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Author ID: bellomo.nicola Recent zbMATH articles by "Bellomo, Nicola"
Published as: Bellomo, N.; Bellomo, Nicola
Homepage: http://staff.polito.it/nicola.bellomo/
External Links: MGP · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

14 single-authored
23 Bellouquid, Abdelghani
21 Brezzi, Franco
14 Soler, Juan S.
12 Gibelli, Livio
11 Lachowicz, Mirosław
9 Knopoff, Damian A.
9 Riganti, Riccardo
8 De Angelis, Elena
8 Pistone, Giovanni
8 Preziosi, Luigi
8 Toscani, Giuseppe
8 Winkler, Michael
7 Arlotti, Luisa
7 Monaco, Roberto
7 Outada, Nisrine
6 Nieto, Juanjo
6 Tao, Youshan
5 Chaplain, Mark A. J.
5 Coscia, Vincenzo
5 Delitala, Marcello Edoardo
5 Fermo, Luisa
5 Polewczak, Jacek
4 Bonzani, Ida
4 de Socio, Luciano M.
4 Ha, Seung-Yeal
4 Loiodice, Rocco
4 Vacca, Maria Teresa
3 Aylaj, Bouchra
3 Bianca, Carlo
3 Carbonaro, Bruno
3 Dosi, Giovanni
3 Forni, Guido
3 Pulvirenti, Mario
3 Rizzi, Guido
3 Romano, Antonio
3 Tadmor, Eitan
3 Teppati, Giancarlo
3 Tosin, Andrea
3 Virgillito, Maria Enrica
2 Adomian, George
2 Ajmone Marsan, Giulia
2 Battaglio, M.
2 Berestycki, Henri
2 Bertacca, Daniele
2 Bertotti, Maria Letizia
2 Burini, Diletta
2 Chouhad, Nadia
2 De Lillo, Silvana
2 Degond, Pierre
2 Dogbé, Christian
2 Gatignol, Renée
2 Herrero, Miguel Ángel
2 Lo Schiavo, Mauro
2 Maini, Philip Kumar
2 Mamontov, Eugen
2 Matarrese, Sabino
2 Nadal, Jean-Pierre
2 Palczewski, Andrzej
2 Quaini, Annalisa
2 Raccanelli, Alvise
2 Reali, Alessandro
2 Ridolfi, Luca
2 Terna, Pietro
2 Willander, Magnus
2 Zavattaro, M. G.
1 Adam, John A.
1 Albi, Giacomo
1 Ambrosi, Davide
1 Ammon, D.
1 Antonelli, Dario
1 Arnod, S.
1 Augusti, Giuliano
1 Baratta, Alessandro
1 Bartolo, Nicola
1 Beirão da Veiga, Lourenço
1 Bérard, Pierre H.
1 Berrone, Stefano
1 Bigi, Dante
1 Bingham, Richard
1 Bruno, Luca
1 Brzeźniak, Zdzisław
1 Cafaro, Emilio
1 Calander, Nils
1 Carloni, A.
1 Carrillo de la Plata, José Antonio
1 Casciati, Fabio
1 Cazzulo, R.
1 Chilosi, M.
1 Colasuonno, Francesca
1 Corsanego, Alfredo
1 De Nigris, Sarah
1 Di Paola, Mario
1 Ditlevsen, Ove
1 Dogliani, M.
1 Egidi, Massimo
1 Elishakoff, Isaac
1 Esteban, Maria J.
1 Falsone, Giovanni
1 Faravelli, Lucia
1 Firmani, Bruno
...and 82 more Co-Authors
all top 5

Serials

54 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Mathematical and Computer Modelling
12 Modeling and Simulation in Science, Engineering and Technology
10 Computers & Mathematics with Applications
10 Applied Mathematics Letters
7 L’Aerotecnica, Missili e Spazio
5 Journal of Mathematical Analysis and Applications
5 Series on Advances in Mathematics for Applied Sciences
4 Transport Theory and Statistical Physics
4 Meccanica
4 Networks and Heterogeneous Media
3 Mathematics and Computers in Simulation
3 Mechanics Research Communications
3 Discrete and Continuous Dynamical Systems. Series B
3 Kinetic and Related Models
2 International Journal of Non-Linear Mechanics
2 Journal of Mathematical Physics
2 Reviews in Mathematical Physics
2 Applied Mathematical Modelling
2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
2 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Computers and Mathematics with Applications. Part A
2 Journal of Theoretical Medicine
2 Comptes Rendus. Mécanique. Académie des Sciences, Paris
2 Journal of Cosmology and Astroparticle Physics
1 International Journal of Modern Physics B
1 Computers and Fluids
1 Journal of Statistical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali
1 Journal of Differential Equations
1 Ricerche di Matematica
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Mathematical Modelling
1 Atti del Seminario Matematico e Fisico dell’Università di Modena
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 European Mathematical Society Newsletter
1 Mathematics and Mechanics of Solids
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura
1 Nonlinear Analysis. Real World Applications
1 Multiscale Modeling & Simulation
1 Communications in Mathematical Sciences
1 Differential Equations & Nonlinear Mechanics
1 Mathematics and its Applications (Dordrecht)
1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Series in Mathematical Biology and Medicine
1 Journal of Physics A: Mathematical and Theoretical
1 Nonlinear Analysis. Hybrid Systems
1 Discrete and Continuous Dynamical Systems. Series S
1 Synthesis Lectures on Mathematics & Statistics
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Theoretical Biology
1 L’Aerotecnica
1 Transactions of the American Mathematical Society. Series B
1 SpringerBriefs in Mathematics

Publications by Year

Citations contained in zbMATH Open

202 Publications have been cited 4,618 times in 2,385 Documents Cited by Year
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
645
2015
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
210
2008
Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211
Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J.
135
2019
On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123
Bellomo, Nicola; Dogbe, Christian
121
2011
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
98
2010
Modelling and mathematical problems related to tumor evolution and its interaction with the immune system. Zbl 0997.92020
Bellomo, N.; Preziosi, L.
91
2000
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
83
2012
A survey of models for tumor-immune system dynamics. Zbl 0874.92020
79
1997
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029
Bellomo, N.; Bellouquid, A.; Delitala, M.
69
2004
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
68
2013
Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007
Bellomo, Nicola
67
2008
Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325
Arlotti, L.; Bellomo, N.; De Angelis, E.
66
2002
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
66
2008
A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166
Bellomo, Nicola; Winkler, Michael
65
2017
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
61
2007
Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044
Bellomo, Nicola; Winkler, Michael
61
2017
On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061
Bellomo, N.; Delitala, M.; Coscia, V.
57
2002
Dynamics of tumor interaction with the host immune system. Zbl 0811.92014
Bellomo, N.; Forni, G.
56
1994
Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053
Marsan, G. Ajmone; Bellomo, N.; Gibelli, L.
55
2016
Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael
54
2019
A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276
Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica
54
2020
On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
53
2012
A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077
Bellomo, Nicola; Ha, Seung-Yeal
53
2017
On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability. Zbl 0561.35074
Bellomo, N.; Toscani, G.
52
1985
Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042
Bellomo, Nicola; Gibelli, Livio
51
2015
From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid. Zbl 1353.35038
Bellomo, N.; Bellouquid, A.; Chouhad, N.
51
2016
From the microscale to collective crowd dynamics. Zbl 1280.90019
Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian
50
2013
Mathematical topics in nonlinear kinetic theory. Zbl 0702.76005
Bellomo, Nicola; Palczewski, Andrzej; Toscani, Giuseppe
49
1988
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
48
2013
Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192
Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea
46
2012
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
46
2019
Modelling mathematical methods and scientific computation. Zbl 0871.65001
Bellomo, Nicola; Preziosi, Luigi
44
1995
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M.
42
2022
Strategies of applied mathematics towards an immuno-mathematical theory on tumors and immune system interactions. Zbl 0947.92014
Bellomo, N.; De Angelis, E.
40
1998
A comparison between Adomian’s decomposition methods and perturbation techniques for nonlinear random differential equations. Zbl 0575.60064
Bellomo, Nicola; Monaco, Roberto
38
1985
Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods. Zbl 0898.65074
Bellomo, N.
38
1997
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
36
2020
Nonlinear stochastic systems in physics and mechanics. Zbl 0623.60084
Bellomo, Nicola; Riganti, Riccardo
35
1987
Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition. Zbl 0932.92016
Bellomo, N.; Firmani, B.; Guerri, L.
34
1999
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357
Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo
33
2008
Multiscale modeling and mathematical problems related to tumor evolution and medical therapy. Zbl 1107.92020
Bellomo, Nicola; De Angelis, Elena; Preziosi, Luigi
31
2003
From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021
Bellomo, N.; Bellouquid, A.
31
2004
Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002
Bellomo, Nicola; Forni, Guido
31
2006
On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029
Bellomo, Nicola; Bellouquid, Abdelghani
31
2015
A unified multiscale vision of behavioral crowds. Zbl 1434.91046
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro
31
2020
On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis. Zbl 1160.76403
Bellomo, Nicola; Bellouquid, Abdelghani
30
2006
Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045
30
2017
From the modelling of driver’s behavior to hydrodynamic models and problems of traffic flow. Zbl 1005.90016
Bellomo, N.; Marasco, A.; Romano, A.
28
2002
Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
28
2010
Kinetic equations modelling population dynamics. Zbl 0946.92019
Arlotti, L.; Bellomo, N.; Lachowicz, M.
27
2000
From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications. Zbl 1043.92518
Arlotti, L.; Bellomo, N.; Latrach, K.
27
1999
Solution of a new class of nonlinear kinetic models of population dynamics. Zbl 0853.35050
Arlotti, L.; Bellomo, N.
27
1996
What is life? A perspective of the mathematical kinetic theory of active particles. Zbl 1480.92012
Bellomo, Nicola; Burini, Diletta; Dosi, Giovanni; Gibelli, Livio; Knopoff, Damian; Outada, Nisrine; Terna, Pietro; Virgillito, Maria Enrica
27
2021
Stochastic partial differential equations in continuum physics - on the foundations of the stochastic interpolation method for Ito’s type equations. Zbl 0706.60063
Bellomo, N.; Flandoli, F.
25
1989
A quest towards a mathematical theory of living systems. Zbl 1381.92001
Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine
25
2017
On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
25
2014
Complex systems and society. Modeling and simulation. Zbl 1328.00108
Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea
25
2013
Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061
Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G.
24
1991
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
23
2015
Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042
Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro
23
2022
Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica. Zbl 1058.65110
Bellomo, N.; De Angelis, E.; Graziano, L.; Romano, A.
22
2001
First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow. Zbl 1177.90076
Bellomo, Nicola; Coscia, Vincenzo
22
2005
On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme. Zbl 0624.60079
Bellomo, N.; Sarafyan, D.
22
1987
From primordial black holes abundance to primordial curvature power spectrum (and back). Zbl 1515.83155
Kalaja, Alba; Bellomo, Nicola; Bartolo, Nicola; Bertacca, Daniele; Matarrese, Sabino; Musco, Ilia; Raccanelli, Alvise; Verde, Licia
22
2019
Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods. Zbl 0822.65075
Bellomo, N.; Ridolfi, L.
21
1995
The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives. Zbl 1022.92012
Bellomo, N.; Bellouquid, A.; De Angelis, E.
21
2003
Population dynamics with stochastic interaction. Zbl 0838.92018
Arlotti, L.; Bellomo, N.
20
1995
On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052
Bellomo, Nicola; Bellouquid, Abdelghani
20
2011
Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031
Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola
19
2007
From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025
Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A.
18
2007
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
18
2010
The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results. Zbl 0633.35072
Toscani, G.; Bellomo, N.
17
1987
Lecture notes on the mathematical theory of generalized Boltzmann models. Zbl 0983.82012
Bellomo, Nicola; Lo Schiavo, Mauro
17
2000
On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237
Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G.
17
1989
Nonlinear stochastic evolution problems in applied sciences. Zbl 0770.60061
Bellomo, N.; Brzezniak, Z.; de Socio, L. M.
17
1992
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
17
2008
Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030
Bellomo, N.; Gibelli, L.
17
2016
The discrete Boltzmann equation: A review of the mathematical aspects of the initial and initial-boundary value problems. Zbl 0737.76065
Bellomo, N.; Gustafsson, T.
15
1991
On a class of integro-differential equations modeling complex systems with nonlinear interactions. Zbl 1243.82046
Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N.
15
2012
Modeling in applied sciences. A kinetic theory approach. Zbl 0938.00011
14
2000
From the Boltzmann equation to generalized kinetic models in applied sciences. Zbl 0897.76082
Bellomo, N.; Lo Schiavo, M.
14
1997
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
14
2008
Modeling behavioral social systems. Zbl 1355.00017
13
2017
Towards a mathematical theory of behavioral swarms. Zbl 1459.82166
Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine
13
2020
Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143
Bellomo, Nicola; Burini, Diletta; Outada, Nisrine
13
2022
Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049
Bellomo, N.; Maini, P. K.
12
2007
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
12
2014
Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117
Bellomo, N.
11
2010
Time evolution and fluctuations of the probability density and entropy function for a class of nonlinear stochastic systems in mathematical physics. Zbl 0604.93052
Bellomo, N.; Riganti, R.
11
1986
The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem. Zbl 0706.76084
Bellomo, N.; Kawashima, S.
11
1990
Random heat equation: Solutions by the stochastic adaptive interpolation method. Zbl 0661.60082
Bellomo, N.; de Socio, L. M.; Monaco, R.
10
1988
On the mathematical theory of living systems. II: The interplay between mathematics and system biology. Zbl 1236.92005
Coscia, V.; Fermo, L.; Bellomo, N.
10
2011
Generalized kinetic models in applied sciences. Lecture notes on mathematical problem. Zbl 1073.82001
Arlotti, Luisa; Bellomo, Nicola; De Angelis, Elena; Lachowicz, Miroslaw
10
2003
Modelling tumor progression, heterogeneity, and immune competition. Zbl 1050.92026
Ambrosi, D.; Bellomo, N.; Preziosi, L.
10
2002
Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024
Bellomo, N.; Brezzi, F.
10
2016
The semicontinuous Boltzmann equation: Towards a model for fluid dynamic applications. Zbl 0770.76057
Longo, E.; Preziosi, L.; Bellomo, N.
9
1993
On the mathematical modelling of physical systems by ordinary differential stochastic equations. Zbl 0547.60060
Bellomo, N.; Cafaro, E.; Rizzi, G.
9
1984
Towards a mathematical theory of complex biological systems. Zbl 1286.92003
Bianca, Carlo; Bellomo, Nicola
9
2011
On the asymptotic equivalence between the Enskog and the Boltzmann equations. Zbl 1086.82539
Bellomo, N.; Lachowicz, M.
9
1988
Mathematics and complexity in human and life sciences. Zbl 1175.00022
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
9
2009
Human behavioral crowds review, critical analysis and research perspectives. Zbl 1517.90024
Bellomo, Nicola; Liao, Jie; Quaini, Annalisa; Russo, Lucia; Siettos, Constantinos
2
2023
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M.
42
2022
Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042
Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro
23
2022
Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143
Bellomo, Nicola; Burini, Diletta; Outada, Nisrine
13
2022
CLASS_GWB: robust modeling of the astrophysical gravitational wave background anisotropies. Zbl 1506.83008
Bellomo, Nicola; Bertacca, Daniele; Jenkins, Alexander C.; Matarrese, Sabino; Raccanelli, Alvise; Regimbau, Tania; Ricciardone, Angelo; Sakellariadou, Mairi
8
2022
On the mathematical theory of behavioral swarms emerging collective dynamics. Zbl 1515.92094
Bellomo, N.; Ha, S.-Y.; Outada, N.; Yoon, J.
3
2022
Predicting pandemics in a globally connected world. Volume 1. Toward a multiscale, multidisciplinary framework through modeling and simulation. Zbl 1495.92004
1
2022
What is life? A perspective of the mathematical kinetic theory of active particles. Zbl 1480.92012
Bellomo, Nicola; Burini, Diletta; Dosi, Giovanni; Gibelli, Livio; Knopoff, Damian; Outada, Nisrine; Terna, Pietro; Virgillito, Maria Enrica
27
2021
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems. Zbl 1484.00091
5
2021
Recent results and perspectives for virtual element methods. Zbl 1478.65112
Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D.
3
2021
Collective dynamics in science and society. Zbl 1485.35357
Bellomo, N.; Brezzi, F.
1
2021
Crowd dynamics by kinetic theory modeling. Complexity, modeling, simulations, and safety. Zbl 1457.91002
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Knopoff, Damián
1
2021
On the interaction between soft and hard sciences: the role of mathematical sciences. Looking ahead to research perspectives. Zbl 1464.35354
Aylaj, B.; Bellomo, N.; Chouhad, N.; Knopoff, D.
1
2021
A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276
Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica
54
2020
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
36
2020
A unified multiscale vision of behavioral crowds. Zbl 1434.91046
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro
31
2020
Towards a mathematical theory of behavioral swarms. Zbl 1459.82166
Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine
13
2020
From particles to firms: on the kinetic theory of climbing up evolutionary landscapes. Zbl 1445.82020
Bellomo, Nicola; Dosi, Giovanni; Knopoff, Damián A.; Virgillito, Maria Enrica
8
2020
Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062
Bellomo, N.; Tao, Y.; Winkler, M.
5
2020
Active particles methods and challenges in behavioral systems. Zbl 1454.35392
Bellomo, N.; Brezzi, F.; Soler, J.
4
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
2
2020
Recent results and challenges in behavioral systems. Zbl 07291075
1
2020
Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211
Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J.
135
2019
Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael
54
2019
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
46
2019
From primordial black holes abundance to primordial curvature power spectrum (and back). Zbl 1515.83155
Kalaja, Alba; Bellomo, Nicola; Bartolo, Nicola; Bertacca, Daniele; Matarrese, Sabino; Musco, Ilia; Raccanelli, Alvise; Verde, Licia
22
2019
Active particles, Volume 2. Advances in theory, models, and applications. Zbl 1427.74004
7
2019
Challenges in active particles methods: theory and applications. Zbl 1411.35149
Bellomo, N.; Brezzi, F.
9
2018
Crowd dynamics, Volume 1. Theory, models, and safety problems. Zbl 1410.92004
5
2018
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
3
2018
A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166
Bellomo, Nicola; Winkler, Michael
65
2017
Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044
Bellomo, Nicola; Winkler, Michael
61
2017
A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077
Bellomo, Nicola; Ha, Seung-Yeal
53
2017
Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045
30
2017
A quest towards a mathematical theory of living systems. Zbl 1381.92001
Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine
25
2017
Modeling behavioral social systems. Zbl 1355.00017
13
2017
Mathematical models of self-propelled particles. Zbl 1370.82034
Bellomo, N.; Brezzi, F.
5
2017
Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053
Marsan, G. Ajmone; Bellomo, N.; Gibelli, L.
55
2016
From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid. Zbl 1353.35038
Bellomo, N.; Bellouquid, A.; Chouhad, N.
51
2016
Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030
Bellomo, N.; Gibelli, L.
17
2016
Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024
Bellomo, N.; Brezzi, F.
10
2016
Macroscopic first order models of multicomponent human crowds with behavioral dynamics. Zbl 1356.91079
Bellomo, N.; Berrone, S.; Gibelli, L.; Pieri, A. B.
2
2016
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
645
2015
Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042
Bellomo, Nicola; Gibelli, Livio
51
2015
On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029
Bellomo, Nicola; Bellouquid, Abdelghani
31
2015
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
23
2015
Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110
Bellomo, Nicola; Brezzi, Franco
5
2015
On the derivation of angiogenesis tissue models: from the micro-scale to the macro-scale. Zbl 1327.76175
Bellomo, Nicola; Bellouquid, Abdelghani
2
2015
On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
25
2014
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
12
2014
Complex systems: new challenges with modeling headaches. Zbl 1280.00033
Bellomo, N.; Brezzi, Franco
3
2014
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
68
2013
From the microscale to collective crowd dynamics. Zbl 1280.90019
Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian
50
2013
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
48
2013
Complex systems and society. Modeling and simulation. Zbl 1328.00108
Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea
25
2013
Modeling chemotaxis from \(L^2\)-closure moments in kinetic theory of active particles. Zbl 1280.35160
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
8
2013
Heterogeneous distribution of mechanical stress in human lung: a mathematical approach to evaluate abnormal remodeling in IPF. Zbl 1330.92019
Carloni, A.; Poletti, V.; Fermo, L.; Bellomo, N.; Chilosi, M.
3
2013
Sources of nonlinearity in the kinetic theory for active particles with focus on the formation of political opinions. Zbl 1315.91054
Bellomo, Nicola; Coscia, Vincenzo
3
2013
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
83
2012
On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
53
2012
Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192
Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea
46
2012
On a class of integro-differential equations modeling complex systems with nonlinear interactions. Zbl 1243.82046
Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N.
15
2012
Mathematics and complexity of multi-particle systems. Zbl 1242.92003
Bellomo, N.; Brezzi, F.
8
2012
Global solution to the Cauchy problem for discrete velocity models of vehicular traffic. Zbl 1230.35056
Bellomo, N.; Bellouquid, A.
4
2012
On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123
Bellomo, Nicola; Dogbe, Christian
121
2011
On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052
Bellomo, Nicola; Bellouquid, Abdelghani
20
2011
On the mathematical theory of living systems. II: The interplay between mathematics and system biology. Zbl 1236.92005
Coscia, V.; Fermo, L.; Bellomo, N.
10
2011
Towards a mathematical theory of complex biological systems. Zbl 1286.92003
Bianca, Carlo; Bellomo, Nicola
9
2011
Mathematics and complexity in biological sciences. Zbl 1328.00110
Bellomo, N.; Brezzi, F.
7
2011
On the modeling of collective learning dynamics. Zbl 1233.92002
De Lillo, S.; Bellomo, N.
6
2011
On the modeling of crowd dynamics: an overview and research perspectives. Zbl 1242.90053
Bellomo, Nicola; Bianca, Carlo; Coscia, Vincenzo
6
2011
Continuum thermodynamics and nonlinear partial differential equations. Zbl 1213.80002
Bellomo, N.; Málek, J.
3
2011
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
98
2010
Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
28
2010
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
18
2010
Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117
Bellomo, N.
11
2010
On the modelling of vehicular traffic and crowds by kinetic theory of active particles. Zbl 1211.91210
Bellomo, Nicola; Bellouquid, Abdelghani
6
2010
On the modeling of nonlinear interactions in large complex systems. Zbl 1197.92002
Bellomo, N.; Bianca, C.; Mongiovì, M. S.
6
2010
Mathematics and complexity in human and life sciences. Zbl 1175.00022
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
9
2009
On the derivation of macroscopic tissue equations from hybrid models of the kinetic theory of multicellular growing systems – the effect of global equilibrium. Zbl 1184.93071
Bellomo, N.; Bellouquid, A.
8
2009
On the coupling of higher and lower scales using the mathematical kinetic theory of active particles. Zbl 1162.92013
Bellomo, N.; Delitala, M.
5
2009
From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models. Zbl 1171.92309
Bellomo, Nicola; Bellouquid, Abdelghani; Soler, Juan
5
2009
On the derivation of macroscopic hyperbolic equations for binary multicellular growing mixtures. Zbl 1186.35131
Bellomo, N.; Bellouquid, A.
2
2009
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
210
2008
Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007
Bellomo, Nicola
67
2008
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
66
2008
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357
Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo
33
2008
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
17
2008
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
14
2008
On the complexity of multiple interactions with additional reasonings about Kate, Jules and Jim. Zbl 1144.82339
Bellomo, Nicola; Carbonaro, Bruno
5
2008
Generalized collocation methods. Solutions to nonlinear problems. Zbl 1135.65038
Bellomo, Nicola; Lods, Bertrand; Revelli, Roberto; Ridolfi, Luca
4
2008
From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems. Zbl 1134.92003
Bellomo, N.; Bellouquid, A.; Delitala, M.
3
2008
On the kinetic and stochastic games theory for active particles: Some reasonings on open large living systems. Zbl 1187.91159
Bellomo, N.; Carbonaro, B.; Gramani, L.
1
2008
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
61
2007
Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031
Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola
19
2007
From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025
Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A.
18
2007
Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049
Bellomo, N.; Maini, P. K.
12
2007
Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity. Zbl 1165.82319
De Lillo, S.; Salvatori, M. C.; Bellomo, N.
8
2007
Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002
Bellomo, Nicola; Forni, Guido
31
2006
On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis. Zbl 1160.76403
Bellomo, Nicola; Bellouquid, Abdelghani
30
2006
...and 102 more Documents
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Cited by 2,694 Authors

125 Bellomo, Nicola
94 Ha, Seung-Yeal
70 Winkler, Michael
39 Tao, Youshan
36 Zheng, Jiashan
34 Lachowicz, Mirosław
30 Liu, Bin
29 Delitala, Marcello Edoardo
27 Piccoli, Benedetto
26 Elaiw, Ahmed M.
25 Mu, Chunlai
24 Bonzani, Ida
24 Lankeit, Johannes
24 Ren, Guoqiang
24 Surulescu, Christina
23 Soler, Juan S.
22 Bellouquid, Abdelghani
22 Toscani, Giuseppe
20 De Angelis, Elena
20 Park, Hansol
19 Brezzi, Franco
19 Herty, Michael Matthias
19 Klar, Axel
19 Wang, Liangchen
19 Yokota, Tomomi
19 Zheng, Pan
18 Knopoff, Damian A.
18 Shen, Wenxian
17 Pareschi, Lorenzo
17 Perthame, Benoît
16 Bianca, Carlo
16 Degond, Pierre
16 Wang, Zhian
16 Xiang, Tian
16 Xiang, Zhaoyin
15 Dai, Feng
15 Fuest, Mario
15 Mizukami, Masaaki
14 Black, Tobias
14 Kim, Jeongho
13 Chaplain, Mark A. J.
13 Ko, Dongnam
13 Shim, Woojoo
12 Ahn, Hyunjin
12 Carrillo de la Plata, José Antonio
12 Jin, Haiyang
12 Kim, Doheon
12 Preziosi, Luigi
12 Viglialoro, Giuseppe
11 Kim, Dohyun
11 Liu, Zuhan
11 Monaco, Roberto
11 Oden, John Tinsley
11 Wang, Yifu
10 Bertotti, Maria Letizia
10 Borsche, Raul
10 Cui, Shangbin
10 Dimarco, Giacomo
10 Dolfin, Marina
10 Fujie, Kentaro
10 Gibelli, Livio
10 Jin, Shi
10 Kang, Myeongju
10 Ke, Yuanyuan
10 Lin, Ke
10 Painter, Kevin J.
10 Pan, Xu
10 Salako, Rachidi Bolaji
10 Tosin, Andrea
10 Wang, Yulan
9 Adomian, George
9 Albi, Giacomo
9 Alshamrani, Noura H.
9 Bae, Hyeong-Ohk
9 Bertozzi, Andrea Louise
9 Cattani, Carlo
9 Coscia, Vincenzo
9 Dong, Jiu-Gang
9 Kolev, Mikhail K.
9 Lo Schiavo, Mauro
9 Nieto, Juanjo
9 Pinasco, Juan Pablo
9 Saintier, Nicolas
9 Wang, Jianping
9 Xie, Li
9 Zhang, Xiongtao
9 Zhou, Ling
8 Arlotti, Luisa
8 Burini, Diletta
8 Dogbé, Christian
8 Fermo, Luisa
8 Guillén González, Francisco M.
8 Guo, Shangjiang
8 Hobiny, Aatef D.
8 Jiang, Jie
8 Lima, Ernesto A. B. F.
8 Lowengrub, John Samuel
8 Negreanu, Mihaela
8 Qiu, Shuyan
8 Riganti, Riccardo
...and 2,594 more Authors
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Cited in 284 Serials

352 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
135 Mathematical and Computer Modelling
118 Journal of Differential Equations
87 Journal of Mathematical Analysis and Applications
75 Discrete and Continuous Dynamical Systems. Series B
70 Computers & Mathematics with Applications
57 Nonlinear Analysis. Real World Applications
56 ZAMP. Zeitschrift für angewandte Mathematik und Physik
53 Applied Mathematics and Computation
49 Applied Mathematics Letters
38 Journal of Statistical Physics
35 Journal of Theoretical Biology
33 Networks and Heterogeneous Media
32 Physica A
31 Kinetic and Related Models
29 Mathematical Methods in the Applied Sciences
29 Discrete and Continuous Dynamical Systems
27 Bulletin of Mathematical Biology
26 Journal of Cosmology and Astroparticle Physics
24 Journal of Mathematical Biology
24 Transport Theory and Statistical Physics
23 Journal of Mathematical Physics
23 SIAM Journal on Applied Mathematics
23 SIAM Journal on Mathematical Analysis
22 Nonlinearity
21 Discrete and Continuous Dynamical Systems. Series S
20 Applied Mathematical Modelling
20 Mathematical Biosciences and Engineering
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Acta Applicandae Mathematicae
19 Physica D
17 Communications on Pure and Applied Analysis
16 Calculus of Variations and Partial Differential Equations
15 Chaos, Solitons and Fractals
14 Archive for Rational Mechanics and Analysis
14 Computer Methods in Applied Mechanics and Engineering
14 Journal of Computational and Applied Mathematics
14 Mathematics and Computers in Simulation
14 Journal of Nonlinear Science
13 Journal of Computational Physics
13 Mathematical Biosciences
13 International Journal of Biomathematics
12 Communications in Nonlinear Science and Numerical Simulation
11 Applicable Analysis
11 NoDEA. Nonlinear Differential Equations and Applications
10 SIAM Journal on Control and Optimization
10 Journal of Dynamics and Differential Equations
9 Quarterly of Applied Mathematics
8 European Journal of Applied Mathematics
8 Communications in Partial Differential Equations
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Computational and Applied Mathematics
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Computational & Mathematical Methods in Medicine
7 Applied Mathematics and Optimization
7 Meccanica
7 Journal of Scientific Computing
7 Abstract and Applied Analysis
7 SIAM Journal on Applied Dynamical Systems
7 Mathematical Modelling of Natural Phenomena
7 Communications in Applied and Industrial Mathematics
6 SIAM Journal on Numerical Analysis
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Journal of Mathematical Sciences (New York)
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Journal of Evolution Equations
6 Multiscale Modeling & Simulation
6 Boundary Value Problems
6 Electronic Research Archive
5 Studies in Applied Mathematics
5 Applied Numerical Mathematics
5 Continuum Mechanics and Thermodynamics
5 Journal of Biological Systems
5 Journal of Applied Mathematics and Computing
5 Advances in Difference Equations
5 AIMS Mathematics
4 Communications in Mathematical Physics
4 Journal of Engineering Mathematics
4 Numerical Methods for Partial Differential Equations
4 Japan Journal of Industrial and Applied Mathematics
4 International Journal of Computer Mathematics
4 Electronic Journal of Differential Equations (EJDE)
4 Mathematics and Mechanics of Solids
4 Analysis and Applications (Singapore)
4 Asian-European Journal of Mathematics
4 Advances in Nonlinear Analysis
4 Open Mathematics
3 Acta Mechanica
3 Computers and Fluids
3 International Journal of Engineering Science
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Indiana University Mathematics Journal
3 International Journal for Numerical Methods in Engineering
3 Kybernetes
3 Mathematische Nachrichten
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Mathematical Problems in Engineering
3 Mathematical Population Studies
3 Vietnam Journal of Mathematics
...and 184 more Serials
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Cited in 50 Fields

1,380 Partial differential equations (35-XX)
1,371 Biology and other natural sciences (92-XX)
339 Statistical mechanics, structure of matter (82-XX)
317 Numerical analysis (65-XX)
270 Fluid mechanics (76-XX)
236 Ordinary differential equations (34-XX)
199 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
176 Operations research, mathematical programming (90-XX)
150 Probability theory and stochastic processes (60-XX)
97 Integral equations (45-XX)
91 Dynamical systems and ergodic theory (37-XX)
83 Calculus of variations and optimal control; optimization (49-XX)
83 Systems theory; control (93-XX)
62 Mechanics of deformable solids (74-XX)
46 Mechanics of particles and systems (70-XX)
29 Statistics (62-XX)
29 Relativity and gravitational theory (83-XX)
28 Computer science (68-XX)
27 Operator theory (47-XX)
20 Classical thermodynamics, heat transfer (80-XX)
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17 General and overarching topics; collections (00-XX)
14 Differential geometry (53-XX)
11 Real functions (26-XX)
11 Global analysis, analysis on manifolds (58-XX)
9 Difference and functional equations (39-XX)
9 Information and communication theory, circuits (94-XX)
8 Combinatorics (05-XX)
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8 Optics, electromagnetic theory (78-XX)
6 Measure and integration (28-XX)
6 Geophysics (86-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
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2 Functions of a complex variable (30-XX)
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2 Mathematics education (97-XX)
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