# Numerical analysis of coupling for a kinetic equation

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 6, page 1121-1134
- ISSN: 0764-583X

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topTidriri, Moulay. "Numerical analysis of coupling for a kinetic equation." ESAIM: Mathematical Modelling and Numerical Analysis 33.6 (2010): 1121-1134. <http://eudml.org/doc/197583>.

@article{Tidriri2010,

abstract = {
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.
},

author = {Tidriri, Moulay},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Asymptotic behaviour; Carleman equations; coupling of
kinetic equations; time marching algorithm.; linearized Carleman model; existence; asymptotic behaviour; time-marching algorithm; convergence},

language = {eng},

month = {3},

number = {6},

pages = {1121-1134},

publisher = {EDP Sciences},

title = {Numerical analysis of coupling for a kinetic equation},

url = {http://eudml.org/doc/197583},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Tidriri, Moulay

TI - Numerical analysis of coupling for a kinetic equation

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 6

SP - 1121

EP - 1134

AB -
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.

LA - eng

KW - Asymptotic behaviour; Carleman equations; coupling of
kinetic equations; time marching algorithm.; linearized Carleman model; existence; asymptotic behaviour; time-marching algorithm; convergence

UR - http://eudml.org/doc/197583

ER -

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