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: http://www.aimspress.com/nhm/article/archives Comments: Journal; Published electronic only as of Vol. 5 (2010). Print ISSN until then: 1556-1801 Documents Indexed: 742 Publications (since 2006) References Indexed: 409 Publications with 13,222 References. all top 5 Latest Issues 19, No. 3 (2024) 19, No. 2 (2024) 19, No. 1 (2024) 18, No. 4 (2023) 18, No. 3 (2023) 18, No. 2 (2023) 18, No. 1 (2023) 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 24 Piccoli, Benedetto 21 Herty, Michael Matthias 13 Göttlich, Simone 13 Ha, Seung-Yeal 11 Karlsen, Kenneth Hvistendahl 8 Bayen, Alexandre M. 8 Coclite, Giuseppe Maria 8 Colombo, Rinaldo M. 8 Degond, Pierre 8 Garavello, Mauro 8 Goatin, Paola 7 Bendahmane, Mostafa 7 Berlyand, Leonid V. 7 Bressan, Alberto 7 D’Apice, Ciro 7 Mimura, Masayasu 6 Bastin, Georges 6 Berestycki, Henri 6 Bürger, Raimund 6 Evje, Steinar 6 Gugat, Martin 6 Manzo, Rosanna 6 Marcellini, Francesca 6 Muntean, Adrian 5 Ahn, Hyunjin 5 Aiki, Toyohiko 5 Andreianov, Boris 5 Bellomo, Nicola 5 Braides, Andrea 5 Briani, Maya 5 Camilli, Fabio 5 Chyba, Monique 5 Criado, Regino 5 DeSimone, Antonio 5 Hilhorst, Danielle 5 Leugering, Günter 5 Li, Tong 5 Li, Zhuchun 5 Pareschi, Lorenzo 5 Piatnitski, Andrey L. 5 Romance, Miguel 5 Tosin, Andrea 5 Towers, John D. 5 Xu, Gen-Qi 4 Benito, Rosa Maria 4 Chiarello, Felisia Angela 4 Choi, Young-Pil 4 Di Ruvo, Lorenzo 4 Friedrich, Jan 4 Galeano, Javier 4 Han, Zhongjie 4 Klar, Axel 4 Kramar Fijavž, Marjeta 4 Marigo, Alessia 4 Marson, Andrea 4 Merle, Frank 4 Nazarov, Sergeĭ Aleksandrovich 4 Novaga, Matteo 4 Pakdaman, Khashayar 4 Ruiz-Baier, Ricardo 4 Santambrogio, Filippo 4 Schmidt, Bernd 4 Seguin, Nicolas 4 Tang, Yanbin 3 Blanc, Xavier 3 Caravenna, Laura 3 Chalons, Christophe 3 Chiadò Piat, Valeria 3 Choi, Sun-Ho 3 Cristiani, Emiliano 3 Dal Maso, Gianni 3 Delle Monache, Maria Laura 3 Du, Linglong 3 Gong, Xiaoqian 3 Heida, Martin 3 Honda, Hirotada 3 Jin, Shi 3 Jost, Jürgen 3 Keimer, Alexander 3 Kolb, Oliver 3 Kumazaki, Kota 3 Lagoutière, Frédéric 3 Lai, Anna Chiara 3 Le Bris, Claude 3 Lebacque, Jean Patrick 3 Litrico, Xavier 3 Liu, Li-Bin 3 Loreti, Paola 3 Losada, Juan Carlos 3 Marchi, Claudio 3 Maury, Bertrand 3 McQuade, Sean T. 3 Mishra, Siddhartha 3 Moutari, Salissou 3 Natalini, Roberto 3 Panasenko, Grigory P. 3 Pastor, Juan Manuel 3 Pastukhova, Svetlana Evgenievna 3 Risebro, Nils Henrik 3 Rosini, Massimiliano Daniele ...and 1,275 more Authors all top 5 Fields 437 Partial differential equations (35-XX) 135 Operations research, mathematical programming (90-XX) 133 Numerical analysis (65-XX) 126 Biology and other natural sciences (92-XX) 112 Fluid mechanics (76-XX) 90 Mechanics of deformable solids (74-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 73 Systems theory; control (93-XX) 64 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Statistical mechanics, structure of matter (82-XX) 55 Ordinary differential equations (34-XX) 36 Dynamical systems and ergodic theory (37-XX) 34 Probability theory and stochastic processes (60-XX) 33 Combinatorics (05-XX) 28 Computer science (68-XX) 25 Operator theory (47-XX) 19 General and overarching topics; collections (00-XX) 15 Mechanics of particles and systems (70-XX) 15 Information and communication theory, circuits (94-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Integral equations (45-XX) 12 Statistics (62-XX) 10 Real functions (26-XX) 9 Functional analysis (46-XX) 9 Differential geometry (53-XX) 9 Optics, electromagnetic theory (78-XX) 8 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 2 Approximations and expansions (41-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 Special functions (33-XX) 1 Sequences, series, summability (40-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 545 Publications have been cited 5,028 times in 3,748 Documents Cited by ▼ Year ▼ Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194 Bunting, Gary; Du, Yihong; Krakowski, Krzysztof 177 2012 Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023 Chaplain, M. A. J.; Lolas, G. 161 2006 Gas flow in pipeline networks. Zbl 1108.76063 Banda, Mapundi K.; Herty, Michael; Klar, Axel 96 2006 Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052 Banda, Mapundi K.; Herty, Michael; Klar, Axel 88 2006 Long time average of mean field games. Zbl 1270.35098 Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio 85 2012 A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067 Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya 81 2013 Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks. Zbl 1211.35050 Nicaise, Serge; Valein, Julie 66 2007 Explicit solutions of some linear-quadratic mean field games. Zbl 1268.91017 Bardi, Martino 58 2012 Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117 Goatin, Paola; Scialanga, Sheila 53 2016 Handling congestion in crowd motion modeling. Zbl 1260.49039 Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo; Venel, Juliette 53 2011 Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328 Burger, Martin; Di Francesco, Marco 50 2008 Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162 Bendahmane, Mostafa; Karlsen, Kenneth H. 50 2006 A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086 Colombo, Rinaldo M.; Garavello, Mauro 44 2006 Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011 Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario 43 2007 On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175 Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte 42 2009 Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700 Fan, Shimao; Herty, Michael; Seibold, Benjamin 39 2014 A Godunov type scheme for a class of LWR traffic flow models with non-local flux. Zbl 1468.65123 Friedrich, Jan; Kolb, Oliver; Göttlich, Simone 39 2018 Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco 39 2006 Opinion dynamics under the influence of radical groups, charismatic leaders, and other constant signals: a simple unifying model. Zbl 1332.90049 Hegselmann, Rainer; Krause, Ulrich 38 2015 Modeling cell movement in anisotropic and heterogeneous network tissues. Zbl 1115.92009 Chauviere, A.; Hillen, T.; Preziosi, L. 38 2007 Gaussian estimates for a heat equation on a network. Zbl 1142.35349 Mugnolo, Delio 36 2007 Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171 Ni, Wei-Ming; Taniguchi, Masaharu 36 2013 On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305 Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H. 35 2010 Conservation laws with discontinuous flux. Zbl 1142.35511 Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea 34 2007 Numerical approximations of a traffic flow model on networks. Zbl 1124.90005 Bretti, G.; Natalini, R.; Piccoli, B. 33 2006 The Cauchy problem for the inhomogeneous porous medium equation. Zbl 1124.35035 Reyes, Guillermo; Vazquez, Juan Luis 31 2006 Stationary states in gas networks. Zbl 1332.93154 Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter 29 2015 A-priori estimates for stationary mean-field games. Zbl 1260.49071 Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor 29 2012 Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059 Dick, Markus; Gugat, Martin; Leugering, Günter 29 2010 Optimal control problems on stratified domains. Zbl 1123.49028 Bressan, Alberto; Hong, Yunho 28 2007 A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017 Braides, Andrea; Solci, Margherita; Vitali, Enrico 28 2007 Vertex control of flows in networks. Zbl 1154.93004 Engel, Klaus-Jochen; Kramar Fijavž, Marjeta; Nagel, Rainer; Sikolya, Eszter 27 2008 Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models. Zbl 1277.35103 Seibold, Benjamin; Flynn, Morris R.; Kasimov, Aslan R.; Rosales, Rodolfo Ruben 26 2013 Non-local multi-class traffic flow models. Zbl 1426.35153 Chiarello, Felisia Angela; Goatin, Paola 26 2019 From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278 Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan 25 2015 Iterative strategies for solving linearized discrete mean field games systems. Zbl 1268.91020 Achdou, Yves; Perez, Victor 25 2012 Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051 Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien 25 2011 On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052 Bellomo, Nicola; Bellouquid, Abdelghani 25 2011 General constrained conservation laws. Application to pedestrian flow modeling. Zbl 1275.35144 Chalons, Christophe; Goatin, Paola; Seguin, Nicolas 25 2013 On the derivation of linear elasticity from atomistic models. Zbl 1183.74020 Schmidt, Bernd 25 2009 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411 Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 25 2007 Modeling opinion dynamics: how the network enhances consensus. Zbl 1377.91142 Dolfin, Marina; Lachowicz, Mirosław 24 2015 Empirical results for pedestrian dynamics and their implications for modeling. Zbl 1260.90057 Schadschneider, Andreas; Seyfried, Armin 24 2011 Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1160.35438 Bendahmane, Mostafa 24 2008 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817 Kurganov, Alexander; Polizzi, Anthony 24 2009 Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011 Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang 23 2015 Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143 Bellomo, Nicola; Burini, Diletta; Outada, Nisrine 22 2022 Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045 Herty, Michael 22 2007 Optimization criteria for modelling intersections of vehicular traffic flow. Zbl 1131.90016 Herty, M.; Moutari, S; Rascle, M. 22 2006 Asymptotic synchronous behavior of Kuramoto type models with frustrations. Zbl 1333.92044 Ha, Seung-Yeal; Kim, Yongduck; Li, Zhuchun 21 2014 Numerical network models and entropy principles for isothermal junction flow. Zbl 1304.35523 Reigstad, Gunhild A. 21 2014 The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Zbl 1264.65161 Henning, Patrick; Ohlberger, Mario 21 2010 On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127 Cristiani, Emiliano; Sahu, Smita 20 2016 Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081 Choi, Young-Pil; Pignotti, Cristina 20 2019 New numerical methods for mean field games with quadratic costs. Zbl 1270.35020 Guéant, Olivier 20 2012 Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088 Gugat, Martin; Sigalotti, Mario 20 2010 Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313 Li, Dong; Li, Tong 20 2011 Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331 Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P. 20 2008 Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics. Zbl 1401.34041 Ha, Seung-Yeal; Noh, Se Eun; Park, Jinyeong 19 2015 Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Zbl 1284.35276 Coclite, Giuseppe Maria; Di Ruvo, Lorenzo; Ernest, Jan; Mishra, Siddhartha 19 2013 Opinion dynamics on a general compact Riemannian manifold. Zbl 1415.91233 Aydoğdu, Aylin; McQuade, Sean T.; Duteil, Nastassia Pouradier 19 2017 A modest proposal for MFG with density constraints. Zbl 1268.91023 Santambrogio, Filippo 19 2012 PDE problems arising in mathematical biology. Zbl 1260.49001 Friedman, Avner 19 2012 Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem. Zbl 1260.35147 Mikelić, Andro; Guidoboni, Giovanna; Čanić, Sunčica 19 2007 Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508 Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa 19 2007 Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations. Zbl 1262.35009 Caetano, Filipa; Gander, Martin J.; Halpern, Laurence; Szeftel, Jérémie 19 2010 Feedback stabilization of a coupled string-beam system. Zbl 1183.93109 Ammari, Kaïs; Jellouli, Mohamed; Mehrenberger, Michel 19 2009 Tailored finite point method for the interface problem. Zbl 1187.65128 Huang, Zhongyi 19 2009 \(k\)-core decomposition of internet graphs: hierarchies, self-similarity and measurement biases. Zbl 1145.68470 Alvarez-Hamelin, José Ignacio; Dall’Asta, Luca; Barrat, Alain; Vespignani, Alessandro 19 2008 Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177 Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille 19 2019 Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052 Mielke, Alexander; Reichelt, Sina; Thomas, Marita 18 2014 Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication. Zbl 1459.82253 Choi, Young-Pil; Ha, Seung-Yeal; Kim, Jeongho 18 2018 Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122 Holden, Helge; Risebro, Nils Henrik 18 2018 On gradient structures for Markov chains and the passage to Wasserstein gradient flows. Zbl 1372.35124 Disser, Karoline; Liero, Matthias 17 2015 A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation. Zbl 1339.35175 Coclite, Giuseppe Maria; di Ruvo, Lorenzo 17 2016 Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723 Banasiak, Jacek; Namayanja, Proscovia 17 2014 Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface. Zbl 1418.35026 Gahn, Markus; Neuss-Radu, Maria; Knabner, Peter 17 2018 A semi-discrete approximation for a first order mean field game problem. Zbl 1260.91019 Camilli, Fabio; Silva, Francisco 17 2012 Existence and approximation of probability measure solutions to models of collective behaviors. Zbl 1262.35162 Tosin, Andrea; Frasca, Paolo 17 2011 Uniform stability and mean-field limit for the augmented Kuramoto model. Zbl 1405.70007 Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao 16 2018 A second order model of road junctions in fluid models of traffic networks. Zbl 1161.35443 Haut, Bertrand; Bastin, Georges 16 2007 Distributed model predictive control of irrigation canals. Zbl 1194.93161 Negenborn, Rudy R.; van Overloop, Peter-Jules; Keviczky, Tamás; de Schutter, Bart 16 2009 Stability of non-autonomous difference equations with applications to transport and wave propagation on networks. Zbl 1388.39008 Chitour, Yacine; Mazanti, Guilherme; Sigalotti, Mario 15 2016 On the passage from atomistic systems to nonlinear elasticity theory for general multi-body potentials with p-growth. Zbl 1283.49013 Braun, Julian; Schmidt, Bernd 15 2013 Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings. Zbl 1262.65115 Blanc, Xavier; Le Bris, Claude 15 2010 A fluid dynamic model for supply chains. Zbl 1131.90002 D’Apice, Ciro; Manzo, Rosanna 15 2006 A novel model for intersections of vehicular traffic flow. Zbl 1187.35137 Herty, Michael; Lebacque, J.-P.; Moutari, S. 15 2009 Random homogenization of fractional obstacle problems. Zbl 1156.74359 Caffarelli, Luis; Mellet, Antoine 15 2008 Homogenization of a thermal problem with flux jump. Zbl 1356.35029 Bunoiu, Renata; Timofte, Claudia 14 2016 Conservation law models for traffic flow on a network of roads. Zbl 1335.49035 Bressan, Alberto; Nguyen, Khai T. 14 2015 Sparse stabilization of dynamical systems driven by attraction and avoidance forces. Zbl 1333.93112 Bongini, Mattia; Fornasier, Massimo 14 2014 Computational models for fluid exchange between microcirculation and tissue interstitium. Zbl 1305.76138 Cattaneo, Laura; Zunino, Paolo 14 2014 A particle system in interaction with a rapidly varying environment: mean field limits and applications. Zbl 1262.60092 Bordenave, 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 1262.35163 Cancès, Clément 14 2010 Optimal control for continuous supply network models. Zbl 1131.90009 Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel 14 2006 On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018 Chen, Zhangxin 14 2006 Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. Zbl 1186.35013 Chambolle, Antonin; Thouroude, Gilles 14 2009 Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586 Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D. 14 2008 Globally stable quasistatic evolution in plasticity with softening. Zbl 1156.74308 Dal Maso, G.; DeSimone, A.; Mora, M. G.; Morini, M. 14 2008 Boltzmann-type models for price formation in the presence of behavioral aspects. Zbl 1342.35204 Brugna, Carlo; Toscani, Giuseppe 13 2015 Spectral distribution and semigroup properties of a queueing model with exceptional service time. Zbl 07927808 Yiming, Nurehemaiti 1 2024 BV regularity of the adapted entropy solutions for conservation laws with infinitely many spatial discontinuities. Zbl 1544.35070 Ghoshal, Shyam Sundar; Towers, John D.; Vaidya, Ganesh 1 2024 On rotavirus infectious disease model using piecewise modified \(ABC\) fractional order derivative. Zbl 1545.92062 Eiman; Shah, Kamal; Sarwar, Muhammad; Abdeljawad, Thabet 1 2024 From the binomial reshuffling model to Poisson distribution of money. Zbl 1542.91306 Cao, Fei; Marshall, Nicholas F. 1 2024 Learning the nonlinear flux function of a hidden scalar conservation law from data. Zbl 1531.68086 Li, Qing; Evje, Steinar 4 2023 Nonlocal scalar conservation laws with discontinuous flux. Zbl 1532.35300 Chiarello, Felisia Angela; Coclite, Giuseppe Maria 4 2023 Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure. Zbl 1532.35032 Chen, Junlong; Tang, Yanbin 4 2023 Numerical schemes for a class of nonlocal conservation laws: a general approach. Zbl 1535.65154 Friedrich, Jan; Sudha, Sanjibanee; Rathan, Samala 4 2023 Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity. Zbl 1532.35056 Gu, Caihong; Tang, Yanbin 3 2023 Central schemes for networked scalar conservation laws. Zbl 1532.65063 Herty, Michael; Kolbe, Niklas; Müller, Siegfried 3 2023 Isoperimetric planar clusters with infinitely many regions. Zbl 07798656 Novaga, Matteo; Paolini, Emanuele; Stepanov, Eugene; Tortorelli, Vincenzo Maria 3 2023 A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. Zbl 1535.65151 Bürger, Raimund; Contreras, Harold Deivi; Villada, Luis Miguel 3 2023 Asymptotic flocking of the relativistic Cucker-Smale model with time delay. Zbl 1534.92104 Ahn, Hyunjin 2 2023 A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows. Zbl 1535.65127 Bürger, Raimund; Diehl, Stefan; Martí, M. Carmen; Vásquez, Yolanda 2 2023 SLeNN-ELM: a shifted Legendre neural network method for fractional delay differential equations based on extreme learning machine. Zbl 1531.65088 Ye, Yinlin; Li, Yajing; Fan, Hongtao; Liu, Xinyi; Zhang, Hongbing 2 2023 A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations. Zbl 1531.65287 Mao, Zhi; Luo, Dan 2 2023 Error estimate of BDF2 scheme on a Bakhvalov-type mesh for a singularly perturbed Volterra integro-differential equation. Zbl 1535.65314 Liu, Li-Bin; Liao, Yige; Long, Guangqing 2 2023 A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation. Zbl 1534.65184 Hou, Yaxin; Wen, Cao; Liu, Yang; Li, Hong 2 2023 Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem. Zbl 1535.65174 Sun, L. L.; Chang, M. L. 2 2023 Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays. Zbl 1531.65103 Deng, Dingwen; Chen, Jingliang 2 2023 The dynamics of coupled logistic maps. Zbl 1534.39007 Cánovas, J. S. 1 2023 The numerical solutions for the nonhomogeneous Burgers’ equation with the generalized Hopf-Cole transformation. Zbl 1531.65131 Yan, Tong 1 2023 Convergence of an energy-preserving finite difference method for the nonlinear coupled space-fractional Klein-Gordon equations. Zbl 1531.65113 Li, Min; Ming, Ju; Qin, Tingting; Zhou, Boya 1 2023 Approximation of solutions to integro-differential time fractional wave equations in \(L^p\)-space. Zbl 1532.35506 Zhao, Yongqiang; Tang, Yanbin 1 2023 An artificial neural network approach for a class of time-fractional diffusion and diffusion-wave equations. Zbl 1532.65096 Ye, Yinlin; Fan, Hongtao; Li, Yajing; Huang, Ao; He, Weiheng 1 2023 Hypertemperature effects in heterogeneous media and thermal flux at small-length scales. Zbl 1535.80014 Nika, Grigor; Muntean, Adrian 1 2023 Global well-posedness and asymptotic behavior of \(BV\) solutions to a system of balance laws arising in traffic flow. Zbl 1535.90045 Li, Tong; Mathur, Nitesh 1 2023 Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems. Zbl 1542.65103 Bazán, Fermín S. V.; Bedin, Luciano; Leem, Koung Hee; Liu, Jun; Pelekanos, George 1 2023 Mean-field limit of a hybrid system for multi-lane car-truck traffic. Zbl 1535.90040 Chiri, Maria Teresa; Gong, Xiaoqian; Piccoli, Benedetto 1 2023 A transformed \(L1\) Legendre-Galerkin spectral method for time fractional Fokker-Planck equations. Zbl 1534.65201 Huang, Diandian; Huang, Xin; Qin, Tingting; Zhou, Yongtao 1 2023 Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation. Zbl 1534.65140 Li, Kexin; Chen, Hu; Xie, Shusen 1 2023 Non-emergence of mono-cluster flocking and multi-cluster flocking of the thermodynamic Cucker-Smale model with a unit-speed constraint. Zbl 1533.80004 Ahn, Hyunjin 1 2023 Two high-order compact difference schemes with temporal graded meshes for time-fractional Black-Scholes equation. Zbl 1542.91424 Gu, Jie; Nong, Lijuan; Yi, Qian; Chen, An 1 2023 Synchronization of the generalized Kuramoto model with time delay and frustration. Zbl 1542.34058 Zhu, Tingting 1 2023 Multi-output physics-informed neural network for one- and two-dimensional nonlinear time distributed-order models. Zbl 1535.65230 Liu, Wenkai; Liu, Yang; Li, Hong; Yang, Yining 1 2023 Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143 Bellomo, Nicola; Burini, Diletta; Outada, Nisrine 22 2022 Compactness property of the linearized Boltzmann operator for a diatomic single gas model. Zbl 1497.76117 Brull, Stéphane; Shahine, Marwa; Thieullen, Philippe 11 2022 Well-posedness theory for nonlinear scalar conservation laws on networks. Zbl 1485.65097 Musch, Markus; Fjordholm, Ulrik Skre; Risebro, Nils Henrik 9 2022 Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. Zbl 1498.65016 Bertaglia, Giulia; Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu 8 2022 An SIR-like kinetic model tracking individuals’ viral load. Zbl 1497.92279 Marca, Rossella Della; Loy, Nadia; Tosin, Andrea 7 2022 An explicit finite volume algorithm for vanishing viscosity solutions on a network. Zbl 1487.90206 Towers, John D. 5 2022 A study of computational and conceptual complexities of compartment and agent based models. Zbl 1501.92168 Kunwar, Prateek; Markovichenko, Oleksandr; Chyba, Monique; Mileyko, Yuriy; Koniges, Alice; Lee, Thomas 4 2022 A measure model for the spread of viral infections with mutations. Zbl 1501.92157 Gong, Xiaoqian; Piccoli, Benedetto 4 2022 Optimization of vaccination for COVID-19 in the midst of a pandemic. Zbl 1501.92087 Luo, Qi; Weightman, Ryan; McQuade, Sean T.; Díaz, Mateo; Trélat, Emmanuel; Barbour, William; Work, Dan; Samaranayake, Samitha; Piccoli, Benedetto 4 2022 Mean-field limit of collective dynamics with time-varying weights. Zbl 1497.37011 Duteil, Nastassia Pouradier 4 2022 An atomistic derivation of von-Kármán plate theory. Zbl 1502.70014 Braun, Julian; Schmidt, Bernd 4 2022 Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Zbl 1496.35405 Erbar, Matthias; Forkert, Dominik; Maas, Jan; Mugnolo, Delio 4 2022 Vaccination strategies through intra-compartmental dynamics. Zbl 1501.92084 Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena 3 2022 Telegraph systems on networks and port-Hamiltonians. II: Network realizability. Zbl 1487.35385 Banasiak, Jacek; Błoch, Adam 3 2022 Stochastic two-scale convergence and Young measures. Zbl 1493.74101 Heida, Martin; Neukamm, Stefan; Varga, Mario 3 2022 Asymptotic analysis of an elastic material reinforced with thin fractal strips. Zbl 1490.35483 El Jarroudi, Mustapha; Filali, Youness; Lahrouz, Aadil; Er-Riani, Mustapha; Settati, Adel 2 2022 Homogenization of stiff inclusions through network approximation. Zbl 1489.35008 Gérard-Varet, David; Girodroux-Lavigne, Alexandre 2 2022 Nonlocal reaction traffic flow model with on-off ramps. Zbl 1490.65166 Chiarello, Felisia Angela; Contreras, Harold Deivi; Villada, Luis Miguel 2 2022 Stability analysis of microscopic models for traffic flow with lane changing. Zbl 1504.76010 Piu, Matteo; Puppo, Gabriella 2 2022 A periodic homogenization problem with defects rare at infinity. Zbl 1496.35044 Goudey, Rémi 2 2022 Uniform stability of the Cucker-Smale and thermodynamic Cucker-Smale ensembles with singular kernels. Zbl 1493.34156 Ahn, Hyunjin 2 2022 Advanced mathematical methodologies to contrast COVID-19 pandemic. Zbl 07607846 1 2022 Estimate of traffic emissions through multiscale second order models with heterogeneous data. Zbl 1500.35208 Balzotti, Caterina; Briani, Maya 1 2022 Emergence of synchronization in Kuramoto model with frustration under general network topology. Zbl 1485.34141 Zhu, Tingting 1 2022 Martingale solutions of stochastic nonlocal cross-diffusion systems. Zbl 1497.60084 Bendahmane, Mostafa; Karlsen, Kenneth H. 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 1465.34010 Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 10 2021 Influence of a slow moving vehicle on traffic: well-posedness and approximation for a mildly nonlocal model. Zbl 1469.35146 Sylla, Abraham 7 2021 An inverse problem for quantum trees with observations at interior vertices. Zbl 1469.35244 Avdonin, Sergei; Edward, Julian 5 2021 Opinion fitness and convergence to consensus in homogeneous and heterogeneous populations. Zbl 1468.91117 Pérez-Llanos, Mayte; Pinasco, Juan Pablo; Saintier, Nicolas 4 2021 Bi-continuous semigroups for flows on infinite networks. Zbl 1481.35367 Budde, Christian; Fijavž, Marjeta Kramar 3 2021 Convergence rates for the homogenization of the Poisson problem in randomly perforated domains. Zbl 1481.35034 Giunti, Arianna 3 2021 Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure. Zbl 1469.35141 Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G. 3 2021 Rumor spreading dynamics with an online reservoir and its asymptotic stability. Zbl 1478.92186 Choi, Sun-Ho; Seo, Hyowon 2 2021 Multiple patterns formation for an aggregation/diffusion predator-prey system. Zbl 1481.35054 Fagioli, Simone; Jaafra, Yahya 2 2021 A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. Zbl 1473.65095 Bürger, Raimund; Chalons, Christophe; Ordoñez, Rafael; Villada, Luis Miguel 2 2021 Convex and quasiconvex functions in metric graphs. Zbl 1478.05041 Pezzo, Leandro M. Del; Frevenza, Nicolás; Rossi, Julio D. 1 2021 Vanishing viscosity for a \(2 \times 2\) system modeling congested vehicular traffic. Zbl 1481.35271 Coclite, Giuseppe Maria; De Nitti, Nicola; Garavello, Mauro; Marcellini, Francesca 1 2021 Properties of the LWR model with time delay. Zbl 1469.35145 Göttlich, Simone; Iacomini, Elisa; Jung, Thomas 1 2021 A new model for the emergence of blood capillary networks. Zbl 1467.92030 Aceves-Sanchez, Pedro; Aymard, Benjamin; Peurichard, Diane; Kennel, Pol; Lorsignol, Anne; Plouraboué, Franck; Casteilla, Louis; Degond, Pierre 1 2021 Relative entropy method for the relaxation limit of hydrodynamic models. Zbl 1455.35181 Carrillo, José Antonio; Peng, Yingping; Wróblewska-Kamińska, Aneta 12 2020 Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285 Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas 11 2020 Homogenization of Bingham flow in thin porous media. Zbl 1434.76017 Anguiano, María; Bunoiu, Renata 10 2020 Perturbation analysis of the effective conductivity of a periodic composite. Zbl 1451.74066 Luzzini, Paolo; Musolino, Paolo 8 2020 The selection problem for some first-order stationary mean-field games. Zbl 1455.35261 Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo 8 2020 A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity. Zbl 1446.65155 Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo 7 2020 Deep neural network approach to forward-inverse problems. Zbl 1442.35474 Jo, Hyeontae; Son, Hwijae; Hwang, Hyung Ju; Kim, Eun Heui 7 2020 Modelling pattern formation through differential repulsion. Zbl 1451.35227 Barré, Julien; Degond, Pierre; Peurichard, Diane; Zatorska, Ewelina 7 2020 Kinetic modelling of multiple interactions in socio-economic systems. Zbl 1451.35103 Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia 6 2020 A remark about the periodic homogenization of certain composite fibered media. Zbl 1441.35028 Murat, François; Sili, Ali 5 2020 Vanishing viscosity on a star-shaped graph under general transmission conditions at the node. Zbl 1446.35074 Coclite, Giuseppe Maria; Donadello, Carlotta 5 2020 Micro- and macroscopic modeling of crowding and pushing in corridors. Zbl 1455.91175 Fischer, Michael; Jankowiak, Gaspard; Wolfram, Marie-Therese 5 2020 Mean field models for large data-clustering problems. Zbl 1451.82045 Herty, Michael; Pareschi, Lorenzo; Visconti, Giuseppe 4 2020 New coupling conditions for isentropic flow on networks. Zbl 1455.35193 Holle, Yannick; Herty, Michael; Westdickenberg, Michael 4 2020 Mathematical analysis of transmission properties of electromagnetic meta-materials. Zbl 1441.35029 Ohlberger, Mario; Schweizer, Ben; Urban, Maik; Verfürth, Barbara 3 2020 Swarms dynamics approach to behavioral economy: theoretical tools and price sequences. Zbl 1451.82063 Bellomo, Nicola; De Nigris, Sarah; Knopoff, Damián; Morini, Matteo; Terna, Pietro 3 2020 Efficient numerical methods for gas network modeling and simulation. Zbl 1457.76013 Qiu, Yue; Grundel, Sara; Stoll, Martin; Benner, Peter 3 2020 Matrix valued inverse problems on graphs with application to mass-spring-damper systems. Zbl 1437.05136 Draper, Travis G.; Vasquez, Fernando Guevara; Tse, Justin Cheuk-Lum; Wallengren, Toren E.; Zheng, Kenneth 2 2020 The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles. Zbl 1436.65112 Towers, John D. 2 2020 Convexity and starshapedness of feasible sets in stationary flow networks. Zbl 1441.90108 Gugat, Martin; Schultz, Rüdiger; Schuster, Michael 2 2020 Comparative study of macroscopic traffic flow models at road junctions. Zbl 1452.35098 Goatin, Paola; Rossi, Elena 2 2020 Special issue on mathematical models for collective dynamics. Zbl 1531.00026 2 2020 A BGK kinetic model with local velocity alignment forces. Zbl 1451.35100 Choi, Young-Pil; Yun, Seok-Bae 2 2020 The general non-abelian Kuramoto model on the 3-sphere. Zbl 1441.34050 Jaćimović, Vladimir; Crnkić, Aladin 1 2020 Nonlinear stability of stationary solutions to the Kuramoto-Sakaguchi equation with frustration. Zbl 1455.93143 Ha, Seung-Yeal; Park, Hansol; Zhang, Yinglong 1 2020 Bounded confidence dynamics and graph control: enforcing consensus. Zbl 1455.91181 Li, GuanLin; Motsch, Sebastien; Weber, Dylan 1 2020 ...and 445 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,567 Authors 66 Ha, Seung-Yeal 63 Herty, Michael Matthias 49 Göttlich, Simone 48 Piccoli, Benedetto 37 Coclite, Giuseppe Maria 37 Du, Yihong 36 Gugat, Martin 34 Goatin, Paola 32 Xu, Gen-Qi 30 Braides, Andrea 29 Wang, Mingxin 28 Bendahmane, Mostafa 26 Gomes, Diogo Luís Aguiar 25 Carrillo de la Plata, José Antonio 24 Andreianov, Boris 24 Bellomo, Nicola 24 Rosini, Massimiliano Daniele 23 Di Ruvo, Lorenzo 23 Keimer, Alexander 22 Tosin, Andrea 22 Wang, Zhicheng 21 Garavello, Mauro 21 Leugering, Günter 20 Cicalese, Marco 19 Colombo, Rinaldo M. 17 Choi, Young-Pil 17 D’Apice, Ciro 17 Kim, Dohyun 17 Nicaise, Serge 17 Pareschi, Lorenzo 17 Ruiz-Baier, Ricardo 17 Surulescu, Christina 16 Klar, Axel 16 Lou, Bendong 16 Mugnolo, Delio 16 Muntean, Adrian 16 Pflug, Lukas 16 Stefanelli, Ulisse 15 Bürger, Raimund 15 Camilli, Fabio 15 Chiarello, Felisia Angela 15 Kolb, Oliver 15 Santambrogio, Filippo 15 Winkler, Michael 14 Borsche, Raul 14 Cardaliaguet, Pierre 14 Chaplain, Mark A. J. 14 Li, Wan-Tong 14 Nazarov, Sergeĭ Aleksandrovich 14 Zanella, Mattia 13 Cannarsa, Piermarco 13 Coron, Jean-Michel 13 Di Francesco, Marco 13 Friedrich, Manuel 13 Han, Zhongjie 13 Piatnitski, Andrey L. 13 Preziosi, Luigi 13 Risebro, Nils Henrik 13 Schweizer, Ben 13 Shim, Woojoo 12 Achdou, Yves 12 Ahn, Hyunjin 12 Bertozzi, Andrea Louise 12 Burger, Martin 12 Degond, Pierre 12 Friedrich, Jan 12 Karlsen, Kenneth Hvistendahl 12 Kim, Jeongho 12 Marcellini, Francesca 12 Mel’nyk, Taras A. 12 Novaga, Matteo 12 Panasenko, Grigory P. 12 Porretta, Alessio 12 Prieur, Christophe 12 Punzo, Fabio 12 Sun, Ningkui 12 Tao, Youshan 12 Timofte, Claudia 12 Towers, John D. 12 Trucu, Dumitru 12 Wolfram, Marie-Therese 12 Wu, Changhong 11 Cancès, Clément 11 Corli, Andrea 11 Knopoff, Damian A. 11 Manzo, Rosanna 11 Perthame, Benoît 11 Stavre, Ruxandra 11 Toscani, Giuseppe 11 Zhao, Meng 11 Zhou, Maolin 11 Zuazua, Enrique 10 Albi, Giacomo 10 Alicandro, Roberto 10 Banasiak, Jacek 10 Beauchard, Karine 10 Bressan, Alberto 10 Bu, Zhenhui 10 Bunoiu, Renata 10 Cristiani, Emiliano ...and 4,467 more Authors all top 5 Cited in 438 Journals 149 Networks and Heterogeneous Media 133 Journal of Differential Equations 133 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 95 Journal of Mathematical Analysis and Applications 82 SIAM Journal on Mathematical Analysis 71 Discrete and Continuous Dynamical Systems. Series B 69 Archive for Rational Mechanics and Analysis 68 Mathematical Methods in the Applied Sciences 64 Discrete and Continuous Dynamical Systems 61 Calculus of Variations and Partial Differential Equations 54 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 SIAM Journal on Control and Optimization 46 Nonlinear Analysis. Real World Applications 45 Journal of Computational Physics 44 ZAMP. Zeitschrift für angewandte Mathematik und Physik 42 Automatica 42 SIAM Journal on Applied Mathematics 40 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 Journal of Mathematical Biology 38 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 36 Computers & Mathematics with Applications 35 Nonlinearity 34 Multiscale Modeling & Simulation 34 Discrete and Continuous Dynamical Systems. Series S 34 Kinetic and Related Models 32 Physica D 31 Applicable Analysis 31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Applied Mathematics and Optimization 30 Journal of Dynamics and Differential Equations 29 Journal of Statistical Physics 29 NoDEA. Nonlinear Differential Equations and Applications 28 Acta Applicandae Mathematicae 28 Journal of Scientific Computing 26 Applied Mathematics and Computation 24 Physica A 24 Communications in Partial Differential Equations 24 Journal of Hyperbolic Differential Equations 24 Mathematical Control and Related Fields 23 Journal of Computational and Applied Mathematics 23 Journal of Theoretical Biology 22 Numerische Mathematik 20 Computer Methods in Applied Mechanics and Engineering 20 Journal of Mathematical Physics 20 Systems & Control Letters 20 European Journal of Applied Mathematics 20 Journal of Nonlinear Science 20 Journal of Evolution Equations 19 International Journal of Control 19 SIAM Journal on Numerical Analysis 19 Applied Mathematics Letters 19 Communications on Pure and Applied Analysis 19 Dynamic Games and Applications 18 Numerical Methods for Partial Differential Equations 18 Journal of Mathematical Sciences (New York) 17 Bulletin of Mathematical Biology 17 Journal of Functional Analysis 17 Applied Numerical Mathematics 17 Applied Mathematical Modelling 17 SIAM Journal on Scientific Computing 17 Mathematical Biosciences and Engineering 16 Communications in Nonlinear Science and Numerical Simulation 16 SIAM Journal on Applied Dynamical Systems 15 Journal of Optimization Theory and Applications 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Evolution Equations and Control Theory 14 Mathematics and Computers in Simulation 14 Asymptotic Analysis 14 Mathematical Modelling of Natural Phenomena 14 SN Partial Differential Equations and Applications 13 Quarterly of Applied Mathematics 13 Journal of Dynamics and Games 12 Interfaces and Free Boundaries 11 Mathematics of Computation 11 Studies in Applied Mathematics 11 Vietnam Journal of Mathematics 11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 10 Communications in Mathematical Physics 10 Journal of the Franklin Institute 10 Advances in Mathematics 10 Continuum Mechanics and Thermodynamics 10 Chaos 9 Semigroup Forum 9 Optimal Control Applications & Methods 9 MCSS. Mathematics of Control, Signals, and Systems 9 Computational Geosciences 9 Journal of Statistical Mechanics: Theory and Experiment 9 Boundary Value Problems 9 Minimax Theory and its Applications 8 Computers and Fluids 8 Applications of Mathematics 8 Stochastic Processes and their Applications 8 Annales Henri Poincaré 8 Bulletin of the Brazilian Mathematical Society. New Series 8 Mediterranean Journal of Mathematics 8 Journal of Physics A: Mathematical and Theoretical 8 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 BIT ...and 338 more Journals all top 5 Cited in 51 Fields 2,464 Partial differential equations (35-XX) 793 Biology and other natural sciences (92-XX) 621 Numerical analysis (65-XX) 549 Fluid mechanics (76-XX) 449 Systems theory; control (93-XX) 431 Calculus of variations and optimal control; optimization (49-XX) 406 Operations research, mathematical programming (90-XX) 353 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 337 Mechanics of deformable solids (74-XX) 277 Statistical mechanics, structure of matter (82-XX) 221 Ordinary differential equations (34-XX) 189 Probability theory and stochastic processes (60-XX) 122 Operator theory (47-XX) 100 Dynamical systems and ergodic theory (37-XX) 83 Computer science (68-XX) 82 Integral equations (45-XX) 76 Combinatorics (05-XX) 64 Mechanics of particles and systems (70-XX) 48 Differential geometry (53-XX) 45 Classical thermodynamics, heat transfer (80-XX) 43 Optics, electromagnetic theory (78-XX) 36 Quantum theory (81-XX) 32 Statistics (62-XX) 26 Real functions (26-XX) 25 Functional analysis (46-XX) 24 Difference and functional equations (39-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Measure and integration (28-XX) 19 Information and communication theory, circuits (94-XX) 11 General and overarching topics; collections (00-XX) 10 Approximations and expansions (41-XX) 9 Potential theory (31-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Convex and discrete geometry (52-XX) 8 Geophysics (86-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 4 Astronomy and astrophysics (85-XX) 3 Integral transforms, operational calculus (44-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year