Abstract
Une methode d'elements finis de type Galerkin continue pour l'integration des problemes initiaux pour les equations aux derivees ordinaires est analysee. Des estimations d'erreur quasi-optimales de type a priori et a posteriori sont demontrees. Les resultats sont employes dans la construction d'une theorie rigoureuse et robuste pour le controle global d'erreur. La qualite du controle d'erreur est exposee dans une serie d'experiences numeriques
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