1 |
R. Liska and B. Wendroff, Two dimensional shallow water equations by composite schemes, Int. J. Numer. Meth. Fluids 30 (1999), 461-479
DOI
ScienceOn
|
2 |
T. Zhang and Y. Zheng, Two-dimensional Riemann problem for a single conservation law, Trans. Amer. Math. Soc. 312 (1989), no. 2, 589-619
DOI
ScienceOn
|
3 |
T. Zhang and Y. Zheng, Conjecture on the structure of solutions of the Riemann problem for two-dimensional gas dynamics systems, SIAM J. Math. Anal. 21 (1990), no. 3, 593-630
DOI
|
4 |
T. Chang and L. Hsiao, The Riemann Problem and Interaction of Waves in Gas Dynamics, Pitman Monographs and Surveys in Pure and Applied Mathematics, 41. Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1989
|
5 |
G. Chen, D. Li, and D. Tan, Structure of Riemann solutions for 2-dimensional scalar conservation laws, J. Differential Equations 127 (1996), no. 1, 124-147
DOI
ScienceOn
|
6 |
J. Guckenheimer, Shocks and rarefactions in two space dimensions, Arch. Rational Mech. Anal. 59 (1975), no. 3, 281-291
|
7 |
W. Hwang, The 2-dimensional Riemann problem, J. Inst. Sci. Tech. Korea University 12 (2004), 29-34
|
8 |
C. Schulz-Rinne, Classification of the Riemann problem for two-dimensional gas dynamics, SIAM J. Math. Anal. 24 (1993), no. 1, 76-88
DOI
|
9 |
T. Chang, G. Chen, and S. Yang, On the 2-D Riemann problem for the compressible Euler equations. I. Interaction of shocks and rarefaction waves, Discrete Contin. Dynam. Systems 1 (1995), no. 4, 555-584
DOI
|
10 |
R. Liska and B. Wendroff, Composite schemes for conservation laws, SIAM J. Numer. Anal. 35 (1998), no. 6, 2250-2271
DOI
ScienceOn
|
11 |
C. Schulz-Rinne, J. Collins, and H. Glaz, Numerical solution of the Riemann problem for two-dimensional gas dynamics, SIAM J. Sci. Comput. 14 (1993), no. 6, 1394-1414
DOI
ScienceOn
|
12 |
D. Wagner, The Riemann problem in two space dimensions for a single conservation law, SIAM J. Math. Anal. 14 (1983), no. 3, 534-559
DOI
|
13 |
T. Zhang and G. Chen, Some fundamental concepts about system of two spatial dimensional conservation laws, Acta Math. Sci. (English Ed.) 6 (1986), no. 4, 463-474
DOI
|
14 |
P. Zhang and T. Zhang, Generalized characteristic analysis and Guckenheimer structure, J. Differential Equations 152 (1999), no. 2, 409-430
DOI
ScienceOn
|
15 |
W. B. Lindquist, Construction of solutions for two-dimensional Riemann problems, Hyperbolic partial differential equations, III. Comput. Math. Appl. Part A 12 (1986), no. 4-5, 615-630
DOI
|
16 |
W. Hwang and W. B. Lindquist, The 2-dimensional Riemann problem for a 2 2 hyperbolic conservation law. I. Isotropic media, SIAM J. Math. Anal. 34 (2002), no. 2, 341-358
DOI
ScienceOn
|
17 |
W. Hwang and W. B. Lindquist, The 2-dimensional Riemann problem for a 2 2 hyperbolic conservation law. II. Anisotropic media, SIAM J. Math. Anal. 34 (2002), no. 2, 359-384
DOI
ScienceOn
|
18 |
W. B. Lindquist, The scalar Riemann problem in two spatial dimensions: piecewise smoothness of solutions and its breakdown, SIAM J. Math. Anal. 17 (1986), no. 5, 1178-1197
DOI
|