A Binary Canon
Allan Joseph Champneys Cunningham
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Allan Joseph Champneys Cunningham
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M. C. Hess (2006)
Visual Mathematics
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Vladimír Vand (1948)
Časopis pro pěstování matematiky a fysiky
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Giovanni Naldi, Lorenzo Pareschi, Giuseppe Toscani (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper we introduce numerical schemes for a one-dimensional kinetic model of the Boltzmann equation with dissipative collisions and variable coefficient of restitution. In particular, we study the numerical passage of the Boltzmann equation with singular kernel to nonlinear friction equations in the so-called quasi elastic limit. To this aim we introduce a Fourier spectral method for the Boltzmann equation [25, 26] and show that the kernel modes that define the spectral method...
Cédric Villani (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We show that Boltzmann's collision operator can be written explicitly in divergence and double divergence forms. These conservative formulations may be of interest for both theoretical and numerical purposes. We give an application to the asymptotics of grazing collisions.
Attila Bérczes, Jan-Hendrik Evertse, Kálmán Győry (2007)
Acta Arithmetica
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J. Dudek (1982)
Colloquium Mathematicae
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Martínez-Legaz, Juan-Enrique, Singer, Ivan (1995)
Journal of Convex Analysis
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Dario Benedetto, Mario Pulvirenti (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.