Global attractor of coupled difference equations and applications to Lotka-Volterra systems.
Pao, C.V. (2005)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “On the Cauchy problem of a quasilinear degenerate parabolic equation.”
Global attractor of coupled difference equations and applications to Lotka-Volterra systems.
Numerical simulation of a point-source initiated flame ball with heat losses
Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Continuous dependence on obstacles in double global obstacle problems.
Olek, Anna, Szczepania, Kuba (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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The numerical convergence of the Landau-Lifshitz equations and its simulation.
Zhong, Penghong, Wang, Shu, Wang, Ke, Bai, Yiping (2010)
Discrete Dynamics in Nature and Society
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A positive solution for singular discrete boundary value problems with sign-changing nonlinearities.
Lü, Haishen, O'Regan, Donal, Agarwal, Ravi P. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Variant of Lax--Milgram lemma for Banach spaces.
Doboş, Gheorghe (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation.
Liang, Zongqi (2009)
Discrete Dynamics in Nature and Society
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Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants
John W. Barrett, Linda El Alaoui (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a system of degenerate parabolic equations modelling a thin film, consisting of two layers of immiscible Newtonian liquids, on a solid horizontal substrate. In addition, the model includes the presence of insoluble surfactants on both the free liquid-liquid and liquid-air interfaces, and the presence of both attractive and repulsive van der Waals forces in terms of the heights of the two layers. We show that this system formally satisfies a Lyapunov structure, and a...
Existence for a class of discrete hyperbolic problems.
Luca, Rodica (2006)
Advances in Difference Equations [electronic only]
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Maxima and minima of stationary random sequences under a local dependence restriction.
Graça Temido, M. (1999)
Portugaliae Mathematica
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