-
1
-
-
0027561554
-
A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
-
F. Alcrudo and P. Garcia-Navarro, A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations, Internat. J. Numer. Methods Fluids, 16 (1993), pp. 489-505.
-
(1993)
Internat. J. Numer. Methods Fluids
, vol.16
, pp. 489-505
-
-
Alcrudo, F.1
Garcia-Navarro, P.2
-
2
-
-
0028976397
-
Approximation of shallow water equations by Roe's Riemann solver
-
D. Ambrosi, Approximation of shallow water equations by Roe's Riemann solver, Internat. J. Numer. Methods Fluids, 20 (1995), pp. 157-168.
-
(1995)
Internat. J. Numer. Methods Fluids
, vol.20
, pp. 157-168
-
-
Ambrosi, D.1
-
3
-
-
0032030398
-
Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
-
A. Bermùdez, A. Dervieux, J. A. Désidéri, and M. E. Vázquez, Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes, Comput. Methods Appl. Mech. Engrg., 155 (1998), pp. 49-72.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.155
, pp. 49-72
-
-
Bermùdez, A.1
Dervieux, A.2
Désidéri, J.A.3
Vázquez, M.E.4
-
4
-
-
0006338644
-
Well-posedness of the Cauchy problem for n × n systems of conservation laws
-
to appear
-
A. Bressan, G. Crasta, and B. Piccoli, Well-posedness of the Cauchy problem for n × n systems of conservation laws, Mem. Amer. Math. Soc., to appear
-
Mem. Amer. Math. Soc.
-
-
Bressan, A.1
Crasta, G.2
Piccoli, B.3
-
5
-
-
0031295331
-
Uniqueness of weak solutions to systems of conservation laws
-
A. Bressan and P. LeFloch, Uniqueness of weak solutions to systems of conservation laws, Arch. Rational Mech. Anal., 140:4 (1997), pp. 301-317.
-
(1997)
Arch. Rational Mech. Anal.
, vol.140
, Issue.4
, pp. 301-317
-
-
Bressan, A.1
LeFloch, P.2
-
6
-
-
0025473498
-
Explicit methods for 2-D transient free-surface flows
-
R. J. Fennema and M. H. Chaudhry, Explicit methods for 2-D transient free-surface flows, J. Hydraul. Eng., 116 (1990), pp. 1013-1034.
-
(1990)
J. Hydraul. Eng.
, vol.116
, pp. 1013-1034
-
-
Fennema, R.J.1
Chaudhry, M.H.2
-
8
-
-
0041935750
-
A front tracking method for conservation laws in two dimensions
-
H. Holden, K.-A. Lie, and N. H. Risebro, A front tracking method for conservation laws in two dimensions, J. Comput. Phys., 150 (1999), pp. 76-96.
-
(1999)
J. Comput. Phys.
, vol.150
, pp. 76-96
-
-
Holden, H.1
Lie, K.-A.2
Risebro, N.H.3
-
9
-
-
84968505714
-
A method of fractional steps for scalar conservation laws without the CFL condition
-
H. Holden and N. H. Risebro, A method of fractional steps for scalar conservation laws without the CFL condition, Math. Comp., 60(201) (1993), pp. 221-232.
-
(1993)
Math. Comp.
, vol.60
, Issue.201
, pp. 221-232
-
-
Holden, H.1
Risebro, N.H.2
-
10
-
-
0004304885
-
-
Lecture Notes, Department of Mathematical Sciences, Norwegian University of Science and Technology
-
H. Holden and N. H. Risebro, Front Tracking for Conservation Laws, Lecture Notes, Department of Mathematical Sciences, Norwegian University of Science and Technology.
-
Front Tracking for Conservation Laws
-
-
Holden, H.1
Risebro, N.H.2
-
11
-
-
0032206542
-
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws
-
G.-S. Jiang and E. Tadmor, Nonoscillatory central schemes for multidimensional hyperbolic conservation laws, SIAM J. Sci. Comput., 19:6 (1998), pp. 1892-1917.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, Issue.6
, pp. 1892-1917
-
-
Jiang, G.-S.1
Tadmor, E.2
-
12
-
-
0030173370
-
On an implementation of a front tracking method for hyperbolic conservation laws
-
J. O. Langseth, On an implementation of a front tracking method for hyperbolic conservation laws, Advances in Engineering Software, 26:1 (1996), pp. 45-63.
-
(1996)
Advances in Engineering Software
, vol.26
, Issue.1
, pp. 45-63
-
-
Langseth, J.O.1
-
13
-
-
0041434395
-
A conservative front tracking scheme for 1D hyperbolic conservation laws
-
A. Donato and F. Oliveri, eds., of Notes Numer. Fluid Mech., Vieweg, Braunschweig
-
J. O. Langseth, N. H. Risebro, and A. Tveito, A conservative front tracking scheme for 1D hyperbolic conservation laws, in Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects (Taormina, 1992), A. Donato and F. Oliveri, eds., Vol. 43 of Notes Numer. Fluid Mech., Vieweg, Braunschweig, 1993, pp. 385-392.
-
(1993)
Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects (Taormina, 1992)
, vol.43
, pp. 385-392
-
-
Langseth, J.O.1
Risebro, N.H.2
Tveito, A.3
-
14
-
-
0022388409
-
Large time step shock-capturing techniques for scalar conservation laws
-
R. J. LeVeque, Large time step shock-capturing techniques for scalar conservation laws, SIAM J. Numer. Anal., 22 (1985), pp. 1051-1073.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 1051-1073
-
-
Leveque, R.J.1
-
17
-
-
0000308880
-
Wave propagation algorithms for multidimensional hyperbolic systems
-
R. J. LeVeque, Wave propagation algorithms for multidimensional hyperbolic systems, J. Comput. Phys. 131 (1997), pp. 327-353.
-
(1997)
J. Comput. Phys.
, vol.131
, pp. 327-353
-
-
LeVeque, R.J.1
-
18
-
-
0000087732
-
One-dimensional front tracking based on high resolution wave propagation methods
-
R. J. LeVeque and K. M. Shyue, One-dimensional front tracking based on high resolution wave propagation methods, SIAM J. Sci. Comput., 16:2 (1995), pp. 348-377.
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, Issue.2
, pp. 348-377
-
-
LeVeque, R.J.1
Shyue, K.M.2
-
20
-
-
0000937440
-
Dimensional splitting with front tracking and adaptive grid refinement
-
K.-A. Lie, V. Haugse, and K. H. Karlsen, Dimensional splitting with front tracking and adaptive grid refinement, Numer. Methods Partial Differential Equations, 14:5 (1998), pp. 627-648.
-
(1998)
Numer. Methods Partial Differential Equations
, vol.14
, Issue.5
, pp. 627-648
-
-
Lie, K.-A.1
Haugse, V.2
Karlsen, K.H.3
-
21
-
-
0005464911
-
Nonhydrostatic two-layer models of incompressible flow
-
R. Liska, L. Margolin, and B. Wendroff, Nonhydrostatic two-layer models of incompressible flow, Comput. Math. Appl., 29 (1995), pp. 25-37.
-
(1995)
Comput. Math. Appl.
, vol.29
, pp. 25-37
-
-
Liska, R.1
Margolin, L.2
Wendroff, B.3
-
22
-
-
0000088242
-
Composite schemes for conservation laws
-
R. Liska and B. Wendroff, Composite schemes for conservation laws, SIAM J. Numer. Anal., 35 (1998), pp. 2250-2271.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2250-2271
-
-
Liska, R.1
Wendroff, B.2
-
23
-
-
0012220845
-
2D shallow water equations by composite schemes
-
to appear
-
R. Liska and B. Wendroff, 2D shallow water equations by composite schemes, J. Num. Meth. Fluids, to appear.
-
J. Num. Meth. Fluids
-
-
Liska, R.1
Wendroff, B.2
-
24
-
-
0040653659
-
Analysis and computation with stratified fluid models
-
R. Liska and B. Wendroff, Analysis and computation with stratified fluid models, J. Comput. Phys., 137:1 (1997), pp. 212-244.
-
(1997)
J. Comput. Phys.
, vol.137
, Issue.1
, pp. 212-244
-
-
Liska, R.1
Wendroff, B.2
-
25
-
-
0000710622
-
On the vacuum state for isentropic gas dynamics
-
T.-P. Liu and J. Smoller, On the vacuum state for isentropic gas dynamics, Adv. Pure Appl. Math., 1 (1980), pp. 345-359.
-
(1980)
Adv. Pure Appl. Math.
, vol.1
, pp. 345-359
-
-
Liu, T.-P.1
Smoller, J.2
-
27
-
-
0026186036
-
Mathematical modeling of a snow-powder avalanche in the framework of the equations of two-layer shallow water
-
A. N. Nazarov, Mathematical modeling of a snow-powder avalanche in the framework of the equations of two-layer shallow water, Fluid Dynamics, 26 (1991), pp. 70-75.
-
(1991)
Fluid Dynamics
, vol.26
, pp. 70-75
-
-
Nazarov, A.N.1
-
28
-
-
84966257267
-
A front-tracking alternative to the random choice method
-
N. H. Risebro, A front-tracking alternative to the random choice method, Proc. Amer. Math. Soc, 117:4 (1993), pp. 1125-1129.
-
(1993)
Proc. Amer. Math. Soc
, vol.117
, Issue.4
, pp. 1125-1129
-
-
Risebro, N.H.1
-
29
-
-
0001502445
-
Front tracking applied to a nonstrictly hyperbolic system of conservation laws
-
N. H. Risebro and A. Tveito, Front tracking applied to a nonstrictly hyperbolic system of conservation laws, SIAM J. Sci. Stat. Comput., 12:6 (1991), pp. 1401-1419.
-
(1991)
SIAM J. Sci. Stat. Comput.
, vol.12
, Issue.6
, pp. 1401-1419
-
-
Risebro, N.H.1
Tveito, A.2
-
30
-
-
0001027457
-
A front tracking method for conservation laws in one dimension
-
N. H. Risebro and A. Tveito, A front tracking method for conservation laws in one dimension, J. Comput. Phys., 101:1 (1992), pp. 130-139.
-
(1992)
J. Comput. Phys.
, vol.101
, Issue.1
, pp. 130-139
-
-
Risebro, N.H.1
Tveito, A.2
-
31
-
-
38249040792
-
AZTEC: A front tracking code based on Godunov's method
-
B. K. Swartz and B. Wendroff, AZTEC: a front tracking code based on Godunov's method, Appl. Numer. Math., 2:3-5 (1986), pp. 385-397.
-
(1986)
Appl. Numer. Math.
, vol.2
, Issue.3-5
, pp. 385-397
-
-
Swartz, B.K.1
Wendroff, B.2
-
32
-
-
0019382973
-
Some exact solutions to the nonlinear shallow-water wave equations
-
W. C. Thacker, Some exact solutions to the nonlinear shallow-water wave equations, J. Fluid Mech., 107 (1981), pp. 499-508.
-
(1981)
J. Fluid Mech.
, vol.107
, pp. 499-508
-
-
Thacker, W.C.1
-
33
-
-
0002203252
-
Riemann problems and the WAF method for solving the two-dimensional shallow water equations
-
E. F. Toro, Riemann problems and the WAF method for solving the two-dimensional shallow water equations, Philos. Trans. Roy. Soc. London Ser. A., 338 (1992), pp. 43-68.
-
(1992)
Philos. Trans. Roy. Soc. London Ser. A.
, vol.338
, pp. 43-68
-
-
Toro, E.F.1
-
35
-
-
0031512558
-
A unified Riemann-problem-based extension of the Warming-Beam and Lax-Wendroff schemes
-
E. F. Toro and S. J. Billett, A unified Riemann-problem-based extension of the Warming-Beam and Lax-Wendroff schemes, IMA J. Numer. Anal., 17 (1997), pp. 61-102.
-
(1997)
IMA J. Numer. Anal.
, vol.17
, pp. 61-102
-
-
Toro, E.F.1
Billett, S.J.2
-
36
-
-
0018314831
-
Two-layer shallow-water flow in two dimensions, a numerical study
-
C. B. Vreugdenhil, Two-layer shallow-water flow in two dimensions, a numerical study, J. Comput. Phys., 33 (1979), pp. 169-184.
-
(1979)
J. Comput. Phys.
, vol.33
, pp. 169-184
-
-
Vreugdenhil, C.B.1
-
37
-
-
0004419270
-
An analysis of front tracking for chromatography
-
B. Wendroff, An analysis of front tracking for chromatography, Acta Appl. Math., 30 (1993), pp. 265-285.
-
(1993)
Acta Appl. Math.
, vol.30
, pp. 265-285
-
-
Wendroff, B.1
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