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Raman laser: mathematical and numerical analysis of a model
Published online by Cambridge University Press: 15 June 2004
Abstract
In this paper we study a discrete Raman laser amplification model given as a Lotka-Volterra system. We show that in an ideal situation, the equations can be written as a Poisson system with boundary conditions using a global change of coordinates. We address the questions of existence and uniqueness of a solution. We deduce numerical schemes for the approximation of the solution that have good stability.
- Type
- Research Article
- Information
- ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 3 , May 2004 , pp. 457 - 475
- Copyright
- © EDP Sciences, SMAI, 2004
References
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