-
1
-
-
0012588539
-
A kinetic scheme for the Saint-Venant system with a source term
-
B. Perthame and C. Simeoni, A kinetic scheme for the Saint-Venant system with a source term, Calcolo 38 (4), 201-231, (2001).
-
(2001)
Calcolo
, vol.38
, Issue.4
, pp. 201-231
-
-
Perthame, B.1
Simeoni, C.2
-
2
-
-
11244265823
-
Second order approximation of the viscous Saint-Venant system and comparison with experiments
-
(Edited by T. Hou and E. Tadmor), Springer
-
Th. Katsaounis and C. Simeoni, Second order approximation of the viscous Saint-Venant system and comparison with experiments, In Hyperbolic Problems: Theory, Numerics, Applications, (HYP2002), (Edited by T. Hou and E. Tadmor), Springer, (2003).
-
(2003)
Hyperbolic Problems: Theory, Numerics, Applications, (HYP2002)
-
-
Katsaounis, Th.1
Simeoni, C.2
-
3
-
-
22044436683
-
Kružkov's estimates for scalar conservation laws revisited
-
F. Bouchut and B. Perthame, Kružkov's estimates for scalar conservation laws revisited, Trans. Amer. Math. Soc. 350 (7), 2847-2870, (1998).
-
(1998)
Trans. Amer. Math. Soc.
, vol.350
, Issue.7
, pp. 2847-2870
-
-
Bouchut, F.1
Perthame, B.2
-
4
-
-
85030888343
-
-
(Edited by P.G. Ciarlet and J.L. Lions), North-Holland, Amsterdam
-
R. Eymard, T. Gallouët and R. Herbin, Finite Volume Methods, Handbook of Numerical Analysis, Volume VIII, (Edited by P.G. Ciarlet and J.L. Lions), North-Holland, Amsterdam, (2000).
-
(2000)
Finite Volume Methods, Handbook of Numerical Analysis
, vol.8
-
-
Eymard, R.1
Gallouët, T.2
Herbin, R.3
-
5
-
-
85030884797
-
-
Ellipses, Paris
-
E. Godlewski and P.A. Raviart, Hyperbolic Systems of Conservation Laws, Mathématiques & Applications, Volume 3/4, Ellipses, Paris, (1991).
-
(1991)
Hyperbolic Systems of Conservation Laws, Mathématiques & Applications
, vol.3-4
-
-
Godlewski, E.1
Raviart, P.A.2
-
6
-
-
0021413939
-
Riemann solvers, the entropy condition, and difference approximations
-
S. Osher, Riemann solvers, the entropy condition, and difference approximations, SIAM J. Numer. Anal. 21 (2), 217-235, (1984).
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, Issue.2
, pp. 217-235
-
-
Osher, S.1
-
7
-
-
84956238079
-
First order quasilinear equations in several independent space variables
-
S.N. Kružkov, First order quasilinear equations in several independent space variables, Math. USSR Sb. 10, 217-243, (1970).
-
(1970)
Math. USSR Sb.
, vol.10
, pp. 217-243
-
-
Kružkov, S.N.1
-
8
-
-
0003092662
-
Upwind differencing schemes for hyperbolic conservation laws with source terms
-
(Edited by C. Carasso, P.A. Raviart and D. Serre); Springer-Verlag, Berlin
-
P.L. Roe, Upwind differencing schemes for hyperbolic conservation laws with source terms, In Nonlinear Hyperbolic Problems, Lecture Notes in Math., Volume 1270, (Edited by C. Carasso, P.A. Raviart and D. Serre), pp. 41-51, Springer-Verlag, Berlin, (1987).
-
(1987)
Nonlinear Hyperbolic Problems, Lecture Notes in Math.
, vol.1270
, pp. 41-51
-
-
Roe, P.L.1
-
9
-
-
0002915665
-
The generalized Riemann problem for reactive flows
-
M. BenArtzi, The generalized Riemann problem for reactive flows, J. Comp. Phys. 81, 70-101, (1989).
-
(1989)
J. Comp. Phys.
, vol.81
, pp. 70-101
-
-
BenArtzi, M.1
-
10
-
-
0031520155
-
A Roe-type Riemann solver for hyperbolic systems with relaxation based on time-dependent wave decomposition
-
F. Bereux and L. Sainsaulieu, A Roe-type Riemann solver for hyperbolic systems with relaxation based on time-dependent wave decomposition, Numer. Math. 77 (2), 143-185, (1997).
-
(1997)
Numer. Math.
, vol.77
, Issue.2
, pp. 143-185
-
-
Bereux, F.1
Sainsaulieu, L.2
-
11
-
-
0002334666
-
Un schéma équilibre adapté au modèle d'atmosphère avec termes de gravité
-
P. Cargo and A.Y. LeRoux, Un schéma équilibre adapté au modèle d'atmosphère avec termes de gravité, C.R. Acad. Sci. Paris Sér. I. Math. 318 (1), 73-76, (1994).
-
(1994)
C.R. Acad. Sci. Paris Sér. I. Math.
, vol.318
, Issue.1
, pp. 73-76
-
-
Cargo, P.1
LeRoux, A.Y.2
-
12
-
-
0032164775
-
A priori error estimate for a well-balanced scheme designed for inhomogeneous scalar conservation laws
-
L. Gosse, A priori error estimate for a well-balanced scheme designed for inhomogeneous scalar conservation laws, C.R. Acad. Sci. Paris Sér. I. Math. 327 (5), 467-472, (1998).
-
(1998)
C.R. Acad. Sci. Paris Sér. I. Math.
, vol.327
, Issue.5
, pp. 467-472
-
-
Gosse, L.1
-
13
-
-
1542576141
-
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations
-
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, 1-16, (1996).
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1-16
-
-
Greenberg, J.M.1
LeRoux, A.Y.2
-
14
-
-
26544437788
-
Some approximate Godunov schemes to compute shallow-water equations with topography
-
T. Gallouët, J.M. Hérard and N. Seguin, Some approximate Godunov schemes to compute shallow-water equations with topography, AIAA-2001, (2000).
-
(2000)
AIAA-2001
-
-
Gallouët, T.1
Hérard, J.M.2
Seguin, N.3
-
15
-
-
0001315315
-
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
-
R.J. LeVěque, Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm, J. Comput. Phys. 146 (1), 346-365, (1998).
-
(1998)
J. Comput. Phys.
, vol.146
, Issue.1
, pp. 346-365
-
-
LeVěque, R.J.1
-
16
-
-
0037234915
-
Equilibrium schemes for scalar conservation laws with stiff sources
-
R. Botchorishvili, B. Perthame and A. Vasseur, Equilibrium schemes for scalar conservation laws with stiff sources, Math. Comp. 72 (241), 191-157, (2003).
-
(2003)
Math. Comp.
, vol.72
, Issue.241
, pp. 191-157
-
-
Botchorishvili, R.1
Perthame, B.2
Vasseur, A.3
-
17
-
-
0035537697
-
A steady-state capturing method for hyperbolic systems with geometrical source terms
-
S. Jin, A steady-state capturing method for hyperbolic systems with geometrical source terms, M2AN Math. Model. Numer. Anal. 35 (4), 631-645, (2001).
-
(2001)
M2AN Math. Model. Numer. Anal.
, vol.35
, Issue.4
, pp. 631-645
-
-
Jin, S.1
-
18
-
-
0036333838
-
Central-upwind schemes for the Saint-Venant system
-
A. Kurganov and L. Doron, Central-upwind schemes for the Saint-Venant system, M2AN Math. Model. Numer. Anal. 36 (3), 397-425 (2002).
-
(2002)
M2AN Math. Model. Numer. Anal.
, vol.36
, Issue.3
, pp. 397-425
-
-
Kurganov, A.1
Doron, L.2
-
19
-
-
1642330055
-
Well balanced finite volume methods for nearly hydrostatic flows
-
(preprint)
-
N. Botta, R. Klein, S. Langenberg and S. Lützenkirchen, Well balanced finite volume methods for nearly hydrostatic flows (preprint) (2002).
-
(2002)
-
-
Botta, N.1
Klein, R.2
Langenberg, S.3
Lützenkirchen, S.4
-
20
-
-
85114329546
-
Numerical approximation of hyperbolic systems of conservation laws
-
Springer-Verlag
-
E. Godlewski and P.A. Raviart, Numerical approximation of hyperbolic systems of conservation laws, In Applied Mathematical Sciences, Volume 118, Springer-Verlag, (1996).
-
(1996)
Applied Mathematical Sciences
, vol.118
-
-
Godlewski, E.1
Raviart, P.A.2
-
22
-
-
11244301807
-
Convergence of the upwind interface source method for hyperbolic conservation laws
-
(Edited by T. Hou and E. Tadmor), Springer
-
B. Perthame and C. Simeoni, Convergence of the upwind interface source method for hyperbolic conservation laws, In Hyperbolic Problems: Theory, Numerics, Applications, (HYP2002), (Edited by T. Hou and E. Tadmor), Springer, (2003).
-
(2003)
Hyperbolic Problems: Theory, Numerics, Applications, (HYP2002)
-
-
Perthame, B.1
Simeoni, C.2
-
23
-
-
84966203226
-
On convergence of monotone finite difference schemes with variable spatial differencing
-
R. Sanders, On convergence of monotone finite difference schemes with variable spatial differencing, Math. Comp. 40, 499-518, (1983).
-
(1983)
Math. Comp.
, vol.40
, pp. 499-518
-
-
Sanders, R.1
-
25
-
-
0000711631
-
A well-balanced scheme designed for inhomogeneous scalar conservation laws
-
L. Gosse and A.Y. LeRoux, A well-balanced scheme designed for inhomogeneous scalar conservation laws, C.R. Acad. Sci. Paris Sér. I. Math. 323 (5), 543-546, (1996).
-
(1996)
C.R. Acad. Sci. Paris Sér. I. Math.
, vol.323
, Issue.5
, pp. 543-546
-
-
Gosse, L.1
LeRoux, A.Y.2
-
27
-
-
0023329384
-
Uniformly high-order accurate nonoscillatory schemes I
-
A. Harten and S. Osher, Uniformly high-order accurate nonoscillatory schemes I, SIAM J. Numer. Anal. 24 (2), 279-309, (1987).
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, Issue.2
, pp. 279-309
-
-
Harten, A.1
Osher, S.2
-
28
-
-
0000446212
-
High order ENO and WENO schemes for computational fluid dynamics. High-order methods for computational physics
-
Springer, Berlin
-
C.W. Shu, High order ENO and WENO schemes for computational fluid dynamics. High-order methods for computational physics, In Lect. Notes Comput. Sci. Eng., Volume 9, pp. 439-582, Springer, Berlin, (1999).
-
(1999)
Lect. Notes Comput. Sci. Eng.
, vol.9
, pp. 439-582
-
-
Shu, C.W.1
-
29
-
-
1642291013
-
First and second order error estimates for the upwind interface source method
-
(Edited by T. Hou and E. Tadmor), Springer
-
Th. Katsaounis and C. Simeoni, First and second order error estimates for the upwind interface source method, In Hyperbolic Problems: Theory, Numerics, Applications, (HYP2002), (Edited by T. Hou and E. Tadmor), Springer, (2003).
-
(2003)
Hyperbolic Problems: Theory, Numerics, Applications, (HYP2002)
-
-
Katsaounis, Th.1
Simeoni, C.2
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