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: 2,375 Publications (since 1991) References Indexed: 1,997 Publications with 69,687 References. all top 5 Latest Issues 34, No. 11 (2024) 34, No. 10 (2024) 34, No. 9 (2024) 34, No. 8 (2024) 34, No. 7 (2024) 34, No. 6 (2024) 34, No. 5 (2024) 34, No. 4 (2024) 34, No. 3 (2024) 34, No. 2 (2024) 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. 14 (2019) 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) ...and 282 more Volumes all top 5 Authors 57 Bellomo, Nicola 34 Brezzi, Franco 26 Ha, Seung-Yeal 25 Soler, Juan S. 22 Beirão da Veiga, Lourenço 22 Takizawa, Kenji 22 Tezduyar, Tayfun E. 21 Degond, Pierre 20 Carrillo de la Plata, José Antonio 19 Schwab, Christoph 16 Bazilevs, Yuri 16 Rajagopal, Kumbakonam Ramamani 15 Winkler, Michael 14 Ciarlet, Philippe Gaston 14 Jüngel, Ansgar 14 Kawashima, Shuichi 14 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 12 Toscani, Giuseppe 11 Choi, Young-Pil 11 Ciarlet, Patrick jun. 11 Feireisl, Eduard 11 Knopoff, Damian A. 11 Nochetto, Ricardo Horacio 11 Payne, Lawrence Edward 11 Piccoli, Benedetto 10 Banasiak, Jacek 10 Chaplain, Mark A. J. 10 Maday, Yvon 10 Málek, Josef 10 Manzini, Gianmarco 10 Stefanelli, Ulisse 10 Zuazua, Enrique 9 Babuška, Ivo 9 Bernardi, Christine 9 Bertozzi, Andrea Louise 9 Garcke, Harald 9 Ko, Dongnam 9 Lachowicz, Mirosław 9 Marini, Luisa Donatella 9 Pareschi, Lorenzo 8 Bulíček, Miroslav 8 De Angelis, Elena 8 Delitala, Marcello Edoardo 8 Gibelli, Livio 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 Perthame, Benoît 8 Quarteroni, Alfio M. 8 Rocca, Elisabetta 8 Sangalli, Giancarlo 7 Bellouquid, Abdelghani 7 Buffa, Annalisa 7 Burini, Diletta 7 Burman, Erik 7 Cancès, Eric 7 Colli, Pierluigi 7 Conti, Sergio 7 Coquel, Frédéric 7 Duan, Renjun 7 Jin, Shi 7 Le Bris, Claude 7 Li, Zhiping 7 Lovadina, Carlo 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 Chapelle, Dominique 6 Davoli, Elisa 6 de Socio, Luciano M. 6 Dolbeault, Jean 6 Ducomet, Bernard ...and 3,123 more Authors all top 5 Fields 1,447 Partial differential equations (35-XX) 691 Fluid mechanics (76-XX) 658 Numerical analysis (65-XX) 450 Biology and other natural sciences (92-XX) 433 Mechanics of deformable solids (74-XX) 338 Statistical mechanics, structure of matter (82-XX) 219 Calculus of variations and optimal control; optimization (49-XX) 109 Probability theory and stochastic processes (60-XX) 109 Optics, electromagnetic theory (78-XX) 107 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 100 Classical thermodynamics, heat transfer (80-XX) 98 Ordinary differential equations (34-XX) 85 Integral equations (45-XX) 71 Operations research, mathematical programming (90-XX) 64 Systems theory; control (93-XX) 60 Operator theory (47-XX) 51 Dynamical systems and ergodic theory (37-XX) 51 Quantum theory (81-XX) 33 Geophysics (86-XX) 31 Mechanics of particles and systems (70-XX) 26 Functional analysis (46-XX) 17 Real functions (26-XX) 17 Approximations and expansions (41-XX) 16 Differential geometry (53-XX) 16 Global analysis, analysis on manifolds (58-XX) 16 Computer science (68-XX) 16 Information and communication theory, circuits (94-XX) 15 General and overarching topics; collections (00-XX) 12 Astronomy and astrophysics (85-XX) 11 Statistics (62-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Combinatorics (05-XX) 6 Potential theory (31-XX) 6 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 6 Convex and discrete geometry (52-XX) 5 Measure and integration (28-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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,175 Publications have been cited 40,854 times in 24,386 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. 805 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. 729 2015 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336 Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 410 2014 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. 404 2006 Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008 Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge 288 1996 Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342 Abels, Helmut; Garcke, Harald; Grün, Günther 245 2012 Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136 Tao, Youshan; Wang, Zhi-An 241 2013 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 236 2013 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. 234 2016 Isogeometric collocation methods. Zbl 1226.65091 Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 213 2010 Coupled chemotaxis fluid model. Zbl 1191.92004 Lorz, Alexander 208 2010 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014 Bellomo, N.; Li, N. K.; Maini, P. K. 206 2008 Stability analysis for the virtual element method. Zbl 1378.65171 Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 203 2017 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099 Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 191 2005 Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492 Degond, Pierre; Motsch, Sébastien 182 2008 A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005 Cañizo, J. A.; Carrillo, J. A.; Rosado, J. 179 2011 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128 Brezzi, Franco; Russo, Alessandro 179 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. 178 2005 Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319 Droniou, Jerome 174 2014 On fractional Choquard equations. Zbl 1323.35205 d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco 166 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 161 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. 155 2019 Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093 Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 151 2007 Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249 Danchin, Raphaël; Paicu, Marius 141 2011 Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059 Lankeit, Johannes 140 2016 A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172 Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo 140 2015 Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023 Hosono, Yuzo; Ilyas, Bilal 139 1995 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167 Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul 135 2014 Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041 Bolley, François; Cañizo, José A.; Carrillo, José A. 134 2011 Virtual element methods on meshes with small edges or faces. Zbl 1393.65049 Brenner, Susanne C.; Sung, Li-Yeng 127 2018 On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090 Vila, J. P. 126 1999 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 125 2010 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. 124 2008 On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066 Rajagopal, K. R. 122 2007 General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024 Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge 122 2010 A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026 Humphrey, J. D.; Rajagopal, K. R. 118 2002 Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 1516.35092 Tao, Youshan; Winkler, Michael 117 2017 A class of nonlocal models for pedestrian traffic. Zbl 1248.35213 Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali 115 2012 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 113 2016 Space-time fluid-structure interaction methods. Zbl 1248.76118 Takizawa, Kenji; Tezduyar, Tayfun E. 111 2012 Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023 Ruiz, David 105 2005 On the closure of mass balance models for tumor growth. Zbl 1016.92016 Ambrosi, D.; Preziosi, L. 104 2002 Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042 Mellet, A.; Vasseur, A. 103 2007 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337 Evans, John A.; Hughes, Thomas J. R. 103 2013 \(L^p\)-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 103 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. 103 2009 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065 Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 102 2010 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090 Antonietti, P. F.; Manzini, G.; Verani, M. 101 2018 A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116 Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo 100 2010 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 100 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. 98 2012 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053 Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 97 1991 Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204 Hillen, Thomas; Painter, Kevin J.; Winkler, Michael 95 2013 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 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 92 2015 Predator-prey model with diffusion and indirect prey-taxis. Zbl 1349.92133 Tello, J. Ignacio; Wrzosek, Dariusz 92 2016 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117 Brezzi, F.; Marini, L. D.; Süli, E. 92 2004 Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013 Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi 89 2008 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065 Bellomo, N.; Soler, J. 88 2012 Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215 Schmuck, Markus 87 2009 A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030 Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 86 2013 Dynamics and pattern formation of a diffusive predator-prey model with predator-taxis. Zbl 1411.35171 Wu, Sainan; Wang, Jinfeng; Shi, Junping 86 2018 Hydrodynamic limit of the kinetic Cucker-Smale flocking model. Zbl 1309.35180 Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 86 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. 85 2007 New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322 Manzini, Gianmarco; Russo, Alessandro; Sukumar, N. 85 2014 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. 84 2013 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 84 2015 The nonconforming virtual element method for plate bending problems. Zbl 1396.74098 Zhao, Jikun; Chen, Shaochun; Zhang, Bei 83 2016 On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200 D’Angelo, C.; Quarteroni, A. 83 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 82 2015 The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060 Bardos, Claude; Ukai, Seiji 82 1991 Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155 Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 81 2010 Critical thresholds in 1D Euler equations with non-local forces. Zbl 1356.35174 Carrillo, José A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui 80 2016 The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091 Degond, P.; Lucquin-Desreux, B. 80 1992 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 79 2014 Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038 Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos 78 2007 Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025 Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E. 77 2013 To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076 Hu, Bingran; Tao, Y. 77 2016 A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111 Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas 77 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 76 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. 76 1995 A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031 Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying 76 2018 Fokker-Planck equations in the modeling of socio-economic phenomena. Zbl 1362.35305 Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe 76 2017 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029 Bellomo, N.; Bellouquid, A.; Delitala, M. 76 2004 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. 76 2012 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 On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009 Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo 75 2012 An \(H^1\)-conforming virtual element for Darcy and Brinkman equations. Zbl 1457.65218 Vacca, Giuseppe 74 2018 On the Oberbeck-Boussinesq approximation. Zbl 0883.76078 Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R. 72 1996 Emergence of bi-cluster flocking for the Cucker-Smale model. Zbl 1359.92121 Cho, Junghee; Ha, Seung-Yeal; Huang, Feimin; Jin, Chunyin; Ko, Dongnam 72 2016 Some results on partial differential equations and Asian options. Zbl 1034.35166 Barucci, E.; Polidoro, S.; Vespri, V. 72 2001 Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068 Mielke, Alexander; Roubíček, Tomáš 72 2006 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006 Ciarlet, Philippe G.; Ciarlet, Patrick jun. 70 2005 On the inviscid limit of a model for crack propagation. Zbl 1151.49014 Knees, Dorothee; Mielke, Alexander; Zanini, Chiara 70 2008 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137 Bellomo, N.; Knopoff, D.; Soler, J. 69 2013 On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070 Li, Dong; Li, Tong; Zhao, Kun 69 2011 Eigenelements of a general aggregation-fragmentation model. Zbl 1201.35086 Doumic Jauffret, Marie; Gabriel, Pierre 69 2010 Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with subcritical sensitivity. Zbl 1378.92010 Wang, Yulan 69 2017 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 69 2006 From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors. Zbl 1534.91032 Bellomo, Nicola; Egidi, Massimo 5 2024 Kinetic compartmental models driven by opinion dynamics: vaccine hesitancy and social influence. Zbl 1541.35510 Bondesan, Andrea; Toscani, Giuseppe; Zanella, Mattia 5 2024 Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. Zbl 1540.65354 Bao, Weizhu; Ma, Ying; Wang, Chushan 4 2024 Inf-sup stabilized Scott-Vogelius pairs on general shape-regular simplicial grids by Raviart-Thomas enrichment. Zbl 1540.65488 John, Volker; Li, Xu; Merdon, Christian; Rui, Hongxing 3 2024 Isogeometric analysis in computation of complex-geometry flow problems with moving boundaries and interfaces. Zbl 1534.76054 Tezduyar, Tayfun E.; Takizawa, Kenji; Bazilevs, Yuri 2 2024 Biological modeling with nonlocal advection-diffusion equations. Zbl 1536.92018 Painter, Kevin J.; Hillen, Thomas; Potts, Jonathan R. 2 2024 Structured population models on Polish spaces: a unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations. Zbl 07830488 Düll, Christian; Gwiazda, Piotr; Marciniak-Czochra, Anna; Skrzeczkowski, Jakub 2 2024 Pedestrian models with congestion effects. Zbl 1541.90114 Aceves-Sánchez, Pedro; Bailo, Rafael; Degond, Pierre; Mercier, Zoé 2 2024 Kinetic theory of active particles meets auction theory. Zbl 1545.91143 Crucianelli, Carla; Pinasco, Juan Pablo; Saintier, Nicolas 2 2024 Korn-Maxwell-Sobolev inequalities for general incompatibilities. Zbl 1541.35015 Gmeineder, Franz; Lewintan, Peter; Neff, Patrizio 2 2024 Moment methods for kinetic traffic flow and a class of macroscopic traffic models. Zbl 1543.90067 Borsche, Raul; Klar, Axel 1 2024 Macroscopic modeling of social crowds. Zbl 1545.91219 Gibelli, Livio; Knopoff, Damián A.; Liao, Jie; Yan, Wenbin 1 2024 Time-discrete momentum consensus-based optimization algorithm and its application to Lyapunov function approximation. Zbl 1541.65048 Ha, Seung-Yeal; Hwang, Gyuyoung; Kim, Sungyoon 1 2024 On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: insights from a mathematical model. Zbl 1545.92056 Otero, José García; Bodzioch, Mariusz; Belmonte-Beitia, Juan 1 2024 Epidemics and society – a multiscale vision from the small world to the globally interconnected world. Zbl 1545.92100 Burini, Diletta; Knopoff, Damian A. 1 2024 Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis. Zbl 07938958 Jüngel, Ansgar; Wang, Boyi 1 2024 New trends on the systems approach to modeling SARS-CoV-2 pandemics in a globally connected planet. Zbl 07938961 Bertaglia, Giulia; Bondesan, Andrea; Burini, Diletta; Eftimie, Raluca; Pareschi, Lorenzo; Toscani, Giuseppe 1 2024 Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids. Zbl 1537.80011 Gawlik, Evan S.; Gay-Balmaz, François 1 2024 Local well-posedness for the compressible Navier-Stokes-BGK model in Sobolev spaces with exponential weight. Zbl 1537.35333 Choi, Young-Pil; Jung, Jinwook 1 2024 Coupling the Navier-Stokes-Fourier equations with the Johnson-Segalman stress-diffusive viscoelastic model: global-in-time and large-data analysis. Zbl 07854440 Bathory, Michal; Bulíček, Miroslav; Málek, Josef 1 2024 The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs. Zbl 1541.35034 Harbrecht, Helmut; Schmidlin, Marc; Schwab, Christoph 1 2024 Human behavioral crowds review, critical analysis and research perspectives. Zbl 1517.90024 Bellomo, Nicola; Liao, Jie; Quaini, Annalisa; Russo, Lucia; Siettos, Constantinos 14 2023 Immersed virtual element methods for electromagnetic interface problems in three dimensions. Zbl 1514.65164 Cao, Shuhao; Chen, Long; Guo, Ruchi 9 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. 9 2023 Generalized solution and eventual smoothness in a logarithmic Keller-Segel system for criminal activities. Zbl 1517.35229 Li, Bin; Xie, Li 7 2023 Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1530.35126 Wang, Yifu; Xu, Chi 7 2023 Variational multiscale method stabilization parameter calculated from the strain-rate tensor. Zbl 1529.76057 Takizawa, Kenji; Otoguro, Yuto; Tezduyar, Tayfun E. 7 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 6 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. 6 2023 Consensus-based optimization via jump-diffusion stochastic differential equations. Zbl 1515.60198 Kalise, Dante; Sharma, Akash; Tretyakov, Michael V. 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 5 2023 Entropy dissipation and propagation of chaos for the uniform reshuffling model. Zbl 1524.35655 Cao, Fei; Jabin, Pierre-Emmanuel; Motsch, Sebastien 5 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 4 2023 Kinetic modeling of a leader-follower system in crowd evacuation with collective learning. Zbl 1517.35228 Liao, Jie; Ren, Yi’ang; Yan, Wenbin 4 2023 The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem. Zbl 1517.65103 Henning, Patrick 4 2023 \(L^1\)-theory for Hele-Shaw flow with linear drift. Zbl 1518.35004 Igbida, Noureddine 4 2023 Existence of multi-spikes in the Keller-Segel model with logistic growth. Zbl 1523.35046 Kong, Fanze; Wei, Juncheng; Xu, Liangshun 4 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 4 2023 Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy. Zbl 1519.35032 Zheng, Jiashan; Ke, Yuanyuan 4 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 3 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 3 2023 The virtual element method for the 3D resistive magnetohydrodynamic model. Zbl 1514.76049 Beirão da Veiga, Lourenço; Dassi, Franco; Manzini, Gianmarci; Mascotto, Lorenzo 3 2023 Global small solutions to the 3D compressible viscous non-resistive MHD system. Zbl 1527.35305 Wu, Jiahong; Zhai, Xiaoping 3 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. 3 2023 Modeling and numerical simulations of multilane vehicular traffic by active particles methods. Zbl 1516.35299 Zagour, M. 3 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 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 An effective model for boundary vortices in thin-film micromagnetics. Zbl 1517.82044 Ignat, Radu; Kurzke, Matthias 3 2023 On an elastic strain-limiting special Cosserat rod model. Zbl 1517.74059 Rajagopal, K. R.; Rodriguez, C. 2 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. 2 2023 Bound-preserving finite element approximations of the Keller-Segel equations. Zbl 1538.65340 Badia, Santiago; Bonilla, Jesús; Gutiérrez-Santacreu, Juan Vicente 2 2023 Well-posedness of a Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flows with surfactant. Zbl 1529.35375 Di Primio, Andrea; Grasselli, Maurizio; Wu, Hao 2 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 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 Cross-diffusion models in complex frameworks from microscopic to macroscopic. Zbl 1522.35515 Burini, D.; Chouhad, N. 2 2023 How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller-Segel-Navier-Stokes system? Zbl 1537.35346 Dai, Feng; Liu, Bin 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 Control of the Stefan problem in a periodic box. Zbl 1519.93032 Geshkovski, Borjan; Maity, Debayan 1 2023 Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen-Cahn equation. Zbl 1527.65100 Zhang, Guo-Dong; Yang, Xiaofeng 1 2023 Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications. Zbl 1537.46028 Han, Zhaolong; Tian, Xiaochuan 1 2023 Analyticity and \(hp\) discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. Zbl 1527.65121 Maday, Yvon; Marcati, Carlo 1 2023 Differential games for crowd dynamics and applications. Zbl 1530.91064 Barreiro-Gomez, Julian; Masmoudi, Nader 1 2023 Confined run-and-tumble model with boundary aggregation: long-time behavior and convergence to the confined Fokker-Planck model. Zbl 1529.35532 Fu, Jingyi; Liang, Jiuyang; Perthame, Benoit; Tang, Min; Zhong, Chuhan 1 2023 A mean field game model of firm-level innovation. Zbl 07716173 Barker, Matt; Degond, Pierre; Martin, Ralf; Muûls, Mirabelle 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 Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications. Zbl 1517.65086 Kaltenbach, A.; Růžička, M. 1 2023 Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations. Zbl 07716181 Edel, P.; Maday, Y. 1 2023 Analysis of divergence free conforming virtual elements for the Brinkman problem. Zbl 1517.65112 Huang, Xuehai; Wang, Feng 1 2023 Traveling waves for a Fisher-type reaction-diffusion equation with a flux in divergence form. Zbl 1518.35190 Arias, Margarita; Campos, Juan 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 Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation. Zbl 1522.65197 Adak, Dibyendu; Anaya, Verónica; Bendahmane, Mostafa; Mora, David 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 Three-species drift-diffusion models for memristors. Zbl 1523.35023 Jourdana, Clément; Jüngel, Ansgar; Zamponi, Nicola 1 2023 Compressible Euler-Maxwell limit for global smooth solutions to the Vlasov-Maxwell-Boltzmann system. Zbl 1522.35402 Duan, Renjun; Yang, Dongcheng; Yu, Hongjun 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 Non-isothermal non-Newtonian fluids: the stationary case. Zbl 1517.76006 Grasselli, Maurizio; Parolini, Nicola; Poiatti, Andrea; Verani, Marco 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 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. 62 2022 Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042 Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro 37 2022 On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of two-phase incompressible flows. Zbl 07524187 Li, Xiaoli; Shen, Jie 17 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 16 2022 Repulsive chemotaxis and predator evasion in predator-prey models with diffusion and prey-taxis. Zbl 1486.92175 Mishra, Purnedu; Wrzosek, Dariusz 15 2022 Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433 Kaltenbacher, Barbara; Nikolić, Vanja 15 2022 Viscoelastic Cahn-Hilliard models for tumor growth. Zbl 1524.35659 Garcke, Harald; Kovács, Balázs; Trautwein, Dennis 13 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. 10 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. 10 2022 Error estimates of local energy regularization for the logarithmic Schrödinger equation. Zbl 1483.35168 Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 10 2022 Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1492.78005 Davoli, Elisa; Di Fratta, Giovanni; Praetorius, Dirk; Ruggeri, Michele 9 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 8 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 Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media. Zbl 1497.65216 Meng, Jian; Mei, Liquan 8 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 8 2022 Tangential Navier-Stokes equations on evolving surfaces: analysis and simulations. Zbl 1514.35322 Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander 8 2022 Asymptotic-preserving neural networks for multiscale hyperbolic models of epidemic spread. Zbl 1512.92094 Bertaglia, Giulia; Lu, Chuan; Pareschi, Lorenzo; Zhu, Xueyu 7 2022 Virus models in complex frameworks: towards modeling space patterns of SARS-CoV-2 epidemics. Zbl 1518.35591 Burini, D.; Chouhad, N. 7 2022 On a two-species chemotaxis system with indirect signal production and general competition terms. Zbl 1501.35048 Zheng, Pan; Xiang, Yuting; Xing, Jie 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 Boundedness and asymptotic stabilization in a two-dimensional Keller-Segel-Navier-Stokes system with sub-logistic source. Zbl 1517.35040 Dai, Feng; Xiang, Tian 6 2022 ...and 1769 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 20,888 Authors 170 Ha, Seung-Yeal 125 Winkler, Michael 123 Carrillo de la Plata, José Antonio 109 Bellomo, Nicola 106 Beirão da Veiga, Lourenço 93 Bazilevs, Yuri 91 Degond, Pierre 91 Tezduyar, Tayfun E. 90 Takizawa, Kenji 84 Hughes, Thomas J. 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ESAIM, European Series in Applied and Industrial Mathematics 49 Mathematische Nachrichten 49 Meccanica ...and 636 more Journals all top 5 Cited in 58 Fields 14,318 Partial differential equations (35-XX) 8,167 Numerical analysis (65-XX) 7,080 Fluid mechanics (76-XX) 4,216 Biology and other natural sciences (92-XX) 4,002 Mechanics of deformable solids (74-XX) 2,235 Statistical mechanics, structure of matter (82-XX) 1,778 Calculus of variations and optimal control; optimization (49-XX) 1,003 Optics, electromagnetic theory (78-XX) 845 Ordinary differential equations (34-XX) 828 Probability theory and stochastic processes (60-XX) 715 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 646 Systems theory; control (93-XX) 631 Operator theory (47-XX) 602 Classical thermodynamics, heat transfer (80-XX) 544 Integral equations (45-XX) 528 Operations research, mathematical programming (90-XX) 501 Dynamical systems and ergodic theory (37-XX) 357 Quantum theory (81-XX) 300 Functional analysis (46-XX) 278 Geophysics (86-XX) 251 Computer science (68-XX) 246 Real functions (26-XX) 237 Mechanics of particles and systems (70-XX) 230 Approximations and expansions (41-XX) 224 Global analysis, analysis on manifolds (58-XX) 180 Statistics (62-XX) 159 Differential geometry (53-XX) 153 Harmonic analysis on Euclidean spaces (42-XX) 118 Information and communication theory, circuits (94-XX) 90 Potential theory (31-XX) 71 Linear and multilinear algebra; matrix theory (15-XX) 70 General and overarching topics; collections (00-XX) 66 Measure and integration (28-XX) 57 Difference and functional equations (39-XX) 56 Integral transforms, operational calculus (44-XX) 56 Astronomy and astrophysics (85-XX) 49 Combinatorics (05-XX) 40 Functions of a complex variable (30-XX) 38 Relativity and gravitational theory (83-XX) 33 Special functions (33-XX) 30 Convex and discrete geometry (52-XX) 14 Several complex variables and analytic spaces (32-XX) 13 History and biography (01-XX) 13 Number theory (11-XX) 9 Abstract harmonic analysis (43-XX) 9 General topology (54-XX) 8 Manifolds and cell complexes (57-XX) 5 Topological groups, Lie groups (22-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-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 Sequences, series, summability (40-XX) 3 Geometry (51-XX) 2 Algebraic topology (55-XX) Citations by Year