-
1
-
-
85065353078
-
Convergence of relaxation schemes for conservation laws
-
D. AREGBA-DRIOLLET AND R. NATALINI, Convergence of relaxation schemes for conservation laws, Appl. Anal., 61 (1996), pp. 163-190.
-
(1996)
Appl. Anal.
, vol.61
, pp. 163-190
-
-
Aregba-Driollet, D.1
Natalini, R.2
-
2
-
-
85037511510
-
Discrete kinetic schemes for multidimensional conservation laws
-
to appear
-
D. AREGBA-DRIOLLET AND R. NATALINI, Discrete kinetic schemes for multidimensional conservation laws, SIAM J. Numer. Anal., to appear.
-
SIAM J. Numer. Anal.
-
-
Aregba-Driollet, D.1
Natalini, R.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 (1998), pp. 2847-2870.
-
(1998)
Trans. Amer. Math. Soc.
, vol.350
, pp. 2847-2870
-
-
Bouchut, F.1
Perthame, B.2
-
4
-
-
0038484080
-
-
Cambridge University Press, Cambridge, UK
-
S. CHAPMAN AND T. G. COWLING, The Mathematical Theory of Nonuniform Gases, 3rd ed., Cambridge University Press, Cambridge, UK, 1970.
-
(1970)
The Mathematical Theory of Nonuniform Gases, 3rd Ed.
-
-
Chapman, S.1
Cowling, T.G.2
-
6
-
-
0025446989
-
Characteristic Galerkin methods for scalar conservation laws in one dimension
-
P. N. CHILDS AND K. W. MORTON, Characteristic Galerkin methods for scalar conservation laws in one dimension, SIAM J. Numer. Anal., 27 (1990), pp. 553-594.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 553-594
-
-
Childs, P.N.1
Morton, K.W.2
-
7
-
-
84990689276
-
Hyperbolic conservation laws with stiff relaxation terms and entropy
-
G. Q. CHEN, C. D. LEVERMORE, AND T. P. LIU. Hyperbolic conservation laws with stiff relaxation terms and entropy, Coram. Pure. Appl. Math., 47 (1994), pp. 787-830.
-
(1994)
Coram. Pure. Appl. Math.
, vol.47
, pp. 787-830
-
-
Chen, G.Q.1
Levermore, C.D.2
Liu, T.P.3
-
8
-
-
0003343498
-
Minimal surfaces and functions of bounded variation
-
Birkhäuser, Basel, Boston
-
E. GIUSTI, Minimal Surfaces and Functions of Bounded Variation, Monogr. Math. 80, Birkhäuser, Basel, Boston, 1984.
-
(1984)
Monogr. Math.
, vol.80
-
-
Giusti, E.1
-
9
-
-
84972568146
-
A kinetic construction of global solutions of first order quasi-linear equations
-
Y. GIGA AND T. MIYAKAWA, A kinetic construction of global solutions of first order quasi-linear equations, Duke Math. J., 50 (1983), pp. 505-515.
-
(1983)
Duke Math. J.
, vol.50
, pp. 505-515
-
-
Giga, Y.1
Miyakawa, T.2
-
10
-
-
84990701264
-
The relaxation schemes for systems of conservation laws in arbitrary space dimensions
-
S. JIN AND Z. P. XIN, The relaxation schemes for systems of conservation laws in arbitrary space dimensions, Comm. Pure. Appl. Math., 48 (1995), pp. 235-277.
-
(1995)
Comm. Pure. Appl. Math.
, vol.48
, pp. 235-277
-
-
Jin, S.1
Xin, Z.P.2
-
11
-
-
0000220624
-
First order quasi-linear equations in several independent variables
-
S. N. KRUŽKOV, First order quasi-linear equations in several independent variables, Mat. Sb. (N.S.), 81 (1970), pp. 228-255.
-
(1970)
Mat. Sb. (N.S.)
, vol.81
, pp. 228-255
-
-
Kružkov, S.N.1
-
12
-
-
0000538022
-
Stiff systems of hyperbolic conservation laws: Convergence and error estimates
-
A. KURGANOV AND E. TADMOR, Stiff systems of hyperbolic conservation laws: Convergence and error estimates, SIAM J. Math. Anal., 28 (1997), pp. 1446-1456.
-
(1997)
SIAM J. Math. Anal.
, vol.28
, pp. 1446-1456
-
-
Kurganov, A.1
Tadmor, E.2
-
13
-
-
0000282942
-
Contractive relaxation systems and scalar multidimentional conservation laws
-
M. KATSOULAKIS AND A. TZAVARAS, Contractive relaxation systems and scalar multidimentional conservation laws, Comm. Partial Differential Equations, 22 (1997), pp. 195-233.
-
(1997)
Comm. Partial Differential Equations
, vol.22
, pp. 195-233
-
-
Katsoulakis, M.1
Tzavaras, A.2
-
14
-
-
0033478912
-
Convergence and error estimates of relaxation schemes for multidimensional conservation laws
-
M. KATSOULAKIS, K. KOSSIORIS, AND CH. MAKRIDAKIS, Convergence and error estimates of relaxation schemes for multidimensional conservation laws, Comm. Partial Differential Equations, 24 (1999), pp. 395-424.
-
(1999)
Comm. Partial Differential Equations
, vol.24
, pp. 395-424
-
-
Katsoulakis, M.1
Kossioris, K.2
Makridakis, Ch.3
-
15
-
-
0001161125
-
Accuracy of some approximate methods for computing the weak solutions of a first order quasilinear equation
-
N. N. KUZNETSOV, Accuracy of some approximate methods for computing the weak solutions of a first order quasilinear equation, U.S.S.R. Comput. Math. Math. Phys., 16 (1976), pp. 105-119
-
(1976)
U.S.S.R. Comput. Math. Math. Phys.
, vol.16
, pp. 105-119
-
-
Kuznetsov, N.N.1
-
16
-
-
21544449601
-
Hyperbolic conservation laws with relaxation
-
T. P. LIU, Hyperbolic conservation laws with relaxation, Comm. Math. Phys., 108 (1987), pp. 153-175
-
(1987)
Comm. Math. Phys.
, vol.108
, pp. 153-175
-
-
Liu, T.P.1
-
17
-
-
84968518243
-
A kinetic formulation of multidimensional scalar conservation laws and related equations
-
P. L. LIONS, B. PERTHAME, AND E. TADMOR, A kinetic formulation of multidimensional scalar conservation laws and related equations, J. Amer. Math. Soc., 7 (1994), pp. 169-191.
-
(1994)
J. Amer. Math. Soc.
, vol.7
, pp. 169-191
-
-
Lions, P.L.1
Perthame, B.2
Tadmor, E.3
-
18
-
-
0022387804
-
Error bounds for the methods of Glimm, Godunov and LeVeque
-
B. J. LUCIER, Error bounds for the methods of Glimm, Godunov and LeVeque, SIAM J. Numer. Anal., 22 (1985), pp. 1074-1081.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 1074-1081
-
-
Lucier, B.J.1
-
19
-
-
0000741448
-
A kinetic equation with kinetic entropy functions for scalar conservation laws
-
B. PERTHAME AND E. TADMOR, A kinetic equation with kinetic entropy functions for scalar conservation laws, Comm. Math. Phys., 136 (1991), pp. 501-517.
-
(1991)
Comm. Math. Phys.
, vol.136
, pp. 501-517
-
-
Perthame, B.1
Tadmor, E.2
-
20
-
-
0030490070
-
Convergence to equilibrium for the relaxation approximations of conservation laws
-
R. NATALINI, Convergence to equilibrium for the relaxation approximations of conservation laws Comm. Pure Appl. Math., 49 (1996), pp. 795-823.
-
(1996)
Comm. Pure Appl. Math.
, vol.49
, pp. 795-823
-
-
Natalini, R.1
-
21
-
-
11544335821
-
A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
-
R. NATALINI, A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws, J. Differential Equations, 148 (1998), pp. 292-317.
-
(1998)
J. Differential Equations
, vol.148
, pp. 292-317
-
-
Natalini, R.1
-
22
-
-
0026972508
-
The convergence rate of approximate solutions for nonlinear scalar conservation laws
-
H. NESSYAHU AND E. TADMOR, The convergence rate of approximate solutions for nonlinear scalar conservation laws, SIAM J. Numer. Anal., 29 (1992), pp. 1505-1519.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1505-1519
-
-
Nessyahu, H.1
Tadmor, E.2
-
23
-
-
0000189454
-
The optimal convergence rate of monotone finite difference methods for hyperbolic conservation laws
-
F. SABAC, The optimal convergence rate of monotone finite difference methods for hyperbolic conservation laws, SIAM J. Numer. Anal., 34 (1997), pp. 2306-2318.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 2306-2318
-
-
Sabac, F.1
-
24
-
-
0005482774
-
Shock waves and reaction-diffusion equations
-
Springer-Verlag, New York
-
J. SMOLLER, Shock Waves and Reaction-Diffusion Equations, Grundlehren Math. Wiss. 258, Springer-Verlag, New York, 1994.
-
(1994)
Grundlehren Math. Wiss.
, vol.258
-
-
Smoller, J.1
-
25
-
-
0039026206
-
1-error bound for a semi-implicit difference scheme applied to a stiff system of conservation laws
-
1-error bound for a semi-implicit difference scheme applied to a stiff system of conservation laws, SIAM J. Numer. Anal., 34 (1997), pp. 1152-1166.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 1152-1166
-
-
Schroll, H.J.1
Tveito, A.2
Winther, R.3
-
26
-
-
84968519569
-
1-error estimate for monotone difference schemes
-
1-error estimate for monotone difference schemes, Math. Comp., 64 (1995), pp. 581-589.
-
(1995)
Math. Comp.
, vol.64
, pp. 581-589
-
-
Tang, T.1
Teng, Z.H.2
-
27
-
-
0001176128
-
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions
-
E. TADMOR AND T. TANG, Pointwise error estimates for scalar conservation laws with piecewise smooth solutions, SIAM J. Numer. Anal., 36 (1999), pp. 1739-1758.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 1739-1758
-
-
Tadmor, E.1
Tang, T.2
-
29
-
-
0032361628
-
1-convergence for relaxation approximations to conservations
-
1-convergence for relaxation approximations to conservations, Comm. Pure Appl. Math., 51 (1998), pp. 857-895.
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 857-895
-
-
Teng, Z.-H.1
-
30
-
-
0031537812
-
On the rate of convergence to equilibrium for a system of conservation laws with a relaxation term
-
A. TVEITO AND R. WINTHER, On the rate of convergence to equilibrium for a system of conservation laws with a relaxation term, SIAM J. Math. Anal., 28 (1997), pp. 136-161.
-
(1997)
SIAM J. Math. Anal.
, vol.28
, pp. 136-161
-
-
Tveito, A.1
Winther, R.2
-
31
-
-
0002757330
-
Convergence of relaxing schemes for conservations laws
-
G.-Q. Chen, Y. Li, X. Zhu, and D. Cao, eds., World Scientific, Singapore
-
J. WANG AND G. WARNECKE, Convergence of relaxing schemes for conservations laws, in Advances in Nonlinear Partial Differential Equations and Related Areas, G.-Q. Chen, Y. Li, X. Zhu, and D. Cao, eds., World Scientific, Singapore, 1998, pp. 300-325.
-
(1998)
Advances in Nonlinear Partial Differential Equations and Related Areas
, pp. 300-325
-
-
Wang, J.1
Warnecke, G.2
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