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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: Journal; Indexed cover-to-cover
Documents Indexed: 2,309 Publications (since 1991)
References Indexed: 1,930 Publications with 63,574 References.
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Latest Issues

33, No. 13 (2023)
33, No. 12 (2023)
33, No. 11 (2023)
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29, No. 8 (2019)
29, No. 7 (2019)
29, No. 6 (2019)
29, No. 5 (2019)
29, No. 4 (2019)
29, No. 3 (2019)
29, No. 2 (2019)
29, No. 1 (2019)
28, No. 14 (2018)
28, No. 13 (2018)
28, No. 12 (2018)
28, No. 11 (2018)
28, No. 10 (2018)
28, No. 9 (2018)
28, No. 8 (2018)
28, No. 7 (2018)
28, No. 6 (2018)
28, No. 5 (2018)
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27, No. 14 (2017)
27, No. 13 (2017)
27, No. 12 (2017)
27, No. 11 (2017)
27, No. 10 (2017)
27, No. 9 (2017)
27, No. 8 (2017)
27, No. 7 (2017)
27, No. 6 (2017)
27, No. 5 (2017)
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27, No. 3 (2017)
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27, No. 1 (2017)
26, No. 14 (2016)
26, No. 13 (2016)
26, No. 12 (2016)
26, No. 11 (2016)
...and 269 more Volumes
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Authors

54 Bellomo, Nicola
32 Brezzi, Franco
25 Ha, Seung-Yeal
25 Soler, Juan S.
21 Beirão da Veiga, Lourenço
20 Carrillo de la Plata, José Antonio
20 Degond, Pierre
19 Takizawa, Kenji
19 Tezduyar, Tayfun E.
18 Schwab, Christoph
15 Rajagopal, Kumbakonam Ramamani
14 Bazilevs, Yuri
14 Ciarlet, Philippe Gaston
14 Kawashima, Shuichi
14 Winkler, Michael
13 JĂĽngel, Ansgar
13 Klar, Axel
13 Markowich, Peter Alexander
13 SĂĽli, Endre E.
13 Tao, Youshan
12 Barrett, John William
12 Fasano, Antonio
12 Russo, Alessandro
12 Schmeiser, Christian
11 Ciarlet, Patrick jun.
11 Payne, Lawrence Edward
11 Piccoli, Benedetto
10 Banasiak, Jacek
10 Chaplain, Mark A. J.
10 Choi, Young-Pil
10 Feireisl, Eduard
10 Maday, Yvon
10 Nochetto, Ricardo Horacio
10 Toscani, Giuseppe
9 Babuška, Ivo
9 Bernardi, Christine
9 Bertozzi, Andrea Louise
9 Knopoff, Damian A.
9 Ko, Dongnam
9 Lachowicz, Mirosław
9 Manzini, Gianmarco
9 Marini, Luisa Donatella
9 Stefanelli, Ulisse
9 Zuazua, Enrique
8 De Angelis, Elena
8 Delitala, Marcello Edoardo
8 Garcke, Harald
8 Grasselli, Maurizio
8 Herty, Michael Matthias
8 Hughes, Thomas J. R.
8 Jabin, Pierre-Emmanuel
8 Lenhart, Suzanne M.
8 Mielke, Alexander
8 Nieto, Juanjo
8 Oden, John Tinsley
8 Ortner, Christoph
8 Paolini, Maurizio
8 Pareschi, Lorenzo
8 Perthame, Benoît
8 Rocca, Elisabetta
8 Sangalli, Giancarlo
7 Bellouquid, Abdelghani
7 Buffa, Annalisa
7 BulĂ­ÄŤek, Miroslav
7 Cancès, Eric
7 Colli, Pierluigi
7 Conti, Sergio
7 Coquel, Frédéric
7 Duan, Renjun
7 Gibelli, Livio
7 Jin, Shi
7 Le Bris, Claude
7 Li, Zhiping
7 Lovadina, Carlo
7 Málek, Josef
7 Nishibata, Shinya
7 NovotnĂ˝, AntonĂ­n
7 Panasenko, Grigory P.
7 Pavarino, Luca Franco
7 Pinnau, René
7 Preziosi, Luigi
7 Quarteroni, Alfio M.
7 Raviart, Pierre-Arnaud
7 RĹŻĹľiÄŤka, Michael
7 Surulescu, Christina
7 Wang, Shu
7 Wrzosek, Dariusz M.
7 Zhu, Changjiang
6 Arnold, Douglas Norman
6 Auricchio, Ferdinando
6 Bendahmane, Mostafa
6 Boffi, Daniele
6 Bonnet-Ben Dhia, Anne-Sophie
6 Burman, Erik
6 Chapelle, Dominique
6 de Socio, Luciano M.
6 Dolbeault, Jean
6 Ducomet, Bernard
6 Fabrizio, Mauro
6 Giovangigli, Vincent
...and 3,027 more Authors
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Fields

1,399 Partial differential equations (35-XX)
677 Fluid mechanics (76-XX)
636 Numerical analysis (65-XX)
433 Biology and other natural sciences (92-XX)
422 Mechanics of deformable solids (74-XX)
332 Statistical mechanics, structure of matter (82-XX)
212 Calculus of variations and optimal control; optimization (49-XX)
109 Probability theory and stochastic processes (60-XX)
109 Optics, electromagnetic theory (78-XX)
100 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
97 Classical thermodynamics, heat transfer (80-XX)
93 Ordinary differential equations (34-XX)
83 Integral equations (45-XX)
65 Operations research, mathematical programming (90-XX)
64 Systems theory; control (93-XX)
60 Operator theory (47-XX)
50 Quantum theory (81-XX)
48 Dynamical systems and ergodic theory (37-XX)
33 Geophysics (86-XX)
29 Mechanics of particles and systems (70-XX)
22 Functional analysis (46-XX)
16 Approximations and expansions (41-XX)
16 Differential geometry (53-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Computer science (68-XX)
15 Information and communication theory, circuits (94-XX)
14 General and overarching topics; collections (00-XX)
12 Real functions (26-XX)
11 Statistics (62-XX)
11 Astronomy and astrophysics (85-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral transforms, operational calculus (44-XX)
6 Convex and discrete geometry (52-XX)
5 Combinatorics (05-XX)
5 Potential theory (31-XX)
5 Difference and functional equations (39-XX)
4 History and biography (01-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)
3 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

2,111 Publications have been cited 37,336 times in 22,262 Documents Cited by Year
Basic principles of virtual element methods. Zbl 1416.65433
BeirĂŁo da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
680
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.
645
2015
Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113
Bazilevs, Y.; BeirĂŁo da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G.
383
2006
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
BeirĂŁo da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
345
2014
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
260
1996
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
217
2013
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
210
2008
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
207
2013
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut; Garcke, Harald; GrĂĽn, GĂĽnther
203
2012
Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162
BeirĂŁo da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
199
2016
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; BeirĂŁo da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
196
2010
Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492
Degond, Pierre; Motsch, SĂ©bastien
189
2008
Coupled chemotaxis fluid model. Zbl 1191.92004
Lorz, Alexander
182
2010
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
179
2005
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
173
1994
Stability analysis for the virtual element method. Zbl 1378.65171
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro
172
2017
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.
171
2005
A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005
Cañizo, J. A.; Carrillo, J. A.; Rosado, J.
163
2011
Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319
Droniou, Jerome
156
2014
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
144
2007
On fractional Choquard equations. Zbl 1323.35205
d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco
142
2015
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
141
2017
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.
135
2019
Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059
Lankeit, Johannes
132
2016
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
130
2011
A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172
Mora, David; Rivera, Gonzalo; RodrĂ­guez, Rodolfo
128
2015
Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023
Hosono, Yuzo; Ilyas, Bilal
125
1995
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
123
2010
On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066
Rajagopal, K. R.
122
2007
Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041
Bolley, François; Cañizo, José A.; Carrillo, José A.
122
2011
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.
119
2008
On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090
Vila, J. P.
114
1999
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
114
2014
General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024
Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge
112
2010
A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026
Humphrey, J. D.; Rajagopal, K. R.
112
2002
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; LĂ©cureux-Mercier, Magali
106
2012
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
104
2018
Space-time fluid-structure interaction methods. Zbl 1248.76118
Takizawa, Kenji; Tezduyar, Tayfun E.
103
2012
Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023
Ruiz, David
102
2005
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
101
2013
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.
101
2012
On the closure of mass balance models for tumor growth. Zbl 1016.92016
Ambrosi, D.; Preziosi, L.
99
2002
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.
99
2009
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
98
2010
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
97
1991
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
95
2007
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
95
2016
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
94
1997
Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011
Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y.
93
2013
A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo
92
2010
\(L^p\)-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
90
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
88
2015
Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
88
2013
The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090
Antonietti, P. F.; Manzini, G.; Verani, M.
87
2018
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 1516.35092
Tao, Youshan; Winkler, Michael
87
2017
The two-dimensional Keller-Segel system with singular sensitivity and signal absorption: global large-data solutions and their relaxation properties. Zbl 1383.35099
Winkler, Michael
85
2016
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; SĂĽli, E.
83
2004
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
83
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.
81
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.
81
2013
Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215
Schmuck, Markus
80
2009
Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013
Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi
80
2008
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
79
2015
Predator-prey model with diffusion and indirect prey-taxis. Zbl 1349.92133
Tello, J. Ignacio; Wrzosek, Dariusz
79
2016
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
78
2014
A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
78
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
77
2014
Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428
Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas
74
2004
The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091
Degond, P.; Lucquin-Desreux, B.
74
1992
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
74
2015
A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111
Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas
74
2008
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.
73
1995
On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200
D’Angelo, C.; Quarteroni, A.
73
2008
Critical thresholds in 1D Euler equations with non-local forces. Zbl 1356.35174
Carrillo, José A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui
73
2016
Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.
73
2013
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
72
2013
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
71
2005
The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060
Bardos, Claude; Ukai, Seiji
71
1991
The nonconforming virtual element method for plate bending problems. Zbl 1396.74098
Zhao, Jikun; Chen, Shaochun; Zhang, Bei
71
2016
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
70
2006
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
70
2006
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029
Bellomo, N.; Bellouquid, A.; Delitala, M.
69
2004
Hydrodynamic limit of the kinetic Cucker-Smale flocking model. Zbl 1309.35180
Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina
69
2015
Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
69
2010
A posteriori error estimates for the finite element approximation of eigenvalue problems. Zbl 1072.65144
Durán, Ricardo G.; Padra, Claudio; Rodríguez, Rodolfo
68
2003
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
68
2013
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo
67
2012
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
67
2008
Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325
Arlotti, L.; Bellomo, N.; De Angelis, E.
66
2002
On the Oberbeck-Boussinesq approximation. Zbl 0883.76078
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R.
66
1996
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076
Hu, Bingran; Tao, Y.
66
2016
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
66
2008
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with subcritical sensitivity. Zbl 1378.92010
Wang, Yulan
66
2017
Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038
Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos
65
2007
On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070
Li, Dong; Li, Tong; Zhao, Kun
65
2011
Well-posedness and exponential decay of the energy in the nonlinear Jordan-Moore-Gibson-Thompson equation arising in high intensity ultrasound. Zbl 1257.35131
Kaltenbacher, Barbara; Lasiecka, Irena; Pospieszalska, Maria K.
65
2012
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
64
2007
Some results on partial differential equations and Asian options. Zbl 1034.35166
Barucci, E.; Polidoro, S.; Vespri, V.
64
2001
An \(H^1\)-conforming virtual element for Darcy and Brinkman equations. Zbl 1457.65218
Vacca, Giuseppe
64
2018
Emergence of bi-cluster flocking for the Cucker-Smale model. Zbl 1359.92121
Cho, Junghee; Ha, Seung-Yeal; Huang, Feimin; Jin, Chunyin; Ko, Dongnam
64
2016
Generalized solution and eventual smoothness in a logarithmic Keller-Segel system for criminal activities. Zbl 1517.35229
Li, Bin; Xie, Li
6
2023
Immersed virtual element methods for electromagnetic interface problems in three dimensions. Zbl 1514.65164
Cao, Shuhao; Chen, Long; Guo, Ruchi
5
2023
On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. Zbl 1514.65123
Abgrall, RĂ©mi; Lukáčova-Medvid’ová, Mária; Ă–ffner, Philipp
3
2023
Pressure-relaxation limit for a one-velocity Baer-Nunziato model to a Kapila model. Zbl 1518.35542
Burtea, Cosmin; Crin-Barat, Timothée; Tan, Jin
2
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Entropy dissipation and propagation of chaos for the uniform reshuffling model. Zbl 1524.35655
Cao, Fei; Jabin, Pierre-Emmanuel; Motsch, Sebastien
2
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Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles. Zbl 1519.92040
Conte, Martina; Dzierma, Yvonne; Knobe, Sven; Surulescu, Christina
2
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A nonlinear bending theory for nematic LCE plates. Zbl 1519.74044
Bartels, Sören; Griehl, Max; Neukamm, Stefan; Padilla-Garza, David; Palus, Christian
2
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\(L^1\)-theory for Hele-Shaw flow with linear drift. Zbl 1518.35004
Igbida, Noureddine
2
2023
Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods. Zbl 1517.65106
Corti, Mattia; Antonietti, Paola F.; Dede’, Luca; Quarteroni, Alfio M.
2
2023
Human behavioral crowds review, critical analysis and research perspectives. Zbl 1517.90024
Bellomo, Nicola; Liao, Jie; Quaini, Annalisa; Russo, Lucia; Siettos, Constantinos
2
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Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions. Zbl 1523.35007
Ahn, Jaewook; Kang, Kyungkeun; Lee, Jihoon
2
2023
Global boundedness in a 2D chemotaxis-Navier-Stokes system with flux limitation and nonlinear production. Zbl 1523.35267
Wang, Wei
2
2023
Critical mass for Keller-Segel systems with supercritical nonlinear sensitivity. Zbl 1523.35032
Mao, Xuan; Li, Yuxiang
2
2023
Analyticity and \(hp\) discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. Zbl 1527.65121
Maday, Yvon; Marcati, Carlo
1
2023
On an elastic strain-limiting special Cosserat rod model. Zbl 1517.74059
Rajagopal, K. R.; Rodriguez, C.
1
2023
Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker-Planck-alignment model. Zbl 1522.35381
Choi, Young-Pil; Kim, Jeongho
1
2023
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Zbl 1518.35439
Tao, Youshan; Winkler, Michael
1
2023
A unified framework for Navier-Stokes Cahn-Hilliard models with non-matching densities. Zbl 1517.76074
ten Eikelder, M. F. P.; van der Zee, K. G.; Akkerman, I.; Schillinger, D.
1
2023
Uniqueness and uniform structural stability of Poiseuille flows in a periodic pipe with Navier boundary conditions. Zbl 1518.35302
Wang, Yun; Xie, Chunjing
1
2023
Consensus-based optimization via jump-diffusion stochastic differential equations. Zbl 1515.60198
Kalise, Dante; Sharma, Akash; Tretyakov, Michael V.
1
2023
Elastic stabilization of an intrinsically unstable hyperbolic flow-structure interaction on the 3D half-space. Zbl 1517.74046
Balakrishna, Abhishek; Lasiecka, Irena; Webster, Justin T.
1
2023
Control of the Stefan problem in a periodic box. Zbl 1519.93032
Geshkovski, Borjan; Maity, Debayan
1
2023
Bound-preserving finite element approximations of the Keller-Segel equations. Zbl 07701408
Badia, Santiago; Bonilla, Jesús; Gutiérrez-Santacreu, Juan Vicente
1
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The virtual element method for the 3D resistive magnetohydrodynamic model. Zbl 1514.76049
Beirão da Veiga, Lourenço; Dassi, Franco; Manzini, Gianmarci; Mascotto, Lorenzo
1
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A mean field game model of firm-level innovation. Zbl 07716173
Barker, Matt; Degond, Pierre; Martin, Ralf; Muûls, Mirabelle
1
2023
Convergence of a particle method for a regularized spatially homogeneous Landau equation. Zbl 1517.35230
Carrillo, José A.; Delgadino, Matias G.; Wu, Jeremy S. H.
1
2023
Fast and slow clustering dynamics of Cucker-Smale ensemble with internal oscillatory phases. Zbl 1524.70067
Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong
1
2023
Kinetic modeling of a leader-follower system in crowd evacuation with collective learning. Zbl 1517.35228
Liao, Jie; Ren, Yi’ang; Yan, Wenbin
1
2023
Modeling and numerical simulations of multilane vehicular traffic by active particles methods. Zbl 1516.35299
Zagour, M.
1
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Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications. Zbl 1517.65086
Kaltenbach, A.; RĹŻĹľiÄŤka, M.
1
2023
Variational multiscale method stabilization parameter calculated from the strain-rate tensor. Zbl 07722119
Takizawa, Kenji; Otoguro, Yuto; Tezduyar, Tayfun E.
1
2023
Adaptive isogeometric methods with \(C^1\) (truncated) hierarchical splines on planar multi-patch domains. Zbl 1517.65012
Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vázquez, Rafael
1
2023
Necessary and sufficient criteria for existence, regularity, and asymptotic stability of enhanced pullback attractors with applications to 3D primitive equations. Zbl 1522.35416
Wang, Renhai; Guo, Boling; Huang, Daiwen
1
2023
Existence of multi-spikes in the Keller-Segel model with logistic growth. Zbl 1523.35046
Kong, Fanze; Wei, Juncheng; Xu, Liangshun
1
2023
Global classical solvability and stabilization in a two-dimensional chemotaxis-fluid system with sub-logarithmic sensitivity. Zbl 1523.35264
Liu, Ji
1
2023
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 07745992
Wang, Yifu; Xu, Chi
1
2023
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.
42
2022
Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042
Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro
23
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Repulsive chemotaxis and predator evasion in predator-prey models with diffusion and prey-taxis. Zbl 1486.92175
Mishra, Purnedu; Wrzosek, Dariusz
10
2022
On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of two-phase incompressible flows. Zbl 07524187
Li, Xiaoli; Shen, Jie
8
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Interpolation and stability estimates for edge and face virtual elements of general order. Zbl 1497.65218
BeirĂŁo da Veiga, L.; Mascotto, L.; Meng, J.
7
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Error estimates of local energy regularization for the logarithmic Schrödinger equation. Zbl 1483.35168
Bao, Weizhu; Carles, RĂ©mi; Su, Chunmei; Tang, Qinglin
7
2022
Global weak solutions and absorbing sets in a chemotaxis-Navier-Stokes system with prescribed signal concentration on the boundary. Zbl 1487.35372
Black, Tobias; Winkler, Michael
7
2022
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics. Zbl 1516.74104
Shende, Shaunak; Behzadinasab, Masoud; Moutsanidis, Georgios; Bazilevs, Yuri
7
2022
Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1492.78005
Davoli, Elisa; Di Fratta, Giovanni; Praetorius, Dirk; Ruggeri, Michele
6
2022
Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433
Kaltenbacher, Barbara; Nikolić, Vanja
6
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Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media. Zbl 1497.65216
Meng, Jian; Mei, Liquan
6
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Approximation of surface diffusion flow: a second-order variational Cahn-Hilliard model with degenerate mobilities. Zbl 1492.74124
Bretin, Elie; Masnou, Simon; Sengers, Arnaud; Terii, Garry
5
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Virus models in complex frameworks: towards modeling space patterns of SARS-CoV-2 epidemics. Zbl 1518.35591
Burini, D.; Chouhad, N.
5
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Boundary layer mesh resolution in flow computation with the space-time variational multiscale method and isogeometric discretization. Zbl 1512.76055
Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E.
5
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Flow computation with the space-time isogeometric analysis and higher-order basis functions in time. Zbl 1512.76056
Liu, Yang; Takizawa, Kenji; Otoguro, Yuto; Kuraishi, Takashi; Tezduyar, Tayfun E.
5
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
4
2022
On a two-species chemotaxis system with indirect signal production and general competition terms. Zbl 1501.35048
Zheng, Pan; Xiang, Yuting; Xing, Jie
4
2022
A fast cardiac electromechanics model coupling the eikonal and the nonlinear mechanics equations. Zbl 1503.92017
Stella, Simone; Regazzoni, Francesco; Vergara, Christian; Dedé, Luca; Quarteroni, Alfio
4
2022
Kinetic modeling of coupled epidemic and behavior dynamics: the social impact of public policies. Zbl 1519.92268
Kontorovsky, Natalia LucĂ­a; Ferrari, Carlo Giambiagi; Pinasco, Juan Pablo; Saintier, Nicolas
4
2022
Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation. Zbl 1485.65063
Alfonsi, Aurélien; Coyaud, Rafaël; Ehrlacher, Virginie
3
2022
Elasto-plastic evolution of single crystals driven by dislocation flow. Zbl 1524.74087
Hudson, Thomas; Rindler, Filip
3
2022
Weak-strong uniqueness for energy-reaction-diffusion systems. Zbl 1491.35007
Hopf, Katharina
3
2022
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks. Zbl 1495.35170
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
3
2022
Normalized solutions with positive energies for a coercive problem and application to the cubic-quintic nonlinear Schrödinger equation. Zbl 1497.35434
Jeanjean, Louis; Lu, Sheng-Sen
3
2022
A kinetic modeling of crowd evacuation with several groups in complex venues. Zbl 1497.35473
Liao, Jie; Zhou, Liwen
3
2022
Boundedness and asymptotic stabilization in a two-dimensional Keller-Segel-Navier-Stokes system with sub-logistic source. Zbl 1517.35040
Dai, Feng; Xiang, Tian
3
2022
Tangential Navier-Stokes equations on evolving surfaces: analysis and simulations. Zbl 1514.35322
Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander
3
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On the mathematical theory of behavioral swarms emerging collective dynamics. Zbl 1515.92094
Bellomo, N.; Ha, S.-Y.; Outada, N.; Yoon, J.
3
2022
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises. Zbl 1504.90204
Ko, Dongnam; Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
2
2022
On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability). Zbl 1498.92146
Barril, Carles; Calsina, Àngel; Diekmann, Odo; Farkas, József Z.
2
2022
Existence and stability of symmetric and asymmetric patterns for the half-Laplacian Gierer-Meinhardt system in one-dimensional domain. Zbl 1497.35492
de Medeiros, Markus; Wei, Jun-Cheng; Yang, Wen
2
2022
On the stochastic singular Cucker-Smale model: well-posedness, collision-avoidance and flocking. Zbl 1490.60166
Huang, Qiao; Zhang, Xiongtao
2
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
A multi-agent approach to the impact of epidemic spreading on commercial activities. Zbl 1512.35583
Toscani, Giuseppe
2
2022
Asymptotic-preserving neural networks for multiscale hyperbolic models of epidemic spread. Zbl 1512.92094
Bertaglia, Giulia; Lu, Chuan; Pareschi, Lorenzo; Zhu, Xueyu
2
2022
Alternative SIAR models for infectious diseases and applications in the study of non-compliance. Zbl 1519.92242
Bongarti, Marcelo; Galvan, Luke Diego; Hatcher, Lawford; Lindstrom, Michael R.; Parkinson, Christian; Wang, Chuntian; Bertozzi, Andrea L.
2
2022
Coupling compartmental models with Markov chains and measure evolution equations to capture virus mutability. Zbl 1512.92124
Weightman, Ryan; Sbarra, Anthony; Piccoli, Benedetto
2
2022
A stochastic model of grain boundary dynamics: a Fokker-Planck perspective. Zbl 1524.74379
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi
2
2022
\(BV\) solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel. Zbl 1517.35093
Amadori, Debora; Christoforou, Cleopatra
2
2022
Isogeometric variational multiscale modeling of stably stratified flow over complex terrains. Zbl 07697948
Cen, Haoyang; Zhou, Qi; Korobenko, Artem
2
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Fluid-structure interaction modeling with nonmatching interface discretizations for compressible flow problems: computational framework and validation study. Zbl 1516.76052
Rajanna, Manoj R.; Johnson, Emily L.; Liu, Ning; Korobenko, Artem; Bazilevs, Yuri; Hsu, Ming-Chen
2
2022
Isogeometric large-eddy simulations of turbulent particle-laden flows. Zbl 07697953
Zhu, Qiming; Zhu, Minjiang; Yan, Jinhui
2
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Viscoelastic Cahn-Hilliard models for tumor growth. Zbl 1524.35659
Garcke, Harald; Kovács, Balázs; Trautwein, Dennis
2
2022
On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model. Zbl 1491.35072
Tu, Xinyu; Mu, Chunlai; Zheng, Pan
1
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Fast diffusion leads to partial mass concentration in Keller-Segel type stationary solutions. Zbl 1495.35108
Carrillo, J. A.; Delgadino, M. G.; Frank, R. L.; Lewin, M.
1
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Quantitative observability for the Schrödinger and Heisenberg equations: an optimal transport approach. Zbl 1490.35370
Golse, François; Paul, Thierry
1
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On the optimal control of propagation fronts. Zbl 1497.35083
Bressan, Alberto; Chiri, Maria Teresa; Salehi, Najmeh
1
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Existence analysis and numerical approximation for a second-order model of traffic with orderliness marker. Zbl 1498.35356
Andreianov, Boris; Sylla, Abraham
1
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Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection. Zbl 1504.74067
Conti, Sergio; Kohn, Robert V.; Misiats, Oleksandr
1
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Well-posedness and exponential decay for the Navier-Stokes equations of viscous compressible heat-conductive fluids with vacuum. Zbl 1498.35392
Lai, Suhua; Xu, Hao; Zhang, Jianwen
1
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Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect. Zbl 1498.35424
Kawashima, Shuichi; Nakasato, Ryosuke; Ogawa, Takayoshi
1
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Analysis-aware defeaturing: problem setting and a posteriori estimation. Zbl 1483.65197
Buffa, Annalisa; Chanon, Ondine; Vázquez, Rafael
1
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The synergy between two threats: disinformation and COVID-19. Zbl 1518.91198
Tórtura, Henrique A.; Fontanari, José F.
1
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Isogeometric discretization methods in computational fluid mechanics. Zbl 1512.76058
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.
1
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Well-posedness for SQG sharp fronts with unbounded curvature. Zbl 1512.35470
Gancedo, Francisco; Nguyen, Huy Q.; Patel, Neel
1
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Analysis of an alternative Navier-Stokes system: weak entropy solutions and a convergent numerical scheme. Zbl 1512.35449
Svärd, Magnus
1
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Erratum to: “Doubly nonlinear stochastic evolution equations”. Zbl 1514.35494
Scarpa, Luca; Stefanelli, Ulisse
1
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Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method. Zbl 1524.65012
Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; She, Bangwei; Yuan, Yuhuan
1
2022
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
27
2021
Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka-Volterra competitive kinetics. Zbl 1512.35091
Ren, Guoqiang; Liu, Bin
20
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
15
2021
From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit. Zbl 1473.35570
Grassi, Sara; Pareschi, Lorenzo
14
2021
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. Zbl 1473.92006
Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo
13
2021
Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain. Zbl 1481.35049
Choi, Young-Pil; Jung, Jinwook
13
2021
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88 Bazilevs, Yuri
85 Tezduyar, Tayfun E.
84 Hughes, Thomas J. R.
84 Takizawa, Kenji
74 Yang, Xiaofeng
68 Schwab, Christoph
67 Ciarlet, Philippe Gaston
65 Brezzi, Franco
65 Manzini, Gianmarco
65 Mu, Chunlai
64 Choi, Young-Pil
64 Stefanelli, Ulisse
63 Perthame, Benoît
57 Grasselli, Maurizio
56 Reali, Alessandro
56 Tao, Youshan
55 Buffa, Annalisa
54 Du, Qiang
54 Wang, Zhian
53 Antonietti, Paola Francesca
53 JĂĽngel, Ansgar
52 Droniou, JĂ©rĂ´me
50 Ruiz-Baier, Ricardo
49 Garcke, Harald
48 Quarteroni, Alfio M.
47 Panasenko, Grigory P.
47 Rocca, Elisabetta
46 Jin, Shi
46 Pareschi, Lorenzo
46 Zheng, Jiashan
46 Zheng, Pan
45 Miranville, Alain M.
45 Roubíček, Tomáš
45 Russo, Alessandro
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44 Sangalli, Giancarlo
44 Scacchi, Simone
43 Herty, Michael Matthias
43 Lovadina, Carlo
43 Neff, Patrizio
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42 Tan, Zhong
41 Calo, Victor Manuel
41 Hayat, Tasawar
41 Hsu, Ming-Chen
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41 SĂĽli, Endre E.
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40 Ciarlet, Patrick jun.
40 Gatica, Gabriel N.
40 Liu, Bin
39 HĂ©rard, Jean-Marc
39 Klar, Axel
39 Pavarino, Luca Franco
39 Piccoli, Benedetto
39 Zhu, Changjiang
38 Banasiak, Jacek
38 Chaplain, Mark A. J.
38 Colli, Pierluigi
38 Gwiazda, Piotr
38 Marini, Luisa Donatella
38 Mora, David
38 Soler, Juan S.
38 Wang, Shu
37 Wang, Liangchen
36 Amrouche, Chérif
36 Mielke, Alexander
36 Nicaise, Serge
36 Zhao, Huijiang
36 Zuazua, Enrique
35 Auricchio, Ferdinando
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35 GĂłmez, HĂ©ctor J.
35 Shu, Chi-Wang
34 Ern, Alexandre
34 Evans, John A.
34 Giani, Stefano
33 Elaiw, Ahmed M.
33 Feireisl, Eduard
33 Ren, Guoqiang
32 Carstensen, Carsten
32 Conti, Sergio
32 Fan, Jishan
32 Gunzburger, Max D.
32 Kawashima, Shuichi
32 Kim, Jeongho
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1,106 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
853 Journal of Computational Physics
773 Journal of Differential Equations
606 Journal of Mathematical Analysis and Applications
564 Computers & Mathematics with Applications
413 Journal of Scientific Computing
390 Journal of Computational and Applied Mathematics
351 SIAM Journal on Mathematical Analysis
341 Nonlinear Analysis. Real World Applications
334 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
333 Mathematical Methods in the Applied Sciences
311 Archive for Rational Mechanics and Analysis
311 ZAMP. Zeitschrift fĂĽr angewandte Mathematik und Physik
303 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
260 Applied Mathematics and Computation
257 Numerische Mathematik
253 Discrete and Continuous Dynamical Systems. Series B
246 SIAM Journal on Numerical Analysis
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209 Applicable Analysis
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187 Applied Mathematics Letters
182 Discrete and Continuous Dynamical Systems
171 Computers and Fluids
163 Calculus of Variations and Partial Differential Equations
162 Comptes Rendus. Mathématique. Académie des Sciences, Paris
159 Journal de Mathématiques Pures et Appliquées. Neuvième Série
157 Kinetic and Related Models
155 Journal of Statistical Physics
154 Numerical Methods for Partial Differential Equations
139 Nonlinearity
138 Communications on Pure and Applied Analysis
136 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
132 SIAM Journal on Applied Mathematics
132 Journal of Mathematical Fluid Mechanics
131 Journal of Mathematical Biology
125 Discrete and Continuous Dynamical Systems. Series S
118 Journal of Theoretical Biology
115 Communications in Mathematical Physics
115 Journal of Nonlinear Science
112 Acta Applicandae Mathematicae
111 Multiscale Modeling & Simulation
110 International Journal for Numerical Methods in Engineering
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106 Annales de l’Institut Henri PoincarĂ©. Analyse Non LinĂ©aire
106 Physica D
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99 Networks and Heterogeneous Media
98 Advances in Computational Mathematics
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64 Physica A
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60 Computational Geosciences
60 Acta Mathematica Scientia. Series B. (English Edition)
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325 Quantum theory (81-XX)
268 Geophysics (86-XX)
263 Functional analysis (46-XX)
223 Computer science (68-XX)
215 Mechanics of particles and systems (70-XX)
211 Approximations and expansions (41-XX)
202 Global analysis, analysis on manifolds (58-XX)
198 Real functions (26-XX)
158 Statistics (62-XX)
144 Differential geometry (53-XX)
133 Harmonic analysis on Euclidean spaces (42-XX)
112 Information and communication theory, circuits (94-XX)
82 Potential theory (31-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
60 General and overarching topics; collections (00-XX)
57 Measure and integration (28-XX)
52 Integral transforms, operational calculus (44-XX)
50 Difference and functional equations (39-XX)
48 Astronomy and astrophysics (85-XX)
42 Combinatorics (05-XX)
36 Functions of a complex variable (30-XX)
33 Relativity and gravitational theory (83-XX)
29 Special functions (33-XX)
24 Convex and discrete geometry (52-XX)
13 Several complex variables and analytic spaces (32-XX)
12 History and biography (01-XX)
12 Number theory (11-XX)
7 Abstract harmonic analysis (43-XX)
7 General topology (54-XX)
7 Manifolds and cell complexes (57-XX)
5 Topological groups, Lie groups (22-XX)
4 Mathematics education (97-XX)
3 Mathematical logic and foundations (03-XX)
3 Field theory and polynomials (12-XX)
3 Algebraic geometry (14-XX)
3 Category theory; homological algebra (18-XX)
3 Group theory and generalizations (20-XX)
3 Sequences, series, summability (40-XX)
2 Nonassociative rings and algebras (17-XX)
2 Algebraic topology (55-XX)
1 Geometry (51-XX)

Citations by Year