-
2
-
-
0028534347
-
Upwind methods for hyperbolic conservation laws with source terms
-
MR1314237 (95i:76065)
-
A. Bermúdez and M.E. Vázquez, Upwind methods for hyperbolic conservation laws with source terms. Comp. & Fluids 23 (1994), 1049-1971. MR1314237 (95i:76065)
-
(1994)
Comp. & Fluids
, vol.23
, pp. 1049-1971
-
-
Bermúdez, A.1
Vázquez, M.E.2
-
5
-
-
0035631410
-
A Q-Scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
-
MR1811983 (2001m:76063)
-
M. J. Castro, J. Macías and C. Parés, A Q-Scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system. ESAIM: M2AN 35(1) (2001), 107-127. MR1811983 (2001m:76063)
-
(2001)
ESAIM: M2AN
, vol.35
, Issue.1
, pp. 107-127
-
-
Castro, M.J.1
Macías, J.2
Parés, C.3
-
6
-
-
0037414916
-
A family of stable numerical solvers for shallow water equations with source terms
-
MR1951407 (2003m:76116)
-
T. Chacón, A. Domínguez and E.D. Fernández, A family of stable numerical solvers for shallow water equations with source terms. Comp. Meth. Appl. Mech. Eng. 192 (2003), 203-225. MR1951407 (2003m:76116)
-
(2003)
Comp. Meth. Appl. Mech. Eng.
, vol.192
, pp. 203-225
-
-
Chacón, T.1
Domínguez, A.2
Fernández, E.D.3
-
7
-
-
0344585493
-
An entropy correction free solver for non-homegeneous shallow water equations
-
MR2020863 (2004m:76021)
-
T. Chacón, A. Domínguez and E.D. Fernández, An entropy correction free solver for non-homegeneous shallow water equations. Math. Mod. Num. Anal. 37(3) (2003), 755-772. MR2020863 (2004m:76021)
-
(2003)
Math. Mod. Num. Anal.
, vol.37
, Issue.3
, pp. 755-772
-
-
Chacón, T.1
Domínguez, A.2
Fernández, E.D.3
-
10
-
-
20444441693
-
A well-balanced numerical scheme for the approximation of the shallow-water equations with topography: The resonance phenomenon
-
To appear
-
A. Chinnaya and A.Y. LeRoux, A well-balanced numerical scheme for the approximation of the shallow-water equations with topography: the resonance phenomenon. To appear in Int. J. Finite Volume, 2004.
-
(2004)
Int. J. Finite Volume
-
-
Chinnaya, A.1
LeRoux, A.Y.2
-
11
-
-
0001522672
-
Definition and weak stability of nonconservative products
-
G. Dal Maso, Ph. LeFloch and F. Murat, Definition and weak stability of nonconservative products. J. Math. Pures Appl. 74 (1995), 483-548.
-
(1995)
J. Math. Pures Appl.
, vol.74
, pp. 483-548
-
-
Dal Maso, G.1
LeFloch, Ph.2
Murat, F.3
-
14
-
-
0033838423
-
On numerical treatment of the source terms in the shallow water equations
-
P. García-Navarro and M.E. Vázquez-Cendón, On numerical treatment of the source terms in the shallow water equations. Comp. & Fluids 29(8) (2000), 17-45.
-
(2000)
Comp. & Fluids
, vol.29
, Issue.8
, pp. 17-45
-
-
García-Navarro, P.1
Vázquez-Cendón, M.E.2
-
17
-
-
0034209981
-
A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
-
MR1753567 (2002a:65130)
-
L. Gosse, A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms. Comput. Math. Appl. 39 (2000), 135-159. MR1753567 (2002a:65130)
-
(2000)
Comput. Math. Appl.
, vol.39
, pp. 135-159
-
-
Gosse, L.1
-
18
-
-
0035590547
-
A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms
-
MR1820677 (2002g:65097)
-
L. Gosse, A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Math. Models Methods Appl. Sci. 11 (2001), 339-365. MR1820677 (2002g:65097)
-
(2001)
Math. Models Methods Appl. Sci.
, vol.11
, pp. 339-365
-
-
Gosse, L.1
-
19
-
-
0032345207
-
Total variation diminishing Runge-Kutta schemes
-
MR1443118 (98c:65122)
-
S. Gottlieb and C.-W. Shu, Total variation diminishing Runge-Kutta schemes. Math. Comp. 67 (1998), 73-85. MR1443118 (98c:65122)
-
(1998)
Math. Comp.
, vol.67
, pp. 73-85
-
-
Gottlieb, S.1
Shu, C.-W.2
-
20
-
-
79955716290
-
Proceedings of the second workshop on dam-break wave simulation
-
Electrité de France, Département Laboratoire National d'Hydraulique, Groupe Hydraulique Fluviale
-
N. Goutal and F. Maurel, Proceedings of the Second Workshop on Dam-Break Wave Simulation, Technical Report HE-43/97/016/A, Electrité de France, Département Laboratoire National d'Hydraulique, Groupe Hydraulique Fluviale, 1997.
-
(1997)
Technical Report
, vol.HE-43-97-016-A
-
-
Goutal, N.1
Maurel, F.2
-
21
-
-
1542576141
-
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations
-
MR1377240 (97c:65144)
-
J.M. Greenberg and A.Y. LeRoux, A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. SIAM J. Numer. Anal. 33 (1996), 1-16. MR1377240 (97c:65144)
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1-16
-
-
Greenberg, J.M.1
LeRoux, A.Y.2
-
22
-
-
0001087875
-
Analysis and approximation of conservation laws with source terms
-
MR1472206 (98k:65049)
-
J.M. Greenberg, A.Y. LeRoux, R. Baraille and A. Noussar, Analysis and approximation of conservation laws with source terms. SIAM J. Numer. Anal. 34 (1997), 1980-2007. MR1472206 (98k:65049)
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 1980-2007
-
-
Greenberg, J.M.1
LeRoux, A.Y.2
Baraille, R.3
Noussar, A.4
-
23
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
MR1391627 (97e:65081)
-
G. Jiang and C.-W. Shu, Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126 (1996), 202-228. MR1391627 (97e:65081)
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-228
-
-
Jiang, G.1
Shu, C.-W.2
-
24
-
-
48749145227
-
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
-
MR0707200 (85g:65111)
-
A. Harten and J.M. Hyman, Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. J. Comput. Phys. 50 (1983), 235-269. MR0707200 (85g:65111)
-
(1983)
J. Comput. Phys.
, vol.50
, pp. 235-269
-
-
Harten, A.1
Hyman, J.M.2
-
26
-
-
0001315315
-
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
-
MR1650496 (99j:65182)
-
R.J. LeVeque, Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm. J. Comput. Phys. 146 (1998), 346-365. MR1650496 (99j:65182)
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 346-365
-
-
LeVeque, R.J.1
-
27
-
-
0000592595
-
Weighted essentially nonoscillatory schemes
-
MR1300340
-
X.D. Liu, S. Osher and T. Chan, Weighted essentially nonoscillatory schemes. J. Comput. Phys. 115 (1994), 200-212. MR1300340
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 200-212
-
-
Liu, X.D.1
Osher, S.2
Chan, T.3
-
28
-
-
10044294949
-
On the well-balanced property of Roe's method for nonconservative hyperbolic systems. Applications to shallow water systems
-
MR2104431
-
C. Parés and M. Castro, On the well-balanced property of Roe's method for nonconservative hyperbolic systems. Applications to shallow water systems. ESAIM: M2AN 38(5) (2004), 821-852. MR2104431
-
(2004)
ESAIM: M2AN
, vol.38
, Issue.5
, pp. 821-852
-
-
Parés, C.1
Castro, M.2
-
29
-
-
0012588539
-
A kinetic scheme for the Saint- Venant system with a source term
-
MR1890353 (2002k:76109)
-
B. Perthame and C. Simeoni, A kinetic scheme for the Saint- Venant system with a source term. Calcolo 38(4) (2001), 201-231. MR1890353 (2002k:76109)
-
(2001)
Calcolo
, vol.38
, Issue.4
, pp. 201-231
-
-
Perthame, B.1
Simeoni, C.2
-
30
-
-
0742302514
-
Convergence of the upwind interface source method for hyperbolic conservation laws
-
Hou and Tadmor ed., Springer. MR2053160
-
B. Perthame and C. Simeoni, Convergence of the upwind interface source method for hyperbolic conservation laws, Proc. of Hyp. 2002, Hou and Tadmor ed., Springer, 2003. MR2053160
-
(2003)
Proc. of Hyp. 2002
-
-
Perthame, B.1
Simeoni, C.2
-
31
-
-
2942757053
-
Approximate Riemann solvers, parameter vectors and difference schemes
-
MR0640362 (82k:65055)
-
P.L. Roe, Approximate Riemann solvers, parameter vectors and difference schemes. J. Comput. Phys. 43 (1981), 357-371. MR0640362 (82k:65055)
-
(1981)
J. Comput. Phys.
, vol.43
, pp. 357-371
-
-
Roe, P.L.1
-
32
-
-
0036151484
-
A technique of treating negative weights in WENO schemes
-
J. Shi, C. Hu and C.-W. Shu, A technique of treating negative weights in WENO schemes. J. Comput. Phys. 175 (2002), 108-127.
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 108-127
-
-
Shi, J.1
Hu, C.2
Shu, C.-W.3
-
33
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock capturing schemes
-
MR0954915 (89g:65113)
-
C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 77 (1998), 439-471. MR0954915 (89g:65113)
-
(1998)
J. Comput. Phys.
, vol.77
, pp. 439-471
-
-
Shu, C.-W.1
Osher, S.2
-
34
-
-
0011337223
-
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
-
C.-W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, ICASE Report 97-65, 1997.
-
(1997)
ICASE Report
, vol.97
, Issue.65
-
-
Shu, C.-W.1
-
36
-
-
0001124468
-
A weak formulation of Roe's approximate Riemann solver
-
MR1187694 (93h:65126)
-
I. Toumi, A weak formulation of Roe's approximate Riemann solver. J. Comput. Phys. 102(2) (1992), 360-373. MR1187694 (93h:65126)
-
(1992)
J. Comput. Phys.
, vol.102
, Issue.2
, pp. 360-373
-
-
Toumi, I.1
-
37
-
-
0348194970
-
Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
-
MR1669644 (99i:76102)
-
M.E. Vázquez-Cendón, Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry. J. Comput. Phys. 148 (1999), 497-526. MR1669644 (99i:76102)
-
(1999)
J. Comput. Phys.
, vol.148
, pp. 497-526
-
-
Vázquez-Cendón, M.E.1
-
38
-
-
0036647452
-
ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
-
MR1911377 (2003c:65079)
-
S. Vukovic and L. Sopta, ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations. J. Comput. Phys. 179 (2002), 593-621. MR1911377 (2003c:65079)
-
(2002)
J. Comput. Phys.
, vol.179
, pp. 593-621
-
-
Vukovic, S.1
Sopta, L.2
-
39
-
-
19044370217
-
High order finite difference WENO schemes with the exact conservation property for the shallow water equations
-
MR2144699
-
Y. Xing and C.-W. Shu, High order finite difference WENO schemes with the exact conservation property for the shallow water equations, J. Comput. Phys. 208 (2005), 206-227. MR2144699
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 206-227
-
-
Xing, Y.1
Shu, C.-W.2
|