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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Displaying similar documents to “Dynamical properties for a relaxation scheme applied to a weakly damped non local nonlinear Schrödinger equation.”
Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation.
A new conservative difference scheme for the general Rosenau-RLW equation.
Zuo, Jin-Ming, Zhang, Yao-Ming, Zhang, Tian-De, Chang, Feng (2010)
Boundary Value Problems [electronic only]
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Two conservative difference schemes for the generalized Rosenau equation.
Hu, Jinsong, Zheng, Kelong (2010)
Boundary Value Problems [electronic only]
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C-N difference schemes for dissipative symmetric regularized long wave equations with damping term.
Hu, Jinsong, Hu, Bing, Xu, Youcai (2011)
Mathematical Problems in Engineering
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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...
A linear difference scheme for dissipative symmetric regularized long wave equations with damping term.
Hu, Jinsong, Xu, Youcai, Hu, Bing (2010)
Boundary Value Problems [electronic only]
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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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Multiple solutions for a class of -Laplacian systems.
Fu, Yongqiang, Zhang, Xia (2009)
Journal of Inequalities and Applications [electronic only]
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Existence result for a class of nonlinear elliptic systems on punctured unbounded domains.
Colin, Fabrice (2010)
Boundary Value Problems [electronic only]
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Finite volume methods for the valuation of American options
Julien Berton, Robert Eymard (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the use of finite volume methods for the approximation of a parabolic variational inequality arising in financial mathematics. We show, under some regularity conditions, the convergence of the upwind implicit finite volume scheme to a weak solution of the variational inequality in a bounded domain. Some results, obtained in comparison with other methods on two dimensional cases, show that finite volume schemes can be accurate and efficient.
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.