On the convergence of a three-level vector SOR scheme.
Jovanović, B.S. (1995)
Matematichki Vesnik
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Jovanović, B.S. (1995)
Matematichki Vesnik
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Jovanović, Boško (1994)
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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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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Boško Jovanović, Lubin G. Vulkov (2004)
Matematički Vesnik
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Dejan Bojović, Boško Jovanović (1997)
Matematički Vesnik
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W. Czernous (2006)
Annales Polonici Mathematici
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Classical solutions of initial boundary value problems are approximated by solutions of associated differential difference problems. A method of lines for an unknown function for the original problem and for its partial derivatives with respect to spatial variables is constructed. A complete convergence analysis for the method is given. A stability result is proved by using differential inequalities with nonlinear estimates of the Perron type for the given operators. ...
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.
Jovanović, Boško, Popović, Branislav (1997)
Matematichki Vesnik
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Jovanovich, B., Popovich, B. (2001)
Computational Methods in Applied Mathematics
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Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2007)
Advances in Difference Equations [electronic only]
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