-
1
-
-
0022678153
-
Maximal two-layer exchange through a contraction with barotropic net flow
-
L. Armi D. Farmer 1986 Maximal two-layer exchange through a contraction with barotropic net flow J. Fluid Mech. 164 27 51
-
(1986)
J. Fluid Mech.
, vol.164
, pp. 27-51
-
-
Armi, L.1
Farmer, D.2
-
2
-
-
0028534347
-
Upwind methods for hyperbolic conservation laws with source terms
-
A. Bermúdez M.E. Vázquez 1994 Upwind methods for hyperbolic conservation laws with source terms Comput. Fluids 23 8 1049 1071
-
(1994)
Comput. Fluids
, vol.23
, Issue.8
, pp. 1049-1071
-
-
Bermúdez, A.1
Vázquez, M.E.2
-
3
-
-
26844580881
-
On the numerical treatment of wet/dry fronts in shallow flows: Application to one-layer and two-layers systems
-
M.J. Castro A. Ferreiro J.A. García J. González-Vida J. Macías C. Parés M.E. Vázquez-Cendón 2005 On the numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layers systems Math. Comput. Model. 42 3-4 419 439
-
(2005)
Math. Comput. Model.
, vol.42
, Issue.34
, pp. 419-439
-
-
Castro, M.J.1
Ferreiro, A.2
García, J.A.3
González-Vida, J.4
MacÍas, J.5
Parés, C.6
Vázquez-Cendón, M.E.7
-
4
-
-
33746371365
-
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow water systems
-
M.J. Castro J.M. Gallardo C. Parés 2006 High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow water systems Math. Comput. 75 1103 1134
-
(2006)
Math. Comput.
, vol.75
, pp. 1103-1134
-
-
Castro, M.J.1
Gallardo, J.M.2
Parés, C.3
-
5
-
-
47049112379
-
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
-
M.J. Castro P.G. LeFloch M.L. Muñoz C. Parés 2008 Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes J. Comput. Phys. 227 17 8107 8129
-
(2008)
J. Comput. Phys.
, vol.227
, Issue.17
, pp. 8107-8129
-
-
Castro, M.J.1
Lefloch, P.G.2
Muñoz, M.L.3
Parés, C.4
-
7
-
-
0001522672
-
Definition and weak stability of nonconservative products
-
G. Dal Maso P.G. LeFloch F. Murat 1995 Definition and weak stability of nonconservative products J. Math. Pures Appl. 74 483 548
-
(1995)
J. Math. Pures Appl.
, vol.74
, pp. 483-548
-
-
Dal Maso, G.1
Lefloch, P.G.2
Murat, F.3
-
8
-
-
85114329546
-
Numerical approximation of hyperbolic systems of conservation laws
-
Springer New York
-
Godlewski, E., Raviart, P.A.: Numerical Approximation of Hyperbolic Systems of Conservation Laws. Applied Mathematical Sciences, vol. 118. Springer, New York (1996)
-
(1996)
Applied Mathematical Sciences
, vol.118
-
-
Godlewski, E.1
Raviart, P.A.2
-
9
-
-
0034209981
-
A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
-
L. Gosse 2000 A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms Comput. Math. with Appl. 39 135 159
-
(2000)
Comput. Math. with Appl.
, vol.39
, pp. 135-159
-
-
Gosse, L.1
-
10
-
-
0035590547
-
A well-balanced scheme using non-conservative products designed for hyperbolic system of conservation laws with source terms
-
L. Gosse 2001 A well-balanced scheme using non-conservative products designed for hyperbolic system of conservation laws with source terms Math. Model. Meth. Appl. Sci. 11 339 365
-
(2001)
Math. Model. Meth. Appl. Sci.
, vol.11
, pp. 339-365
-
-
Gosse, L.1
-
11
-
-
0032345207
-
Total variation diminishing Runge-Kutta schemes
-
S. Gottlieb C.W. Shu 1998 Total variation diminishing Runge-Kutta schemes Mat. Comput. 67 73 85
-
(1998)
Mat. Comput.
, vol.67
, pp. 73-85
-
-
Gottlieb, S.1
Shu, C.W.2
-
12
-
-
1542576141
-
A well balanced scheme for the numerical processing of source terms in hyperbolic equations
-
J.M. Greenberg A.Y. LeRoux 1996 A well balanced scheme for the numerical processing of source terms in hyperbolic equations SIAM J. Numer. Anal. 33 1 16
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1-16
-
-
Greenberg, J.M.1
Leroux, A.Y.2
-
14
-
-
48749145227
-
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
-
A. Harten J.M. Hyman 1983 Self-adjusting grid methods for one-dimensional hyperbolic conservation laws J. Comput. Phys. 50 235 269
-
(1983)
J. Comput. Phys.
, vol.50
, pp. 235-269
-
-
Harten, A.1
Hyman, J.M.2
-
15
-
-
84968497746
-
Why nonconservative schemes converge to wrong solutions: Error analysis
-
T.Y. Hou P.G. LeFloch 1994 Why nonconservative schemes converge to wrong solutions: error analysis Math. Comput. 62 497 530
-
(1994)
Math. Comput.
, vol.62
, pp. 497-530
-
-
Hou, T.Y.1
Lefloch, P.G.2
-
16
-
-
0030412467
-
A Lax-Wendroff type theorem for upwind finite volume schemes in 2-D
-
D. Krüner M. Rokyta M. Wierse 1996 A Lax-Wendroff type theorem for upwind finite volume schemes in 2-D East-West J. Numer. Math. 4 4 279 292
-
(1996)
East-West J. Numer. Math.
, vol.4
, Issue.4
, pp. 279-292
-
-
Krüner, D.1
Rokyta, M.2
Wierse, M.3
-
18
-
-
0001370693
-
Existence theory for nonlinear hyperbolic systems in nonconservative form
-
P.G. LeFloch T.-P. Liu 1993 Existence theory for nonlinear hyperbolic systems in nonconservative form Forum Math. 5 261 280
-
(1993)
Forum Math.
, vol.5
, pp. 261-280
-
-
Lefloch, P.G.1
Liu, T.-P.2
-
19
-
-
0001439303
-
Local piecewise hyperbolic reconstruction of numerical fluxes for non linear scalar conservation laws
-
A. Marquina 1994 Local piecewise hyperbolic reconstruction of numerical fluxes for non linear scalar conservation laws SIAM J. Sci. Comput. 15 4 892 915
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, Issue.4
, pp. 892-915
-
-
Marquina, A.1
-
20
-
-
34547399608
-
Godunov's method for nonconservative hyperbolic systems
-
M.L. Muñoz C. Parés 2007 Godunov's method for nonconservative hyperbolic systems ESAIM Math. Model. Numer. Anal. 41 1 169 185
-
(2007)
ESAIM Math. Model. Numer. Anal.
, vol.41
, Issue.1
, pp. 169-185
-
-
Muñoz, M.L.1
Parés, C.2
-
21
-
-
32644433341
-
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
-
S. Noelle N. Pankratz G. Puppo J. Natvig 2006 Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows J. Comput. Phys. 213 474 499
-
(2006)
J. Comput. Phys.
, vol.213
, pp. 474-499
-
-
Noelle, S.1
Pankratz, N.2
Puppo, G.3
Natvig, J.4
-
22
-
-
10044294949
-
On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems
-
C. Parés M.J. Castro 2004 On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems ESAIM Math. Model. Numer. Anal. 38 5 821 852
-
(2004)
ESAIM Math. Model. Numer. Anal.
, vol.38
, Issue.5
, pp. 821-852
-
-
Parés, C.1
Castro, M.J.2
-
23
-
-
32944460299
-
A bihyperbolic finite volume method for quadrilateral meshes
-
H.J. Schroll F. Svensson 2006 A bihyperbolic finite volume method for quadrilateral meshes SIAM J. Sci. Comput. 26 2 237 260
-
(2006)
SIAM J. Sci. Comput.
, vol.26
, Issue.2
, pp. 237-260
-
-
Schroll, H.J.1
Svensson, F.2
-
24
-
-
35348835123
-
A class of extended limiters applied to piecewise hyperbolic methods
-
S. Serna 2006 A class of extended limiters applied to piecewise hyperbolic methods SIAM J. Sci. Comput. 28 1 123 140
-
(2006)
SIAM J. Sci. Comput.
, vol.28
, Issue.1
, pp. 123-140
-
-
Serna, S.1
-
25
-
-
0000564951
-
Total-variation-diminishing time discretizations
-
C.-W. Shu 1988 Total-variation-diminishing time discretizations SIAM J. Sci. Stat. Comput. 9 6 1073 1084
-
(1988)
SIAM J. Sci. Stat. Comput.
, vol.9
, Issue.6
, pp. 1073-1084
-
-
Shu, C.-W.1
-
26
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock capturing schems
-
C.-W. Shu S. Osher 1988 Efficient implementation of essentially non-oscillatory shock capturing schems J. Comput. Phys. 77 439 471
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 439-471
-
-
Shu, C.-W.1
Osher, S.2
-
27
-
-
33646942205
-
MUSTA fluxes for systems of conservation laws
-
E.F. Toro V.A. Titarev 2006 MUSTA fluxes for systems of conservation laws J. Comput. Phys. 216 2 403 429
-
(2006)
J. Comput. Phys.
, vol.216
, Issue.2
, pp. 403-429
-
-
Toro, E.F.1
Titarev, V.A.2
-
28
-
-
0019382973
-
Some exact solutions to the nonlinear shallow-water wave equations
-
W.C. Thacker 1981 Some exact solutions to the nonlinear shallow-water wave equations J. Fluid Mech. 107 499 508
-
(1981)
J. Fluid Mech.
, vol.107
, pp. 499-508
-
-
Thacker, W.C.1
-
29
-
-
0001124468
-
A weak formulation of Roe's approximate Riemann solver
-
I. Toumi 1992 A weak formulation of Roe's approximate Riemann solver J. Comput. Phys. 102 2 360 373
-
(1992)
J. Comput. Phys.
, vol.102
, Issue.2
, pp. 360-373
-
-
Toumi, I.1
-
30
-
-
0001168879
-
Spaces BV and quasilinear equations
-
A.I. Volpert 1967 Spaces BV and quasilinear equations Math. USSR Sbornik 73 255 302
-
(1967)
Math. USSR Sbornik
, vol.73
, pp. 255-302
-
-
Volpert, A.I.1
-
31
-
-
62949190716
-
Romberg type cubature over arbitrary triangles
-
Mannhein
-
Walz, G.: Romberg type cubature over arbitrary triangles. Mannheimer Mathem. Manuskripte Nr. 225, Mannhein (1997)
-
(1997)
Mannheimer Mathem. Manuskripte Nr. 225
, vol.225
-
-
Walz, G.1
-
32
-
-
19044370217
-
High order finite difference WENO schemes with the exact conservation property for the shallow water equations
-
Y. Xing C.-W. Shu 2005 High order finite difference WENO schemes with the exact conservation property for the shallow water equations J. Comput. Phys. 208 206 227
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 206-227
-
-
Xing, Y.1
Shu, C.-W.2
|