1 |
E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics, Springer-Verlag , New York (1997).
|
2 |
R.J. LEVEQUE, Numerical methods for conservation laws, Lectures in Mathematics ETH Zurich, Birkhauser Verlag, Basel, 1990.
|
3 |
R.J. LEVEQUE, High-resolution conservative algorithms for advection in incompressible flow. SIAM J. Sci. Compu., 1995.
|
4 |
R.J. LEVEQUE, Clawpack Version 4.0 Users Guide, Technical report, University of Washington, Seattle, 1999. Available online at http://www.amath.washington.edu/claw/.
|
5 |
H. NESSYAHU AND E. TADMOR, Nonoscillatory central differencing for hyperbolic conservation laws, J. Comput. Phys., 87 (1990), no. 2, 408-463.
DOI
ScienceOn
|
6 |
B. VAN LEER, MUSCL, A New Approach to Numerical Gas Dynamics. In Computing in Plasma Physics and Astrophysics, Max-Planck-Institut fur Plasma Physik, Garchung, Germany, April 1976.
|
7 |
A.L. BERTOZZI, A. MUNCH, M. SHEARER, Undercompressive shocks in thin film flows Physica D 134 (1999) 431-464
DOI
ScienceOn
|
8 |
A.L. Bertozzi, A. Munch, M. Shearer, Undercompressive shocks in thin film flows, Physica D 134 431-464 (1999).
DOI
ScienceOn
|
9 |
R. Borges, M. Carmona, B. Costa, and W.S. Don, An improved WENO scheme for hyperbolic conservation laws, J. Comput. Phys. 227, 3191-3211 (2008).
DOI
ScienceOn
|
10 |
Y. HA, Y.-J. KIM, AND T.G. MYERS, On the numerical solution of a driven thin film equation, J. Comput. Phys. 227, 7246-7263 (2008).
DOI
ScienceOn
|
11 |
Y. Ha, C.L. Gardner, A. Gelb, and C.W. Shu Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling JSC 24, 29-44 (2005).
|
12 |
A. Harten, P.D. Lax, B. van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws, SIAM Rev. 25, 35 (1983).
DOI
ScienceOn
|
13 |
A. Harten, On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes, SIAM J. Numer. Anal.,Vol. 21, no. 1, 1-23 (1984).
DOI
ScienceOn
|
14 |
A. Harten and G. Zwas, Self-Adjusting Hybrid Schemes for Shock Computations, J. Comput. Phys. 9, 568-583 (1973).
DOI
|
15 |
A.K. Henrick, T.D. Aslam, and J.M. Powers, Mapped weighted-essentially-non-oscillatory schemes : achieving optimal order near critical points, J. Comput. Phys. 207, 542-567 (2005).
DOI
ScienceOn
|
16 |
R. J. LeVeque, Numerical Methods for Conservation Laws, Birkhauser Verlag, Basel (1992).
|
17 |
G-S. Jiang and C.-W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys., 126 (1996), pp. 202-228.
DOI
ScienceOn
|
18 |
P. D. Lax and B.Wendroff, Systems of conservation laws, Communications in Pure and Applied Mathematics 13, 217(1960).
DOI
|
19 |
X-D. Liu, S. Osher, and T. Chan,Weighted essentially non-oscillatory schemes, J. Comput. Phys., 115 (1994), pp. 200-212.
DOI
ScienceOn
|
20 |
P. L. Roe, Approximate Riemann solvers, paremeter vectors, and difference schemes, J.Comp. Phys.,43, 357-372(1981).
DOI
ScienceOn
|
21 |
T. Schmutzler and W. M. Tscharnuter, Effective radiative cooling in optically thin plasmas, Astronomy and Astrophysics 273, 318-330, (1993).
|
22 |
C.-W. Shu, Total-variation-diminshing time discretizations SIAM J. Sci. Statist. Comput. 9, 1073-1084 (1988).
DOI
|
23 |
C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock capturing schemes, J. Comput. Phys. 77, 32 (1988).
|
24 |
C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock capturing schemes,II, J. Comput. Phys. 83, 32-78 (1989).
DOI
ScienceOn
|
25 |
C.W. Shu, ENO and WENO schemes for hyperbolic conservation laws, in: B. Cockburn, C. Johnson, C.W. Shu, E. Tadmor (Eds.), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Lecture Notes in Mathematics, vol. 1697, Springer, Berlin, 1998, pp. 325-432 (also NASA CR- 97-206253 and ICASE-97-65 Rep., NASA Langley Research Center, Hampton [VA, USA]).
|
26 |
P. K. Sweby, High resolution schemes using flux limiters hyperbolic conservation laws, SIAM J.Numer. Anal. Vol. 21, No.5, 995-1011(1984).
DOI
ScienceOn
|