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carleman equations

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Numerical analysis of coupling for a kinetic equation
Moulay Tidriri
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 6 / November 1999

Published online by Cambridge University Press:

15 August 2002, pp. 1121-1134

Print publication:

November 1999
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In this paper we introduce a coupled systems of kinetic equations forthe linearized Carleman model. We then study the existencetheory andthe asymptotic behaviour of the resulting coupled problem. In order tosolve the coupled problem we propose to use the time marching algorithm.We then develop a convergence theory for the resulting algorithm. Numericalresults confirming the theory are then presented.