[1] |
戴世强,冯苏苇,顾国庆.交通流动力学:它的内容、方法和意义[J].自然杂志,1997,11(4):196—201.
|
[2] |
Helbing D.Traffic and related self-driven many-particle systems[J].Rev Mod Phys,2001,73(4):1067—1141. doi: 10.1103/RevModPhys.73.1067
|
[3] |
Lighthill M H,Whitham G B.On kinematics wave—Ⅱ a theory of traffic flow on long crowded roads[J].Proc Roy Soc London,Ser A,1955,22:317—345.
|
[4] |
Richards P I.Shack waves on the highway[J].Operations Research,1956,4(2):42—51. doi: 10.1287/opre.4.1.42
|
[5] |
Wong G C K,Wong S C.a multi-class traffic flow model—an extension of LWR model with heterogeneous drivers[J].Transpn Res A,2002,36(9):827—841.
|
[6] |
Harten A,Engquish B,Osher S,et al.Uniformly high order essentially non-oscillatory schemes Ⅲ[J].J Comput Phys,1987,71(2):231—303. doi: 10.1016/0021-9991(87)90031-3
|
[7] |
Jiang G,Shu C -W.Efficient implementation of weighted ENO schemes[J].J Comput Phys,1996,126(1):202—228. doi: 10.1006/jcph.1996.0130
|
[8] |
Liu X -D,Osher S,Chan T.Weighted essentially nonoscillatory schemes[J].J Comput Phys,1994,115(1):200—212. doi: 10.1006/jcph.1994.1187
|
[9] |
Shu C -W.Lecture Notes in Mathematics-Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws[R]. 1697, Cetraro, Italy: Springe, 1997,329—432.
|
[10] |
Whitham G B.Linear and Nonlinear Waves[M].NY: John Wiley and Sons, 1974.
|
[11] |
Lax P D.Shock Waves and Entropy.In:Zarantonello E A Ed.Nonlinear Functional Analysis[M].New York:Academic Press, 1971.
|
[12] |
Lax P D.Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves[M].Philadelphia:SIAM,1973.
|
[13] |
Toro E F.Riemann Solvers and Numerical Methods for Fluid Dynamics[M].Berlin:Springer~Verlay,1999.
|
[14] |
Shu C -W.TVB uniformly high order scheme for conservation laws[J].Mathematics of Computation,1987,49(179):105—121. doi: 10.1090/S0025-5718-1987-0890256-5
|
[15] |
Shu C -W.Total-variation-diminishing time discretizations[J].SIAM Journal on Scientific and Statistical Computation,1988,9(4):1073—1084. doi: 10.1137/0909073
|