Abdellatif El-Badia ; Maha Farah ; Tuong Ha-Duong ; Vincent Pavan - Résolution d'un Problème de Cauchy en EEG

arima:1858 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, September 28, 2006, Volume 5, Special Issue TAM TAM'05, november 2006 - https://doi.org/10.46298/arima.1858
Résolution d'un Problème de Cauchy en EEGArticle

Authors: Abdellatif El-Badia 1; Maha Farah 1; Tuong Ha-Duong 1; Vincent Pavan 2

  • 1 Laboratoire de Mathématiques Appliquées de Compiègne
  • 2 Laboratoire d'Electromécanique de Compiègne

This paper talks about the resolution of the Cauchy problem thats appears in the localization of epileptic sources on Electro-Encephalo-Graphy (EEG). We treat specially the problem of estimating Cauchy data over the layer of the brain, knowing only the ones on the scalp measured by EEG. As a method of resolution, we choose an alternating iteratif algorithm rst proposed by Kozlov, Mazjya and Fomin. In this paper, we study numerically this method in three dimensions. We give also some numerical examples.

Volume: Volume 5, Special Issue TAM TAM'05, november 2006
Published on: September 28, 2006
Submitted on: March 4, 2006
Keywords: Cauchy Problem, Integral Equations, Alternating Iterative Method, Electro-Encephalo- Graphy (EEG),Problème de Cauchy,Equations intégrales,Méthode alternative itérative,Electro- Encéphalo-Graphie (EEG),[MATH] Mathematics [math],[INFO] Computer Science [cs]

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