Article Dans Une Revue Numerical Methods for Partial Differential Equations Année : 2003

Time Discretizations for Maxwell-Bloch Equations

Résumé

In this article we derive new time discretizations for the numerical simulation of Maxwell-Bloch equations. These discretizations decouple the equations, thus leading to improved efficiency. This approach may be combined with the fulfilment of physical properties, such as positiveness properties, which are not accounted for by classical schemes. Our time discretizations are moreover proved to be nonlinearly stable.

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hal-00319990 , version 1 (15-06-2021)

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Brigitte Bidégaray. Time Discretizations for Maxwell-Bloch Equations. Numerical Methods for Partial Differential Equations, 2003, 19 (3), pp.284-300. ⟨10.1002/num.10046⟩. ⟨hal-00319990⟩
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