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[1] Christophe Berthon, Philippe G. LeFloch and Rodolphe Turpault.
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations.
Math. Comp.
82
(2013)
831-860.
Abstract, references, and article information
View Article: PDF
[2] Bernardo Cockburn and Ke Shi.
Conditions for superconvergence of HDG methods for Stokes flow.
Math. Comp.
82
(2013)
651-671.
Abstract, references, and article information
View Article: PDF
[3] S. Mishra and Ch. Schwab.
Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data.
Math. Comp.
81
(2012)
1979-2018.
Abstract, references, and article information
View Article: PDF
[4] Bernardo Cockburn and Jintao Cui.
An analysis of HDG methods for the vorticity-velocity-pressure formulation of the Stokes problem in three dimensions.
Math. Comp.
81
(2012)
1355-1368.
Abstract, references, and article information
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[5] Bernardo Cockburn, Weifeng Qiu and Ke Shi.
Conditions for superconvergence of HDG methods for second-order elliptic problems.
Math. Comp.
81
(2012)
1327-1353.
Abstract, references, and article information
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[6] Volker Elling.
A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence.
Math. Comp.
75
(2006)
1721-1733.
MR 2240632.
Abstract, references, and article information
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[7] Manuel Castro, José M. Gallardo and Carlos Parés.
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems.
Math. Comp.
75
(2006)
1103-1134.
MR 2219021.
Abstract, references, and article information
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[8] Raimund Bürger, Aníbal Coronel and Mauricio Sepúlveda.
A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes.
Math. Comp.
75
(2006)
91-112.
MR 2176391.
Abstract, references, and article information
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[9] Mario Ohlberger and Julien Vovelle.
Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method.
Math. Comp.
75
(2006)
113-150.
MR 2176392.
Abstract, references, and article information
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[10] Theodoros Katsaounis and Chiara Simeoni.
First and second order error estimates for the Upwind Source at Interface method.
Math. Comp.
74
(2005)
103-122.
MR 2085404.
Abstract, references, and article information
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[11] Mao Ye.
Existence and asymptotic stability of relaxation discrete shock profiles.
Math. Comp.
73
(2004)
1261-1296.
MR 2047087.
Abstract, references, and article information
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This article is available free of charge
[12] K. H. Karlsen, C. Klingenberg and N. H. Risebro.
A relaxation scheme for conservation laws with a discontinuous coefficient.
Math. Comp.
73
(2004)
1235-1259.
MR 2047086.
Abstract, references, and article information
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This article is available free of charge
[13] Lung-An Ying.
Finite difference method for a combustion model.
Math. Comp.
73
(2004)
595-611.
MR 2031396.
Abstract, references, and article information
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This article is available free of charge
[14] Kirill Kopotun, Marian Neamtu and Bojan Popov.
Weakly nonoscillatory schemes for scalar conservation laws.
Math. Comp.
72
(2003)
1747-1767.
MR 1986803.
Abstract, references, and article information
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This article is available free of charge
[15] Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu and Endre Süli.
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations.
Math. Comp.
72
(2003)
577-606.
MR 1954957.
Abstract, references, and article information
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[16] Robert Kirby.
On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws.
Math. Comp.
72
(2003)
1239-1250.
MR 1972734.
Abstract, references, and article information
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This article is available free of charge
[17] Ramaz Botchorishvili, Benoit Perthame and Alexis Vasseur.
Equilibrium schemes for scalar conservation laws with stiff sources.
Math. Comp.
72
(2003)
131-157.
MR 1933816.
Abstract, references, and article information
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[18] Heinrich Freistühler and Christian Rohde.
Numerical computation of viscous profiles for hyperbolic conservation laws.
Math. Comp.
71
(2002)
1021-1042.
MR 1898744.
Abstract, references, and article information
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[19] Hailiang Liu.
The $l^1$ global decay to discrete shocks for scalar monotone schemes.
Math. Comp.
72
(2003)
227-245.
MR 1933819.
Abstract, references, and article information
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[20] Leon Q. Brin.
Numerical testing of the stability of viscous shock waves.
Math. Comp.
70
(2001)
1071-1088.
MR 1710652.
Abstract, references, and article information
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[21] Haitao Fan.
Existence of discrete shock profiles of a class of monotonicity preserving schemes for conservation laws.
Math. Comp.
70
(2001)
1043-1069.
MR 1826576.
Abstract, references, and article information
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[22] Laurent Gosse and Athanasios E. Tzavaras.
Convergence of relaxation schemes to the equations of elastodynamics.
Math. Comp.
70
(2001)
555-577.
MR 1813140.
Abstract, references, and article information
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[23] M. Lukácová-Medvid'ová, K. W. Morton and G. Warnecke.
Evolution Galerkin methods for hyperbolic systems in two space
dimensions.
Math. Comp.
69
(2000)
1355-1384.
MR 1709154.
Abstract, references, and article information
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[24] Dietmar Kröner and Mario Ohlberger.
A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions.
Math. Comp.
69
(2000)
25-39.
MR 1659843.
Abstract, references, and article information
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[25] Hailiang Liu.
Convergence rates to the discrete travelling wave for relaxation schemes.
Math. Comp.
69
(2000)
583-608.
MR 1653958.
Abstract, references, and article information
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[26] Philippe G. LeFloch and Jian-Guo Liu.
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions .
Math. Comp.
68
(1999)
1025-1055.
MR 1627801.
Abstract, references, and article information
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This article is available free of charge
[27] A. Chalabi.
Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms.
Math. Comp.
68
(1999)
955-970.
MR 1648367.
Abstract, references, and article information
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[28] Haitao Fan.
Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws .
Math. Comp.
67
(1998)
87-109.
MR 1451320.
Abstract, references, and article information
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[29] Gui-Qiang Chen and Jian-Guo Liu.
Convergence of difference schemes with high resolution for conservation laws.
Math. Comp.
66
(1997)
1027-1053.
MR 1422786.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[30] Abdallah Chalabi.
On convergence of numerical schemes for hyperbolic conservation laws with stiff source terms.
Math. Comp.
66
(1997)
527-545.
MR 1397441.
Abstract, references, and article information
View Article: PDF
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