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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Displaying similar documents to “C-N difference schemes for dissipative symmetric regularized long wave equations with damping term.”
A linear difference scheme for dissipative symmetric regularized long wave equations with damping term.
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Two conservative difference schemes for the generalized Rosenau equation.
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Boundary Value Problems [electronic only]
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Dynamical properties for a relaxation scheme applied to a weakly damped non local nonlinear Schrödinger equation.
Goubet, Olivier, Hussein, Manal (2009)
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.
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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.
Convergence of Fourier spectral method for resonant long-short nonlinear wave interaction
Abdur Rashid, Shakaib Akram (2010)
Applications of Mathematics
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In this paper, the evolution equations with nonlinear term describing the resonance interaction between the long wave and the short wave are studied. The semi-discrete and fully discrete Crank-Nicholson Fourier spectral schemes are given. An energy estimation method is used to obtain error estimates for the approximate solutions. The numerical results obtained are compared with exact solution and found to be in good agreement.
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.