Numerical Methods for Integro-Differential Equations of Parabolic and Hyperbolic Types.
J. jr. DOUGLAS, B.F. jr. JONES (1962/63)
Numerische Mathematik
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J. jr. DOUGLAS, B.F. jr. JONES (1962/63)
Numerische Mathematik
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Boško Jovanović, Lubin Vulkov (2012)
Open Mathematics
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In this paper we investigate a mixed parabolic-hyperbolic initial boundary value problem in two disconnected intervals with Robin-Dirichlet conjugation conditions. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate is obtained.
Pavel Bělík, Timothy Brule, Mitchell Luskin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose, analyze, and compare several numerical methods for the computation of the deformation of a pressurized martensitic thin film. Numerical results have been obtained for the hysteresis of the deformation as the film transforms reversibly from austenite to martensite.
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...
J. jr. DOUGLAS, J.E. GUNN (1964)
Numerische Mathematik
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Z. Kowalski (1967)
Annales Polonici Mathematici
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Noel J. Walkington (2011)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Numerical approximation of the flow of liquid crystals governed by the Ericksen-Leslie equations is considered. Care is taken to develop numerical schemes which inherit the Hamiltonian structure of these equations and associated stability properties. For a large class of material parameters compactness of the discrete solutions is established which guarantees convergence.
Gilding, Brian H., Natalini, Roberto, Tesei, Alberto (1997)
Memoirs on Differential Equations and Mathematical Physics
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W. WERNER (1968)
Numerische Mathematik
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Ya-Guang Wang (2003)
Banach Center Publications
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