Convergence of a difference method for a system of first order partial differential equations of hyperbolic type
Stefan Bal (1974)
Annales Polonici Mathematici
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Stefan Bal (1974)
Annales Polonici Mathematici
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G. Starius (1980)
Numerische Mathematik
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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J. Kisyński (1970)
Colloquium Mathematicae
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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W. WERNER (1968)
Numerische Mathematik
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R. Krasnodębski (1970)
Colloquium Mathematicae
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G. Bretti, R. Natalini, M. Ribot (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is motivated by tissue-engineering scaffolds used for improving wound healing. We introduce a numerical scheme, which guarantees global mass densities conservation. Moreover our scheme is able to yield a correct approximation of the effects of the source term at equilibrium. Several numerical tests are presented...
M. Brokate (1985)
Numerische Mathematik
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