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[121] Bernardo Cockburn, Frédéric Coquel and Philippe LeFloch.
An error estimate for finite volume methods for
multidimensional conservation laws
.
Math. Comp.
63
(1994)
77-103.
MR 1240657.
Abstract, references, and article information
View Article: PDF
[122] Thomas Y. Hou and Philippe G. LeFloch.
Why nonconservative schemes converge to wrong
solutions: error analysis
.
Math. Comp.
62
(1994)
497-530.
MR 1201068.
Abstract, references, and article information
View Article: PDF
[123] Guang Shan Jiang and Chi-Wang Shu.
On a cell entropy inequality for discontinuous
Galerkin methods
.
Math. Comp.
62
(1994)
531-538.
MR 1223232.
Abstract, references, and article information
View Article: PDF
[124] Brahim Khobalatte and Benoît Perthame.
Maximum principle on the entropy and second-order
kinetic schemes
.
Math. Comp.
62
(1994)
119-131.
MR 1208223.
Abstract, references, and article information
View Article: PDF
[125] M. Escobedo, J. L. Vázquez and Enrike Zuazua.
Entropy solutions for diffusion-convection
equations with partial diffusivity
.
Trans. Amer. Math. Soc.
343
(1994)
829-842.
MR 1225573.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[126] Gui Qiang Chen, Qiang Du and Eitan Tadmor.
Spectral viscosity approximations to
multidimensional scalar conservation laws
.
Math. Comp.
61
(1993)
629-643.
MR 1185240.
Abstract, references, and article information
View Article: PDF
[127] Helge Holden and Nils Henrik Risebro.
A method of fractional steps for scalar
conservation laws without the CFL condition
.
Math. Comp.
60
(1993)
221-232.
MR 1153165.
Abstract, references, and article information
View Article: PDF
[128] Jian-Guo Liu and Zhou Ping Xin.
$L\sp 1$-stability of stationary discrete shocks
.
Math. Comp.
60
(1993)
233-244.
MR 1159170.
Abstract, references, and article information
View Article: PDF
[129] Nils Henrik Risebro.
A front-tracking alternative to the random choice
method
.
Proc. Amer. Math. Soc.
117
(1993)
1125-1139.
MR 1120511.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[130] Eitan Tadmor.
Total variation and error estimates for spectral
viscosity approximations
.
Math. Comp.
60
(1993)
245-256.
MR 1153170.
Abstract, references, and article information
View Article: PDF
[131] Hai Tao Fan.
The uniqueness and stability of the solution of the
Riemann problem of a system of conservation laws of mixed
type
.
Trans. Amer. Math. Soc.
333
(1992)
913-938.
MR 1104200.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[132] Edwin F. G. van Daalen, Jan Broeze and Embrecht van Groesen.
Variational principles and conservation laws in the
derivation of radiation boundary conditions for wave
equations
.
Math. Comp.
58
(1992)
55-71.
MR 1106985.
Abstract, references, and article information
View Article: PDF
[133] Jan Broeze and Edwin F. G. van Daalen.
Radiation boundary conditions for the
two-dimensional wave equation from a variational
principle
.
Math. Comp.
58
(1992)
73-82.
MR 1106959.
Abstract, references, and article information
View Article: PDF
[134] Marie-Claude Viallon.
Convergence of the two-point upstream weighting
scheme
.
Math. Comp.
57
(1991)
569-584.
MR 1094962.
Abstract, references, and article information
View Article: PDF
[135] Frédéric Coquel and Philippe LeFloch.
Convergence of finite difference schemes for
conservation laws in several space dimensions: the corrected
antidiffusive flux approach
.
Math. Comp.
57
(1991)
169-210.
MR 1079010.
Abstract, references, and article information
View Article: PDF
[136] I-Liang Chern.
Large-time behavior of solutions of Lax-Friedrichs
finite difference equations for hyperbolic systems of
conservation laws
.
Math. Comp.
56
(1991)
107-118.
MR 1052088.
Abstract, references, and article information
View Article: PDF
[137] L. Hsiao and P. de Mottoni.
Existence and uniqueness of the Riemann problem for
a nonlinear system of conservation laws of mixed type
.
Trans. Amer. Math. Soc.
322
(1990)
121-158.
MR 938919.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[138] Zhou Ping Xin.
Asymptotic stability of planar rarefaction waves
for viscous conservation laws in several dimensions
.
Trans. Amer. Math. Soc.
319
(1990)
805-820.
MR 970270.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[139] Blake Temple.
Weak stability in the global $L\sp 1$-norm for
systems of hyperbolic conservation laws
.
Trans. Amer. Math. Soc.
317
(1990)
673-685.
MR 948199.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[140] Claes Johnson, Anders Szepessy and Peter Hansbo.
On the convergence of shock-capturing streamline
diffusion finite element methods for hyperbolic conservation
laws
.
Math. Comp.
54
(1990)
107-129.
MR 995210.
Abstract, references, and article information
View Article: PDF
[141] Bernardo Cockburn, Suchung Hou and Chi-Wang Shu.
The Runge-Kutta local projection discontinuous
Galerkin finite element method for conservation laws. IV.
The multidimensional case
.
Math. Comp.
54
(1990)
545-581.
MR 1010597.
Abstract, references, and article information
View Article: PDF
[142] Björn Engquist, Per Lötstedt and Björn Sjögreen.
Nonlinear filters for efficient shock
computation
.
Math. Comp.
52
(1989)
509-537.
MR 955750.
Abstract, references, and article information
View Article: PDF
[143] An Ton Bui and De Ning Li.
Double shock fronts for hyperbolic systems of
conservation laws in multidimensional space
.
Trans. Amer. Math. Soc.
316
(1989)
233-250.
MR 935939.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[144] Tong Zhang and Yu Xi Zheng.
Two-dimensional Riemann problem for a single
conservation law
.
Trans. Amer. Math. Soc.
312
(1989)
589-619.
MR 930070.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[145] Bernardo Cockburn and Chi-Wang Shu.
TVB Runge-Kutta local projection discontinuous
Galerkin finite element method for conservation laws. II.
General framework
.
Math. Comp.
52
(1989)
411-435.
MR 983311.
Abstract, references, and article information
View Article: PDF
[146] Hung Ju Kuo.
The error in spatial truncation for systems of
parabolic conservation laws
.
Trans. Amer. Math. Soc.
311
(1989)
433-465.
MR 978364.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[147] Philippe LeFloch and Jean-Claude Nédélec.
Explicit formula for weighted scalar nonlinear
hyperbolic conservation laws
.
Trans. Amer. Math. Soc.
308
(1988)
667-683.
MR 951622.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[148] Richard Sanders.
A third-order accurate variation nonexpansive
difference scheme for single nonlinear conservation laws
.
Math. Comp.
51
(1988)
535-558.
MR 935073.
Abstract, references, and article information
View Article: PDF
[149] J.-P. Vila.
High-order schemes and entropy condition for
nonlinear hyperbolic systems of conservation laws
.
Math. Comp.
50
(1988)
53-73.
MR 917818.
Abstract, references, and article information
View Article: PDF
[150] De Ning Li.
Cauchy problem of hyperbolic conservation laws in
multidimensional space with intersecting jump initial
data
.
Trans. Amer. Math. Soc.
307
(1988)
799-812.
MR 940228.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
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