-
1
-
-
0030509253
-
A MUSCL method satisfying all the numerical entropy inequalities
-
F. Bouchut, C. H. Bourdarias, and B. Perthame, A MUSCL method satisfying all the numerical entropy inequalities, Math. Comp., 65 (1996), pp. 1438-1461.
-
(1996)
Math. Comp.
, vol.65
, pp. 1438-1461
-
-
Bouchut, F.1
Bourdarias, C.H.2
Perthame, B.3
-
2
-
-
84966246413
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
-
B. Cockburn and C.-W. Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework, Math. Comp., 52 (1989), pp. 411-435.
-
(1989)
Math. Comp.
, vol.52
, pp. 411-435
-
-
Cockburn, B.1
Shu, C.-W.2
-
3
-
-
0344393366
-
The local discontinuous Galerkin method for time-dependent convection-diffusion systems
-
B. Cockburn and C.-W. Shu, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM J. Numer. Anal., 35 (1998), pp. 2440-2463.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2440-2463
-
-
Cockburn, B.1
Shu, C.-W.2
-
4
-
-
84966217981
-
Monotone difference approximations for scalar conservation laws
-
M. G. Crandall and A. Majda, Monotone difference approximations for scalar conservation laws, Math. Comp., 34 (1980), pp. 1-21.
-
(1980)
Math. Comp.
, vol.34
, pp. 1-21
-
-
Crandall, M.G.1
Majda, A.2
-
5
-
-
33645452809
-
Second-order entropy diminishing scheme for the Euler equations
-
F. Coquel, P. Helluy, and J. Schneider, Second-order entropy diminishing scheme for the Euler equations, Internat. J. Numer. Methods Fluids, 50 (2006), pp. 1029-1061.
-
(2006)
Internat. J. Numer. Methods Fluids
, vol.50
, pp. 1029-1061
-
-
Coquel, F.1
Helluy, P.2
Schneider, J.3
-
6
-
-
0030501943
-
An entropy satisfying MUSCL scheme for systems of conservation laws
-
F. Coquel and P. LeFloch, An entropy satisfying MUSCL scheme for systems of conservation laws, Numer. Math., 74 (1996), pp. 1-33.
-
(1996)
Numer. Math.
, vol.74
, pp. 1-33
-
-
Coquel, F.1
LeFloch, P.2
-
7
-
-
84968487025
-
On cell entropy inequality for discontinuous Galerkin methods
-
G.-S. Jiang and C.-W. Shu, On cell entropy inequality for discontinuous Galerkin methods, Math. Comp., 62 (1994), pp. 531-538.
-
(1994)
Math. Comp.
, vol.62
, pp. 531-538
-
-
Jiang, G.-S.1
Shu, C.-W.2
-
8
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
G.-S. Jiang and C.-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, C.-W.2
-
9
-
-
0141976338
-
Weakly nonoscillatory schemes for scalar conservation laws
-
K. Kopotun, M. Neamtu, and B. Popov, Weakly nonoscillatory schemes for scalar conservation laws, Math. Comp., 72 (2003), pp. 1747-1767.
-
(2003)
Math. Comp.
, vol.72
, pp. 1747-1767
-
-
Kopotun, K.1
Neamtu, M.2
Popov, B.3
-
11
-
-
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
-
12
-
-
84966232121
-
On the convergence of the difference approximations to scalar conservation laws
-
S. Osher and E. Tadmor, On the convergence of the difference approximations to scalar conservation laws, Math. Comp., 50 (1988), pp. 19-51.
-
(1988)
Math. Comp.
, vol.50
, pp. 19-51
-
-
Osher, S.1
Tadmor, E.2
-
13
-
-
55349130686
-
Convergence of Godunov-type schemes for scalar conservation laws under large time steps
-
J.-M. Qiu and C.-W. Shu, Convergence of Godunov-type schemes for scalar conservation laws under large time steps, SIAM J. Numer. Anal., 46 (2008), pp. 2211-2237.
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, pp. 2211-2237
-
-
Qiu, J.-M.1
Shu, C.-W.2
-
14
-
-
19644381369
-
Runge-Kutta discontinuous Galerkin method using WENO limiters
-
J.-X. Qiu and C.-W. Shu, Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM J. Sci. Comput., 26 (2005), pp. 907-929.
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 907-929
-
-
Qiu, J.-X.1
Shu, C.-W.2
-
15
-
-
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
-
16
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock capturing schemes
-
C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock capturing schemes, J. Comput. Phys., 77 (1988), pp. 439-471.
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 439-471
-
-
Shu, C.-W.1
Osher, S.2
-
17
-
-
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 (1979), pp. 101-136.
-
(1979)
J. Comput. Phys.
, vol.32
, pp. 101-136
-
-
Van Leer, B.1
-
18
-
-
33744949897
-
Anti-diffusive finite difference WENO methods for shallow water with transport of pollutant
-
Z. Xu and C.-W. Shu, Anti-diffusive finite difference WENO methods for shallow water with transport of pollutant, J. Comput. Math., 24 (2006), pp. 239-251.
-
(2006)
J. Comput. Math.
, vol.24
, pp. 239-251
-
-
Xu, Z.1
Shu, C.-W.2
-
19
-
-
0043235518
-
On wavewise entropy inequality for high-resolution schemes II: Fully discrete MUSCL schemes with exact evolution in small time
-
H. Yang, On wavewise entropy inequality for high-resolution schemes II: Fully discrete MUSCL schemes with exact evolution in small time, SIAM J. Numer. Anal., 36 (1998), pp. 1-31.
-
(1998)
SIAM J. Numer. Anal.
, vol.36
, pp. 1-31
-
-
Yang, H.1
-
20
-
-
24644449311
-
Convergence of Godunov type schemes
-
H. Yang, Convergence of Godunov type schemes, Appl. Math. Lett., 9 (1996), pp. 63-67.
-
(1996)
Appl. Math. Lett.
, vol.9
, pp. 63-67
-
-
Yang, H.1
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