Cell Transmission Model (CTM) is a popular numerical method proposed by Carlos Daganzo[1] to solve the kinematic wave equation.[2][3] Lebacque[4] later showed that CTM is the first order discrete Godunov approximation.[5]
^Daganzo C.F., The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory, Transportation Research Part B: Methodological, Volume 28, Issue 4, August 1994, Pages 269-287
^Lighthill and Witham, On kinematic waves: II. A theory of traffic flow on long crowded roads. Proceedings of the Royal Society of London (Series A). 229(1178). pp. 317-345, 1955
^Richards, Shock waves on the Highway. Operations Research. 4(1). pp. 42-51, 1956
^Lebacque, The godunov scheme and what it means for first order traffic flow models. In J. B. Lesort, editor, 13th ISTTT Symposium, pages 647–678, Elsevier, New York, 1996
^Godunov, A Difference Scheme for Numerical Solution of Discontinuous Solution of Hydrodynamic Equations, Mat. Sbornik, 47, 271-306, 1959
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