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Piccoli, Benedetto

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Author ID: piccoli.benedetto Recent zbMATH articles by "Piccoli, Benedetto"
Published as: Piccoli, Benedetto; Piccoli, B.; Piccoli, Benedotto; Piccoli, Bendetto; Piccoli, Benetto
External Links: MGP
Documents Indexed: 167 Publications since 1994, including 10 Books
all top 5

Co-Authors

7 single-authored
20 Garavello, Mauro
19 D’Apice, Ciro
12 Marigo, Alessia
11 Manzo, Rosanna
10 Rossi, Francesco
8 Bretti, Gabriella
8 Tosin, Andrea
7 Boscain, Ugo
7 Caponigro, Marco
7 Trélat, Emmanuel
6 Bicchi, Antonio
6 Bressan, Alberto
6 Cristiani, Emiliano
6 Delle Monache, Maria Laura
6 Natalini, Roberto
6 Rarità, Luigi
5 Baiti, Paolo
5 Bayen, Alexandre M.
5 Goatin, Paola
5 Herty, Michael Matthias
5 LeFloch, Philippe Gerard
5 Liard, Thibault
4 Blandin, Sébastien
4 Cavagnari, Giulia
4 Crasta, Graziano
4 McQuade, Sean T.
4 Merrill, Nathaniel J.
3 An, Zheming
3 Čanić, Sunčica
3 Cascone, Annunziata
3 Castiglione, Filippo
3 Chitour, Yacine
3 Duteil, Nastassia Pouradier
3 Fornasier, Massimo
3 Frasca, Paolo
3 Gaeta, Matteo
3 Lattanzio, Corrado
3 Marigonda, Antonio
3 Qiu, Jingmei
3 Work, Daniel B.
2 Amadori, Anna Lisa
2 Briani, Maya
2 Colombo, Rinaldo M.
2 Cutolo, Alfredo
2 Dubbini, Nevio
2 Ghezzi, Roberta
2 Girejko, Ewa
2 La Chioma, Claudia
2 Litrico, Xavier
2 Mason, Paolo
2 Maurizi, Amelio
2 Mercier, Jean-Marc
2 Stern, Raphael
2 Terracina, Andrea
2 Zadarnowska, Katarzyna
1 Abrams, Ruth E.
1 Adamo, Massimiliano
1 Albano, Giovannina
1 Amadori, Debora
1 Aydoğdu, Aylin
1 Azer, Karim
1 Balluchi, Andrea
1 Bastin, Georges
1 Bayen, Alexande
1 Bellomo, Nicola
1 Bernaschi, Massimo
1 Bhadani, Rahul
1 Bravo, Mary J.
1 Broucke, Mireille E.
1 Bruni, Vittoria
1 Camilli, Fabio
1 Cappuccio, Antonio
1 Caramia, Massimiliano
1 Carrillo de la Plata, José Antonio
1 Chiarello, Felisia Angela
1 Chyba, Monique
1 Claudel, Christian G.
1 Coclite, Giuseppe Maria
1 de Fabritiis, Corrado
1 De Maio, Raul
1 Degond, Pierre
1 Fabbri, Paola
1 Fibich, Gadi
1 Frankowska, Hélène
1 Gachomo, B.
1 Gargiulo, Giuliano
1 Garin, Federica
1 Göttlich, Simone
1 Greco, Luca
1 Ha, Seung-Yeal
1 Han, Ke
1 Hayat, Amaury
1 Helbing, Dirk
1 Iacovoni, Davide
1 Jörres, Christian
1 Klar, Axel
1 Lai, Anna Chiara
1 Lebacque, Jean Patrick
1 Lee, Kwangwon
1 Leibowitz, Emily
...and 34 more Co-Authors
all top 5

Serials

16 Networks and Heterogeneous Media
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Journal of Differential Equations
7 SIAM Journal on Control and Optimization
7 SIAM Journal on Mathematical Analysis
6 IEEE Transactions on Automatic Control
5 Archive for Rational Mechanics and Analysis
5 International Journal of Control
5 SIAM Journal on Applied Mathematics
5 Communications in Mathematical Sciences
3 Journal of Mathematical Analysis and Applications
3 NoDEA. Nonlinear Differential Equations and Applications
3 Discrete and Continuous Dynamical Systems
3 Discrete and Continuous Dynamical Systems. Series B
3 Mathematical Control and Related Fields
3 AIMS Series on Applied Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Bulletin of Mathematical Biology
2 Automatica
2 MCSS. Mathematics of Control, Signals, and Systems
2 Journal of Scientific Computing
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of Dynamical and Control Systems
2 Multiscale Modeling & Simulation
2 Journal of Hyperbolic Differential Equations
2 Journal of Theoretical Biology
2 Mathematics in Engineering
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Applied Mathematics and Computation
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 Memoirs of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Numerical Analysis
1 Rendiconti del Seminario Matematico
1 Systems & Control Letters
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 European Journal of Applied Mathematics
1 Communications in Partial Differential Equations
1 International Journal of Robust and Nonlinear Control
1 Continuum Mechanics and Thermodynamics
1 SIAM Journal on Scientific Computing
1 Set-Valued Analysis
1 Journal of Mathematical Sciences (New York)
1 Advances in Differential Equations
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 Mathematical Finance
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 International Journal of Theoretical and Applied Finance
1 Archives of Computational Methods in Engineering
1 Communications on Pure and Applied Analysis
1 AMRX. Applied Mathematics Research eXpress
1 SIAM Journal on Applied Dynamical Systems
1 Lecture Notes in Mathematics
1 Mathématiques & Applications (Berlin)
1 Signal, Image and Video Processing
1 Discrete and Continuous Dynamical Systems. Series S
1 Kinetic and Related Models
1 Algorithms
1 MS&A. Modeling, Simulation and Applications
1 International Journal of Mathematical Modelling and Numerical Optimisation
1 Communications in Applied and Industrial Mathematics
1 EMS Surveys in Mathematical Sciences

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 1,870 times in 1,000 Documents Cited by Year
Introduction to the mathematical theory of control. Zbl 1127.93002
Bressan, Alberto; Piccoli, Benedetto
128
2007
Traffic flow on networks. Zbl 1136.90012
Garavello, Mauro; Piccoli, Benedetto
127
2006
Traffic flow on a road network. Zbl 1114.90010
Coclite, G. M.; Garavello, M.; Piccoli, B.
96
2005
Multiscale modeling of pedestrian dynamics. Zbl 1314.00081
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
62
2014
Flows on networks: recent results and perspectives. Zbl 1301.35193
Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto
62
2014
Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
58
2011
Well-posedness of the Cauchy problem for \(n\times n\) systems of conservation laws. Zbl 0958.35001
Bressan, Alberto; Crasta, Graziano; Piccoli, Benedetto
58
2000
Time-evolving measures and macroscopic modeling of pedestrian flow. Zbl 1237.90057
Piccoli, Benedetto; Tosin, Andrea
56
2011
Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001
Boscain, Ugo; Piccoli, Benedetto
43
2004
Traffic flow on a road network using the Aw-Rascle model. Zbl 1090.90032
Garavello, Mauro; Piccoli, Benedetto
43
2006
Sparse stabilization and control of alignment models. Zbl 1331.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
41
2015
Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192
Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea
41
2012
Generalized Wasserstein distance and its application to transport equations with source. Zbl 06260964
Piccoli, Benedetto; Rossi, Francesco
37
2014
Mean-field sparse optimal control. Zbl 1353.49014
Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco
34
2014
Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes. Zbl 1263.35202
Piccoli, Benedetto; Rossi, Francesco
34
2013
Pedestrian flows in bounded domains with obstacles. Zbl 1170.90351
Piccoli, Benedetto; Tosin, Andrea
34
2009
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
33
2013
Models for vehicular traffic on networks. Zbl 1351.90045
Garavello, Mauro; Han, Ke; Piccoli, Benedetto
30
2016
Regular synthesis and sufficiency conditions for optimality. Zbl 0961.93014
Piccoli, Benedetto; Sussmann, Héctor J.
29
2000
A general phase transition model for vehicular traffic. Zbl 1217.35116
Blandin, S.; Work, D.; Goatin, P.; Piccoli, B.; Bayen, A.
28
2011
Conservation laws with discontinuous flux. Zbl 1142.35511
Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea
27
2007
Control to flocking of the kinetic Cucker-Smale model. Zbl 1327.93230
Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
26
2015
Conservation laws on complex networks. Zbl 1181.35144
Garavello, Mauro; Piccoli, Benedetto
25
2009
Optimal control in a model of dendritic cell transfection cancer immunotherapy. Zbl 1334.92191
Castiglione, Filippo; Piccoli, Benedetto
25
2006
Hybrid necessary principle. Zbl 1084.49021
Garavello, Mauro; Piccoli, Benedetto
25
2005
Numerical approximations of a traffic flow model on networks. Zbl 1124.90005
Bretti, G.; Natalini, R.; Piccoli, B.
23
2006
Moving bottlenecks in car traffic flow: a PDE-ODE coupled model. Zbl 1227.35206
Lattanzio, Corrado; Maurizi, Amelio; Piccoli, Benedetto
21
2011
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints. Zbl 1211.91214
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
20
2010
On the reachability of quantized control systems. Zbl 1364.93060
Bicchi, Antonio; Marigo, Alessia; Piccoli, Benedetto
17
2002
On properties of the generalized Wasserstein distance. Zbl 1351.49057
Piccoli, Benedetto; Rossi, Francesco
17
2016
Modeling, simulation, and optimization of supply chains. A continuous approach. Zbl 1205.90003
D’Arice, Ciro; Göttlich, Simone; Herty, Michael; Piccoli, Benedetto
17
2010
A nonlinear model of opinion formation on the sphere. Zbl 1333.91047
Piccoli, Benedetto; Lai, Anna Chiara; Caponigro, Marco
17
2015
Packet flow on telecommunication networks. Zbl 1147.35331
D’Apice, Ciro; Manzo, Rosanna; Piccoli, Benedetto
17
2006
Existence of solutions for supply chain models based on partial differential equations. Zbl 1165.90356
Herty, M.; Klar, A.; Piccoli, B.
17
2007
A traffic model for velocity data assimilation. Zbl 1187.90098
Work, Daniel B.; Blandin, Sébastien; Tossavainen, Olli-Pekka; Piccoli, Benedetto; Bayen, Alexandre M.
16
2010
Viscosity solutions and uniqueness for systems of inhomogeneous balance laws. Zbl 0949.35089
Crasta, Graziano; Piccoli, Benedetto
16
1997
Traffic circles and timing of traffic lights for cars flow. Zbl 1086.35066
Chitour, Yacine; Piccoli, Benedetto
14
2005
A tracking algorithm for car paths on road networks. Zbl 1168.35389
Bretti, Gabriella; Piccoli, Benedetto
13
2008
Determination of the optimal therapeutic protocols in cancer immunotherapy. Zbl 1137.92018
Cappuccio, Antonio; Castiglione, Filippo; Piccoli, Benedetto
13
2007
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
12
2010
Source-destination flow on a road network. Zbl 1136.90324
Garavello, Mauro; Piccoli, Benedetto
12
2005
Classification of generic singularities for the planar time-optimal synthesis. Zbl 0865.49022
Piccoli, B.
11
1996
A generic classification of time-optimal planar stabilizing feedbacks. Zbl 0910.93044
Bressan, A.; Piccoli, B.
11
1998
Optimization of traffic on road networks. Zbl 1216.90026
Cascone, Annunziata; D’Apice, Ciro; Piccoli, Benedetto; Rarità, Luigi
11
2007
A continuum-discrete model for supply chains dynamics. Zbl 1151.90305
Bretti, Gabriella; D’ Apice, Ciro; Manzo, Rosanna; Piccoli, B.
10
2007
Mean-field sparse Jurdjevic-Quinn control. Zbl 1365.93037
Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
10
2017
Runge-Kutta discontinuous Galerkin method for traffic flow model on networks. Zbl 1321.90034
Canic, Suncica; Piccoli, Benedetto; Qiu, Jing-Mei; Ren, Tan
10
2015
Modelling supply networks with partial differential equations. Zbl 1222.35120
D’Apice, C.; Manzo, R.; Piccoli, B.
10
2009
Optimal input flows for a PDE-ODE model of supply chains. Zbl 1281.35088
D’Apice, Ciro; Manzo, Rosanna; Piccoli, Benedetto
10
2012
Effects of anisotropic interactions on the structure of animal groups. Zbl 1232.92077
Cristiani, Emiliano; Frasca, Paolo; Piccoli, Benedetto
9
2011
Vertex flow models for vehicular traffic on networks. Zbl 1197.35163
d’Apice, Ciro; Piccoli, Benedetto
9
2008
Optimal synchronization problem for a multi-agent system. Zbl 1367.49002
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto
8
2017
Fast algorithms for the approximation of a traffic flow model on networks. Zbl 1114.65099
Bretti, Gabriella; Natalini, Roberto; Piccoli, Benedetto
8
2006
Extremal synthesis for generic planar systems. Zbl 1013.49025
Boscain, Ugo; Piccoli, Benedetto
8
2001
Coupling of microscopic and macroscopic traffic models at boundaries. Zbl 1215.35103
Lattanzio, Corrado; Piccoli, Benedetto
8
2010
Existence of solutions to Cauchy problems for a mixed continuum-discrete model for supply chains and networks. Zbl 1180.35342
D’Apice, C.; Manzo, R.; Piccoli, B.
8
2010
A Baire category approach to the bang-bang property. Zbl 0820.49002
Bressan, Alberto; Piccoli, Benedetto
8
1995
Sparse control of Hegselmann-Krause models: black hole and declustering. Zbl 1422.91620
Piccoli, Benedetto; Duteil, Nastassia Pouradier; Trélat, Emmanuel
8
2019
A fluid dynamic model for telecommunication networks with sources and destinations. Zbl 1149.35387
D’Apice, Ciro; Manzo, Rosanna; Piccoli, Benedetto
7
2008
Circulation of car traffic in congested urban areas. Zbl 1158.35386
Cascone, Annunziata; D’apice, Ciro; Piccoli, Benedetto; Rarità, Luigi
7
2008
Numerical simulations of traffic data via fluid dynamic approach. Zbl 1180.90175
Blandin, S.; Bretti, G.; Cutolo, A.; Piccoli, B.
7
2009
Uniqueness of classical and nonclassical solutions for nonlinear hyperbolic systems. Zbl 0987.35101
Baiti, Paolo; LeFloch, Philippe G.; Piccoli, Benedetto
7
2001
Controllability for discrete systems with a finite control set. Zbl 1031.93027
Chitour, Y.; Piccoli, B.
7
2001
Numerical algorithms for simulations of a traffic model on road networks. Zbl 1146.90365
Bretti, G.; Natalini, R.; Piccoli, B.
7
2007
Measure-theoretic models for crowd dynamics. Zbl 1410.91375
Piccoli, Benedetto; Rossi, Francesco
7
2018
Nonclassical shocks and the Cauchy problem: General conservation laws. Zbl 0942.35112
Baiti, Paolo; LeFloch, Philippe G.; Piccoli, Benedetto
6
1999
Regularity and Lyapunov stabilization of weak entropy solutions to scalar conservation laws. Zbl 1366.93488
Blandin, Sébastien; Litrico, Xavier; Delle Monache, Maria Laura; Piccoli, Benedetto; Bayen, Alexandre
6
2017
Time optimal swing-up of the planar pendulum. Zbl 1367.70046
Mason, Paolo; Broucke, Mireille; Piccoli, Benedetto
6
2008
On fluido-dynamic models for urban traffic. Zbl 1186.35227
Garavello, Mauro; Piccoli, Benedetto
6
2009
Numerical schemes for the optimal input flow of a supply chain. Zbl 1282.90061
D’Apice, C.; Manzo, R.; Piccoli, B.
6
2013
A fluid dynamic model for \(T\)-junctions. Zbl 1153.90004
Marigo, Alessia; Piccoli, Benedetto
5
2008
Sparse Jurdjevic-Quinn stabilization of dissipative systems. Zbl 1375.93095
Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
5
2017
Regularization of chattering phenomena via bounded variation controls. Zbl 1423.49037
Caponigro, Marco; Ghezzi, Roberta; Piccoli, Benedetto; Trélat, Emmanuel
5
2018
A fluid dynamic approach for traffic forecast from mobile sensor data. Zbl 1329.90031
Cristiani, Emiliano; de Fabritiis, Corrado; Piccoli, Benedetto
5
2010
Notes on RKDG methods for shallow-water equations in canal networks. Zbl 1437.76020
Briani, Maya; Piccoli, Benedetto; Qiu, Jing-Mei
5
2016
An upwind-Euler scheme for an ODE-PDE model of supply chains. Zbl 1229.35309
Cutolo, Alfredo; Piccoli, Benedetto; Rarità, Luigi
5
2011
Global continuous Riemann solver for nonlinear elasticity. Zbl 1028.74040
Mercier, Jean-Marc; Piccoli, Benedetto
5
2001
Regular time-optimal syntheses for smooth planar systems. Zbl 0912.49018
Piccoli, Benedetto
5
1996
Optimal control of a collective migration model. Zbl 1342.92308
Piccoli, Benedetto; Duteil, Nastassia Pouradier; Scharf, Benjamin
4
2016
Traffic regulation via controlled speed limit. Zbl 1377.90016
Delle Monache, Maria Laura; Piccoli, Benedetto; Rossi, Francesco
4
2017
Coupling of Lighthill-Whitham-Richards and phase transition models. Zbl 1284.35278
Garavello, Mauro; Piccoli, Benedetto
4
2013
Nonclassical shocks and the Cauchy problem for nonconvex conservation laws. Zbl 0921.35107
Amadori, D.; Baiti, P.; LeFloch, P. G.; Piccoli, B.
4
1999
Hybrid optimal control: case study of a car with gears. Zbl 1134.93382
D’Apice, Ciro; Garavello, Mauro; Manzo, Rosanna; Piccoli, Benedetto
4
2003
Regular syntheses and solutions to discontinuous ODEs. Zbl 1053.49027
Marigo, Alessia; Piccoli, Benedetto
4
2002
Heath-Jarrow-Morton interest rate dynamics and approximately consistent forward rate curves. Zbl 1186.91225
La Chioma, Claudia; Piccoli, Benedetto
4
2007
A fluid-dynamic traffic model on road networks. Zbl 1127.76004
Bretti, Gabriella; Natalini, Roberto; Piccoli, Benedetto
4
2007
On some concepts of generalized differentials. Zbl 1118.49010
Piccoli, Benedetto; Girejko, Ewa
4
2007
A multiscale model for traffic regulation via autonomous vehicles. Zbl 1439.90025
Garavello, Mauro; Goatin, Paola; Liard, Thibault; Piccoli, Benedetto
4
2020
A general BV existence result for conservation laws with spatial heterogeneities. Zbl 1402.35171
Piccoli, Benedetto; Tournus, Magali
3
2018
Optimal distribution of traffic flows in emergency cases. Zbl 1460.90064
Manzo, R.; Piccoli, B.; Rarità, L.
3
2012
Modelling and optimisation of flows on networks. Cetraro, Italy 2009. Papers based on the presentations at the CIME course, June 15–19, 2009. Zbl 1256.90008
Piccoli, Benedetto (ed.); Rascle, Michel (ed.)
3
2013
Feedback encoding for efficient symbolic control of dynamical systems. Zbl 1366.93387
Bicchi, Antonio; Marigo, Alessia; Piccoli, Benedetto
3
2006
A convex formulation of traffic dynamics on transportation networks. Zbl 1378.90036
Li, Yanning; Claudel, Christian G.; Piccoli, Benedetto; Work, Daniel B.
3
2017
Time-varying Riemann solvers for conservation laws on networks. Zbl 1166.90006
Garavello, Mauro; Piccoli, Benedetto
3
2009
A fast computation method for time scale signal denoising. Zbl 1177.94053
Bruni, Vittoria; Piccoli, Benedetto; Vitulano, Domenico
3
2009
Decentralized optimal routing for packets flow on data networks. Zbl 1180.35347
Cascone, A.; Marigo, A.; Piccoli, B.; Rarità, L.
3
2010
Optimal syntheses for state constrained problems with application to optimization of cancer therapies. Zbl 1260.49029
Piccoli, Benedetto
3
2012
Existence of solution to supply chain models based on partial differential equation with discontinuous flux function. Zbl 1307.90062
Herty, M.; Jörres, Ch.; Piccoli, B.
3
2013
Structural stability for time-optimal planar syntheses. Zbl 0885.93032
Bressan, Alberto; Piccoli, Benedetto
3
1997
Safety controls and applications to the Dubins’ car. Zbl 1051.49021
Marigo, Alessia; Piccoli, Benedetto
3
2004
A multiscale model for traffic regulation via autonomous vehicles. Zbl 1439.90025
Garavello, Mauro; Goatin, Paola; Liard, Thibault; Piccoli, Benedetto
4
2020
Generalized dynamic programming principle and sparse mean-field control problems. Zbl 1425.49011
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto
2
2020
Model-based assessment of the impact of driver-assist vehicles using kinetic theory. Zbl 1448.35357
Piccoli, Benedetto; Tosin, Andrea; Zanella, Mattia
2
2020
The Riemann problem for the GARZ model with a moving constraint. Zbl 1459.35289
Liard, Thibault; Marcellini, Francesca; Piccoli, Benedetto
1
2020
Sparse control of Hegselmann-Krause models: black hole and declustering. Zbl 1422.91620
Piccoli, Benedetto; Duteil, Nastassia Pouradier; Trélat, Emmanuel
8
2019
Well-posedness for scalar conservation laws with moving flux constraints. Zbl 1437.35491
Liard, Thibault; Piccoli, Benedetto
3
2019
Social dynamics models with time-varying influence. Zbl 1428.34069
McQuade, Sean; Piccoli, Benedetto; Duteil, Nastassia Pouradier
3
2019
Traffic reconstruction using autonomous vehicles. Zbl 1442.35253
Delle Monache, Maria Laura; Liard, Thibault; Piccoli, Benedetto; Stern, Raphael; Work, Dan
2
2019
Measure differential equations. Zbl 1417.49059
Piccoli, Benedetto
1
2019
Two algorithms for a fully coupled and consistently macroscopic PDE-ODE system modeling a moving bottleneck on a road. Zbl 1435.35244
Bretti, Gabriella; Cristiani, Emiliano; Lattanzio, Corrado; Maurizi, Amelio; Piccoli, Benedetto
1
2019
Feedback control algorithms for the dissipation of traffic waves with autonomous vehicles. Zbl 1441.93087
Delle Monache, Maria Laura; Liard, Thibault; Rat, Anaïs; Stern, Raphael; Bhadani, Rahul; Seibold, Benjamin; Sprinkle, Jonathan; Work, Daniel B.; Piccoli, Benedetto
1
2019
Measure-theoretic models for crowd dynamics. Zbl 1410.91375
Piccoli, Benedetto; Rossi, Francesco
7
2018
Regularization of chattering phenomena via bounded variation controls. Zbl 1423.49037
Caponigro, Marco; Ghezzi, Roberta; Piccoli, Benedetto; Trélat, Emmanuel
5
2018
A general BV existence result for conservation laws with spatial heterogeneities. Zbl 1402.35171
Piccoli, Benedetto; Tournus, Magali
3
2018
Priority-based Riemann solver for traffic flow on networks. Zbl 1395.90072
Delle Monache, Maria Laura; Goatin, Paola; Piccoli, Benedetto
2
2018
Superposition principle for differential inclusions. Zbl 1443.49003
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto
2
2018
Fluvial to torrential phase transition in open canals. Zbl 1420.35224
Briani, Maya; Piccoli, Benedetto
1
2018
Mean-field sparse Jurdjevic-Quinn control. Zbl 1365.93037
Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
10
2017
Optimal synchronization problem for a multi-agent system. Zbl 1367.49002
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto
8
2017
Regularity and Lyapunov stabilization of weak entropy solutions to scalar conservation laws. Zbl 1366.93488
Blandin, Sébastien; Litrico, Xavier; Delle Monache, Maria Laura; Piccoli, Benedetto; Bayen, Alexandre
6
2017
Sparse Jurdjevic-Quinn stabilization of dissipative systems. Zbl 1375.93095
Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
5
2017
Traffic regulation via controlled speed limit. Zbl 1377.90016
Delle Monache, Maria Laura; Piccoli, Benedetto; Rossi, Francesco
4
2017
A convex formulation of traffic dynamics on transportation networks. Zbl 1378.90036
Li, Yanning; Claudel, Christian G.; Piccoli, Benedetto; Work, Daniel B.
3
2017
Numerical methods for hyperbolic nets and networks. Zbl 1368.65152
Čanić, S.; Delle Monache, M. L.; Piccoli, B.; Qiu, J.-M.; Tambača, J.
1
2017
Models for vehicular traffic on networks. Zbl 1351.90045
Garavello, Mauro; Han, Ke; Piccoli, Benedetto
30
2016
On properties of the generalized Wasserstein distance. Zbl 1351.49057
Piccoli, Benedetto; Rossi, Francesco
17
2016
Notes on RKDG methods for shallow-water equations in canal networks. Zbl 1437.76020
Briani, Maya; Piccoli, Benedetto; Qiu, Jing-Mei
5
2016
Optimal control of a collective migration model. Zbl 1342.92308
Piccoli, Benedetto; Duteil, Nastassia Pouradier; Scharf, Benjamin
4
2016
Sparse stabilization and control of alignment models. Zbl 1331.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
41
2015
Control to flocking of the kinetic Cucker-Smale model. Zbl 1327.93230
Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
26
2015
A nonlinear model of opinion formation on the sphere. Zbl 1333.91047
Piccoli, Benedetto; Lai, Anna Chiara; Caponigro, Marco
17
2015
Runge-Kutta discontinuous Galerkin method for traffic flow model on networks. Zbl 1321.90034
Canic, Suncica; Piccoli, Benedetto; Qiu, Jing-Mei; Ren, Tan
10
2015
Keep right or left? Towards a cognitive-mathematical model for pedestrians. Zbl 1334.91068
Piccoli, Benedetto; Leibowitz, Emily; Caponigro, Marco; Bravo, Mary J.
1
2015
Multiscale modeling of pedestrian dynamics. Zbl 1314.00081
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
62
2014
Flows on networks: recent results and perspectives. Zbl 1301.35193
Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto
62
2014
Generalized Wasserstein distance and its application to transport equations with source. Zbl 06260964
Piccoli, Benedetto; Rossi, Francesco
37
2014
Mean-field sparse optimal control. Zbl 1353.49014
Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco
34
2014
Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes. Zbl 1263.35202
Piccoli, Benedetto; Rossi, Francesco
34
2013
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
33
2013
Numerical schemes for the optimal input flow of a supply chain. Zbl 1282.90061
D’Apice, C.; Manzo, R.; Piccoli, B.
6
2013
Coupling of Lighthill-Whitham-Richards and phase transition models. Zbl 1284.35278
Garavello, Mauro; Piccoli, Benedetto
4
2013
Modelling and optimisation of flows on networks. Cetraro, Italy 2009. Papers based on the presentations at the CIME course, June 15–19, 2009. Zbl 1256.90008
Piccoli, Benedetto; Rascle, Michel
3
2013
Existence of solution to supply chain models based on partial differential equation with discontinuous flux function. Zbl 1307.90062
Herty, M.; Jörres, Ch.; Piccoli, B.
3
2013
Coupling of microscopic and phase transition models at boundary. Zbl 1274.90076
Garavello, Mauro; Piccoli, Benedetto
2
2013
Special issue on mathematics of traffic flow modeling, estimation and control. Zbl 1323.00072
Bayen, Alexandre M.; Frankowska, Hélène; Lebacque, Jean-Patrick; Piccoli, Benedetto; Zhang, H. Michael
1
2013
Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192
Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea
41
2012
Optimal input flows for a PDE-ODE model of supply chains. Zbl 1281.35088
D’Apice, Ciro; Manzo, Rosanna; Piccoli, Benedetto
10
2012
Optimal distribution of traffic flows in emergency cases. Zbl 1460.90064
Manzo, R.; Piccoli, B.; Rarità, L.
3
2012
Optimal syntheses for state constrained problems with application to optimization of cancer therapies. Zbl 1260.49029
Piccoli, Benedetto
3
2012
Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
58
2011
Time-evolving measures and macroscopic modeling of pedestrian flow. Zbl 1237.90057
Piccoli, Benedetto; Tosin, Andrea
56
2011
A general phase transition model for vehicular traffic. Zbl 1217.35116
Blandin, S.; Work, D.; Goatin, P.; Piccoli, B.; Bayen, A.
28
2011
Moving bottlenecks in car traffic flow: a PDE-ODE coupled model. Zbl 1227.35206
Lattanzio, Corrado; Maurizi, Amelio; Piccoli, Benedetto
21
2011
Effects of anisotropic interactions on the structure of animal groups. Zbl 1232.92077
Cristiani, Emiliano; Frasca, Paolo; Piccoli, Benedetto
9
2011
An upwind-Euler scheme for an ODE-PDE model of supply chains. Zbl 1229.35309
Cutolo, Alfredo; Piccoli, Benedetto; Rarità, Luigi
5
2011
Entropy-type conditions for Riemann solvers at nodes. Zbl 1217.90056
Garavello, Mauro; Piccoli, Benedetto
1
2011
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints. Zbl 1211.91214
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
20
2010
Modeling, simulation, and optimization of supply chains. A continuous approach. Zbl 1205.90003
D’Arice, Ciro; Göttlich, Simone; Herty, Michael; Piccoli, Benedetto
17
2010
A traffic model for velocity data assimilation. Zbl 1187.90098
Work, Daniel B.; Blandin, Sébastien; Tossavainen, Olli-Pekka; Piccoli, Benedetto; Bayen, Alexandre M.
16
2010
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
12
2010
Coupling of microscopic and macroscopic traffic models at boundaries. Zbl 1215.35103
Lattanzio, Corrado; Piccoli, Benedetto
8
2010
Existence of solutions to Cauchy problems for a mixed continuum-discrete model for supply chains and networks. Zbl 1180.35342
D’Apice, C.; Manzo, R.; Piccoli, B.
8
2010
A fluid dynamic approach for traffic forecast from mobile sensor data. Zbl 1329.90031
Cristiani, Emiliano; de Fabritiis, Corrado; Piccoli, Benedetto
5
2010
Decentralized optimal routing for packets flow on data networks. Zbl 1180.35347
Cascone, A.; Marigo, A.; Piccoli, B.; Rarità, L.
3
2010
Left invertibility of discrete systems with finite inputs and quantised output. Zbl 1209.93029
Dubbini, Nevio; Piccoli, Bendetto; Bicchi, Antonio
2
2010
Pedestrian flows in bounded domains with obstacles. Zbl 1170.90351
Piccoli, Benedetto; Tosin, Andrea
34
2009
Conservation laws on complex networks. Zbl 1181.35144
Garavello, Mauro; Piccoli, Benedetto
25
2009
Modelling supply networks with partial differential equations. Zbl 1222.35120
D’Apice, C.; Manzo, R.; Piccoli, B.
10
2009
Numerical simulations of traffic data via fluid dynamic approach. Zbl 1180.90175
Blandin, S.; Bretti, G.; Cutolo, A.; Piccoli, B.
7
2009
On fluido-dynamic models for urban traffic. Zbl 1186.35227
Garavello, Mauro; Piccoli, Benedetto
6
2009
Time-varying Riemann solvers for conservation laws on networks. Zbl 1166.90006
Garavello, Mauro; Piccoli, Benedetto
3
2009
A fast computation method for time scale signal denoising. Zbl 1177.94053
Bruni, Vittoria; Piccoli, Benedetto; Vitulano, Domenico
3
2009
Stochastic algorithms for robustness of control performances. Zbl 1166.93387
Piccoli, Benedetto; Zadarnowska, Katarzyna; Gaeta, Matteo
2
2009
Special issue: Irrigation channels and related problems. Selected papers based on the presentations at the workshop, Maiori, Italy, October 2–4, 2008. Zbl 1198.94008
Bastin, Georges; Bayen, Alexande; D’Apice, Ciro; Litrico, Xavier; Piccoli, Benedetto
2
2009
Detection of Gaussian signals via hexagonal sensor networks. Zbl 1178.94070
Frasca, Paolo; Mason, Paolo; Piccoli, Benedetto
1
2009
Riemann solvers for conservation laws at a node. Zbl 1185.65147
Garavello, Mauro; Piccoli, Benedetto
1
2009
Flows on networks and complicated domains. Zbl 1192.35119
Piccoli, Benedetto
1
2009
A tracking algorithm for car paths on road networks. Zbl 1168.35389
Bretti, Gabriella; Piccoli, Benedetto
13
2008
Vertex flow models for vehicular traffic on networks. Zbl 1197.35163
d’Apice, Ciro; Piccoli, Benedetto
9
2008
A fluid dynamic model for telecommunication networks with sources and destinations. Zbl 1149.35387
D’Apice, Ciro; Manzo, Rosanna; Piccoli, Benedetto
7
2008
Circulation of car traffic in congested urban areas. Zbl 1158.35386
Cascone, Annunziata; D’apice, Ciro; Piccoli, Benedetto; Rarità, Luigi
7
2008
Time optimal swing-up of the planar pendulum. Zbl 1367.70046
Mason, Paolo; Broucke, Mireille; Piccoli, Benedetto
6
2008
A fluid dynamic model for \(T\)-junctions. Zbl 1153.90004
Marigo, Alessia; Piccoli, Benedetto
5
2008
A Riemann solver approach for conservation laws with discontinuous flux. Zbl 1138.65070
Garavello, M.; Natalini, R.; Piccoli, B.; Terracina, A.
2
2008
Introduction to the mathematical theory of control. Zbl 1127.93002
Bressan, Alberto; Piccoli, Benedetto
128
2007
Conservation laws with discontinuous flux. Zbl 1142.35511
Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea
27
2007
Existence of solutions for supply chain models based on partial differential equations. Zbl 1165.90356
Herty, M.; Klar, A.; Piccoli, B.
17
2007
Determination of the optimal therapeutic protocols in cancer immunotherapy. Zbl 1137.92018
Cappuccio, Antonio; Castiglione, Filippo; Piccoli, Benedetto
13
2007
Optimization of traffic on road networks. Zbl 1216.90026
Cascone, Annunziata; D’Apice, Ciro; Piccoli, Benedetto; Rarità, Luigi
11
2007
A continuum-discrete model for supply chains dynamics. Zbl 1151.90305
Bretti, Gabriella; D’ Apice, Ciro; Manzo, Rosanna; Piccoli, B.
10
2007
Numerical algorithms for simulations of a traffic model on road networks. Zbl 1146.90365
Bretti, G.; Natalini, R.; Piccoli, B.
7
2007
Heath-Jarrow-Morton interest rate dynamics and approximately consistent forward rate curves. Zbl 1186.91225
La Chioma, Claudia; Piccoli, Benedetto
4
2007
A fluid-dynamic traffic model on road networks. Zbl 1127.76004
Bretti, Gabriella; Natalini, Roberto; Piccoli, Benedetto
4
2007
On some concepts of generalized differentials. Zbl 1118.49010
Piccoli, Benedetto; Girejko, Ewa
4
2007
Traffic flow on networks. Zbl 1136.90012
Garavello, Mauro; Piccoli, Benedetto
127
2006
Traffic flow on a road network using the Aw-Rascle model. Zbl 1090.90032
Garavello, Mauro; Piccoli, Benedetto
43
2006
Optimal control in a model of dendritic cell transfection cancer immunotherapy. Zbl 1334.92191
Castiglione, Filippo; Piccoli, Benedetto
25
2006
Numerical approximations of a traffic flow model on networks. Zbl 1124.90005
Bretti, G.; Natalini, R.; Piccoli, B.
23
2006
Packet flow on telecommunication networks. Zbl 1147.35331
D’Apice, Ciro; Manzo, Rosanna; Piccoli, Benedetto
17
2006
Fast algorithms for the approximation of a traffic flow model on networks. Zbl 1114.65099
Bretti, Gabriella; Natalini, Roberto; Piccoli, Benedetto
8
2006
...and 35 more Documents
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Cited by 1,269 Authors

66 Piccoli, Benedetto
33 Colombo, Rinaldo M.
30 Bressan, Alberto
30 Göttlich, Simone
30 Herty, Michael Matthias
27 Garavello, Mauro
23 Bellomo, Nicola
23 Schättler, Heinz Michael
21 Goatin, Paola
21 Tosin, Andrea
20 Ledzewicz, Urszula
17 Rosini, Massimiliano Daniele
16 Rossi, Francesco
15 D’Apice, Ciro
14 Borsche, Raul
14 Marcellini, Francesca
13 Manzo, Rosanna
13 Trélat, Emmanuel
12 Shao, Zhiqiang
11 Camilli, Fabio
11 Cristiani, Emiliano
11 Fornasier, Massimo
10 Bayen, Térence
10 Boscain, Ugo
10 Klar, Axel
10 Pareschi, Lorenzo
10 Zanella, Mattia
9 Albi, Giacomo
9 Donadello, Carlotta
9 Ha, Seung-Yeal
9 Marigonda, Antonio
8 Andreianov, Boris
8 Bongini, Mattia
8 LeFloch, Philippe Gerard
8 Nguyen, Khai T.
8 Wolfram, Marie-Therese
7 Coclite, Giuseppe Maria
7 Delle Monache, Maria Laura
7 Gugat, Martin
7 Malinowska, Agnieszka Barbara
7 Motta, Monica
7 Natalini, Roberto
7 Shen, Wen
7 Sigalotti, Mario
6 Agrachev, Andreĭ Aleksandrovich
6 Ancona, Fabio
6 Bürger, Raimund
6 Carrillo de la Plata, José Antonio
6 Choi, Young-Pil
6 Colombi, Annachiara
6 Festa, Adriano
6 Gibelli, Livio
6 Gwiazda, Piotr
6 Kalise, Dante
6 Keimer, Alexander
6 Knapp, Stephan
6 Knopoff, Damian A.
6 Odzijewicz, Tatiana
6 Pogodaev, Nikolaĭ Il’ich
6 Soler, Juan S.
6 Towers, John D.
5 Achdou, Yves
5 Amadori, Debora
5 Bourdin, Loïc
5 Bretti, Gabriella
5 Brezzi, Franco
5 Briani, Maya
5 Caponigro, Marco
5 Carlini, Elisabetta
5 Cavagnari, Giulia
5 Chitour, Yacine
5 Costeseque, Guillaume
5 Degond, Pierre
5 Duteil, Nastassia Pouradier
5 Girejko, Ewa
5 Guarguaglini, Francesca Romana
5 Guerra, Graziano
5 Hua, Jiale
5 Karlsen, Kenneth Hvistendahl
5 Kogut, Peter I.
5 Kolb, Oliver
5 Leugering, Günter
5 Muntean, Adrian
5 Rampazzo, Franco
5 Rarità, Luigi
5 Scianna, Marco
5 Work, Daniel B.
5 Yang, Tong
5 Zuazua, Enrique
4 Azhmyakov, Vadim
4 Banasiak, Jacek
4 Banda, Mapundi Kondwani
4 Bayen, Alexandre M.
4 Bonzani, Ida
4 Chalons, Christophe
4 Colombo, Giovanni
4 Corli, Andrea
4 Crnkić, Aladin
4 Fermo, Luisa
4 Jaćimović, Vladimir
...and 1,169 more Authors
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Cited in 210 Serials

71 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
57 Networks and Heterogeneous Media
52 Journal of Differential Equations
26 Journal of Mathematical Analysis and Applications
26 Automatica
25 SIAM Journal on Applied Mathematics
25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Journal of Optimization Theory and Applications
21 SIAM Journal on Control and Optimization
20 Journal of Hyperbolic Differential Equations
18 Discrete and Continuous Dynamical Systems
17 Archive for Rational Mechanics and Analysis
17 SIAM Journal on Mathematical Analysis
17 Discrete and Continuous Dynamical Systems. Series S
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Discrete and Continuous Dynamical Systems. Series B
13 NoDEA. Nonlinear Differential Equations and Applications
12 Journal of Computational Physics
12 Mathematical Biosciences and Engineering
11 Systems & Control Letters
11 Journal of Theoretical Biology
10 Calculus of Variations and Partial Differential Equations
10 Journal of Dynamical and Control Systems
10 Mathematical Control and Related Fields
9 Journal of Mathematical Biology
9 Bulletin of Mathematical Biology
9 Kinetic and Related Models
8 Journal of Computational and Applied Mathematics
8 MCSS. Mathematics of Control, Signals, and Systems
8 Nonlinear Analysis. Real World Applications
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Engineering Mathematics
7 Applied Mathematics and Computation
7 Applied Numerical Mathematics
7 Communications in Partial Differential Equations
7 Nonlinear Analysis. Hybrid Systems
7 Set-Valued and Variational Analysis
6 Computers & Mathematics with Applications
6 Mathematical Biosciences
6 Applied Mathematics and Optimization
6 Journal of Functional Analysis
6 Acta Applicandae Mathematicae
6 Mathematical and Computer Modelling
6 Journal of Scientific Computing
6 Applied Mathematical Modelling
6 Journal of Mathematical Sciences (New York)
5 International Journal of Control
5 Journal of Statistical Physics
5 Quarterly of Applied Mathematics
5 Applied Mathematics Letters
5 SIAM Journal on Scientific Computing
4 Journal of Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Numerische Mathematik
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 European Journal of Operational Research
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Biological Systems
4 Bulletin of the Brazilian Mathematical Society. New Series
4 SIAM Journal on Applied Dynamical Systems
4 Mathematical Modelling of Natural Phenomena
4 Dynamic Games and Applications
4 Communications in Applied and Industrial Mathematics
3 Computers and Fluids
3 Indian Journal of Pure & Applied Mathematics
3 Physica A
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3 Optimal Control Applications & Methods
3 Physica D
3 European Journal of Applied Mathematics
3 Journal of Global Optimization
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Nonlinear Science
3 Computational and Applied Mathematics
3 Mathematical Problems in Engineering
3 European Journal of Control
3 Discrete Dynamics in Nature and Society
3 Foundations of Computational Mathematics
3 Communications on Pure and Applied Analysis
3 Multiscale Modeling & Simulation
3 Advances in Mathematical Physics
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of the Franklin Institute
2 Calcolo
2 Computing
2 Mathematics and Computers in Simulation
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Numerical Analysis
2 Transactions of the American Mathematical Society
2 Applications of Mathematics
2 Discrete Event Dynamic Systems
2 Automation and Remote Control
2 International Journal of Robust and Nonlinear Control
2 Set-Valued Analysis
2 ETNA. Electronic Transactions on Numerical Analysis
2 Vietnam Journal of Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Evolution Equations
...and 110 more Serials
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Cited in 46 Fields

454 Partial differential equations (35-XX)
278 Calculus of variations and optimal control; optimization (49-XX)
271 Operations research, mathematical programming (90-XX)
200 Systems theory; control (93-XX)
154 Biology and other natural sciences (92-XX)
145 Numerical analysis (65-XX)
113 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Ordinary differential equations (34-XX)
103 Fluid mechanics (76-XX)
42 Statistical mechanics, structure of matter (82-XX)
38 Probability theory and stochastic processes (60-XX)
29 Dynamical systems and ergodic theory (37-XX)
26 Mechanics of particles and systems (70-XX)
22 Global analysis, analysis on manifolds (58-XX)
22 Computer science (68-XX)
16 Operator theory (47-XX)
14 Real functions (26-XX)
13 Measure and integration (28-XX)
11 Differential geometry (53-XX)
11 Quantum theory (81-XX)
10 Statistics (62-XX)
9 Mechanics of deformable solids (74-XX)
8 Difference and functional equations (39-XX)
8 Functional analysis (46-XX)
7 Combinatorics (05-XX)
7 Integral equations (45-XX)
5 General topology (54-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Optics, electromagnetic theory (78-XX)
2 Number theory (11-XX)
2 Potential theory (31-XX)
2 Manifolds and cell complexes (57-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
2 Mathematics education (97-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Geophysics (86-XX)

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