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## Cristiani, Emiliano

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 Author ID: cristiani.emiliano Published as: Cristiani, Emiliano; Cristiani, E. External Links: MGP
 Documents Indexed: 36 Publications since 2006, including 2 Books
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#### Co-Authors

 2 single-authored 9 Falcone, Maurizio 6 Cacace, Simone 6 Piccoli, Benedetto 5 Tosin, Andrea 4 Briani, Maya 3 Breuß, Michael 3 Vogel, Oliver 2 Bretti, Gabriella 2 Durou, Jean-Denis 2 Iacomini, Elisa 2 Peri, Daniele 2 Priuli, Fabio Simone 1 Albi, Giacomo 1 Alla, Alessandro 1 Balzotti, Caterina 1 Bokanowski, Olivier 1 Bongini, Mattia 1 Carlini, Elisabetta 1 de Fabritiis, Corrado 1 Ferretti, Roberto Giorgio 1 Forcadel, Nicolas 1 Frasca, Paolo 1 Gwosdek, Pascal 1 Kalise, Dante 1 Lattanzio, Corrado 1 Martinon, Pierre 1 Maurizi, Amelio 1 Picarelli, Athena 1 Rocchi, Leonardo 1 Sahu, Smita 1 Saladino, Maria Cristina 1 Zidani, Hasnaa
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#### Serials

 3 Applied Mathematical Modelling 3 Networks and Heterogeneous Media 2 Journal of Scientific Computing 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Multiscale Modeling & Simulation 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 SIAM Journal on Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 MS&A. Modeling, Simulation and Applications 1 Communications in Applied and Industrial Mathematics 1 Mathematics in Engineering
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#### Fields

 21 Partial differential equations (35-XX) 19 Numerical analysis (65-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Operations research, mathematical programming (90-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Ordinary differential equations (34-XX) 2 General and overarching topics; collections (00-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 338 times in 227 Documents Cited by Year
Multiscale modeling of pedestrian dynamics. Zbl 1314.00081
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
2014
Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
2011
Invisible control of self-organizing agents leaving unknown environments. Zbl 1415.91230
Albi, Giacomo; Bongini, Mattia; Cristiani, Emiliano; Kalise, Dante
2016
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints. Zbl 1211.91214
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
2010
Modeling rationality to control self-organization of crowds: an environmental approach. Zbl 1316.35189
Cristiani, Emiliano; Priuli, Fabio S.; Tosin, Andrea
2015
A patchy dynamic programming scheme for a class of Hamilton-Jacobi-Bellman equations. Zbl 1259.65097
Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio; Picarelli, Athena
2012
Fast semi-Lagrangian schemes for the eikonal equation and applications. Zbl 1154.65053
Cristiani, Emiliano; Falcone, Maurizio
2007
On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127
Cristiani, Emiliano; Sahu, Smita
2016
A fast marching method for Hamilton-Jacobi equations modeling monotone front propagations. Zbl 1203.65220
Cristiani, Emiliano
2009
Effects of anisotropic interactions on the structure of animal groups. Zbl 1232.92077
Cristiani, Emiliano; Frasca, Paolo; Piccoli, Benedetto
2011
An adaptive domain-decomposition technique for parallelization of the fast marching method. Zbl 1269.65132
Breuß, Michael; Cristiani, Emiliano; Gwosdek, Pascal; Vogel, Oliver
2011
Perspective shape from shading: ambiguity analysis and numerical approximations. Zbl 1246.65199
Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver
2012
An efficient data structure and accurate scheme to solve front propagation problems. Zbl 1203.65208
Bokanowski, O.; Cristiani, E.; Zidani, H.
2010
Fully-discrete schemes for the value function of Pursuit-Evasion games with state constraints. Zbl 1179.91043
Cristiani, Emiliano; Falcone, Maurizio
2009
An easy-to-use algorithm for simulating traffic flow on networks: theoretical study. Zbl 1302.65203
Briani, Maya; Cristiani, Emiliano
2014
An easy-to-use algorithm for simulating traffic flow on networks: numerical experiments. Zbl 1292.65097
Bretti, Gabriella; Briani, Maya; Cristiani, Emiliano
2014
Handling obstacles in pedestrian simulations: models and optimization. Zbl 1446.90011
Cristiani, Emiliano; Peri, Daniele
2017
A non-monotone fast marching scheme for Hamilton-Jacobi equation modelling dislocation dynamics. Zbl 1118.65369
Carlini, Elisabetta; Cristiani, Emiliano; Forcadel, Nicolas
2006
A destination-preserving model for simulating Wardrop equilibria in traffic flow on networks. Zbl 1327.90042
Cristiani, Emiliano; Priuli, Fabio S.
2015
A fluid dynamic approach for traffic forecast from mobile sensor data. Zbl 1329.90031
Cristiani, Emiliano; de Fabritiis, Corrado; Piccoli, Benedetto
2010
Can local single-pass methods solve any stationary Hamilton-Jacobi-Bellman equation? Zbl 1296.65094
Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio
2014
A characteristics driven fast marching method for the eikonal equation. Zbl 1157.65466
Cristiani, E.; Falcone, M.
2008
Initialization of the shooting method via the Hamilton-Jacobi-Bellman approach. Zbl 1200.49030
Cristiani, E.; Martinon, P.
2010
Numerical algorithms for perspective shape from shading. Zbl 1198.68266
Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver
2010
Numerical approximation of Nash equilibria for a class of non-cooperative differential games. Zbl 1296.91032
Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio
2013
Sensitivity analysis of the LWR model for traffic forecast on large networks using Wasserstein distance. Zbl 1390.35183
Briani, Maya; Cristiani, Emiliano; Iacomini, Elisa
2018
Reducing complexity of multiagent systems with symmetry breaking: an application to opinion dynamics with polls. Zbl 1392.35201
Cristiani, Emiliano; Tosin, Andrea
2018
An interface-free multi-scale multi-order model for traffic flow. Zbl 07115887
Cristiani, Emiliano; Iacomini, Elisa
2019
Comparing comparisons between vehicular traffic states in microscopic and macroscopic first-order models. Zbl 1415.35261
2019
Blended numerical schemes for the advection equation and conservation laws. Zbl 1369.65098
Cacace, Simone; Cristiani, Emiliano; Ferretti, Roberto
2017
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
2019
Two semi-Lagrangian fast methods for Hamilton-Jacobi-Bellman equations. Zbl 1325.65090
Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio
2014
An interface-free multi-scale multi-order model for traffic flow. Zbl 07115887
Cristiani, Emiliano; Iacomini, Elisa
2019
Comparing comparisons between vehicular traffic states in microscopic and macroscopic first-order models. Zbl 1415.35261
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
2019
Sensitivity analysis of the LWR model for traffic forecast on large networks using Wasserstein distance. Zbl 1390.35183
Briani, Maya; Cristiani, Emiliano; Iacomini, Elisa
2018
Reducing complexity of multiagent systems with symmetry breaking: an application to opinion dynamics with polls. Zbl 1392.35201
Cristiani, Emiliano; Tosin, Andrea
2018
Handling obstacles in pedestrian simulations: models and optimization. Zbl 1446.90011
Cristiani, Emiliano; Peri, Daniele
2017
Blended numerical schemes for the advection equation and conservation laws. Zbl 1369.65098
Cacace, Simone; Cristiani, Emiliano; Ferretti, Roberto
2017
Invisible control of self-organizing agents leaving unknown environments. Zbl 1415.91230
Albi, Giacomo; Bongini, Mattia; Cristiani, Emiliano; Kalise, Dante
2016
On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127
Cristiani, Emiliano; Sahu, Smita
2016
Modeling rationality to control self-organization of crowds: an environmental approach. Zbl 1316.35189
Cristiani, Emiliano; Priuli, Fabio S.; Tosin, Andrea
2015
A destination-preserving model for simulating Wardrop equilibria in traffic flow on networks. Zbl 1327.90042
Cristiani, Emiliano; Priuli, Fabio S.
2015
Multiscale modeling of pedestrian dynamics. Zbl 1314.00081
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
2014
An easy-to-use algorithm for simulating traffic flow on networks: theoretical study. Zbl 1302.65203
Briani, Maya; Cristiani, Emiliano
2014
An easy-to-use algorithm for simulating traffic flow on networks: numerical experiments. Zbl 1292.65097
Bretti, Gabriella; Briani, Maya; Cristiani, Emiliano
2014
Can local single-pass methods solve any stationary Hamilton-Jacobi-Bellman equation? Zbl 1296.65094
Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio
2014
Two semi-Lagrangian fast methods for Hamilton-Jacobi-Bellman equations. Zbl 1325.65090
Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio
2014
Numerical approximation of Nash equilibria for a class of non-cooperative differential games. Zbl 1296.91032
Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio
2013
A patchy dynamic programming scheme for a class of Hamilton-Jacobi-Bellman equations. Zbl 1259.65097
Cacace, Simone; Cristiani, Emiliano; Falcone, Maurizio; Picarelli, Athena
2012
Perspective shape from shading: ambiguity analysis and numerical approximations. Zbl 1246.65199
Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver
2012
Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
2011
Effects of anisotropic interactions on the structure of animal groups. Zbl 1232.92077
Cristiani, Emiliano; Frasca, Paolo; Piccoli, Benedetto
2011
An adaptive domain-decomposition technique for parallelization of the fast marching method. Zbl 1269.65132
Breuß, Michael; Cristiani, Emiliano; Gwosdek, Pascal; Vogel, Oliver
2011
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints. Zbl 1211.91214
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
2010
An efficient data structure and accurate scheme to solve front propagation problems. Zbl 1203.65208
Bokanowski, O.; Cristiani, E.; Zidani, H.
2010
A fluid dynamic approach for traffic forecast from mobile sensor data. Zbl 1329.90031
Cristiani, Emiliano; de Fabritiis, Corrado; Piccoli, Benedetto
2010
Initialization of the shooting method via the Hamilton-Jacobi-Bellman approach. Zbl 1200.49030
Cristiani, E.; Martinon, P.
2010
Numerical algorithms for perspective shape from shading. Zbl 1198.68266
Breuß, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver
2010
A fast marching method for Hamilton-Jacobi equations modeling monotone front propagations. Zbl 1203.65220
Cristiani, Emiliano
2009
Fully-discrete schemes for the value function of Pursuit-Evasion games with state constraints. Zbl 1179.91043
Cristiani, Emiliano; Falcone, Maurizio
2009
A characteristics driven fast marching method for the eikonal equation. Zbl 1157.65466
Cristiani, E.; Falcone, M.
2008
Fast semi-Lagrangian schemes for the eikonal equation and applications. Zbl 1154.65053
Cristiani, Emiliano; Falcone, Maurizio
2007
A non-monotone fast marching scheme for Hamilton-Jacobi equation modelling dislocation dynamics. Zbl 1118.65369
Carlini, Elisabetta; Cristiani, Emiliano; Forcadel, Nicolas
2006
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#### Cited by 365 Authors

 20 Piccoli, Benedetto 14 Cristiani, Emiliano 14 Tosin, Andrea 12 Rossi, Francesco 9 Bellomo, Nicola 8 Albi, Giacomo 8 Festa, Adriano 7 Falcone, Maurizio 7 Fornasier, Massimo 6 Camilli, Fabio 6 Colombi, Annachiara 6 Göttlich, Simone 6 Kalise, Dante 6 Pareschi, Lorenzo 6 Wolfram, Marie-Therese 6 Zanella, Mattia 5 Bongini, Mattia 5 Choi, Young-Pil 5 Colombo, Rinaldo M. 5 Scianna, Marco 5 Trélat, Emmanuel 4 Alla, Alessandro 4 Breuß, Michael 4 Caponigro, Marco 4 Forcadel, Nicolas 4 Garavello, Mauro 4 Gibelli, Livio 4 Kunisch, Karl 4 Marigonda, Antonio 4 Muntean, Adrian 4 Tozza, Silvia 3 Bardi, Martino 3 Bonnet, Benoît 3 Borsche, Raul 3 Briani, Maya 3 Carrillo de la Plata, José Antonio 3 Cavagnari, Giulia 3 Cirillo, Emilio Nicola Maria 3 De Maio, Raul 3 Herty, Michael Matthias 3 Holden, Helge 3 Lécureux-Mercier, Magali 3 Meurer, Anne 3 Sahu, Smita 3 Shen, Wen 3 Soler, Juan S. 3 Solombrino, Francesco 3 Totzeck, Claudia 3 Zidani, Hasnaa 2 Achdou, Yves 2 Al-Megren, Shiroq 2 Almulifi, Asma 2 Argoul, Pierre 2 Aydoğdu, Aylin 2 Bernardi, Sara 2 Bokanowski, Olivier 2 Bretti, Gabriella 2 Bruhn, Andrés 2 Burger, Martin 2 Cacace, Simone 2 Cardaliaguet, Pierre 2 Carinci, Gioia 2 Carlini, Elisabetta 2 Ciallella, Alessandro 2 Colangeli, Matteo 2 Corbetta, Alessandro 2 D’Apice, Ciro 2 De Masi, Anna 2 Di Costanzo, Ezio 2 Duprez, Michel 2 Duteil, Nastassia Pouradier 2 El Rhabi, Mohammed 2 Ferretti, Roberto Giorgio 2 Giardinà, Cristian 2 Gibou, Frédéric 2 Goldsztein, Guillermo H. 2 Hakim, Abdelilah 2 Hittmeir, Sabine 2 Jiang, Yanqun 2 Ju, Yong Chul 2 Kang, Wei 2 Knapp, Stephan 2 Knopoff, Damian A. 2 Kröner, Axel 2 Kurdi, Heba A. 2 Marcellini, Francesca 2 Mazanti, Guilherme 2 Menci, Marta 2 Mirebeau, Jean-Marie 2 Morancey, Morgan 2 Natalini, Roberto 2 Peri, Daniele 2 Pfirsching, Marion 2 Pignotti, Cristina 2 Pinnau, René 2 Presutti, Errico 2 Preziosi, Luigi 2 Priuli, Fabio Simone 2 Quéau, Yvain 2 Ranetbauer, Helene ...and 265 more Authors
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#### Cited in 81 Serials

 27 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Networks and Heterogeneous Media 7 Journal of Computational Physics 7 SIAM Journal on Applied Mathematics 6 Journal of Optimization Theory and Applications 6 Journal of Scientific Computing 6 Applied Mathematical Modelling 6 SIAM Journal on Mathematical Analysis 5 Discrete and Continuous Dynamical Systems 5 Multiscale Modeling & Simulation 5 Kinetic and Related Models 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 4 SIAM Journal on Scientific Computing 4 NoDEA. Nonlinear Differential Equations and Applications 4 Dynamic Games and Applications 3 Journal of Mathematical Biology 3 Applied Mathematics and Optimization 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Control and Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 SIAM Journal on Applied Dynamical Systems 3 Mathematical Modelling of Natural Phenomena 3 SIAM Journal on Imaging Sciences 3 Discrete and Continuous Dynamical Systems. Series S 3 Communications in Applied and Industrial Mathematics 2 Archive for Rational Mechanics and Analysis 2 SIAM Journal on Numerical Analysis 2 European Journal of Applied Mathematics 2 European Journal of Operational Research 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Systems Science and Complexity 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Algorithms 2 Journal of Mathematics in Industry 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Journal of Engineering Mathematics 1 Wave Motion 1 Applied Mathematics and Computation 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Journal of Intelligent & Robotic Systems 1 Applications of Mathematics 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Computational Optimization and Applications 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) 1 Computational Geosciences 1 Optimization and Engineering 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Analysis and Applications (Singapore) 1 Mathematical Biosciences and Engineering 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Biological Dynamics 1 Advances in Mathematical Physics 1 Set-Valued and Variational Analysis 1 Journal of Theoretical Biology 1 Arabian Journal of Mathematics 1 Journal of Computational Dynamics 1 Computational Visual Media 1 Mathematics in Engineering 1 Cogent Mathematics & Statistics 1 Communications on Applied Mathematics and Computation
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#### Cited in 26 Fields

 114 Partial differential equations (35-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 73 Operations research, mathematical programming (90-XX) 57 Numerical analysis (65-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Systems theory; control (93-XX) 31 Biology and other natural sciences (92-XX) 22 Statistical mechanics, structure of matter (82-XX) 18 Computer science (68-XX) 16 Ordinary differential equations (34-XX) 14 Probability theory and stochastic processes (60-XX) 13 Fluid mechanics (76-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 5 Measure and integration (28-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX)