×

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: 2,319 Publications (since 1991)
References Indexed: 1,940 Publications with 64,331 References.
all top 5

Latest Issues

34, No. 1 (2024)
33, No. 14 (2023)
33, No. 13 (2023)
33, No. 12 (2023)
33, No. 11 (2023)
33, No. 10 (2023)
33, No. 9 (2023)
33, No. 8 (2023)
33, No. 7 (2023)
33, No. 6 (2023)
33, No. 5 (2023)
33, No. 4 (2023)
33, No. 3 (2023)
33, No. 2 (2023)
33, No. 1 (2023)
32, No. 14 (2022)
32, No. 13 (2022)
32, No. 12 (2022)
32, No. 11 (2022)
32, No. 10 (2022)
32, No. 9 (2022)
32, No. 8 (2022)
32, No. 7 (2022)
32, No. 6 (2022)
32, No. 5 (2022)
32, No. 4 (2022)
32, No. 3 (2022)
32, No. 2 (2022)
32, No. 1 (2022)
31, No. 14 (2021)
31, No. 13 (2021)
31, No. 12 (2021)
31, No. 11 (2021)
31, No. 10 (2021)
31, No. 9 (2021)
31, No. 8 (2021)
31, No. 7 (2021)
31, No. 6 (2021)
31, No. 5 (2021)
31, No. 4 (2021)
31, No. 3 (2021)
31, No. 2 (2021)
31, No. 1 (2021)
30, No. 14 (2020)
30, No. 13 (2020)
30, No. 12 (2020)
30, No. 11 (2020)
30, No. 10 (2020)
30, No. 9 (2020)
30, No. 8 (2020)
30, No. 7 (2020)
30, No. 6 (2020)
30, No. 5 (2020)
30, No. 4 (2020)
30, No. 3 (2020)
30, No. 2 (2020)
30, No. 1 (2020)
29, No. 13 (2019)
29, No. 12 (2019)
29, No. 11 (2019)
29, No. 10 (2019)
29, No. 9 (2019)
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)
28, No. 4 (2018)
28, No. 3 (2018)
28, No. 2 (2018)
28, No. 1 (2018)
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)
27, No. 4 (2017)
27, No. 3 (2017)
27, No. 2 (2017)
27, No. 1 (2017)
26, No. 14 (2016)
26, No. 13 (2016)
...and 271 more Volumes
all top 5

Authors

56 Bellomo, Nicola
33 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
20 Takizawa, Kenji
20 Tezduyar, Tayfun E.
18 Schwab, Christoph
15 Bazilevs, Yuri
15 Rajagopal, Kumbakonam Ramamani
14 Ciarlet, Philippe Gaston
14 Kawashima, Shuichi
14 Winkler, Michael
13 Jüngel, Ansgar
13 Klar, Axel
13 Markowich, Peter Alexander
13 Süli, 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 Manzini, Gianmarco
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 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 Quarteroni, Alfio M.
8 Rocca, Elisabetta
8 Sangalli, Giancarlo
7 Bellouquid, Abdelghani
7 Buffa, Annalisa
7 Bulíček, 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 Novotný, Antonín
7 Panasenko, Grigory P.
7 Pavarino, Luca Franco
7 Pinnau, René
7 Preziosi, Luigi
7 Raviart, Pierre-Arnaud
7 Růžička, 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 3,046 more Authors
all top 5

Fields

1,406 Partial differential equations (35-XX)
679 Fluid mechanics (76-XX)
638 Numerical analysis (65-XX)
435 Biology and other natural sciences (92-XX)
423 Mechanics of deformable solids (74-XX)
334 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)
102 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)
66 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)
24 Functional analysis (46-XX)
16 Approximations and expansions (41-XX)
16 Differential geometry (53-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 General and overarching topics; collections (00-XX)
15 Computer science (68-XX)
15 Information and communication theory, circuits (94-XX)
14 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 Measure and integration (28-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 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

2,131 Publications have been cited 38,479 times in 22,889 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.
708
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.
658
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.
390
2006
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
358
2014
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
266
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
223
2013
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
214
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
212
2012
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
211
2008
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.
207
2016
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
201
2010
Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492
Degond, Pierre; Motsch, Sébastien
191
2008
Coupled chemotaxis fluid model. Zbl 1191.92004
Lorz, Alexander
185
2010
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
183
2005
Stability analysis for the virtual element method. Zbl 1378.65171
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro
180
2017
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
178
1994
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.
176
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.
166
2011
Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319
Droniou, Jerome
162
2014
On fractional Choquard equations. Zbl 1323.35205
d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco
151
2015
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
148
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
146
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.
138
2019
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
135
2011
Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059
Lankeit, Johannes
133
2016
A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172
Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo
131
2015
Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023
Hosono, Yuzo; Ilyas, Bilal
130
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
128
2010
Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041
Bolley, François; Cañizo, José A.; Carrillo, José A.
126
2011
On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066
Rajagopal, K. R.
123
2007
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.
122
2008
General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024
Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge
117
2010
\(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul
117
2014
On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090
Vila, J. P.
116
1999
A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026
Humphrey, J. D.; Rajagopal, K. R.
114
2002
Virtual element methods on meshes with small edges or faces. Zbl 1393.65049
Brenner, Susanne C.; Sung, Li-Yeng
108
2018
A class of nonlocal models for pedestrian traffic. Zbl 1248.35213
Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali
107
2012
Space-time fluid-structure interaction methods. Zbl 1248.76118
Takizawa, Kenji; Tezduyar, Tayfun E.
105
2012
Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023
Ruiz, David
104
2005
On the closure of mass balance models for tumor growth. Zbl 1016.92016
Ambrosi, D.; Preziosi, L.
103
2002
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
101
2010
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
101
2016
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
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
101
2013
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
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
97
1991
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
95
1997
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
95
2007
Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011
Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y.
94
2013
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 1516.35092
Tao, Youshan; Winkler, Michael
94
2017
A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo
93
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
91
2013
The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090
Antonietti, P. F.; Manzini, G.; Verani, M.
91
2018
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
90
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 two-dimensional Keller-Segel system with singular sensitivity and signal absorption: global large-data solutions and their relaxation properties. Zbl 1383.35099
Winkler, Michael
86
2016
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
84
2004
Predator-prey model with diffusion and indirect prey-taxis. Zbl 1349.92133
Tello, J. Ignacio; Wrzosek, Dariusz
84
2016
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
84
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.
83
2013
Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215
Schmuck, Markus
82
2009
Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013
Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi
82
2008
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
82
2014
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
82
2015
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
81
2015
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
A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
79
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
A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111
Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas
76
2008
The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091
Degond, P.; Lucquin-Desreux, B.
76
1992
Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428
Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas
75
2004
The nonconforming virtual element method for plate bending problems. Zbl 1396.74098
Zhao, Jikun; Chen, Shaochun; Zhang, Bei
75
2016
On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200
D’Angelo, C.; Quarteroni, A.
75
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
75
2013
Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.
75
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.
74
1995
The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060
Bardos, Claude; Ukai, Seiji
74
1991
Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155
Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio
73
2010
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029
Bellomo, N.; Bellouquid, A.; Delitala, M.
73
2004
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
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
72
2005
Fokker-Planck equations in the modeling of socio-economic phenomena. Zbl 1362.35305
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe
72
2017
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo
72
2012
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
Hydrodynamic limit of the kinetic Cucker-Smale flocking model. Zbl 1309.35180
Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina
70
2015
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
70
2013
On the Oberbeck-Boussinesq approximation. Zbl 0883.76078
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R.
69
1996
Dynamics and pattern formation of a diffusive predator-prey model with predator-taxis. Zbl 1411.35171
Wu, Sainan; Wang, Jinfeng; Shi, Junping
69
2018
Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038
Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos
69
2007
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 inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
68
2008
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
67
2008
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076
Hu, Bingran; Tao, Y.
67
2016
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with subcritical sensitivity. Zbl 1378.92010
Wang, Yulan
67
2017
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Zbl 1380.92029
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel
67
2018
A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031
Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying
66
2018
A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Zbl 1018.65108
Gosse, Laurent
66
2001
Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325
Arlotti, L.; Bellomo, N.; De Angelis, E.
66
2002
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.
66
2012
Immersed virtual element methods for electromagnetic interface problems in three dimensions. Zbl 1514.65164
Cao, Shuhao; Chen, Long; Guo, Ruchi
6
2023
Generalized solution and eventual smoothness in a logarithmic Keller-Segel system for criminal activities. Zbl 1517.35229
Li, Bin; Xie, Li
6
2023
Human behavioral crowds review, critical analysis and research perspectives. Zbl 1517.90024
Bellomo, Nicola; Liao, Jie; Quaini, Annalisa; Russo, Lucia; Siettos, Constantinos
6
2023
On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. Zbl 1514.65123
Abgrall, Rémi; Lukáčova-Medvid’ová, Mária; Öffner, Philipp
3
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.
3
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.
3
2023
Variational multiscale method stabilization parameter calculated from the strain-rate tensor. Zbl 1529.76057
Takizawa, Kenji; Otoguro, Yuto; Tezduyar, Tayfun E.
3
2023
Existence of multi-spikes in the Keller-Segel model with logistic growth. Zbl 1523.35046
Kong, Fanze; Wei, Juncheng; Xu, Liangshun
3
2023
Global boundedness in a 2D chemotaxis-Navier-Stokes system with flux limitation and nonlinear production. Zbl 1523.35267
Wang, Wei
3
2023
Critical mass for Keller-Segel systems with supercritical nonlinear sensitivity. Zbl 1523.35032
Mao, Xuan; Li, Yuxiang
3
2023
Consensus-based optimization via jump-diffusion stochastic differential equations. Zbl 1515.60198
Kalise, Dante; Sharma, Akash; Tretyakov, Michael V.
2
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
2
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
2023
Entropy dissipation and propagation of chaos for the uniform reshuffling model. Zbl 1524.35655
Cao, Fei; Jabin, Pierre-Emmanuel; Motsch, Sebastien
2
2023
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
2023
A nonlinear bending theory for nematic LCE plates. Zbl 1519.74044
Bartels, Sören; Griehl, Max; Neukamm, Stefan; Padilla-Garza, David; Palus, Christian
2
2023
\(L^1\)-theory for Hele-Shaw flow with linear drift. Zbl 1518.35004
Igbida, Noureddine
2
2023
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
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
Ergodicity and long-time behavior of the random batch method for interacting particle systems. Zbl 1521.37097
Jin, Shi; Li, Lei; Ye, Xuda; Zhou, Zhennan
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
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
Time fractional gradient flows: theory and numerics. Zbl 1514.34110
Li, Wenbo; Salgado, Abner J.
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
2023
The virtual element method for the 3D resistive magnetohydrodynamic model. Zbl 1514.76049
Beirão da Veiga, Lourenço; Dassi, Franco; Manzini, Gianmarci; Mascotto, Lorenzo
1
2023
Global small solutions to the 3D compressible viscous non-resistive MHD system. Zbl 1527.35305
Wu, Jiahong; Zhai, Xiaoping
1
2023
Cross-diffusion models in complex frameworks from microscopic to macroscopic. Zbl 1522.35515
Burini, D.; Chouhad, N.
1
2023
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
2023
Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications. Zbl 1517.65086
Kaltenbach, A.; Růžička, M.
1
2023
Collective behaviors of stochastic agent-based models and applications to finance and optimization. Zbl 1517.34078
Ko, Dongnam; Ha, Seung-Yeal; Lee, Euntaek; Shim, Woojoo
1
2023
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem. Zbl 1517.65103
Henning, Patrick
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
A IETI-DP method for discontinuous Galerkin discretizations in isogeometric analysis with inexact local solvers. Zbl 1522.65244
Montardini, Monica; Sangalli, Giancarlo; Schneckenleitner, Rainer; Takacs, Stefan; Tani, Mattia
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 1530.35126
Wang, Yifu; Xu, Chi
1
2023
Analyticity and \(hp\) discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. Zbl 1527.65121
Maday, Yvon; Marcati, Carlo
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.
48
2022
Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042
Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro
27
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
11
2022
Repulsive chemotaxis and predator evasion in predator-prey models with diffusion and prey-taxis. Zbl 1486.92175
Mishra, Purnedu; Wrzosek, Dariusz
11
2022
On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of two-phase incompressible flows. Zbl 07524187
Li, Xiaoli; Shen, Jie
10
2022
Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433
Kaltenbacher, Barbara; Nikolić, Vanja
10
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
8
2022
Error estimates of local energy regularization for the logarithmic Schrödinger equation. Zbl 1483.35168
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin
8
2022
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.
7
2022
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.
7
2022
Interpolation and stability estimates for edge and face virtual elements of general order. Zbl 1497.65218
Beirão da Veiga, L.; Mascotto, L.; Meng, J.
7
2022
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
7
2022
Virus models in complex frameworks: towards modeling space patterns of SARS-CoV-2 epidemics. Zbl 1518.35591
Burini, D.; Chouhad, N.
6
2022
Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media. Zbl 1497.65216
Meng, Jian; Mei, Liquan
6
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
On a two-species chemotaxis system with indirect signal production and general competition terms. Zbl 1501.35048
Zheng, Pan; Xiang, Yuting; Xing, Jie
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
Tangential Navier-Stokes equations on evolving surfaces: analysis and simulations. Zbl 1514.35322
Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander
4
2022
Kinetic modeling of coupled epidemic and behavior dynamics: the social impact of public policies. Zbl 1519.92268
Kontorovsky, Natalia Lucía; Ferrari, Carlo Giambiagi; Pinasco, Juan Pablo; Saintier, Nicolas
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
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
4
2022
A kinetic modeling of crowd evacuation with several groups in complex venues. Zbl 1497.35473
Liao, Jie; Zhou, Liwen
4
2022
Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation. Zbl 1485.65063
Alfonsi, Aurélien; Coyaud, Rafaël; Ehrlacher, Virginie
3
2022
Asymptotic-preserving neural networks for multiscale hyperbolic models of epidemic spread. Zbl 1512.92094
Bertaglia, Giulia; Lu, Chuan; Pareschi, Lorenzo; Zhu, Xueyu
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
Isogeometric discretization methods in computational fluid mechanics. Zbl 1512.76058
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.
3
2022
Isogeometric variational multiscale modeling of stably stratified flow over complex terrains. Zbl 07697948
Cen, Haoyang; Zhou, Qi; Korobenko, Artem
3
2022
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
3
2022
Isogeometric large-eddy simulations of turbulent particle-laden flows. Zbl 07697953
Zhu, Qiming; Zhu, Minjiang; Yan, Jinhui
3
2022
Well-posedness for SQG sharp fronts with unbounded curvature. Zbl 1512.35470
Gancedo, Francisco; Nguyen, Huy Q.; Patel, Neel
3
2022
Viscoelastic Cahn-Hilliard models for tumor growth. Zbl 1524.35659
Garcke, Harald; Kovács, Balázs; Trautwein, Dennis
3
2022
On the mathematical theory of behavioral swarms emerging collective dynamics. Zbl 1515.92094
Bellomo, N.; Ha, S.-Y.; Outada, N.; Yoon, J.
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
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
3
2022
On the optimal control of propagation fronts. Zbl 1497.35083
Bressan, Alberto; Chiri, Maria Teresa; Salehi, Najmeh
3
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.
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
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
A multi-agent approach to the impact of epidemic spreading on commercial activities. Zbl 1512.35583
Toscani, Giuseppe
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
\(BV\) solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel. Zbl 1517.35093
Amadori, Debora; Christoforou, Cleopatra
2
2022
Analysis of an alternative Navier-Stokes system: weak entropy solutions and a convergent numerical scheme. Zbl 1512.35449
Svärd, Magnus
2
2022
Analysis-aware defeaturing: problem setting and a posteriori estimation. Zbl 1483.65197
Buffa, Annalisa; Chanon, Ondine; Vázquez, Rafael
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
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
2
2022
On the stochastic singular Cucker-Smale model: well-posedness, collision-avoidance and flocking. Zbl 1490.60166
Huang, Qiao; Zhang, Xiongtao
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 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
2
2022
Erratum to: “Doubly nonlinear stochastic evolution equations”. Zbl 1514.35494
Scarpa, Luca; Stefanelli, Ulisse
1
2022
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
Acoustic scattering by impedance screens/cracks with fractal boundary: well-posedness analysis and boundary element approximation. Zbl 1501.65144
Bannister, J.; Gibbs, A.; Hewett, D. P.
1
2022
The synergy between two threats: disinformation and COVID-19. Zbl 1518.91198
Tórtura, Henrique A.; Fontanari, José F.
1
2022
Consensus formation in first-order graphon models with time-varying topologies. Zbl 1512.05380
Bonnet, Benoît; Duteil, Nastassia Pouradier; Sigalotti, Mario
1
2022
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
2022
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect. Zbl 1498.35424
Kawashima, Shuichi; Nakasato, Ryosuke; Ogawa, Takayoshi
1
2022
...and 1778 more Documents
all top 5

Cited by 19,715 Authors

160 Ha, Seung-Yeal
117 Winkler, Michael
113 Carrillo de la Plata, José Antonio
106 Bellomo, Nicola
104 Beirão da Veiga, Lourenço
92 Degond, Pierre
90 Bazilevs, Yuri
87 Tezduyar, Tayfun E.
86 Takizawa, Kenji
84 Hughes, Thomas J. R.
76 Yang, Xiaofeng
69 Schwab, Christoph
68 Manzini, Gianmarco
68 Stefanelli, Ulisse
67 Ciarlet, Philippe Gaston
66 Brezzi, Franco
65 Mu, Chunlai
64 Choi, Young-Pil
63 Perthame, Benoît
57 Buffa, Annalisa
57 Grasselli, Maurizio
57 Reali, Alessandro
56 Tao, Youshan
55 Wang, Zhian
54 Droniou, Jérôme
54 Du, Qiang
54 Quarteroni, Alfio M.
53 Antonietti, Paola Francesca
53 Jüngel, Ansgar
52 Garcke, Harald
52 Ruiz-Baier, Ricardo
49 Jin, Shi
49 Pareschi, Lorenzo
48 Rocca, Elisabetta
47 Panasenko, Grigory P.
47 Zheng, Jiashan
46 Miranville, Alain M.
46 Sangalli, Giancarlo
46 Zheng, Pan
45 Roubíček, Tomáš
45 Russo, Alessandro
45 Scacchi, Simone
44 Di Pietro, Daniele Antonio
44 Hayat, Tasawar
44 Li, Yeping
44 Lovadina, Carlo
44 Neff, Patrizio
43 Herty, Michael Matthias
43 Hsu, Ming-Chen
43 Praetorius, Dirk
43 Toscani, Giuseppe
42 Calo, Victor Manuel
42 Liu, Bin
42 Rajagopal, Kumbakonam Ramamani
42 Tan, Zhong
41 Süli, Endre E.
40 Ciarlet, Patrick jun.
40 Gatica, Gabriel N.
40 Pavarino, Luca Franco
40 Zhu, Changjiang
39 Banasiak, Jacek
39 Chaplain, Mark A. J.
39 Gwiazda, Piotr
39 Hérard, Jean-Marc
39 Klar, Axel
39 Piccoli, Benedetto
38 Colli, Pierluigi
38 Marini, Luisa Donatella
38 Mora, David
38 Soler, Juan S.
38 Wang, Shu
37 Auricchio, Ferdinando
37 Mielke, Alexander
37 Wang, Liangchen
36 Amrouche, Chérif
36 Nicaise, Serge
36 Ren, Guoqiang
36 Zhao, Huijiang
36 Zuazua, Enrique
35 Bulíček, Miroslav
35 Giani, Stefano
35 Gómez, Héctor J.
35 Shen, Jie
35 Shu, Chi-Wang
34 Ern, Alexandre
34 Evans, John A.
34 Yang, Tong
33 Conti, Sergio
33 Elaiw, Ahmed M.
33 Fan, Jishan
33 Feireisl, Eduard
33 Markowich, Peter Alexander
33 Wohlmuth, Barbara I.
33 Yuan, Guangwei
32 Bürger, Raimund
32 Carstensen, Carsten
32 Friedrich, Manuel
32 Gunzburger, Max D.
32 Kawashima, Shuichi
32 Kim, Jeongho
...and 19,615 more Authors
all top 5

Cited in 714 Journals

1,206 Computer Methods in Applied Mechanics and Engineering
1,115 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
880 Journal of Computational Physics
794 Journal of Differential Equations
622 Journal of Mathematical Analysis and Applications
577 Computers & Mathematics with Applications
428 Journal of Scientific Computing
402 Journal of Computational and Applied Mathematics
356 SIAM Journal on Mathematical Analysis
352 Nonlinear Analysis. Real World Applications
339 Mathematical Methods in the Applied Sciences
338 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
318 ZAMP. Zeitschrift für angewandte Mathematik und Physik
312 Archive for Rational Mechanics and Analysis
305 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
268 Applied Mathematics and Computation
258 Numerische Mathematik
257 Discrete and Continuous Dynamical Systems. Series B
249 SIAM Journal on Numerical Analysis
225 SIAM Journal on Scientific Computing
223 Applied Numerical Mathematics
222 Journal of Mathematical Physics
214 Mathematics of Computation
210 Applicable Analysis
209 Mathematical and Computer Modelling
201 Computational Mechanics
198 Applied Mathematics Letters
182 Discrete and Continuous Dynamical Systems
175 Computers and Fluids
166 Calculus of Variations and Partial Differential Equations
163 Comptes Rendus. Mathématique. Académie des Sciences, Paris
160 Journal de Mathématiques Pures et Appliquées. Neuvième Série
158 Journal of Statistical Physics
157 Kinetic and Related Models
154 Numerical Methods for Partial Differential Equations
145 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
143 Nonlinearity
139 Communications on Pure and Applied Analysis
138 Journal of Mathematical Fluid Mechanics
134 Journal of Mathematical Biology
134 SIAM Journal on Applied Mathematics
133 Journal of Theoretical Biology
132 Discrete and Continuous Dynamical Systems. Series S
124 International Journal for Numerical Methods in Engineering
119 Journal of Nonlinear Science
119 Communications in Nonlinear Science and Numerical Simulation
118 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
116 Communications in Mathematical Physics
115 Acta Applicandae Mathematicae
115 Physica D
113 Multiscale Modeling & Simulation
112 Applied Mathematical Modelling
108 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
102 Journal of Elasticity
101 Advances in Computational Mathematics
99 Networks and Heterogeneous Media
96 International Journal of Engineering Science
94 Applied Mathematics and Optimization
92 Journal of Functional Analysis
91 Mathematics and Computers in Simulation
89 Boundary Value Problems
88 Communications in Partial Differential Equations
86 Calcolo
86 Journal of Evolution Equations
83 Communications in Computational Physics
80 Physica A
79 Bulletin of Mathematical Biology
79 NoDEA. Nonlinear Differential Equations and Applications
78 European Journal of Applied Mathematics
74 SIAM Journal on Control and Optimization
71 Mathematics and Mechanics of Solids
70 Quarterly of Applied Mathematics
70 Mathematical Biosciences and Engineering
69 Journal of Fluid Mechanics
69 Continuum Mechanics and Thermodynamics
64 Transport Theory and Statistical Physics
63 Acta Mathematica Scientia. Series B. (English Edition)
62 Journal of Hyperbolic Differential Equations
61 Numerical Algorithms
61 Computational Geosciences
59 Journal of Mathematical Sciences (New York)
59 Computational Methods in Applied Mathematics
57 Journal of Dynamics and Differential Equations
55 Inverse Problems
55 Journal of Optimization Theory and Applications
55 Science China. Mathematics
54 Mathematical Biosciences
53 Engineering Analysis with Boundary Elements
52 Asymptotic Analysis
52 Analysis and Applications (Singapore)
50 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
49 Annali di Matematica Pura ed Applicata. Serie Quarta
49 Applications of Mathematics
48 Meccanica
48 Computational and Applied Mathematics
46 Computer Physics Communications
46 Mathematical Problems in Engineering
45 Evolution Equations and Control Theory
45 Advances in Nonlinear Analysis
42 Journal of the Mechanics and Physics of Solids
...and 614 more Journals
all top 5

Cited in 58 Fields

13,345 Partial differential equations (35-XX)
7,608 Numerical analysis (65-XX)
6,664 Fluid mechanics (76-XX)
3,926 Biology and other natural sciences (92-XX)
3,780 Mechanics of deformable solids (74-XX)
2,133 Statistical mechanics, structure of matter (82-XX)
1,662 Calculus of variations and optimal control; optimization (49-XX)
958 Optics, electromagnetic theory (78-XX)
791 Probability theory and stochastic processes (60-XX)
782 Ordinary differential equations (34-XX)
668 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
594 Operator theory (47-XX)
590 Systems theory; control (93-XX)
587 Classical thermodynamics, heat transfer (80-XX)
513 Integral equations (45-XX)
501 Operations research, mathematical programming (90-XX)
472 Dynamical systems and ergodic theory (37-XX)
336 Quantum theory (81-XX)
278 Geophysics (86-XX)
274 Functional analysis (46-XX)
240 Computer science (68-XX)
218 Approximations and expansions (41-XX)
218 Mechanics of particles and systems (70-XX)
208 Real functions (26-XX)
208 Global analysis, analysis on manifolds (58-XX)
166 Statistics (62-XX)
148 Differential geometry (53-XX)
135 Harmonic analysis on Euclidean spaces (42-XX)
116 Information and communication theory, circuits (94-XX)
82 Potential theory (31-XX)
65 Linear and multilinear algebra; matrix theory (15-XX)
61 General and overarching topics; collections (00-XX)
60 Measure and integration (28-XX)
53 Difference and functional equations (39-XX)
53 Integral transforms, operational calculus (44-XX)
52 Astronomy and astrophysics (85-XX)
45 Combinatorics (05-XX)
39 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 Algebraic geometry (14-XX)
4 Mathematics education (97-XX)
3 Mathematical logic and foundations (03-XX)
3 Field theory and polynomials (12-XX)
3 Nonassociative rings and algebras (17-XX)
3 Category theory; homological algebra (18-XX)
3 Group theory and generalizations (20-XX)
3 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)

Citations by Year