Networks and Heterogeneous MediaAn Applied Mathematics Journal Short Title: Netw. Heterog. Media Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1556-1801; 1556-181X/e Online: https://www.aimsciences.org/nhm/archive Comments: Journal; Published electronic only as of Vol. 5 (2010). Print ISSN until then: 1556-1801 Documents Indexed: 609 Publications (since 2006) References Indexed: 280 Publications with 8,545 References. all top 5 Latest Issues 17, No. 6 (2022) 17, No. 5 (2022) 17, No. 4 (2022) 17, No. 3 (2022) 17, No. 2 (2022) 17, No. 1 (2022) 16, No. 4 (2021) 16, No. 3 (2021) 16, No. 2 (2021) 16, No. 1 (2021) 15, No. 4 (2020) 15, No. 3 (2020) 15, No. 2 (2020) 15, No. 1 (2020) 14, No. 4 (2019) 14, No. 3 (2019) 14, No. 2 (2019) 14, No. 1 (2019) 13, No. 4 (2018) 13, No. 3 (2018) 13, No. 2 (2018) 13, No. 1 (2018) 12, No. 4 (2017) 12, No. 3 (2017) 12, No. 2 (2017) 12, No. 1 (2017) 11, No. 4 (2016) 11, No. 3 (2016) 11, No. 2 (2016) 11, No. 1 (2016) 10, No. 4 (2015) 10, No. 3 (2015) 10, No. 2 (2015) 10, No. 1 (2015) 9, No. 4 (2014) 9, No. 3 (2014) 9, No. 2 (2014) 9, No. 1 (2014) 8, No. 4 (2013) 8, No. 3 (2013) 8, No. 2 (2013) 8, No. 1 (2013) 7, No. 4 (2012) 7, No. 3 (2012) 7, No. 2 (2012) 7, No. 1 (2012) 6, No. 4 (2011) 6, No. 3 (2011) 6, No. 2 (2011) 6, No. 1 (2011) 5, No. 4 (2010) 5, No. 3 (2010) 5, No. 2 (2010) 5, No. 1 (2010) 4, No. 4 (2009) 4, No. 3 (2009) 4, No. 2 (2009) 4, No. 1 (2009) 3, No. 4 (2008) 3, No. 3 (2008) 3, No. 2 (2008) 3, No. 1 (2008) 2, No. 4 (2007) 2, No. 3 (2007) 2, No. 2 (2007) 2, No. 1 (2007) 1, No. 4 (2006) 1, No. 3 (2006) 1, No. 2 (2006) 1, No. 1 (2006) all top 5 Authors 20 Herty, Michael Matthias 19 Piccoli, Benedetto 13 Ha, Seung-Yeal 11 Göttlich, Simone 11 Karlsen, Kenneth Hvistendahl 8 Colombo, Rinaldo M. 8 Degond, Pierre 8 Garavello, Mauro 7 Bayen, Alexandre M. 7 Bendahmane, Mostafa 7 Berlyand, Leonid V. 7 Bressan, Alberto 7 D’Apice, Ciro 7 Goatin, Paola 7 Mimura, Masayasu 6 Bastin, Georges 6 Berestycki, Henri 6 Coclite, Giuseppe Maria 6 Gugat, Martin 6 Marcellini, Francesca 5 Andreianov, Boris 5 Camilli, Fabio 5 Criado, Regino 5 DeSimone, Antonio 5 Evje, Steinar 5 Hilhorst, Danielle 5 Leugering, Günter 5 Li, Zhuchun 5 Manzo, Rosanna 5 Pareschi, Lorenzo 5 Piatnitski, Andrey L. 5 Romance, Miguel 5 Tosin, Andrea 5 Xu, Gen-Qi 4 Aiki, Toyohiko 4 Bellomo, Nicola 4 Benito, Rosa Maria 4 Braides, Andrea 4 Bürger, Raimund 4 Choi, Young-Pil 4 Chyba, Monique 4 Galeano, Javier 4 Han, Zhongjie 4 Klar, Axel 4 Kramar Fijavž, Marjeta 4 Li, Tong 4 Marigo, Alessia 4 Marson, Andrea 4 Merle, Frank 4 Muntean, Adrian 4 Nazarov, Sergeĭ Aleksandrovich 4 Pakdaman, Khashayar 4 Ruiz-Baier, Ricardo 4 Santambrogio, Filippo 4 Schmidt, Bernd 4 Seguin, Nicolas 4 Towers, John D. 3 Blanc, Xavier 3 Briani, Maya 3 Caravenna, Laura 3 Chalons, Christophe 3 Chiadò Piat, Valeria 3 Choi, Sun-Ho 3 Cristiani, Emiliano 3 Dal Maso, Gianni 3 Di Ruvo, Lorenzo 3 Du, Linglong 3 Jin, Shi 3 Jost, Jürgen 3 Kolb, Oliver 3 Lagoutière, Frédéric 3 Lai, Anna Chiara 3 Le Bris, Claude 3 Lebacque, Jean Patrick 3 Litrico, Xavier 3 Loreti, Paola 3 Losada, Juan Carlos 3 Marchi, Claudio 3 Maury, Bertrand 3 McQuade, Sean T. 3 Mishra, Siddhartha 3 Natalini, Roberto 3 Novaga, Matteo 3 Panasenko, Grigory P. 3 Pastor, Juan Manuel 3 Pastukhova, Svetlana Evgenievna 3 Risebro, Nils Henrik 3 Rosini, Massimiliano Daniele 3 Rossi, Elena 3 Rybalko, Volodymyr 3 Schweizer, Ben 3 Vauchelet, Nicolas 3 Visconti, Giuseppe 3 Yip, Nung Kwan 3 Yun, Seok-Bae 2 Achdou, Yves 2 Alicandro, Roberto 2 Allaire, Grégoire 2 Amaziane, Brahim 2 Ammari, Kais ...and 974 more Authors all top 5 Fields 373 Partial differential equations (35-XX) 119 Operations research, mathematical programming (90-XX) 103 Biology and other natural sciences (92-XX) 100 Fluid mechanics (76-XX) 87 Numerical analysis (65-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 80 Mechanics of deformable solids (74-XX) 64 Systems theory; control (93-XX) 52 Statistical mechanics, structure of matter (82-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Ordinary differential equations (34-XX) 35 Dynamical systems and ergodic theory (37-XX) 32 Combinatorics (05-XX) 31 Probability theory and stochastic processes (60-XX) 24 Operator theory (47-XX) 18 General and overarching topics; collections (00-XX) 17 Computer science (68-XX) 15 Mechanics of particles and systems (70-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Information and communication theory, circuits (94-XX) 9 Integral equations (45-XX) 9 Differential geometry (53-XX) 9 Statistics (62-XX) 9 Optics, electromagnetic theory (78-XX) 8 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Measure and integration (28-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 479 Publications have been cited 4,194 times in 3,164 Documents Cited by ▼ Year ▼ Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194Bunting, Gary; Du, Yihong; Krakowski, Krzysztof 151 2012 Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023Chaplain, M. A. J.; Lolas, G. 129 2006 Gas flow in pipeline networks. Zbl 1108.76063Banda, Mapundi K.; Herty, Michael; Klar, Axel 84 2006 Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052Banda, Mapundi K.; Herty, Michael; Klar, Axel 77 2006 Long time average of mean field games. Zbl 1270.35098Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio 73 2012 A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya 64 2013 Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks. Zbl 1211.35050Nicaise, Serge; Valein, Julie 60 2007 Explicit solutions of some linear-quadratic mean field games. Zbl 1268.91017Bardi, Martino 52 2012 Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328Burger, Martin; Di Francesco, Marco 48 2008 Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162Bendahmane, Mostafa; Karlsen, Kenneth H. 48 2006 Handling congestion in crowd motion modeling. Zbl 1260.49039Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo; Venel, Juliette 47 2011 Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117Goatin, Paola; Scialanga, Sheila 44 2016 A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086Colombo, Rinaldo M.; Garavello, Mauro 40 2006 Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029Alicandro, Roberto; Braides, Andrea; Cicalese, Marco 39 2006 Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario 38 2007 On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte 35 2009 Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171Ni, Wei-Ming; Taniguchi, Masaharu 33 2013 Modeling cell movement in anisotropic and heterogeneous network tissues. Zbl 1115.92009Chauviere, A.; Hillen, T.; Preziosi, L. 32 2007 Gaussian estimates for a heat equation on a network. Zbl 1142.35349Mugnolo, Delio 31 2007 On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H. 30 2010 Opinion dynamics under the influence of radical groups, charismatic leaders, and other constant signals: a simple unifying model. Zbl 1332.90049Hegselmann, Rainer; Krause, Ulrich 30 2015 Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700Fan, Shimao; Herty, Michael; Seibold, Benjamin 30 2014 Conservation laws with discontinuous flux. Zbl 1142.35511Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea 30 2007 Numerical approximations of a traffic flow model on networks. Zbl 1124.90005Bretti, G.; Natalini, R.; Piccoli, B. 29 2006 A-priori estimates for stationary mean-field games. Zbl 1260.49071Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor 28 2012 The Cauchy problem for the inhomogeneous porous medium equation. Zbl 1124.35035Reyes, Guillermo; Vazquez, Juan Luis 27 2006 Stationary states in gas networks. Zbl 1332.93154Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter 26 2015 Vertex control of flows in networks. Zbl 1154.93004Engel, Klaus-Jochen; Kramar Fijavž, Marjeta; Nagel, Rainer; Sikolya, Eszter 25 2008 A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017Braides, Andrea; Solci, Margherita; Vitali, Enrico 25 2007 Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059Dick, Markus; Gugat, Martin; Leugering, Günter 24 2010 A Godunov type scheme for a class of LWR traffic flow models with non-local flux. Zbl 1468.65123Friedrich, Jan; Kolb, Oliver; Göttlich, Simone 24 2018 Optimal control problems on stratified domains. Zbl 1123.49028Bressan, Alberto; Hong, Yunho 24 2007 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817Kurganov, Alexander; Polizzi, Anthony 23 2009 Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien 22 2011 Iterative strategies for solving linearized discrete mean field games systems. Zbl 1268.91020Achdou, Yves; Perez, Victor 22 2012 Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1160.35438Bendahmane, Mostafa 22 2008 Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models. Zbl 1277.35103Seibold, Benjamin; Flynn, Morris R.; Kasimov, Aslan R.; Rosales, Rodolfo Ruben 22 2013 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 22 2007 On the derivation of linear elasticity from atomistic models. Zbl 1183.74020Schmidt, Bernd 21 2009 Empirical results for pedestrian dynamics and their implications for modeling. Zbl 1260.90057Schadschneider, Andreas; Seyfried, Armin 21 2011 General constrained conservation laws. Application to pedestrian flow modeling. Zbl 1275.35144Chalons, Christophe; Goatin, Paola; Seguin, Nicolas 21 2013 From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan 21 2015 Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088Gugat, Martin; Sigalotti, Mario 20 2010 On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052Bellomo, Nicola; Bellouquid, Abdelghani 20 2011 The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Zbl 1264.65161Henning, Patrick; Ohlberger, Mario 19 2010 New numerical methods for mean field games with quadratic costs. Zbl 1270.35020Guéant, Olivier 19 2012 Modeling opinion dynamics: how the network enhances consensus. Zbl 1377.91142Dolfin, Marina; Lachowicz, Mirosław 19 2015 Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P. 19 2008 Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045Herty, Michael 19 2007 Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313Li, Dong; Li, Tong 18 2011 Opinion dynamics on a general compact Riemannian manifold. Zbl 1415.91233Aydoğdu, Aylin; McQuade, Sean T.; Duteil, Nastassia Pouradier 18 2017 Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang 18 2015 Asymptotic synchronous behavior of Kuramoto type models with frustrations. Zbl 1333.92044Ha, Seung-Yeal; Kim, Yongduck; Li, Zhuchun 18 2014 Numerical network models and entropy principles for isothermal junction flow. Zbl 1304.35523Reigstad, Gunhild A. 18 2014 Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille 18 2019 Non-local multi-class traffic flow models. Zbl 1426.35153Chiarello, Felisia Angela; Goatin, Paola 18 2019 Optimization criteria for modelling intersections of vehicular traffic flow. Zbl 1131.90016Herty, M.; Moutari, S; Rascle, M. 18 2006 Tailored finite point method for the interface problem. Zbl 1187.65128Huang, Zhongyi 17 2009 Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations. Zbl 1262.35009Caetano, Filipa; Gander, Martin J.; Halpern, Laurence; Szeftel, Jérémie 17 2010 A modest proposal for MFG with density constraints. Zbl 1268.91023Santambrogio, Filippo 17 2012 Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics. Zbl 1401.34041Ha, Seung-Yeal; Noh, Se Eun; Park, Jinyeong 17 2015 Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052Mielke, Alexander; Reichelt, Sina; Thomas, Marita 17 2014 Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Zbl 1284.35276Coclite, Giuseppe Maria; Di Ruvo, Lorenzo; Ernest, Jan; Mishra, Siddhartha 17 2013 \(k\)-core decomposition of internet graphs: hierarchies, self-similarity and measurement biases. Zbl 1145.68470Alvarez-Hamelin, José Ignacio; Dall’Asta, Luca; Barrat, Alain; Vespignani, Alessandro 17 2008 Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa 17 2007 Existence and approximation of probability measure solutions to models of collective behaviors. Zbl 1262.35162Tosin, Andrea; Frasca, Paolo 16 2011 PDE problems arising in mathematical biology. Zbl 1260.49001Friedman, Avner 16 2012 A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation. Zbl 1339.35175Coclite, Giuseppe Maria; di Ruvo, Lorenzo 16 2016 Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem. Zbl 1260.35147Mikelić, Andro; Guidoboni, Giovanna; Čanić, Sunčica 16 2007 Distributed model predictive control of irrigation canals. Zbl 1194.93161Negenborn, Rudy R.; van Overloop, Peter-Jules; Keviczky, Tamás; de Schutter, Bart 15 2009 A semi-discrete approximation for a first order mean field game problem. Zbl 1260.91019Camilli, Fabio; Silva, Francisco 15 2012 On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127Cristiani, Emiliano; Sahu, Smita 15 2016 Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723Banasiak, Jacek; Namayanja, Proscovia 15 2014 Globally stable quasistatic evolution in plasticity with softening. Zbl 1156.74308Dal Maso, G.; DeSimone, A.; Mora, M. G.; Morini, M. 15 2008 A particle system in interaction with a rapidly varying environment: mean field limits and applications. Zbl 1262.60092Bordenave, Charles; McDonald, David R.; Proutière, Alexandre 14 2010 On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. Zbl 1262.35163Cancès, Clément 14 2010 On gradient structures for Markov chains and the passage to Wasserstein gradient flows. Zbl 1372.35124Disser, Karoline; Liero, Matthias 14 2015 Sparse stabilization of dynamical systems driven by attraction and avoidance forces. Zbl 1333.93112Bongini, Mattia; Fornasier, Massimo 14 2014 Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D. 14 2008 Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication. Zbl 1459.82253Choi, Young-Pil; Ha, Seung-Yeal; Kim, Jeongho 14 2018 Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122Holden, Helge; Risebro, Nils Henrik 14 2018 A fluid dynamic model for supply chains. Zbl 1131.90002D’Apice, Ciro; Manzo, Rosanna 14 2006 Optimal control for continuous supply network models. Zbl 1131.90009Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel 14 2006 On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018Chen, Zhangxin 14 2006 Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081Choi, Young-Pil; Pignotti, Cristina 14 2019 Kinetic models for polymers with inertial effects. Zbl 1183.76614Degond, Pierre; Liu, Hailiang 13 2009 Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings. Zbl 1262.65115Blanc, Xavier; Le Bris, Claude 13 2010 The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312Kissling, Frederike; Rohde, Christian 13 2010 Asymptotical compliance optimization for connected networks. Zbl 1223.49017Buttazzo, Giuseppe; Santambrogio, Filippo 13 2007 A second order model of road junctions in fluid models of traffic networks. Zbl 1161.35443Haut, Bertrand; Bastin, Georges 13 2007 Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2. Zbl 1127.35310D’Apice, C.; De Maio, U.; Mel’nyk, T. A. 13 2007 Feedback stabilization of a coupled string-beam system. Zbl 1183.93109Ammari, Kaïs; Jellouli, Mohamed; Mehrenberger, Michel 12 2009 Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. Zbl 1186.35013Chambolle, Antonin; Thouroude, Gilles 12 2009 A novel model for intersections of vehicular traffic flow. Zbl 1187.35137Herty, Michael; Lebacque, J.-P.; Moutari, S. 12 2009 Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Zbl 1328.65190Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles 12 2011 Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays. Zbl 1258.93008Lu, Wenlian; Atay, Fatihcan M.; Jost, Jürgen 12 2011 Conservation law models for traffic flow on a network of roads. Zbl 1335.49035Bressan, Alberto; Nguyen, Khai T. 12 2015 Computational models for fluid exchange between microcirculation and tissue interstitium. Zbl 1305.76138Cattaneo, Laura; Zunino, Paolo 12 2014 On the passage from atomistic systems to nonlinear elasticity theory for general multi-body potentials with p-growth. Zbl 1283.49013Braun, Julian; Schmidt, Bernd 12 2013 Random homogenization of fractional obstacle problems. Zbl 1156.74359Caffarelli, Luis; Mellet, Antoine 12 2008 Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143Bellomo, Nicola; Burini, Diletta; Outada, Nisrine 11 2022 Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Zbl 1496.35405Erbar, Matthias; Forkert, Dominik; Maas, Jan; Mugnolo, Delio 4 2022 A measure model for the spread of viral infections with mutations. Zbl 1501.92157Gong, Xiaoqian; Piccoli, Benedetto 3 2022 Well-posedness theory for nonlinear scalar conservation laws on networks. Zbl 1485.65097Musch, Markus; Fjordholm, Ulrik Skre; Risebro, Nils Henrik 3 2022 An atomistic derivation of von-Kármán plate theory. Zbl 1502.70014Braun, Julian; Schmidt, Bernd 2 2022 Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. Zbl 1498.65016Bertaglia, Giulia; Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu 2 2022 Optimization of vaccination for COVID-19 in the midst of a pandemic. Zbl 1501.92087Luo, Qi; Weightman, Ryan; McQuade, Sean T.; Díaz, Mateo; Trélat, Emmanuel; Barbour, William; Work, Dan; Samaranayake, Samitha; Piccoli, Benedetto 2 2022 Compactness property of the linearized Boltzmann operator for a diatomic single gas model. Zbl 1497.76117Brull, Stéphane; Shahine, Marwa; Thieullen, Philippe 2 2022 Telegraph systems on networks and port-Hamiltonians. II: Network realizability. Zbl 1487.35385Banasiak, Jacek; Błoch, Adam 2 2022 Homogenization of stiff inclusions through network approximation. Zbl 1489.35008Gérard-Varet, David; Girodroux-Lavigne, Alexandre 2 2022 Stability analysis of microscopic models for traffic flow with lane changing. Zbl 1504.76010Piu, Matteo; Puppo, Gabriella 1 2022 A periodic homogenization problem with defects rare at infinity. Zbl 1496.35044Goudey, Rémi 1 2022 A study of computational and conceptual complexities of compartment and agent based models. Zbl 1501.92168Kunwar, Prateek; Markovichenko, Oleksandr; Chyba, Monique; Mileyko, Yuriy; Koniges, Alice; Lee, Thomas 1 2022 Vaccination strategies through intra-compartmental dynamics. Zbl 1501.92084Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena 1 2022 Advanced mathematical methodologies to contrast COVID-19 pandemic. Zbl 07607846 1 2022 An explicit finite volume algorithm for vanishing viscosity solutions on a network. Zbl 1487.90206Towers, John D. 1 2022 Mean-field limit of collective dynamics with time-varying weights. Zbl 1497.37011Duteil, Nastassia Pouradier 1 2022 Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph. Zbl 1465.34010Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 8 2021 Opinion fitness and convergence to consensus in homogeneous and heterogeneous populations. Zbl 1468.91117Pérez-Llanos, Mayte; Pinasco, Juan Pablo; Saintier, Nicolas 5 2021 Influence of a slow moving vehicle on traffic: well-posedness and approximation for a mildly nonlocal model. Zbl 1469.35146Sylla, Abraham 4 2021 Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure. Zbl 1469.35141Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G. 2 2021 An inverse problem for quantum trees with observations at interior vertices. Zbl 1469.35244Avdonin, Sergei; Edward, Julian 2 2021 Multiple patterns formation for an aggregation/diffusion predator-prey system. Zbl 1481.35054Fagioli, Simone; Jaafra, Yahya 2 2021 Bi-continuous semigroups for flows on infinite networks. Zbl 1481.35367Budde, Christian; Fijavž, Marjeta Kramar 2 2021 Convergence rates for the homogenization of the Poisson problem in randomly perforated domains. Zbl 1481.35034Giunti, Arianna 1 2021 Rumor spreading dynamics with an online reservoir and its asymptotic stability. Zbl 1478.92186Choi, Sun-Ho; Seo, Hyowon 1 2021 Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas 10 2020 Homogenization of Bingham flow in thin porous media. Zbl 1434.76017Anguiano, María; Bunoiu, Renata 8 2020 Relative entropy method for the relaxation limit of hydrodynamic models. Zbl 1455.35181Carrillo, José Antonio; Peng, Yingping; Wróblewska-Kamińska, Aneta 8 2020 Deep neural network approach to forward-inverse problems. Zbl 1442.35474Jo, Hyeontae; Son, Hwijae; Hwang, Hyung Ju; Kim, Eun Heui 6 2020 Perturbation analysis of the effective conductivity of a periodic composite. Zbl 1451.74066Luzzini, Paolo; Musolino, Paolo 5 2020 Vanishing viscosity on a star-shaped graph under general transmission conditions at the node. Zbl 1446.35074Coclite, Giuseppe Maria; Donadello, Carlotta 4 2020 A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity. Zbl 1446.65155Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo 4 2020 Modelling pattern formation through differential repulsion. Zbl 1451.35227Barré, Julien; Degond, Pierre; Peurichard, Diane; Zatorska, Ewelina 4 2020 Kinetic modelling of multiple interactions in socio-economic systems. Zbl 1451.35103Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia 4 2020 The selection problem for some first-order stationary mean-field games. Zbl 1455.35261Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo 4 2020 A remark about the periodic homogenization of certain composite fibered media. Zbl 1441.35028Murat, François; Sili, Ali 3 2020 Micro- and macroscopic modeling of crowding and pushing in corridors. Zbl 1455.91175Fischer, Michael; Jankowiak, Gaspard; Wolfram, Marie-Therese 3 2020 Mean field models for large data-clustering problems. Zbl 1451.82045Herty, Michael; Pareschi, Lorenzo; Visconti, Giuseppe 3 2020 Efficient numerical methods for gas network modeling and simulation. Zbl 1457.76013Qiu, Yue; Grundel, Sara; Stoll, Martin; Benner, Peter 3 2020 Matrix valued inverse problems on graphs with application to mass-spring-damper systems. Zbl 1437.05136Draper, Travis G.; Vasquez, Fernando Guevara; Tse, Justin Cheuk-Lum; Wallengren, Toren E.; Zheng, Kenneth 2 2020 Special issue on mathematical models for collective dynamics. Zbl 07291680 2 2020 Swarms dynamics approach to behavioral economy: theoretical tools and price sequences. Zbl 1451.82063Bellomo, Nicola; De Nigris, Sarah; Knopoff, Damián; Morini, Matteo; Terna, Pietro 2 2020 A BGK kinetic model with local velocity alignment forces. Zbl 1451.35100Choi, Young-Pil; Yun, Seok-Bae 2 2020 New coupling conditions for isentropic flow on networks. Zbl 1455.35193Holle, Yannick; Herty, Michael; Westdickenberg, Michael 2 2020 The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles. Zbl 1436.65112Towers, John D. 1 2020 Convexity and starshapedness of feasible sets in stationary flow networks. Zbl 1441.90108Gugat, Martin; Schultz, Rüdiger; Schuster, Michael 1 2020 Comparative study of macroscopic traffic flow models at road junctions. Zbl 1452.35098Goatin, Paola; Rossi, Elena 1 2020 Nonlinear stability of stationary solutions to the Kuramoto-Sakaguchi equation with frustration. Zbl 1455.93143Ha, Seung-Yeal; Park, Hansol; Zhang, Yinglong 1 2020 Bounded confidence dynamics and graph control: enforcing consensus. Zbl 1455.91181Li, GuanLin; Motsch, Sebastien; Weber, Dylan 1 2020 The band-gap structure of the spectrum in a periodic medium of masonry type. Zbl 1454.35130Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari 1 2020 Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille 18 2019 Non-local multi-class traffic flow models. Zbl 1426.35153Chiarello, Felisia Angela; Goatin, Paola 18 2019 Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081Choi, Young-Pil; Pignotti, Cristina 14 2019 The Cardiac bidomain model and homogenization. Zbl 1423.35200Grandelius, Erik; Karlsen, Kenneth H. 10 2019 Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. Zbl 1423.76045Anguiano, María; Suárez-Grau, Francisco Javier 7 2019 Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads. Zbl 1437.65111Shen, Wen 7 2019 Steady distribution of the incremental model for bacteria proliferation. Zbl 1428.35623Gabriel, Pierre; Martin, Hugo 6 2019 A class of infinite horizon mean field games on networks. Zbl 1423.35372Achdou, Yves; Dao, Manh-Khang; Ley, Olivier; Tchou, Nicoletta 5 2019 Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018Joly, Patrick; Kachanovska, Maryna; Semin, Adrien 4 2019 A local sensitivity analysis for the kinetic Kuramoto equation with random inputs. Zbl 1428.35593Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook 4 2019 On the local and global existence of solutions to 1d transport equations with nonlocal velocity. Zbl 1428.35320Bae, Hantaek; Granero-Belinchón, Rafael; Lazar, Omar 4 2019 Opinion formation in voting processes under bounded confidence. Zbl 1423.90035Pilyugin, Sergei Yu.; Campi, M. C. 4 2019 Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations. Zbl 1435.35267Nazarov, Sergei A.; Orive-Illera, Rafael; Pérez-Martínez, María-Eugenia 4 2019 A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model. Zbl 1426.49021Bakir, Toufik; Bonnard, Bernard; Rouot, Jérémy 3 2019 Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. Zbl 1436.60065Mohammed, Mogtaba; Sango, Mamadou 3 2019 Compressible and viscous two-phase flow in porous media based on mixture theory formulation. Zbl 1426.65129Qiao, Yangyang; Wen, Huanyao; Evje, Steinar 3 2019 Well-balanced scheme for gas-flow in pipeline networks. Zbl 1435.35239Mantri, Yogiraj; Herty, Michael; Noelle, Sebastian 3 2019 A discrete districting plan. Zbl 1433.91112Saracco, Alberto; Saracco, Giorgio 3 2019 Local weak solvability of a moving boundary problem describing swelling along a halfline. Zbl 1423.35467Kumazaki, Kota; Muntean, Adrian 2 2019 Optimal reinforcing networks for elastic membranes. Zbl 1426.49012Alberti, Giovanni; Buttazzo, Giuseppe; Bianco, Serena Guarino Lo; Oudet, Édouard 2 2019 Controlled cellular automata. Zbl 1425.93096Beros, Achilles; Chyba, Monique; Markovichenko, Oleksandr 1 2019 A network model of immigration: enclave formation vs. cultural integration. Zbl 1423.90039Chuang, Yao-Li; Chou, Tom; D’Orsogna, Maria R. 1 2019 Stability of metabolic networks via linear-in-flux-expressions. Zbl 1425.92089Merrill, Nathaniel J.; An, Zheming; McQuade, Sean T.; Garin, Federica; Azer, Karim; Abrams, Ruth E.; Piccoli, Benedetto 1 2019 Derivation of second order traffic flow models with time delays. Zbl 1426.35150Burger, Michael; Göttlich, Simone; Jung, Thomas 1 2019 Homogenization and exact controllability for problems with imperfect interface. Zbl 1426.35022Monsurrò, Sara; Perugia, Carmen 1 2019 A Godunov type scheme for a class of LWR traffic flow models with non-local flux. Zbl 1468.65123Friedrich, Jan; Kolb, Oliver; Göttlich, Simone 24 2018 Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication. Zbl 1459.82253Choi, Young-Pil; Ha, Seung-Yeal; Kim, Jeongho 14 2018 Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122Holden, Helge; Risebro, Nils Henrik 14 2018 Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface. Zbl 1418.35026Gahn, Markus; Neuss-Radu, Maria; Knabner, Peter 12 2018 Uniform stability and mean-field limit for the augmented Kuramoto model. Zbl 1405.70007Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao 12 2018 Functional model for extensions of symmetric operators and applications to scattering theory. Zbl 07006654Cherednichenko, Kirill D.; Kiselev, Alexander V.; Silva, Luis O. 9 2018 On a vorticity-based formulation for reaction-diffusion-Brinkman systems. Zbl 1407.65178Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Baier, Ricardo Ruiz 8 2018 A two-dimensional data-driven model for traffic flow on highways. Zbl 1405.90044Herty, Michael; Fazekas, Adrian; Visconti, Giuseppe 8 2018 Traveling wave profiles for a follow-the-leader model for traffic flow with rough road condition. Zbl 1420.34095Shen, Wen 7 2018 On Lennard-Jones systems with finite range interactions and their asymptotic analysis. Zbl 1407.49015Schäffner, Mathias; Schlömerkemper, Anja 6 2018 SIR rumor spreading model with trust rate distribution. Zbl 1412.34173Hong, Bum Il; Hahm, Nahmwoo; Choi, Sun-Ho 5 2018 Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network. Zbl 1405.35238Guarguaglini, Francesca R. 5 2018 Green’s function for elliptic systems: moment bounds. Zbl 1405.35025Bella, Peter; Giunti, Arianna 5 2018 Optimal model switching for gas flow in pipe networks. Zbl 1420.35261Rüffler, Fabian; Mehrmann, Volker; Hante, Falk M. 4 2018 Entropy-preserving coupling conditions for one-dimensional Euler systems at junctions. Zbl 1405.35108Lang, Jens; Mindt, Pascal 4 2018 Perturbations of minimizing movements and curves of maximal slope. Zbl 1457.35010Tribuzio, Antonio 3 2018 Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours. Zbl 1405.74011Alicandro, Roberto; Lazzaroni, Giuliano; Palombaro, Mariapia 3 2018 Fluvial to torrential phase transition in open canals. Zbl 1420.35224Briani, Maya; Piccoli, Benedetto 2 2018 Fisher-KPP equations and applications to a model in medical sciences. Zbl 1405.35086Contri, Benjamin 2 2018 Interior regularity to the steady incompressible shear thinning fluids with non-standard growth. Zbl 1417.35108Bae, Hyeong-Ohk; So, Hyoungsuk; Youn, Yeonghun 1 2018 Crystalline evolutions in chessboard-like microstructures. Zbl 1414.53062Malusa, Annalisa; Novaga, Matteo 1 2018 Long time behavior for the visco-elastic damped wave equation in \(\mathbb{R}^n_+\) and the boundary effect. Zbl 1414.35123Du, Linglong 1 2018 On boundary optimal control problem for an arterial system: first-order optimality conditions. Zbl 1412.35165D’Apice, Ciro; Kupenko, Olha P.; Manzo, Rosanna 1 2018 Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs. Zbl 1415.35166von Below, Joachim; Lubary, José A. 1 2018 ...and 379 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,968 Authors 59 Ha, Seung-Yeal 53 Herty, Michael Matthias 42 Piccoli, Benedetto 41 Göttlich, Simone 33 Coclite, Giuseppe Maria 32 Gugat, Martin 31 Braides, Andrea 30 Du, Yihong 30 Xu, Gen-Qi 28 Goatin, Paola 26 Wang, Mingxin 24 Bendahmane, Mostafa 24 Gomes, Diogo Luís Aguiar 22 Andreianov, Boris 22 Carrillo de la Plata, José Antonio 21 Cicalese, Marco 21 Di Ruvo, Lorenzo 20 Garavello, Mauro 20 Rosini, Massimiliano Daniele 19 Tosin, Andrea 18 Bellomo, Nicola 18 Leugering, Günter 17 D’Apice, Ciro 17 Keimer, Alexander 17 Kim, Dohyun 16 Colombo, Rinaldo M. 16 Stefanelli, Ulisse 15 Choi, Young-Pil 15 Lou, Bendong 15 Nicaise, Serge 15 Surulescu, Christina 14 Camilli, Fabio 14 Mugnolo, Delio 14 Pareschi, Lorenzo 14 Ruiz-Baier, Ricardo 14 Santambrogio, Filippo 14 Winkler, Michael 13 Han, Zhongjie 13 Klar, Axel 13 Kolb, Oliver 13 Li, Wan-Tong 13 Muntean, Adrian 13 Pflug, Lukas 13 Schweizer, Ben 12 Achdou, Yves 12 Bertozzi, Andrea Louise 12 Burger, Martin 12 Chaplain, Mark A. J. 12 Coron, Jean-Michel 12 Degond, Pierre 12 Panasenko, Grigory P. 12 Piatnitski, Andrey L. 12 Porretta, Alessio 12 Prieur, Christophe 12 Shim, Woojoo 12 Tao, Youshan 12 Trucu, Dumitru 12 Wu, Changhong 11 Borsche, Raul 11 Cancès, Clément 11 Cannarsa, Piermarco 11 Di Francesco, Marco 11 Marcellini, Francesca 11 Preziosi, Luigi 11 Punzo, Fabio 11 Risebro, Nils Henrik 11 Wang, Zhi Cheng 11 Zhou, Maolin 10 Beauchard, Karine 10 Bressan, Alberto 10 Cardaliaguet, Pierre 10 Chiarello, Felisia Angela 10 DeSimone, Antonio 10 Friedrich, Manuel 10 Gloria, Antoine 10 Huang, Zhongyi 10 Karlsen, Kenneth Hvistendahl 10 Kim, Jeongho 10 Manzo, Rosanna 10 Nazarov, Sergeĭ Aleksandrovich 10 Panov, Evgeniy Yu. 10 Shangerganesh, Lingeshwaran 10 Shen, Wen 10 Stavre, Ruxandra 10 Toscani, Giuseppe 10 Towers, John D. 10 Wolfram, Marie-Therese 10 Zanella, Mattia 10 Zuazua, Enrique 9 Albi, Giacomo 9 Alicandro, Roberto 9 Banasiak, Jacek 9 Bauso, Dario 9 Bu, Zhenhui 9 Bürger, Raimund 9 Chechkin, Gregory Aleksandrovich 9 Corli, Andrea 9 Cristiani, Emiliano 9 Donadello, Carlotta 9 Guerra, Graziano ...and 3,868 more Authors all top 5 Cited in 401 Journals 122 Journal of Differential Equations 118 Networks and Heterogeneous Media 116 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 82 Journal of Mathematical Analysis and Applications 74 SIAM Journal on Mathematical Analysis 68 Discrete and Continuous Dynamical Systems. Series B 66 Archive for Rational Mechanics and Analysis 56 Calculus of Variations and Partial Differential Equations 56 Discrete and Continuous Dynamical Systems 48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 SIAM Journal on Control and Optimization 45 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 42 Nonlinear Analysis. Real World Applications 41 Automatica 38 Journal of Computational Physics 38 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 SIAM Journal on Applied Mathematics 35 Journal of Mathematical Biology 33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 31 Discrete and Continuous Dynamical Systems. Series S 30 Computers & Mathematics with Applications 30 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Kinetic and Related Models 28 Applicable Analysis 27 Applied Mathematics and Optimization 27 Physica D 26 Journal of Statistical Physics 26 NoDEA. Nonlinear Differential Equations and Applications 26 Multiscale Modeling & Simulation 25 Applied Mathematics and Computation 24 Nonlinearity 24 Journal of Scientific Computing 24 Communications in Partial Differential Equations 23 Physica A 23 Acta Applicandae Mathematicae 22 Journal of Hyperbolic Differential Equations 21 Journal of Theoretical Biology 20 Mathematical Methods in the Applied Sciences 20 Journal of Computational and Applied Mathematics 20 Numerische Mathematik 19 International Journal of Control 19 Dynamic Games and Applications 18 Systems & Control Letters 18 Journal of Dynamics and Differential Equations 18 Journal of Nonlinear Science 18 Journal of Evolution Equations 17 Computer Methods in Applied Mechanics and Engineering 17 Journal of Mathematical Sciences (New York) 17 Communications on Pure and Applied Analysis 17 Mathematical Biosciences and Engineering 17 Mathematical Control and Related Fields 16 Journal of Mathematical Physics 16 SIAM Journal on Numerical Analysis 16 Applied Numerical Mathematics 16 Applied Mathematical Modelling 15 Journal of Functional Analysis 15 European Journal of Applied Mathematics 14 Bulletin of Mathematical Biology 14 Journal of Optimization Theory and Applications 14 Applied Mathematics Letters 14 SIAM Journal on Scientific Computing 14 SIAM Journal on Applied Dynamical Systems 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 SN Partial Differential Equations and Applications 12 Asymptotic Analysis 12 Mathematical Modelling of Natural Phenomena 11 Quarterly of Applied Mathematics 11 Vietnam Journal of Mathematics 11 Communications in Nonlinear Science and Numerical Simulation 11 Evolution Equations and Control Theory 11 Journal of Dynamics and Games 10 Communications in Mathematical Physics 10 Journal of the Franklin Institute 10 Mathematics of Computation 10 Advances in Mathematics 10 Continuum Mechanics and Thermodynamics 10 Interfaces and Free Boundaries 9 Numerical Methods for Partial Differential Equations 9 Computational Geosciences 8 Computers and Fluids 8 Bulletin of the Brazilian Mathematical Society. New Series 8 Boundary Value Problems 8 Minimax Theory and its Applications 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Mathematics and Computers in Simulation 7 Semigroup Forum 7 MCSS. Mathematics of Control, Signals, and Systems 7 Applications of Mathematics 7 Stochastic Processes and their Applications 7 Journal of Dynamical and Control Systems 7 Annales Henri Poincaré 7 The European Physical Journal B. Condensed Matter and Complex Systems 6 Journal of the Mechanics and Physics of Solids 6 Chaos, Solitons and Fractals 6 Transactions of the American Mathematical Society 6 Chinese Annals of Mathematics. Series B 6 The Annals of Applied Probability 6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Mediterranean Journal of Mathematics ...and 301 more Journals all top 5 Cited in 50 Fields 2,049 Partial differential equations (35-XX) 657 Biology and other natural sciences (92-XX) 498 Numerical analysis (65-XX) 443 Fluid mechanics (76-XX) 390 Systems theory; control (93-XX) 377 Calculus of variations and optimal control; optimization (49-XX) 355 Operations research, mathematical programming (90-XX) 303 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 302 Mechanics of deformable solids (74-XX) 243 Statistical mechanics, structure of matter (82-XX) 172 Ordinary differential equations (34-XX) 166 Probability theory and stochastic processes (60-XX) 98 Operator theory (47-XX) 84 Dynamical systems and ergodic theory (37-XX) 76 Computer science (68-XX) 72 Combinatorics (05-XX) 64 Integral equations (45-XX) 59 Mechanics of particles and systems (70-XX) 41 Differential geometry (53-XX) 38 Classical thermodynamics, heat transfer (80-XX) 34 Optics, electromagnetic theory (78-XX) 29 Quantum theory (81-XX) 25 Statistics (62-XX) 20 Difference and functional equations (39-XX) 20 Functional analysis (46-XX) 18 Information and communication theory, circuits (94-XX) 17 Real functions (26-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Measure and integration (28-XX) 10 General and overarching topics; collections (00-XX) 9 Potential theory (31-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Geophysics (86-XX) 7 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Convex and discrete geometry (52-XX) 5 Functions of a complex variable (30-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 4 Astronomy and astrophysics (85-XX) 3 Mathematical logic and foundations (03-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 General topology (54-XX) 1 Associative rings and algebras (16-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year