On the convergence of a factorized vector finite difference scheme.
Jovanović, Boško (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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Jovanović, Boško (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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Jovanović, Boško S. (1994)
Matematichki Vesnik
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Jovanović, B.S. (1995)
Matematichki Vesnik
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Boško Jovanović, Peter P. Matus (2000)
Publications de l'Institut Mathématique
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Boško Jovanović, Branislav Popović (1999)
Matematički Vesnik
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Dejan Bojović, Boško Jovanović (1997)
Matematički Vesnik
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Boško Jovanović, Lubin G. Vulkov (2004)
Matematički Vesnik
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Jovanović, Boško, Popović, Branislav (1997)
Matematichki Vesnik
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Bruno Després, Frédéric Lagoutière (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We study a family of non linear schemes for the numerical solution of linear advection on arbitrary grids in several space dimension. A proof of weak convergence of the family of schemes is given, based on a new Longitudinal Variation Diminishing (LVD) estimate. This estimate is a multidimensional equivalent to the well-known TVD estimate in one dimension. The proof uses a corollary of the Perron-Frobenius theorem applied to a generalized Harten formalism.
Lažetić, Nebojša L. (2000)
Publications de l'Institut Mathématique. Nouvelle Série
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Lažetić, Nebojša L. (2001)
Publications de l'Institut Mathématique. Nouvelle Série
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Yves Coudière, Thierry Gallouët, Raphaèle Herbin (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.
Dejan Bojović, Boško Jovanović (1997)
Matematički Vesnik
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