 Mathematical Biosciences
49 SIAM Journal on Control and Optimization
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47 Computational Geosciences
45 Annali di Matematica Pura ed Applicata. Serie Quarta
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39 Engineering Analysis with Boundary Elements
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38 Abstract and Applied Analysis
38 Analysis and Applications (Singapore)
37 Science China. Mathematics
35 Inverse Problems
35 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
34 Numerical Algorithms
34 Journal of Dynamics and Differential Equations
33 Journal of the Mechanics and Physics of Solids
31 Chinese Annals of Mathematics. Series B
30 BIT
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29 Proceedings of the American Mathematical Society
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28 European Journal of Mechanics. B. Fluids
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40 General and overarching topics; collections (00-XX)
40 Difference and functional equations (39-XX)
40 Integral transforms, operational calculus (44-XX)
38 Astronomy and astrophysics (85-XX)
34 Measure and integration (28-XX)
27 Combinatorics (05-XX)
25 Relativity and gravitational theory (83-XX)
21 Functions of a complex variable (30-XX)
17 Special functions (33-XX)
12 Convex and discrete geometry (52-XX)
11 Several complex variables and analytic spaces (32-XX)
10 History and biography (01-XX)
7 Number theory (11-XX)
6 Topological groups, Lie groups (22-XX)
6 Abstract harmonic analysis (43-XX)
6 General topology (54-XX)
4 Manifolds and cell complexes (57-XX)
4 Mathematics education (97-XX)
3 Field theory and polynomials (12-XX)
3 Group theory and generalizations (20-XX)
2 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Algebraic topology (55-XX)

Citations by Year