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Volumn 5, Issue 2, 2005, Pages 155-169

General Kinetic Models for Vehicular Traffic Flows and Monte-Carlo Methods

Author keywords

kinetic equations; Monte Carlo methods; stationary solutions

Indexed keywords


EID: 84962134831     PISSN: 16094840     EISSN: 16099389     Source Type: Journal    
DOI: 10.2478/cmam-2005-0008     Document Type: Article
Times cited : (18)

References (15)
  • 1
    • 0003478391 scopus 로고
    • Molecular gas dynamics
    • Clarendon Press, Oxford
    • G. Bird, Molecular gas dynamics, Clarendon Press, Oxford, 1976.
    • (1976)
    • Bird, G.1
  • 2
    • 0036170488 scopus 로고    scopus 로고
    • An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations
    • M. Gunther, A. Klar, T. Materne, and R. Wegener, An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations, Math. Comp. Modelling, 35 (2002), p. 591.
    • (2002) Math. Comp. Modelling , vol.35 , pp. 591
    • Gunther, M.1    Klar, A.2    Materne, T.3    Wegener, R.4
  • 3
    • 0035470907 scopus 로고    scopus 로고
    • Traffic and related self-driven many-particle systems
    • D. Helbing, Traffic and related self-driven many-particle systems, Reviews of Modern Physics, 73 (2001), pp. 1067-1141.
    • (2001) Reviews of Modern Physics , vol.73 , pp. 1067-1141
    • Helbing, D.1
  • 5
    • 0031116106 scopus 로고    scopus 로고
    • Enskog-like kinetic models for vehicular traffic
    • A. Klar and R. Wegener, Enskog-like kinetic models for vehicular traffic, J. Stat. Phys., 87 (1997), pp. 91-114.
    • (1997) J. Stat. Phys. , vol.87 , pp. 91-114
    • Klar, A.1    Wegener, R.2
  • 6
    • 0342404881 scopus 로고    scopus 로고
    • A hierachy of models for multilane vehicular traffic I: Modeling
    • A. Klar and R. Wegener, A hierachy of models for multilane vehicular traffic I: Modeling, SIAM J. Appl. Math., 59 (1998), pp. 983-1001.
    • (1998) SIAM J. Appl. Math. , vol.59 , pp. 983-1001
    • Klar, A.1    Wegener, R.2
  • 7
    • 0039676923 scopus 로고    scopus 로고
    • A hierachy of models for multilane vehicular traffic II: Numerical investigations
    • A. Klar and R. Wegener, A hierachy of models for multilane vehicular traffic II: Numerical investigations, SIAM J. Appl. Math., 59 (1998), pp. 1002-1011.
    • (1998) SIAM J. Appl. Math. , vol.59 , pp. 1002-1011
    • Klar, A.1    Wegener, R.2
  • 8
    • 0033658831 scopus 로고    scopus 로고
    • Kinetic derivation of macroscopic anticipation models for vehicular traffic
    • A. Klar and R. Wegener, Kinetic derivation of macroscopic anticipation models for vehicular traffic, SIAM J. Appl. Math., 60 ( 2000), pp. 1749-1766.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1749-1766
    • Klar, A.1    Wegener, R.2
  • 9
    • 33645836762 scopus 로고
    • Direct simulation scheme derived from the Boltzmann equation
    • K. Nanbu, Direct simulation scheme derived from the Boltzmann equation, J.Phys. Soc. Japan, 49 (1980), pp. 2042-2049.
    • (1980) J.Phys. Soc. Japan , vol.49 , pp. 2042-2049
    • Nanbu, K.1
  • 10
    • 0742302545 scopus 로고    scopus 로고
    • An introduction to Monte Carlo methods for the Boltzmann equation
    • L. Pareschi and G. Russo, An introduction to Monte Carlo methods for the Boltzmann equation, in: ESAIM: Proceedings, vol. 10, 2001, p. 35.
    • (2001) ESAIM: Proceedings , vol.10 , pp. 35
    • Pareschi, L.1    Russo, G.2
  • 11
    • 0036341659 scopus 로고    scopus 로고
    • Time Relaxed Monte Carlo methods for the Boltzmann equation
    • L. Pareschi and G. Russo, Time Relaxed Monte Carlo methods for the Boltzmann equation, SIAM J. Sci. Comp., 23 (2001), p. 12-53.
    • (2001) SIAM J. Sci. Comp. , vol.23 , pp. 12-53
    • Pareschi, L.1    Russo, G.2
  • 12
    • 0016543519 scopus 로고
    • On Boltzmann like treatments for traffic flow
    • S. Paveri-Fontana, On Boltzmann like treatments for traffic flow, Transportation Research, 9 (1975), pp. 225-235.
    • (1975) Transportation Research , vol.9 , pp. 225-235
    • Paveri-Fontana, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.