Numerical analysis of coupling for a kinetic equation
Department of Mathematics, Iowa State University,
Ames, IA 50011-2064, USA. firstname.lastname@example.org.
Revised: 4 March 1999
In this paper we introduce a coupled systems of kinetic equations for the linearized Carleman model. We then study the existence theory and the asymptotic behaviour of the resulting coupled problem. In order to solve the coupled problem we propose to use the time marching algorithm. We then develop a convergence theory for the resulting algorithm. Numerical results confirming the theory are then presented.
Mathematics Subject Classification: 35Q35 / 35L50 / 65M12 / 82B40 / 76P05
Key words: Asymptotic behaviour / Carleman equations / coupling of kinetic equations / time marching algorithm.
© EDP Sciences, SMAI, 1999