-
1
-
-
0000090588
-
On kinematics wave. I: Flood movement in long rivers; II: A theory of traffic flow on long crowded roads
-
1 M. J. Lighthill and G. B. Whitham, On kinematics wave. I: Flood movement in long rivers; II: A theory of traffic flow on long crowded roads, Proc Roy Soc London Ser A 229 ( 1955), 281–345.
-
(1955)
Proc Roy Soc London Ser A
, vol.229
, pp. 281-345
-
-
Lighthill, M.J.1
Whitham, G.B.2
-
2
-
-
0002842180
-
Shock waves on the highway
-
2 P. I. Richards, Shock waves on the highway, Operations Res 4 ( 1956), 42–51.
-
(1956)
Operations Res
, vol.4
, pp. 42-51
-
-
Richards, P.I.1
-
3
-
-
0001405969
-
Statistical physics of vehicular traffic and some related systems
-
3 D. Chowdhury, L. Santen and A. Schadschneider, Statistical physics of vehicular traffic and some related systems, Phys Rep 323 ( 2000), 199–329.
-
(2000)
Phys Rep
, vol.323
, pp. 199-329
-
-
Chowdhury, D.1
Santen, L.2
Schadschneider, A.3
-
4
-
-
0035470907
-
Traffic and related self‐driven many‐particle systems
-
4 D. Helbing, Traffic and related self‐driven many‐particle systems, Rev Modern Phys 73 ( 2001).
-
(2001)
Rev Modern Phys
, vol.73
-
-
Helbing, D.1
-
5
-
-
0004181419
-
Linear and Nonlinear Waves
-
5 G. B. Whitham, Linear and Nonlinear Waves, John Wiley and Sons, New York, 1974.
-
(1974)
-
-
Whitham, G.B.1
-
6
-
-
0037532896
-
Hyperbolic conservation laws with space‐dependent flux: I. Characteristics theory and Riemann problem
-
6 P. Zhang and R. X. Liu, Hyperbolic conservation laws with space‐dependent flux: I. Characteristics theory and Riemann problem, J Comput Appl Math 156 ( 2003), 1–21.
-
(2003)
J Comput Appl Math
, vol.156
, pp. 1-21
-
-
Zhang, P.1
Liu, R.X.2
-
7
-
-
0000814788
-
The solution of nonstrictly hyperbolic conservation laws may be hard to compute
-
7 A. Tveito and R. Winther, The solution of nonstrictly hyperbolic conservation laws may be hard to compute, SIAM J Sci Comput 16 (2) ( 1995), 320–329.
-
(1995)
SIAM J Sci Comput
, vol.16
, Issue.2
, pp. 320-329
-
-
Tveito, A.1
Winther, R.2
-
8
-
-
0033196472
-
Stability of conservation laws with discontinuous coefficients
-
8 R. A. Klausen, Stability of conservation laws with discontinuous coefficients, J Differ Eq 157 ( 1999), 41–60.
-
(1999)
J Differ Eq
, vol.157
, pp. 41-60
-
-
Klausen, R.A.1
-
9
-
-
84863020453
-
Upwind differencing for hyperbolic systems of conservation laws, Numerical Methods for Engineering
-
9 B. Van Leer, Upwind differencing for hyperbolic systems of conservation laws, Numerical Methods for Engineering, Vol. 1, Dunod, Paris, 1980, pp 137–149.
-
(1980)
, pp. 137-149
-
-
Van Leer, B.1
-
10
-
-
2942757053
-
Approximate Riemann solvers, parameter vectors, and difference schemes
-
10 P. L. Roes, Approximate Riemann solvers, parameter vectors, and difference schemes, J Comp Phys 43 ( 1981), 357–372.
-
(1981)
J Comp Phys
, vol.43
, pp. 357-372
-
-
Roes, P.L.1
-
11
-
-
40749159424
-
High resolution schemes for hyperbolic conservation laws
-
11 A. Harten, High resolution schemes for hyperbolic conservation laws, J Comput Phys 49 ( 1983), 357–393.
-
(1983)
J Comput Phys
, vol.49
, pp. 357-393
-
-
Harten, A.1
-
12
-
-
0000876320
-
On upstream differencing and Godunov‐type schemes for hyperbolic conservation laws
-
12 A. Harten, P. D. Lax, and B. Van Leer, On upstream differencing and Godunov‐type schemes for hyperbolic conservation laws, SIAM Rev 25 (1) ( 1983).
-
(1983)
SIAM Rev
, vol.25
, Issue.1
-
-
Harten, A.1
Lax, P.D.2
Van Leer, B.3
-
13
-
-
84966246413
-
TVB Runge‐Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework
-
13 B. Cockburn and C. W. Shu, TVB Runge‐Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework, Math Comput 52 ( 1989), 411–435.
-
(1989)
Math Comput
, vol.52
, pp. 411-435
-
-
Cockburn, B.1
Shu, C.W.2
-
14
-
-
45249130080
-
TVB Runge‐Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one dimensional systems
-
14 B. Cockburn, S.‐Y. Lin, and C. W. Shu, TVB Runge‐Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one dimensional systems, J Comput Phys 84 ( 1989), 90–113.
-
(1989)
J Comput Phys
, vol.84
, pp. 90-113
-
-
Cockburn, B.1
Lin, S.‐Y.2
Shu, C.W.3
-
15
-
-
84966261380
-
The Runge‐Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case
-
15 B. Cockburn, S. Hou and C. W. Shu, The Runge‐Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case, Math Comput 54 ( 1990), 545–581.
-
(1990)
Math Comput
, vol.54
, pp. 545-581
-
-
Cockburn, B.1
Hou, S.2
Shu, C.W.3
-
16
-
-
0000869912
-
The Runge‐Kutta local projection P‐discontinuous Galerkin methods for scalar conservation laws
-
16 B. Cockburn and C. W. Shu, The Runge‐Kutta local projection P‐discontinuous Galerkin methods for scalar conservation laws. M2AN 25 ( 1991), 337–361.
-
(1991)
M2AN
, vol.25
, pp. 337-361
-
-
Cockburn, B.1
Shu, C.W.2
-
17
-
-
0001279910
-
Lecture Notes in Mathematics–An Introduction to the Discontinuous Galerkin Method for Convection‐Dominated Problems [R]: 1697
-
17 B. Cockburn, Lecture Notes in Mathematics–An Introduction to the Discontinuous Galerkin Method for Convection‐Dominated Problems [R]: 1697, Springer, Cetraro, Italy: 1997, pp. 151–185.
-
(1997)
, pp. 151-185
-
-
Cockburn, B.1
-
18
-
-
0034926294
-
The discontinuous finite element method for red‐and‐green light models for the traffic flow
-
18 L. Ru‐Xun and L. Hong, The discontinuous finite element method for red‐and‐green light models for the traffic flow, Math Comput Simulation 56‐1 ( 2001), 55–67.
-
(2001)
Math Comput Simulation
, vol.56‐1
, pp. 55-67
-
-
Ru‐Xun, L.1
Hong, L.2
-
19
-
-
0038232884
-
Finite element analysis on traffic flow problems (I)
-
19 Z. Peng and L. Ru‐Xun, Finite element analysis on traffic flow problems (I), Chinese J Comput Phys 18 (4) ( 2001), 229–333.
-
(2001)
Chinese J Comput Phys
, vol.18
, Issue.4
, pp. 229-333
-
-
Peng, Z.1
Ru‐Xun, L.2
-
20
-
-
0037557367
-
Finite element analysis on traffic flow problems (II)
-
20 Z. Peng and L. Ru‐Xun, Finite element analysis on traffic flow problems (II), Chinese J Comput Phys 19 (2) ( 2002), 142–148.
-
(2002)
Chinese J Comput Phys
, vol.19
, Issue.2
, pp. 142-148
-
-
Peng, Z.1
Ru‐Xun, L.2
-
21
-
-
0038571627
-
Finite element analysis on traffic flow problems (III)
-
21 Z. Peng and L. Ru‐Xun, Finite element analysis on traffic flow problems (III), Chinese J Comput Phys 20 (2) ( 2003), 130–136.
-
(2003)
Chinese J Comput Phys
, vol.20
, Issue.2
, pp. 130-136
-
-
Peng, Z.1
Ru‐Xun, L.2
|