-
2
-
-
0016543519
-
On Boltzmann like treatments for traffic flow
-
Paveri Fontana S.L. On Boltzmann like treatments for traffic flow. Transp. Res. 9 (1975) 225-235
-
(1975)
Transp. Res.
, vol.9
, pp. 225-235
-
-
Paveri Fontana, S.L.1
-
3
-
-
0031116106
-
Enskog-like kinetic models for vehicular traffic
-
Klar A., and Wegener R. Enskog-like kinetic models for vehicular traffic. J. Stat. Phys. 87 (1997) 91-114
-
(1997)
J. Stat. Phys.
, vol.87
, pp. 91-114
-
-
Klar, A.1
Wegener, R.2
-
4
-
-
21844517333
-
A kinetic model of vehicular traffic and its associated bimodal equilibrium solution
-
Nelson P. A kinetic model of vehicular traffic and its associated bimodal equilibrium solution. Transp. Theory Stat. Phys. 24 (1995) 383-409
-
(1995)
Transp. Theory Stat. Phys.
, vol.24
, pp. 383-409
-
-
Nelson, P.1
-
5
-
-
34249812460
-
-
A. Sopasakis, Developments in the theory of Prigogine-Hermann kinetic equations for traffic flow, Ph.D. Dissertation, Mathematics, Texas A & M University, May 2000.
-
-
-
-
6
-
-
0036169949
-
A personalized kinetic model of traffic flow
-
Lo Schiavo M. A personalized kinetic model of traffic flow. Math. Comput. Modelling 35 (2002) 607-622
-
(2002)
Math. Comput. Modelling
, vol.35
, pp. 607-622
-
-
Lo Schiavo, M.1
-
7
-
-
0348142119
-
Nonlinear models of vehicular traffic flow-new frameworks of the mathematical kinetic theory
-
Delitala M. Nonlinear models of vehicular traffic flow-new frameworks of the mathematical kinetic theory. CR-Mecanique 331 (2003) 817-822
-
(2003)
CR-Mecanique
, vol.331
, pp. 817-822
-
-
Delitala, M.1
-
8
-
-
3242673148
-
On the closure of mass conservation equation and stability analysis in the mathematical theory of vehicular traffic flow
-
Coscia V. On the closure of mass conservation equation and stability analysis in the mathematical theory of vehicular traffic flow. CR Mecanique 332 (2004) 585-590
-
(2004)
CR Mecanique
, vol.332
, pp. 585-590
-
-
Coscia, V.1
-
9
-
-
27844464902
-
First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow
-
Bellomo N., and Coscia V. First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow. CR Mecanique 333 (2005) 843-851
-
(2005)
CR Mecanique
, vol.333
, pp. 843-851
-
-
Bellomo, N.1
Coscia, V.2
-
10
-
-
0034924563
-
Aggregation of a class of interconnected linear dynamical systems
-
Darbha S., and Rajagopal K.R. Aggregation of a class of interconnected linear dynamical systems. Syst. Control Lett. 43 (2001) 387-401
-
(2001)
Syst. Control Lett.
, vol.43
, pp. 387-401
-
-
Darbha, S.1
Rajagopal, K.R.2
-
11
-
-
0346485714
-
Aggregation of a class of large scale interconnected, nonlinear dynamical systems
-
Darbha S., and Rajagopal K.R. Aggregation of a class of large scale interconnected, nonlinear dynamical systems. Math. Probl. Eng. 7 (2001) 379-392
-
(2001)
Math. Probl. Eng.
, vol.7
, pp. 379-392
-
-
Darbha, S.1
Rajagopal, K.R.2
-
12
-
-
0036811640
-
Limit of a collection of dynamical systems: an application to modelling the flow of traffic
-
Darbha S., and Rajagopal K.R. Limit of a collection of dynamical systems: an application to modelling the flow of traffic. Math. Models Methods Appl. Sci. 12 (2002) 1381-1400
-
(2002)
Math. Models Methods Appl. Sci.
, vol.12
, pp. 1381-1400
-
-
Darbha, S.1
Rajagopal, K.R.2
-
13
-
-
0035470907
-
Traffic and related self-driven many-particle systems
-
Helbing D. Traffic and related self-driven many-particle systems. Rev. Mod. Phys. 73 (2001) 1067-1141
-
(2001)
Rev. Mod. Phys.
, vol.73
, pp. 1067-1141
-
-
Helbing, D.1
-
14
-
-
0001085580
-
Mathematical models for vehicular traffic
-
Klar A., Kun̈e R.D., and Wegener R. Mathematical models for vehicular traffic. Surv. Math. Ind. 6 (1996) 215-239
-
(1996)
Surv. Math. Ind.
, vol.6
, pp. 215-239
-
-
Klar, A.1
Kun̈e, R.D.2
Wegener, R.3
-
16
-
-
0036951683
-
On the mathematical theory of vehicular traffic flow I-fluid dynamic and kinetic modeling
-
Bellomo N., Coscia V., and Delitala M. On the mathematical theory of vehicular traffic flow I-fluid dynamic and kinetic modeling. Math. Models Methods Appl. Sci. 12 (2002) 1801-1844
-
(2002)
Math. Models Methods Appl. Sci.
, vol.12
, pp. 1801-1844
-
-
Bellomo, N.1
Coscia, V.2
Delitala, M.3
-
17
-
-
34249782634
-
-
R. Gatignol, Théorie Cinétique d'un Gaz à Répartition Discréte des Vitèsses, Springer Lecture Notes in Physics, vol. 36, Springer, Berlin, 1975.
-
-
-
-
18
-
-
0036000662
-
Generalized kinetic (Boltzmann) models: mathematical structures and applications
-
Arlotti L., Bellomo N., and De Angelis E. Generalized kinetic (Boltzmann) models: mathematical structures and applications. Math. Models Methods Appl. Sci. 12 (2002) 567-592
-
(2002)
Math. Models Methods Appl. Sci.
, vol.12
, pp. 567-592
-
-
Arlotti, L.1
Bellomo, N.2
De Angelis, E.3
-
19
-
-
2342581301
-
-
World Scientific, London, Singapore
-
Arlotti L., Bellomo N., De Angelis E., and Lachowicz M. Generalized Kinetic Models in Applied Sciences-Lecture Notes on Mathematical Problems (2003), World Scientific, London, Singapore
-
(2003)
Generalized Kinetic Models in Applied Sciences-Lecture Notes on Mathematical Problems
-
-
Arlotti, L.1
Bellomo, N.2
De Angelis, E.3
Lachowicz, M.4
-
20
-
-
34249829676
-
-
N. Bellomo, R. Gatignol (Eds.), Lecture Notes on the Discretization of the Boltzmann Equation, World Scientific, London, Singapore, 2003.
-
-
-
-
21
-
-
34249803644
-
-
B. Kerner, The Physics of Traffic: Empirical Freeway Pattern Features, Engineering Applications, and Theory, Springer, Berlin.
-
-
-
-
22
-
-
0442323025
-
On a diffusively corrected kinematic-wave traffic flow model with changing road surface conditions
-
Burger R., and Karlsen K.H. On a diffusively corrected kinematic-wave traffic flow model with changing road surface conditions. Math. Models Methods Appl. Sci. 13 (2003) 1767-1800
-
(2003)
Math. Models Methods Appl. Sci.
, vol.13
, pp. 1767-1800
-
-
Burger, R.1
Karlsen, K.H.2
-
23
-
-
0036167401
-
Node and link models for network traffic flow simulation
-
(Special Issue on Traffic Flow Modelling)
-
Astarita V. Node and link models for network traffic flow simulation. Math. Comput. Modelling 35 (2002) 643-656 (Special Issue on Traffic Flow Modelling)
-
(2002)
Math. Comput. Modelling
, vol.35
, pp. 643-656
-
-
Astarita, V.1
-
24
-
-
3242705378
-
Simplified dynamics and optimization of large scale networks
-
Herthy T., and Klar A. Simplified dynamics and optimization of large scale networks. Math. Models Methods Appl. Sci. 14 (2004) 579-602
-
(2004)
Math. Models Methods Appl. Sci.
, vol.14
, pp. 579-602
-
-
Herthy, T.1
Klar, A.2
-
25
-
-
33746069282
-
-
N. Bellomo, G. Forni, Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems, Math. Models Methods Appl. Sci. 16 (2006) 1001-1029.
-
-
-
-
26
-
-
0029416695
-
Requiem for second order fluid approximations of traffic flow
-
Daganzo C. Requiem for second order fluid approximations of traffic flow. Transp. Res. B 29B (1995) 277-286
-
(1995)
Transp. Res. B
, vol.29 B
, pp. 277-286
-
-
Daganzo, C.1
-
27
-
-
7244232531
-
From discrete kinetic theory and stochastic game theory to modelling complex systems in applied sciences
-
Bertotti L., and Delitala M. From discrete kinetic theory and stochastic game theory to modelling complex systems in applied sciences. Math. Models Methods Appl. Sci. 14 (2004) 1061-1084
-
(2004)
Math. Models Methods Appl. Sci.
, vol.14
, pp. 1061-1084
-
-
Bertotti, L.1
Delitala, M.2
-
29
-
-
0033119901
-
Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems
-
De Angelis E. Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems. Math. Comput. Modelling 29 (1999) 83-95
-
(1999)
Math. Comput. Modelling
, vol.29
, pp. 83-95
-
-
De Angelis, E.1
-
30
-
-
34249774069
-
-
H. Cabannes, The discrete Boltzmann equation, Lectures Notes given at Berkeley, 1980, revised ed., 2003.
-
-
-
-
31
-
-
27644478289
-
-
A. Bellouquid, M. Delitala, Mathematical methods and tools of kinetic theory towards modelling complex biological systems, Math. Models Methods Appl. Sci. 15 (2005) 1639-1666.
-
-
-
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