-
2
-
-
4644342716
-
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows
-
E. Audusse, F. Bouchut, M-O. Bristeau, R. Klein and B. Perthame, A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows, SIAM J. Sci. Comput., 25, 2050-2065, 2004.
-
(2004)
SIAM J. Sci. Comput
, vol.25
, pp. 2050-2065
-
-
Audusse, E.1
Bouchut, F.2
Bristeau, M.-O.3
Klein, R.4
Perthame, B.5
-
3
-
-
15744375324
-
Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-balanced Schemes for Sources
-
Birkhäuser Verlag, Basel
-
F. Bouchut, Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-balanced Schemes for Sources, Frontiers in Math Series, Birkhäuser Verlag, Basel, 2004.
-
(2004)
Frontiers in Math Series
-
-
Bouchut, F.1
-
4
-
-
0037404907
-
Some approximate Godunov schemes to compute shallow-water equations with topography
-
T. Gallouëk, J.-M. Hérard and N. Seguin, Some approximate Godunov schemes to compute shallow-water equations with topography, Comput. & Fluids, 32, 479-513, 2003.
-
(2003)
Comput. & Fluids
, vol.32
, pp. 479-513
-
-
Gallouëk, T.1
Hérard, J.-M.2
Seguin, N.3
-
5
-
-
0009933535
-
Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
-
J.-F. Gerbeau and B. Perthame, Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation, Discrete Contin. Dyn. Syst. Ser. B, 1, 89-102, 2001.
-
(2001)
Discrete Contin. Dyn. Syst. Ser. B
, vol.1
, pp. 89-102
-
-
Gerbeau, J.-F.1
Perthame, B.2
-
7
-
-
0035273564
-
High order time discretization methods with the strong stability property
-
S. Gottlieb, C.-W. Shu and E. Tadmor, High order time discretization methods with the strong stability property, SIAM Review, 43, 89-112, 2001.
-
(2001)
SIAM Review
, vol.43
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.-W.2
Tadmor, E.3
-
8
-
-
0035537697
-
A steady-state capturing method for hyperbolic system with geometrical source terms
-
S. Jin, A steady-state capturing method for hyperbolic system with geometrical source terms, M2AN Math. Model. Numer. Anal., 35, 631-645, 2001.
-
(2001)
M2AN Math. Model. Numer. Anal
, vol.35
, pp. 631-645
-
-
Jin, S.1
-
9
-
-
0030188150
-
The effects of numerical viscosities. I. Slowly moving shocks
-
S. Jin and J.-G. Liu, The effects of numerical viscosities. I. Slowly moving shocks, J. Comput. Phys., 126, 373-389, 1996.
-
(1996)
J. Comput. Phys
, vol.126
, pp. 373-389
-
-
Jin, S.1
Liu, J.-G.2
-
10
-
-
27844586617
-
Two interface-type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations
-
S. Jin and X. Wen, Two interface-type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations, SIAM J. Sci. Comput., 26, 2079-2101, 2005.
-
(2005)
SIAM J. Sci. Comput
, vol.26
, pp. 2079-2101
-
-
Jin, S.1
Wen, X.2
-
12
-
-
0036333838
-
Central-upwind schemes for the Saint-Venant system
-
A. Kurganov and D. Levy, Central-upwind schemes for the Saint-Venant system, M2AN Math. Model. Numer. Anal., 36, 397-425, 2002.
-
(2002)
M2AN Math. Model. Numer. Anal
, vol.36
, pp. 397-425
-
-
Kurganov, A.1
Levy, D.2
-
13
-
-
0036288577
-
Semi-discrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations
-
A. Kurganov, S. Noelle and G. Petrova, Semi-discrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations, SIAM J. Sci. Comput., 23, 707-740, 2001.
-
(2001)
SIAM J. Sci. Comput
, vol.23
, pp. 707-740
-
-
Kurganov, A.1
Noelle, S.2
Petrova, G.3
-
14
-
-
0347987814
-
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
-
A. Kurganov and E. Tadmor, New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations, J. Comput. Phys., 160, 214-282, 2000.
-
(2000)
J. Comput. Phys
, vol.160
, pp. 214-282
-
-
Kurganov, A.1
Tadmor, E.2
-
15
-
-
2442433925
-
Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method
-
B. van Leer, Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method, J. Comput. Phys., 32, 101-136, 1979.
-
(1979)
J. Comput. Phys
, vol.32
, pp. 101-136
-
-
van Leer, B.1
-
16
-
-
0001315315
-
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
-
R. J. LeVeque, Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm, J. Comput. Phys., 146, 346-365, 1998.
-
(1998)
J. Comput. Phys
, vol.146
, pp. 346-365
-
-
LeVeque, R.J.1
-
18
-
-
0041428206
-
On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws
-
K.-A. Lie and S. Noelle, On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws, SIAM J. Sci. Comput., 24, 1157-1174, 2003.
-
(2003)
SIAM J. Sci. Comput
, vol.24
, pp. 1157-1174
-
-
Lie, K.-A.1
Noelle, S.2
-
19
-
-
28144455569
-
Non-oscillatory central differencing for hyperbolic conservation laws
-
H. Nessyahu and E. Tadmor, Non-oscillatory central differencing for hyperbolic conservation laws, J. Comput. Phys., 87, 408-463, 1990.
-
(1990)
J. Comput. Phys
, vol.87
, pp. 408-463
-
-
Nessyahu, H.1
Tadmor, E.2
-
20
-
-
32644433341
-
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
-
S. Noelle, N. Pankratz, G. Puppo and J. Natvig, Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows, J. Comput. Phys., 213, 474-499, 2006.
-
(2006)
J. Comput. Phys
, vol.213
, pp. 474-499
-
-
Noelle, S.1
Pankratz, N.2
Puppo, G.3
Natvig, J.4
-
21
-
-
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, 201-231, 2001.
-
(2001)
Calcolo
, vol.38
, pp. 201-231
-
-
Perthame, B.1
Simeoni, C.2
-
22
-
-
85039239100
-
-
G. Russo, Central schemes for balance laws, Hyperbolic problems: theory, numerics, applications, Magdeburg, I, II, 821-829, 2000. Internat. Ser. Numer. Math., 140, 141, Birkhäuser, Basel, 2001.
-
G. Russo, Central schemes for balance laws, Hyperbolic problems: theory, numerics, applications, Magdeburg, I, II, 821-829, 2000. Internat. Ser. Numer. Math., 140, 141, Birkhäuser, Basel, 2001.
-
-
-
-
23
-
-
34548459170
-
-
S. Rionero and G. Romano eds, Springer-Verlag Italia SRL
-
G. Russo, Central schemes for conservation laws with application to shallow water equations, Trends and applications of mathematics to mechanics: STAMM 2002, S. Rionero and G. Romano (eds.), Springer-Verlag Italia SRL, 225-246, 2005.
-
(2005)
Central schemes for conservation laws with application to shallow water equations, Trends and applications of mathematics to mechanics: STAMM 2002
, pp. 225-246
-
-
Russo, G.1
-
24
-
-
85039228644
-
-
A. J. C. de Saint-Venant, Théorie du mouvement non-permanent des eaux, avec application aux crues des rivière at à l'introduction des warées dans leur lit, C. R. Acad. Sci. Paris, 73, 147-154, 1871.
-
A. J. C. de Saint-Venant, Théorie du mouvement non-permanent des eaux, avec application aux crues des rivière at à l'introduction des warées dans leur lit, C. R. Acad. Sci. Paris, 73, 147-154, 1871.
-
-
-
-
25
-
-
0021513424
-
High resolution schemes using flux limiters for hyperbolic conservation laws
-
P. K. Sweby, High resolution schemes using flux limiters for hyperbolic conservation laws, SIAM J. Numer. Anal., 21, 995-1011, 1984.
-
(1984)
SIAM J. Numer. Anal
, vol.21
, pp. 995-1011
-
-
Sweby, P.K.1
-
26
-
-
0036647452
-
ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
-
S. Vukovic and L. Sopta, ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations, J. Comput. Phys., 179, 593-621, 2002.
-
(2002)
J. Comput. Phys
, vol.179
, pp. 593-621
-
-
Vukovic, S.1
Sopta, L.2
-
27
-
-
19044370217
-
High order finite difference WENO schemes with the exact conservation property for the shallow water equations
-
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, 206-227, 2005.
-
(2005)
J. Comput. Phys
, vol.208
, pp. 206-227
-
-
Xing, Y.1
Shu, C.-W.2
-
28
-
-
33749149018
-
A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
-
Y. Xing and C.-W. Shu, A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms, Commun. Comput. Phys., 1, 100-134, 2006.
-
(2006)
Commun. Comput. Phys
, vol.1
, pp. 100-134
-
-
Xing, Y.1
Shu, C.-W.2
|