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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: 2,212 Publications (since 1991)
References Indexed: 1,833 Publications with 58,106 References.
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Latest Issues

32, No. 9 (2022)
32, No. 8 (2022)
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...and 251 more Volumes
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Authors

50 Bellomo, Nicola
30 Brezzi, Franco
24 Soler, Juan S.
22 Ha, Seung-Yeal
20 Beirão da Veiga, Lourenço
19 Carrillo de la Plata, José Antonio
19 Degond, Pierre
17 Schwab, Christoph
15 Rajagopal, Kumbakonam Ramamani
15 Takizawa, Kenji
15 Tezduyar, Tayfun E.
14 Ciarlet, Philippe Gaston
14 Kawashima, Shuichi
13 Markowich, Peter Alexander
13 Süli, Endre E.
12 Barrett, John William
12 Fasano, Antonio
12 Jüngel, Ansgar
12 Russo, Alessandro
12 Schmeiser, Christian
12 Winkler, Michael
11 Bazilevs, Yuri
11 Ciarlet, Patrick jun.
11 Klar, Axel
11 Payne, Lawrence Edward
11 Tao, Youshan
10 Banasiak, Jacek
10 Nochetto, Ricardo Horacio
10 Piccoli, Benedetto
9 Babuška, Ivo
9 Bernardi, Christine
9 Chaplain, Mark A. J.
9 Choi, Young-Pil
9 Knopoff, Damian A.
9 Lachowicz, Mirosław
9 Manzini, Gianmarco
9 Marini, Luisa Donatella
9 Zuazua, Enrique
8 Bertozzi, Andrea Louise
8 De Angelis, Elena
8 Delitala, Marcello Edoardo
8 Feireisl, Eduard
8 Herty, Michael Matthias
8 Hughes, Thomas J. R.
8 Ko, Dongnam
8 Lenhart, Suzanne M.
8 Maday, Yvon
8 Mielke, Alexander
8 Nieto, Juanjo
8 Oden, John Tinsley
8 Ortner, Christoph
8 Paolini, Maurizio
8 Rocca, Elisabetta
8 Stefanelli, Ulisse
8 Toscani, Giuseppe
7 Bellouquid, Abdelghani
7 Buffa, Annalisa
7 Bulíček, Miroslav
7 Cancès, Eric
7 Colli, Pierluigi
7 Conti, Sergio
7 Coquel, Frédéric
7 Garcke, Harald
7 Gibelli, Livio
7 Jabin, Pierre-Emmanuel
7 Le Bris, Claude
7 Li, Zhiping
7 Lovadina, Carlo
7 Málek, Josef
7 Nishibata, Shinya
7 Novotný, Antonín
7 Panasenko, Grigory P.
7 Pareschi, Lorenzo
7 Pavarino, Luca Franco
7 Perthame, Benoît
7 Pinnau, René
7 Preziosi, Luigi
7 Quarteroni, Alfio M.
7 Raviart, Pierre-Arnaud
7 Sangalli, Giancarlo
7 Wang, Shu
7 Wrzosek, Dariusz M.
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 de Socio, Luciano M.
6 Dolbeault, Jean
6 Duan, Renjun
6 Ducomet, Bernard
6 Fabrizio, Mauro
6 Giovangigli, Vincent
6 Goudon, Thierry
6 Grasselli, Maurizio
6 Jin, Shi
6 Joly, Patrick
6 Mauser, Norbert Julius
...and 2,885 more Authors
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Fields

1,338 Partial differential equations (35-XX)
651 Fluid mechanics (76-XX)
603 Numerical analysis (65-XX)
414 Mechanics of deformable solids (74-XX)
411 Biology and other natural sciences (92-XX)
322 Statistical mechanics, structure of matter (82-XX)
209 Calculus of variations and optimal control; optimization (49-XX)
109 Optics, electromagnetic theory (78-XX)
100 Probability theory and stochastic processes (60-XX)
95 Classical thermodynamics, heat transfer (80-XX)
90 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
87 Ordinary differential equations (34-XX)
83 Integral equations (45-XX)
63 Operations research, mathematical programming (90-XX)
61 Systems theory; control (93-XX)
57 Operator theory (47-XX)
49 Quantum theory (81-XX)
45 Dynamical systems and ergodic theory (37-XX)
32 Geophysics (86-XX)
27 Mechanics of particles and systems (70-XX)
21 Functional analysis (46-XX)
16 Approximations and expansions (41-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Computer science (68-XX)
14 Differential geometry (53-XX)
14 Information and communication theory, circuits (94-XX)
12 General and overarching topics; collections (00-XX)
12 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 Combinatorics (05-XX)
4 Potential theory (31-XX)
4 Special functions (33-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-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

2,003 Publications have been cited 31,713 times in 19,176 Documents Cited by Year
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
515
2013
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.
513
2015
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.
347
2006
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
261
2014
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
223
1996
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
197
2008
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
178
2013
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
175
2013
Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492
Degond, Pierre; Motsch, Sébastien
173
2008
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
171
2010
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
164
2005
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
164
1994
Coupled chemotaxis fluid model. Zbl 1191.92004
Lorz, Alexander
159
2010
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut; Garcke, Harald; Grün, Günther
159
2012
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.
153
2005
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.
147
2016
A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005
Cañizo, J. A.; Carrillo, J. A.; Rosado, J.
143
2011
Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319
Droniou, Jerome
129
2014
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
118
2007
Stability analysis for the virtual element method. Zbl 1378.65171
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro
116
2017
On fractional Choquard equations. Zbl 1323.35205
d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco
115
2015
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
114
2011
Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059
Lankeit, Johannes
114
2016
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
111
2010
Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023
Hosono, Yuzo; Ilyas, Bilal
109
1995
On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066
Rajagopal, K. R.
106
2007
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
105
2017
Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041
Bolley, François; Cañizo, José A.; Carrillo, José A.
103
2011
A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172
Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo
101
2015
A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026
Humphrey, J. D.; Rajagopal, K. R.
100
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.
98
2008
On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090
Vila, J. P.
98
1999
General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024
Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge
96
2010
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
94
1991
Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023
Ruiz, David
93
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.
93
2012
Space-time fluid-structure interaction methods. Zbl 1248.76118
Takizawa, Kenji; Tezduyar, Tayfun E.
92
2012
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
92
2012
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
91
2010
On the closure of mass balance models for tumor growth. Zbl 1016.92016
Ambrosi, D.; Preziosi, L.
91
2002
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
90
2014
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.
88
2019
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
85
1997
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.
82
2009
A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo
80
2010
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
80
2013
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
79
2007
Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
77
2013
Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011
Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y.
76
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
75
2015
\(L^p\)-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
74
2013
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
73
2012
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.
73
2013
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.
72
2007
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
71
2004
Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013
Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi
71
2008
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
71
2014
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
70
2014
A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Zbl 1336.92038
Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa
70
2016
A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111
Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas
69
2008
The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091
Degond, P.; Lucquin-Desreux, B.
68
1992
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029
Bellomo, N.; Bellouquid, A.; Delitala, M.
68
2004
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
67
2013
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
67
2006
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
66
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.
66
1995
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
66
2018
A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
66
2013
Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.
66
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
66
2015
The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090
Antonietti, P. F.; Manzini, G.; Verani, M.
66
2018
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
65
2005
Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215
Schmuck, Markus
65
2009
Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325
Arlotti, L.; Bellomo, N.; De Angelis, E.
64
2002
A posteriori error estimates for the finite element approximation of eigenvalue problems. Zbl 1072.65144
Durán, Ricardo G.; Padra, Claudio; Rodríguez, Rodolfo
64
2003
Blood flow through a circular pipe with an impulsive pressure gradient. Zbl 1023.76060
Pontrelli, Giuseppe
63
2000
Eigenelements of a general aggregation-fragmentation model. Zbl 1201.35086
Doumic Jauffret, Marie; Gabriel, Pierre
62
2010
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
62
2008
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
62
2007
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
62
2015
A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Zbl 1018.65108
Gosse, Laurent
62
2001
Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
61
2010
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
61
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
61
2012
Self-propelled interacting particle systems with roosting force. Zbl 1197.92052
Carrillo, José A.; Klar, Axel; Martin, Stephan; Tiwari, Sudarshan
60
2010
The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060
Bardos, Claude; Ukai, Seiji
60
1991
Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428
Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas
60
2004
Decay property of regularity-loss type and application to some nonlinear hyperbolic–elliptic system. Zbl 1108.35014
Hosono, Takafumi; Kawashima, Shuichi
59
2006
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
59
2007
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
59
2006
On the Oberbeck-Boussinesq approximation. Zbl 0883.76078
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R.
59
1996
On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200
D’Angelo, C.; Quarteroni, A.
58
2008
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.
58
2013
On the spatially homogeneous Landau equation for Maxwellian molecules. Zbl 0957.82029
Villani, C.
58
1998
Predator-prey model with diffusion and indirect prey-taxis. Zbl 1349.92133
Tello, J. Ignacio; Wrzosek, Dariusz
58
2016
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 06761738
Tao, Youshan; Winkler, Michael
58
2017
Asymptotic behavior of global solutions to a model of cell invasion. Zbl 1213.35250
Liţcanu, Gabriela; Morales-Rodrigo, Cristian
56
2010
On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070
Li, Dong; Li, Tong; Zhao, Kun
56
2011
Some results on partial differential equations and Asian options. Zbl 1034.35166
Barucci, E.; Polidoro, S.; Vespri, V.
56
2001
Mathematical methods and tools of kinetic theory towards modelling complex biological systems. Zbl 1093.82016
Bellouquid, Abdelghani; Delitala, Marcello
56
2005
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M.
3
2022
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics. Zbl 1483.35243
Chave, Florent; Di Pietro, Daniele A.; Lemaire, Simon
2
2022
Elasto-plastic evolution of single crystals driven by dislocation flow. Zbl 07544557
Hudson, Thomas; Rindler, Filip
1
2022
Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1492.78005
Davoli, Elisa; Di Fratta, Giovanni; Praetorius, Dirk; Ruggeri, Michele
1
2022
Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433
Kaltenbacher, Barbara; Nikolić, Vanja
1
2022
Weak-strong uniqueness for energy-reaction-diffusion systems. Zbl 1491.35007
Hopf, Katharina
1
2022
Repulsive chemotaxis and predator evasion in predator-prey models with diffusion and prey-taxis. Zbl 1486.92175
Mishra, Purnedu; Wrzosek, Dariusz
1
2022
Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042
Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro
1
2022
Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation. Zbl 1485.65063
Alfonsi, Aurélien; Coyaud, Rafaël; Ehrlacher, Virginie
1
2022
Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: mean-field limit and convergence. Zbl 1485.35361
Ha, Seung-Yeal; Kang, Myeongju; Kim, Dohyun; Kim, Jeongho; Yang, Insoon
1
2022
Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka-Volterra competitive kinetics. Zbl 07423812
Ren, Guoqiang; Liu, Bin
12
2021
What is life? A perspective of the mathematical kinetic theory of active particles. Zbl 1480.92012
Bellomo, Nicola; Burini, Diletta; Dosi, Giovanni; Gibelli, Livio; Knopoff, Damian; Outada, Nisrine; Terna, Pietro; Virgillito, Maria Enrica
10
2021
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. Zbl 1473.92006
Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo
9
2021
A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations. Zbl 1478.65110
Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco
6
2021
The one-phase fractional Stefan problem. Zbl 1473.80010
del Teso, Félix; Endal, Jørgen; Vázquez, Juan Luis
6
2021
From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit. Zbl 1473.35570
Grassi, Sara; Pareschi, Lorenzo
6
2021
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains. Zbl 1480.35016
Höfer, Richard M.; Kowalczyk, Karina; Schwarzacher, Sebastian
5
2021
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of COVID-19 in Italy. Zbl 1478.92178
Bertaglia, Giulia; Pareschi, Lorenzo
5
2021
A kinetic theory approach for 2D crowd dynamics with emotional contagion. Zbl 1473.35584
Kim, Daewa; O’Connell, Kaylie; Ott, William; Quaini, Annalisa
5
2021
Equilibrium analysis of an immersed rigid leaflet by the virtual element method. Zbl 1490.74027
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.
5
2021
Model predictive control with random batch methods for a guiding problem. Zbl 1476.49038
Ko, Dongnam; Zuazua, Enrique
5
2021
Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain. Zbl 1481.35049
Choi, Young-Pil; Jung, Jinwook
4
2021
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. Zbl 1473.92007
Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan
4
2021
Disease contagion models coupled to crowd motion and mesh-free simulation. Zbl 1498.92188
Abdul Salam, Parveena Shamim; Bock, Wolfgang; Klar, Axel; Tiwari, Sudarshan
4
2021
Negligibility of haptotaxis effect in a chemotaxis-haptotaxis model. Zbl 07423866
Jin, Hai-Yang; Xiang, Tian
4
2021
A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems. Zbl 1473.65188
D’Elia, Marta; Gunzburger, Max; Vollmann, Christian
4
2021
On a nonlocal Cahn-Hilliard model permitting sharp interfaces. Zbl 1484.35352
Burkovska, Olena; Gunzburger, Max
3
2021
A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian province. Zbl 1481.92174
Zanella, Mattia; Bardelli, Chiara; Dimarco, Giacomo; Deandrea, Silvia; Perotti, Pietro; Azzi, Mara; Figini, Silvia; Toscani, Giuseppe
3
2021
A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh. Zbl 1478.65117
Cao, Shuhao; Chen, Long; Guo, Ruchi
3
2021
Linearized von Kármán theory for incompressible magnetoelastic plates. Zbl 1482.74109
Bresciani, Marco
3
2021
Global solvability and asymptotic stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production. Zbl 1481.35121
Dai, Feng; Liu, Bin
3
2021
A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 1491.35346
Rohde, Christian; von Wolff, Lars
3
2021
DG approach to large bending plate deformations with isometry constraint. Zbl 1473.65287
Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitrios
3
2021
Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces. Zbl 1483.35267
Carrillo, José A.; Choi, Young-Pil; Jung, Jinwook
3
2021
Asymptotic profile of a two-dimensional chemotaxis-Navier-Stokes system with singular sensitivity and logistic source. Zbl 1490.35045
Pang, Peter Y. H.; Wang, Yifu; Yin, Jingxue
3
2021
Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen-Cahn phase-field model. Zbl 1473.65247
Yang, Xiaofeng
3
2021
The curl-curl conforming virtual element method for the quad-curl problem. Zbl 1473.65325
Zhao, Jikun; Zhang, Bei
3
2021
A \(p\)-robust polygonal discontinuous Galerkin method with minus one stabilization. Zbl 1501.65107
Bertoluzza, Silvia; Perugia, Ilaria; Prada, Daniele
2
2021
Hybridization of the virtual element method for linear elasticity problems. Zbl 1480.65331
Dassi, Franco; Lovadina, Carlo; Visinoni, Michele
2
2021
Vorticity-stabilized virtual elements for the Oseen equation. Zbl 1480.65329
Beirão da Veiga, L.; Dassi, F.; Vacca, G.
2
2021
On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Zbl 1492.35152
Bulíček, Miroslav; Maringová, Erika; Málek, Josef
2
2021
Computing oscillatory solutions of the Euler system via \(\mathcal{K} \)-convergence. Zbl 1473.35421
Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; She, Bangwei; Wang, Yue
2
2021
Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. Zbl 1473.35551
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
2
2021
Geometric linearization of theories for incompressible elastic materials and applications. Zbl 1482.74035
Jesenko, Martin; Schmidt, Bernd
2
2021
Uniform-in-time error estimate of the random batch method for the Cucker-Smale model. Zbl 1492.92003
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon; Ko, Dongnam
2
2021
Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation. Zbl 1475.92218
Kim, Jeongho; Poyato, David; Soler, Juan
2
2021
Newtonian repulsion and radial confinement: convergence toward steady state. Zbl 1473.35544
Shu, Ruiwen; Tadmor, Eitan
2
2021
Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity. Zbl 1480.76167
Lattanzio, Corrado; Zhelyazov, Delyan
1
2021
Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. Zbl 1482.35277
Rocca, Elisabetta; Scarpa, Luca; Signori, Andrea
1
2021
On some smooth symmetric transonic flows with nonzero angular velocity and vorticity. Zbl 1490.76122
Weng, Shangkun; Xin, Zhouping; Yuan, Hongwei
1
2021
Control of COVID-19 outbreak using an extended SEIR model. Zbl 1498.92234
McQuade, Sean T.; Weightman, Ryan; Merrill, Nathaniel J.; Yadav, Aayush; Trélat, Emmanuel; Allred, Sarah R.; Piccoli, Benedetto
1
2021
Recent results and perspectives for virtual element methods. Zbl 1478.65112
Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D.
1
2021
A \(C^1\) virtual element method for an elliptic distributed optimal control problem with pointwise state constraints. Zbl 1478.65115
Brenner, Susanne C.; Sung, Li-Yeng; Tan, Zhiyu
1
2021
An \(L^p\) spaces-based mixed virtual element method for the two-dimensional Navier-Stokes equations. Zbl 1478.65125
Gatica, Gabriel N.; Sequeira, Filánder A.
1
2021
\(H(\mathrm{curl}^2)\)-conforming quadrilateral spectral element method for quad-curl problems. Zbl 1478.65137
Wang, Lixiu; Shan, Weikun; Li, Huiyuan; Zhang, Zhimin
1
2021
Statistical solutions of the incompressible Euler equations. Zbl 1473.35422
Lanthaler, S.; Mishra, S.; Parés-Pulido, C.
1
2021
On the optimality of the rock-salt structure among lattices with charge distributions. Zbl 1490.74033
Bétermin, Laurent; Faulhuber, Markus; Knüpfer, Hans
1
2021
Linear instability of \(Z\)-pinch in plasma: inviscid case. Zbl 1473.35436
Bian, Dongfen; Guo, Yan; Tice, Ian
1
2021
Global regularity for a 1D Euler-alignment system with misalignment. Zbl 1473.35452
Miao, Qianyun; Tan, Changhui; Xue, Liutang
1
2021
Transmission dynamics and quarantine control of COVID-19 in cluster community: a new transmission-quarantine model with case study for Diamond Princess. Zbl 1475.92162
Gao, Qingwu; Zhuang, Jun; Wu, Ting; Shen, Houcai
1
2021
Shape programming of a magnetic elastica. Zbl 1478.74067
Durastanti, Riccardo; Giacomelli, Lorenzo; Tomassetti, Giuseppe
1
2021
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods. Zbl 1473.65178
Cangiani, Andrea; Georgoulis, Emmanuil H.; Sutton, Oliver J.
1
2021
Individual-based Markov model of virus diffusion: comparison with COVID-19 incubation period, serial interval and regional time series. Zbl 1475.92161
Flandoli, Franco; La Fauci, Eleonora; Riva, Martina
1
2021
New primal and dual-mixed finite element methods for stable image registration with singular regularization. Zbl 07423813
Barnafi, Nicolás; Gatica, Gabriel N.; Hurtado, Daniel E.; Miranda, Willian; Ruiz-Baier, Ricardo
1
2021
Collective dynamics in science and society. Zbl 1485.35357
Bellomo, N.; Brezzi, F.
1
2021
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth. Zbl 1473.92021
Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta
1
2021
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system. Zbl 1477.35043
Duong, G. K.; Kavallaris, N. I.; Zaag, H.
1
2021
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
37
2020
The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171
Beirão da Veiga, L.; Dassi, F.; Vacca, G.
26
2020
A unified multiscale vision of behavioral crowds. Zbl 1434.91046
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro
23
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
18
2020
Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment. Zbl 1451.35225
Kim, Daewa; Quaini, Annalisa
17
2020
Convergence of a first-order consensus-based global optimization algorithm. Zbl 1467.90040
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
15
2020
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
14
2020
Instability of the abstract Rayleigh-Taylor problem and applications. Zbl 1462.76070
Jiang, Fei; Jiang, Song; Zhan, Weicheng
14
2020
Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039
Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe
14
2020
Global bounded solution of the higher-dimensional forager-exploiter model with/without growth sources. Zbl 1453.35171
Wang, Jianping; Wang, Mingxin
12
2020
Asymptotic dynamics on a chemotaxis-Navier-Stokes system with nonlinear diffusion and inhomogeneous boundary conditions. Zbl 1452.35228
Wu, Chunyan; Xiang, Zhaoyin
12
2020
Global radial renormalized solution to a producer-scrounger model with singular sensitivities. Zbl 1452.35215
Cao, Xinru
11
2020
Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution. Zbl 1444.35138
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe
11
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 1471.65106
Li, Xiaoli; Shen, Jie
11
2020
Global generalized solutions to a forager-exploiter model with superlinear degradation and their eventual regularity properties. Zbl 1450.35138
Black, Tobias
10
2020
Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121
Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F.
10
2020
Measure-valued opinion dynamics. Zbl 1434.35249
Pedraza, L.; Pinasco, J. P.; Saintier, N.
10
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.
10
2020
Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation. Zbl 1451.92065
Wang, Yulan
9
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
9
2020
Coarse-graining via EDP-convergence for linear fast-slow reaction systems. Zbl 1454.60113
Mielke, Alexander; Stephan, Artur
8
2020
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. Zbl 1451.65173
Di Pietro, Daniele A.; Droniou, Jérôme; Rapetti, Francesca
8
2020
The Cauchy problem for an Oldroyd-B model in three dimensions. Zbl 1434.76104
Wang, Wenjun; Wen, Huanyao
8
2020
Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials. Zbl 1444.65064
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
7
2020
Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models. Zbl 1471.65143
Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Philo, Fadi
7
2020
Adaptive isogeometric boundary element methods with local smoothness control. Zbl 07205673
Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan
7
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.
6
2020
A kinetic theory approach for modelling tumour and macrophages heterogeneity and plasticity during cancer progression. Zbl 1453.92072
Eftimie, R.; Gibelli, L.
6
2020
Critical thresholds in one-dimensional damped Euler-Poisson systems. Zbl 1453.35145
Bhatnagar, Manas; Liu, Hailiang
6
2020
Stability of the composite wave for compressible Navier-Stokes/Allen-Cahn system. Zbl 1442.35348
Luo, Ting; Yin, Haiyan; Zhu, Changjiang
6
2020
Nematic alignment of self-propelled particles: from particle to macroscopic dynamics. Zbl 1451.35218
Degond, Pierre; Merino-Aceituno, Sara
5
2020
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Zbl 1451.35226
Rodríguez, Nancy; Winkler, Michael
5
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
5
2020
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Cited by 16,927 Authors

134 Ha, Seung-Yeal
98 Bellomo, Nicola
98 Carrillo de la Plata, José Antonio
98 Winkler, Michael
94 Beirão da Veiga, Lourenço
86 Degond, Pierre
84 Bazilevs, Yuri
77 Hughes, Thomas J. R.
77 Tezduyar, Tayfun E.
76 Takizawa, Kenji
65 Ciarlet, Philippe Gaston
62 Yang, Xiaofeng
60 Brezzi, Franco
60 Schwab, Christoph
59 Mu, Chunlai
58 Manzini, Gianmarco
56 Perthame, Benoît
56 Stefanelli, Ulisse
55 Choi, Young-Pil
52 Buffa, Annalisa
51 Tao, Youshan
50 Jüngel, Ansgar
47 Reali, Alessandro
46 Du, Qiang
45 Droniou, Jérôme
45 Jin, Shi
45 Wang, Zhian
44 Grasselli, Maurizio
44 Panasenko, Grigory P.
44 Quarteroni, Alfio M.
43 Antonietti, Paola Francesca
43 Garcke, Harald
43 Sangalli, Giancarlo
42 Rocca, Elisabetta
42 Ruiz-Baier, Ricardo
41 Hayat, Tasawar
41 Roubíček, Tomáš
40 Lovadina, Carlo
40 Pareschi, Lorenzo
40 Russo, Alessandro
40 Tan, Zhong
39 Hsu, Ming-Chen
39 Miranville, Alain M.
38 Li, Yeping
38 Neff, Patrizio
38 Praetorius, Dirk
38 Rajagopal, Kumbakonam Ramamani
38 Scacchi, Simone
38 Süli, Endre E.
37 Banasiak, Jacek
37 Calo, Victor Manuel
37 Ciarlet, Patrick jun.
37 Soler, Juan S.
37 Wang, Shu
37 Zheng, Pan
36 Chaplain, Mark A. J.
36 Di Pietro, Daniele Antonio
36 Gatica, Gabriel N.
36 Liu, Bin
36 Toscani, Giuseppe
36 Zheng, Jiashan
35 Hérard, Jean-Marc
35 Herty, Michael Matthias
35 Marini, Luisa Donatella
34 Nicaise, Serge
34 Pavarino, Luca Franco
33 Amrouche, Chérif
33 Gómez, Héctor J.
33 Zhao, Huijiang
33 Zhu, Changjiang
32 Colli, Pierluigi
32 Ern, Alexandre
32 Gwiazda, Piotr
32 Kawashima, Shuichi
32 Piccoli, Benedetto
32 Shu, Chi-Wang
32 Wang, Liangchen
31 Carstensen, Carsten
31 Delitala, Marcello Edoardo
31 Lachowicz, Mirosław
31 Markowich, Peter Alexander
31 Mielke, Alexander
31 Zuazua, Enrique
30 Auricchio, Ferdinando
30 Bulíček, Miroslav
30 Conti, Sergio
30 Elaiw, Ahmed M.
30 Evans, John A.
30 Giani, Stefano
30 Mora, David
30 Wohlmuth, Barbara I.
29 Abdulle, Assyr
29 Casado-Díaz, Juan
29 Fan, Jishan
29 Kim, Dohyun
29 Klar, Axel
29 Saad, Mazen
29 Tachim Medjo, Theodore
29 Xu, Jinchao
29 Yang, Tong
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Cited in 666 Journals

1,020 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1,005 Computer Methods in Applied Mechanics and Engineering
747 Journal of Computational Physics
669 Journal of Differential Equations
567 Journal of Mathematical Analysis and Applications
477 Computers & Mathematics with Applications
354 Journal of Scientific Computing
352 Journal of Computational and Applied Mathematics
311 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
306 Nonlinear Analysis. Real World Applications
290 Archive for Rational Mechanics and Analysis
272 SIAM Journal on Mathematical Analysis
264 ZAMP. Zeitschrift für angewandte Mathematik und Physik
259 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
249 Numerische Mathematik
248 Applied Mathematics and Computation
230 Mathematical Methods in the Applied Sciences
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205 Discrete and Continuous Dynamical Systems. Series B
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200 SIAM Journal on Numerical Analysis
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197 Applicable Analysis
184 Computational Mechanics
177 SIAM Journal on Scientific Computing
173 Journal of Mathematical Physics
171 Applied Mathematics Letters
165 Computers and Fluids
161 Discrete and Continuous Dynamical Systems
153 Comptes Rendus. Mathématique. Académie des Sciences, Paris
149 Journal de Mathématiques Pures et Appliquées. Neuvième Série
146 Journal of Statistical Physics
137 Kinetic and Related Models
135 Calculus of Variations and Partial Differential Equations
122 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
119 SIAM Journal on Applied Mathematics
117 Journal of Mathematical Biology
115 Journal of Mathematical Fluid Mechanics
112 Communications on Pure and Applied Analysis
112 Journal of Theoretical Biology
107 Discrete and Continuous Dynamical Systems. Series S
104 Communications in Mathematical Physics
104 Numerical Methods for Partial Differential Equations
103 Acta Applicandae Mathematicae
101 Applied Mathematical Modelling
96 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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96 Multiscale Modeling & Simulation
94 Physica D
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85 Communications in Partial Differential Equations
84 Boundary Value Problems
84 Networks and Heterogeneous Media
83 Advances in Computational Mathematics
82 International Journal for Numerical Methods in Engineering
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77 European Journal of Applied Mathematics
76 Journal of Functional Analysis
72 Calcolo
72 Journal of Evolution Equations
70 Mathematics and Mechanics of Solids
68 Applied Mathematics and Optimization
68 NoDEA. Nonlinear Differential Equations and Applications
67 Communications in Nonlinear Science and Numerical Simulation
66 Bulletin of Mathematical Biology
66 Quarterly of Applied Mathematics
64 Transport Theory and Statistical Physics
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62 Continuum Mechanics and Thermodynamics
60 Journal of Fluid Mechanics
57 SIAM Journal on Control and Optimization
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52 Journal of Mathematical Sciences (New York)
51 Physica A
50 Mathematical Biosciences
50 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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48 Numerical Algorithms
46 Journal of Dynamics and Differential Equations
46 Engineering Analysis with Boundary Elements
45 Applications of Mathematics
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45 Science China. Mathematics
44 Asymptotic Analysis
44 Acta Mathematica Scientia. Series B. (English Edition)
44 Analysis and Applications (Singapore)
43 Computational Methods in Applied Mathematics
41 Journal of the Mechanics and Physics of Solids
40 Abstract and Applied Analysis
39 International Journal for Numerical Methods in Fluids
39 Meccanica
36 Computational and Applied Mathematics
36 Evolution Equations and Control Theory
36 Advances in Nonlinear Analysis
35 Inverse Problems
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68 Potential theory (31-XX)
51 Linear and multilinear algebra; matrix theory (15-XX)
50 Measure and integration (28-XX)
46 Integral transforms, operational calculus (44-XX)
44 General and overarching topics; collections (00-XX)
44 Astronomy and astrophysics (85-XX)
41 Difference and functional equations (39-XX)
31 Combinatorics (05-XX)
30 Functions of a complex variable (30-XX)
30 Relativity and gravitational theory (83-XX)
22 Special functions (33-XX)
16 Convex and discrete geometry (52-XX)
12 History and biography (01-XX)
11 Several complex variables and analytic spaces (32-XX)
8 Number theory (11-XX)
7 General topology (54-XX)
6 Topological groups, Lie groups (22-XX)
6 Abstract harmonic analysis (43-XX)
5 Manifolds and cell complexes (57-XX)
4 Mathematics education (97-XX)
3 Field theory and polynomials (12-XX)
3 Category theory; homological algebra (18-XX)
3 Group theory and generalizations (20-XX)
3 Sequences, series, summability (40-XX)
2 Mathematical logic and foundations (03-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