-
1
-
-
0001522672
-
Definition and weak stability of nonconservative products
-
G. DALMASO, P.G. LE FLOOH, AND F. MURAT, Definition and weak stability of nonconservative products, J. Math. Pures Appl. 9, 74 (1995), pp. 483-548.
-
(1995)
J. Math. Pures Appl
, vol.9
, Issue.74
, pp. 483-548
-
-
DALMASO, G.1
LE FLOOH, P.G.2
MURAT, F.3
-
2
-
-
21344434180
-
Graph solutions of nonlinear hyperbolic systems
-
P.G. LE FLOCH, Graph solutions of nonlinear hyperbolic systems, J. Hyperbolic Differ. Equ., 2 (2004), pp. 643-689.
-
(2004)
J. Hyperbolic Differ. Equ
, vol.2
, pp. 643-689
-
-
LE FLOCH, P.G.1
-
4
-
-
0001124468
-
weak formulation of Roe's approximate Riemann solver
-
I. TOUMI weak formulation of Roe's approximate Riemann solver, J. Comput. Phys., 102 (1992), pp. 360-373.
-
(1992)
J. Comput. Phys
, vol.102
, pp. 360-373
-
-
TOUMI, I.1
-
5
-
-
0035631410
-
A Q-scheme for a class of systems of coupled conservation laws with source terms. Application to a two-layer 1-d shallow water system
-
M.J. CASTRO, J. MACIAS, AND C. PARES, A Q-scheme for a class of systems of coupled conservation laws with source terms. Application to a two-layer 1-d shallow water system, M2AN Math. Model. Numer. Anal., 35 (2001), pp. 107-127.
-
(2001)
M2AN Math. Model. Numer. Anal
, vol.35
, pp. 107-127
-
-
CASTRO, M.J.1
MACIAS, J.2
PARES, C.3
-
6
-
-
10044294949
-
On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems
-
C. PARES AND M. CASTRO, On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems, M2AN Math. Model. Numer. Anal., 38 (2004), pp. 821-852.
-
(2004)
M2AN Math. Model. Numer. Anal
, vol.38
, pp. 821-852
-
-
PARES, C.1
CASTRO, M.2
-
7
-
-
12144289195
-
Numerical simulation of two-layer shallow water flows through channels with irregular geometry
-
M.J. CASTRO, J.A. GARCIA-RODRIGUEZ, J.M. GONZALEZ-VIDA, J. MACIAS, C. PARES, AND M.E. VAZQUEZ-CENDON, Numerical simulation of two-layer shallow water flows through channels with irregular geometry, J. Comput. Phys., 195 (2004), pp. 202-235.
-
(2004)
J. Comput. Phys
, vol.195
, pp. 202-235
-
-
CASTRO, M.J.1
GARCIA-RODRIGUEZ, J.A.2
GONZALEZ-VIDA, J.M.3
MACIAS, J.4
PARES, C.5
VAZQUEZ-CENDON, M.E.6
-
8
-
-
37249012023
-
On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems
-
M.J. CASTRO DÍAZ, T. CHACÓN REBOLLO, E.D. FERNÁNDEZ-NIETO, AND C. PARÉS, On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems, SIAM J. Sci. Comput., 29 (2007), pp. 1093-1126.
-
(2007)
SIAM J. Sci. Comput
, vol.29
, pp. 1093-1126
-
-
CASTRO DÍAZ, M.J.1
CHACÓN REBOLLO, T.2
FERNÁNDEZ-NIETO, E.D.3
PARÉS, C.4
-
10
-
-
35348893425
-
Finite-volume solvers for a multilayer Saint-Venant system
-
E. AUDUSSE AND M.O. BRISTEAU, Finite-volume solvers for a multilayer Saint-Venant system, Int. J. Appl. Math. Comput. Sci., 17 (2007), pp. 311-320.
-
(2007)
Int. J. Appl. Math. Comput. Sci
, vol.17
, pp. 311-320
-
-
AUDUSSE, E.1
BRISTEAU, M.O.2
-
11
-
-
33847668045
-
Numerical methods for nonconservative hyperbolic systems: A theoretical framework
-
C. PARÉS, Numerical methods for nonconservative hyperbolic systems: A theoretical framework, SIAM J. Numer. Anal., 44 (2006), pp. 300-321.
-
(2006)
SIAM J. Numer. Anal
, vol.44
, pp. 300-321
-
-
PARÉS, C.1
-
12
-
-
15744375324
-
-
Birkhäuser, Basel, Switzerland, Berlin
-
F. BOUCHUT, Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-balanced Schemes for Sources, Birkhäuser, Basel, Switzerland, Berlin, 2004.
-
(2004)
Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-balanced Schemes for Sources
-
-
BOUCHUT, F.1
-
14
-
-
0002795520
-
Long waves in a two-fluid system
-
R.R. LONG, Long waves in a two-fluid system, J. Met., 13 (1956), pp. 70-74.
-
(1956)
J. Met
, vol.13
, pp. 70-74
-
-
LONG, R.R.1
-
16
-
-
0022663802
-
The hydraulics of two flowing layers 'with different densities
-
L. ARMI, The hydraulics of two flowing layers 'with different densities, J. Fluid Mech., 163 (1986), pp. 27-60.
-
(1986)
J. Fluid Mech
, vol.163
, pp. 27-60
-
-
ARMI, L.1
-
17
-
-
0022678153
-
Maximal two-layer exchange through a contraction with barotropic net flow
-
L. ARMI AND D.M. FARMER, Maximal two-layer exchange through a contraction with barotropic net flow, J. Fluid Mech., 186 (1986), pp. 27-51.
-
(1986)
J. Fluid Mech
, vol.186
, pp. 27-51
-
-
ARMI, L.1
FARMER, D.M.2
-
18
-
-
0022680530
-
Maximal two-layer exchange over a sill and through the combination of sill and a contraction with barotropic flow
-
D.M. FARMER AND L. ARMI, Maximal two-layer exchange over a sill and through the combination of sill and a contraction with barotropic flow, J. Fluid Mech., 164 (1986), pp. 53-76.
-
(1986)
J. Fluid Mech
, vol.164
, pp. 53-76
-
-
FARMER, D.M.1
ARMI, L.2
-
19
-
-
10244260320
-
A five equation reduced model for compressible two phase flow problems
-
A. MURRONE AND H. GUILLARD, A five equation reduced model for compressible two phase flow problems, J. Comput. Phys., 202 (2005), pp. 664-698.
-
(2005)
J. Comput. Phys
, vol.202
, pp. 664-698
-
-
MURRONE, A.1
GUILLARD, H.2
-
21
-
-
84990689276
-
Hyperbolic conservation laws with stiff relaxation terms and entropy
-
G.-Q. CHEN, D. LEVERMORE, AND T.-P. LIU, Hyperbolic conservation laws with stiff relaxation terms and entropy, Comm. Pure Appl. Math., 47 (1994), pp. 787-830.
-
(1994)
Comm. Pure Appl. Math
, vol.47
, pp. 787-830
-
-
CHEN, G.-Q.1
LEVERMORE, D.2
LIU, T.-P.3
-
22
-
-
84990701264
-
The relaxation scheme for systems of conservation laws in arbitrary space dimensions
-
S. JIN AND Z. XIN, The relaxation scheme for systems of conservation laws in arbitrary space dimensions, Comm. Pure Appl. Math., 48 (1995), pp. 235-276.
-
(1995)
Comm. Pure Appl. Math
, vol.48
, pp. 235-276
-
-
JIN, S.1
XIN, Z.2
-
23
-
-
0003141624
-
-
Analysis of Systems of Conservation Laws Aachen, Chapman & Hall/CRC Monogr. Surv. Pure Appl. Math. 99, Chapman & Hall/CRC, Boca Raton, FL
-
R. NATALINI, Recent results on hyperbolic relaxation problems, in Analysis of Systems of Conservation Laws (Aachen, 1997), Chapman & Hall/CRC Monogr. Surv. Pure Appl. Math. 99, Chapman & Hall/CRC, Boca Raton, FL, 1999, pp. 128-198.
-
(1997)
Recent results on hyperbolic relaxation problems
, pp. 128-198
-
-
NATALINI, R.1
-
24
-
-
2942757053
-
Approximate Riemann solvers, parameter vectors and difference schemes
-
P.L. ROE, Approximate Riemann solvers, parameter vectors and difference schemes, J. Comput. Phys., 43 (1981), pp. 357-372.
-
(1981)
J. Comput. Phys
, vol.43
, pp. 357-372
-
-
ROE, P.L.1
-
25
-
-
0003092662
-
Upwind differencing schemes for hyperbolic conservation laws with source terms
-
Notes in Math. 1270
-
P.L. ROE, Upwind differencing schemes for hyperbolic conservation laws with source terms, in Nonlinear Hyperbolic Problems, Springer-Verlag, Berlin, Heidelberg, in Lect. Notes in Math. 1270, 1987, pp. 41-51.
-
(1987)
Nonlinear Hyperbolic Problems, Springer-Verlag, Berlin, Heidelberg, in Lect
, pp. 41-51
-
-
ROE, P.L.1
|