-
1
-
-
0030521036
-
Numerical discretization of the first-order Hamilton- Jacobi equation on triangular meshes
-
R. ABGRALL, Numerical discretization of the first-order Hamilton- Jacobi equation on triangular meshes, Comm. Pure Appl. Math., 49 (1996), pp. 1339-1373.
-
(1996)
Comm. Pure Appl. Math.
, vol.49
, pp. 1339-1373
-
-
Abgrall, R.1
-
2
-
-
0002715573
-
Généralisation du schéma de Nessyahu-Tadmor pour une équation hyperbolique à deux dimensions d'espace
-
P. ARMINJON AND M.-C. VIALLON, Généralisation du schéma de Nessyahu-Tadmor pour une équation hyperbolique à deux dimensions d'espace, C. R. Acad. Sci. Paris Sér. I, 320 (1995), pp. 85-88.
-
(1995)
C. R. Acad. Sci. Paris Sér. I
, vol.320
, pp. 85-88
-
-
Arminjon, P.1
Viallon, M.-C.2
-
4
-
-
0033296324
-
High-order central schemes for hyperbolic systems of conservation laws
-
F. BIANCO, G. PUPPO, AND G. Russo, High-order central schemes for hyperbolic systems of conservation laws, SLAM J. Sci. Comput., 21 (1999), pp. 294-322.
-
(1999)
SLAM J. Sci. Comput.
, vol.21
, pp. 294-322
-
-
Bianco, F.1
Puppo, G.2
Russo, G.3
-
5
-
-
85140868619
-
Central schemes for multidimensional Hamilton-Jacobi equations
-
to appear
-
S. BRYSON AND D. LEVY, Central schemes for multidimensional Hamilton-Jacobi equations, SIAM J. Sci. Comput., to appear.
-
SIAM J. Sci. Comput.
-
-
Bryson, S.1
Levy, D.2
-
6
-
-
4544310516
-
High-order central WENO schemes for 1D Hamilton-Jacobi equations
-
Numerical Mathematics and Advanced Applications (Ischia, Italy), F. Brezzi, A. Buffa, S. Cosaro, and A. Murli, eds., Springer-Verlag
-
S. BRYSON AND D. LEVY, High-order central WENO schemes for 1D Hamilton-Jacobi equations, in Numerical Mathematics and Advanced Applications (Proceedings of ENUMATH 2001, Ischia, Italy), F. Brezzi, A. Buffa, S. Cosaro, and A. Murli, eds., Springer-Verlag, 2003.
-
(2003)
Proceedings of ENUMATH 2001
-
-
Bryson, S.1
Levy, D.2
-
7
-
-
84968507121
-
Some properties of viscosity solutions of Hamilton-Jacobi equations
-
M.G. CRANDALL, L.C. EVANS, AND P.-L. LIONS, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 282 (1984), pp. 487-502.
-
(1984)
Trans. Amer. Math. Soc.
, vol.282
, pp. 487-502
-
-
Crandall, M.G.1
Evans, L.C.2
Lions, P.-L.3
-
8
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
M.G. CRANDALL, H. ISHII, AND P.-L, LIONS, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc., 27 (1992), pp. 1-67.
-
(1992)
Bull. Amer. Math. Soc.
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.-L.3
-
9
-
-
84967758647
-
Viscosity solutions of Hamilton-Jacobi equations
-
M.G. CRANDALL AND P.-L. LIONS, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 277 (1983), pp. 1-42.
-
(1983)
Trans. Amer. Math. Soc.
, vol.277
, pp. 1-42
-
-
Crandall, M.G.1
Lions, P.-L.2
-
10
-
-
84966245867
-
Two approximations of solutions of Hamilton-Jacobi equations
-
M.G. CRANDALL AND P.-L. LIONS, Two approximations of solutions of Hamilton-Jacobi equations, Math. Comp., 43 (1984), pp. 1-19.
-
(1984)
Math. Comp.
, vol.43
, pp. 1-19
-
-
Crandall, M.G.1
Lions, P.-L.2
-
11
-
-
0001380483
-
Systems of conservation equations with a convex extension
-
K.O. FRIEDRICHS AND P.D. LAX, Systems of conservation equations with a convex extension, Proc. Natl. Acad. Sci. USA, 68 (1971), pp.1686-1688.
-
(1971)
Proc. Natl. Acad. Sci. USA
, vol.68
, pp. 1686-1688
-
-
Friedrichs, K.O.1
Lax, P.D.2
-
12
-
-
0035273564
-
Strong stability-preserving high-order time discretization methods
-
S. GOTTLIEB, C.-W. SHU, AND E. TADMOR, Strong stability-preserving high-order time discretization methods, SIAM Rev., 43 (2001), pp. 89-112.
-
(2001)
SIAM Rev.
, vol.43
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.-W.2
Tadmor, E.3
-
13
-
-
33749725182
-
Uniformly high order accurate essentially non-oscillatory schemes III
-
A. HARTEN, B. ENGQUIST, S. OSHER, AND S. CHAKRAVARTHY, Uniformly high order accurate essentially non-oscillatory schemes III, J. Comput. Phys., 71 (1987), pp. 231-303.
-
(1987)
J. Comput. Phys.
, vol.71
, pp. 231-303
-
-
Harten, A.1
Engquist, B.2
Osher, S.3
Chakravarthy, S.4
-
14
-
-
0033296133
-
A discontinuous Galerkin finite element method for Hamilton-Jacobi equations
-
C. Hu AND C.-W. SHU, A discontinuous Galerkin finite element method for Hamilton-Jacobi equations, SIAM J. Sci. Comput., 21 (1999), pp. 666-690.
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 666-690
-
-
Hu, C.1
Shu, C.-W.2
-
15
-
-
0000585998
-
The Cauchy problem in the large for nonlinear equations and for certain quasilinear systems of the first order with several variables
-
S.N. KRUZKOV, The Cauchy problem in the large for nonlinear equations and for certain quasilinear systems of the first order with several variables, Soviet Math. Dokl., 5 (1964), pp. 493-496.
-
(1964)
Soviet Math. Dokl.
, vol.5
, pp. 493-496
-
-
Kruzkov, S.N.1
-
16
-
-
0000238594
-
High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws
-
G.-S. JIANQ, D. LEVY, C.-T. LIN, S. OSHER, AND E. TADMOR, High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws, SIAM J. Numer. Anal., 35 (1998), pp. 2147-2168.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2147-2168
-
-
Jianq, G.-S.1
Levy, D.2
Lin, C.-T.3
Osher, S.4
Tadmor, E.5
-
17
-
-
0034503787
-
Weighted ENO schemes for Hamilton-Jacobi equations
-
G.-S, JIANG AND D. PENG, Weighted ENO schemes for Hamilton-Jacobi equations, SIAM J. Sci. Comput., 21 (2000), pp. 2126-2143.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 2126-2143
-
-
Jiang, G.-S.1
Peng, D.2
-
18
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
G.-S. JIANG AND D.-W. SHU, Efficient implementation of weighted ENO schemes, J. Comput. Phys., 126 (1996), pp. 202-228.
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-228
-
-
Jiang, G.-S.1
Shu, D.-W.2
-
19
-
-
0032206542
-
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws
-
G.-S. JIANG AND E. TADMOR, Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. SIAM J. Sci. Comput., 19 (1998), pp. 1892-1917.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1892-1917
-
-
Jiang, G.-S.1
Tadmor, E.2
-
20
-
-
0000997075
-
Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxation schemes
-
S. JIN AND Z. XIN, Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxation schemes, SIAM J. Numer. Anal., 35 (1998), pp. 2385-2404.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2385-2404
-
-
Jin, S.1
Xin, Z.2
-
21
-
-
0036288577
-
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations
-
A. KURGANOV, S. NOELLE, AND G. PETROVA, Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations, SIAM J. Sci. Comput., 23 (2001), pp. 707-740.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 707-740
-
-
Kurganov, A.1
Noelle, S.2
Petrova, G.3
-
22
-
-
0000356257
-
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
-
A. KURGANOV AND E. TADMOR, New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations, J. Comput. Phys., 160 (2000), pp. 720-724.
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 720-724
-
-
Kurganov, A.1
Tadmor, E.2
-
23
-
-
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 (2000), pp. 241-282.
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 241-282
-
-
Kurganov, A.1
Tadmor, E.2
-
24
-
-
0034190306
-
Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
-
O. LEPSKY, C. HU, AND C.-W. SHU, Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations, Appl. Numer. Math., 33 (2000), pp. 423-434.
-
(2000)
Appl. Numer. Math.
, vol.33
, pp. 423-434
-
-
Lepsky, O.1
Hu, C.2
Shu, C.-W.3
-
25
-
-
0037249089
-
A fourth order central WENO scheme for multi-dimensional hyperbolic systems of conservation laws
-
D. LEVY, G. PUPPO, AND G. Russo, A fourth order central WENO scheme for multi-dimensional hyperbolic systems of conservation laws, SIAM J. Sci. Comput., 24 (2002), pp. 480-506.
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 480-506
-
-
Levy, D.1
Puppo, G.2
Russo, G.3
-
26
-
-
0033468934
-
Central WENO schemes for hyperbolic systems of conservation laws
-
D. LEVY, G. PUPPO, AND G. RUSSO, Central WENO schemes for hyperbolic systems of conservation laws. Math. Model. Numer. Anal., 33 (1999), pp. 547-571.
-
(1999)
Math. Model. Numer. Anal.
, vol.33
, pp. 547-571
-
-
Levy, D.1
Puppo, G.2
Russo, G.3
-
27
-
-
0035075926
-
Compact central WENO schemes for multidimensional conservation laws
-
D. LEVY, G. PUPPO, AND G. Russo, Compact central WENO schemes for multidimensional conservation laws, SIAM J. Sci. Comput., 22 (2000), pp. 656-672.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 656-672
-
-
Levy, D.1
Puppo, G.2
Russo, G.3
-
29
-
-
21844506272
-
Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations
-
P.L. LIONS AND P.E. SOUGANIDIS, Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations, Numer. Math., 69 (1995), pp. 441-470.
-
(1995)
Numer. Math.
, vol.69
, pp. 441-470
-
-
Lions, P.L.1
Souganidis, P.E.2
-
30
-
-
0035580662
-
1-stability and error estimates for approximate Hamilton-Jacobi solutions
-
1-stability and error estimates for approximate Hamilton-Jacobi solutions, Numer. Math., 87 (2001), pp. 701-735.
-
(2001)
Numer. Math.
, vol.87
, pp. 701-735
-
-
Lin, C.-T.1
Tadmor, E.2
-
31
-
-
0034505281
-
High-resolution nonoscillatory central schemes for Hamilton-Jacobi equations
-
C.-T. LIN AND E. TADMOR, High-resolution nonoscillatory central schemes for Hamilton-Jacobi equations, SIAM J. Sci. Comput., 21 (2000), pp. 2163-2186.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 2163-2186
-
-
Lin, C.-T.1
Tadmor, E.2
-
32
-
-
0000592595
-
Weighted essentially non-oscillatory schemes
-
X.-D. LIU, S. OSHER, AND T. CHAN, Weighted essentially non-oscillatory schemes, J. Comput. Phys., 115 (1994), pp. 200-212.
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 200-212
-
-
Liu, X.-D.1
Osher, S.2
Chan, T.3
-
33
-
-
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 (1990), pp. 408-463.
-
(1990)
J. Comput. Phys.
, vol.87
, pp. 408-463
-
-
Nessyahu, H.1
Tadmor, E.2
-
34
-
-
44749084234
-
Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
-
S. OSHER AND J. SETHIAN, Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys., 79 (1988), pp. 12-49.
-
(1988)
J. Comput. Phys.
, vol.79
, pp. 12-49
-
-
Osher, S.1
Sethian, J.2
-
35
-
-
0026204106
-
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations
-
S. OSHER AND C.-W. SHU, High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations, SIAM J. Numer. Anal., 28 (1991), pp. 907-922.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 907-922
-
-
Osher, S.1
Shu, C.-W.2
-
36
-
-
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), pp. 108-127.
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 108-127
-
-
Shi, J.1
Hu, C.2
Shu, C.-W.3
-
37
-
-
0001568854
-
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
-
C.-W. SHU AND S. OSHER, Efficient implementation of essentially non-oscillatory shock-capturing schemes, II, J. Comput. Phys., 83 (1989), pp. 32-78.
-
(1989)
J. Comput. Phys.
, vol.83
, pp. 32-78
-
-
Shu, C.-W.1
Osher, S.2
-
38
-
-
46549091075
-
Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
-
P.E. SOUGANIDIS, Approximation schemes for viscosity solutions of Hamilton-Jacobi equations, J. Differential Equations, 59 (1985), pp. 1-43.
-
(1985)
J. Differential Equations
, vol.59
, pp. 1-43
-
-
Souganidis, P.E.1
-
39
-
-
84966233444
-
Natural continuous extensions of Runge-Kutta methods
-
M. ZENNARO, Natural continuous extensions of Runge-Kutta methods, Math. Comp., 46 (1986), pp. 119-133.
-
(1986)
Math. Comp.
, vol.46
, pp. 119-133
-
-
Zennaro, M.1
-
40
-
-
0038070190
-
High-order WENO schemes for Hamilton-Jacobi equations on triangular meshes
-
Y.-T. ZHANG AND C.-W. SHU, High-order WENO schemes for Hamilton-Jacobi equations on triangular meshes, SIAM J. Sci. Comput., 24 (2003), pp. 1005-1030.
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, pp. 1005-1030
-
-
Zhang, Y.-T.1
Shu, C.-W.2
|