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Thèmes de recherche

EDP, Equation hyperbolique et elliptique, Schémas numériques, Fonctions généralisées, Opérateurs intégraux.


Publications (5)


Article dans des revues


Obtaining shock solutions via Maslov's theory and Colombeau's algebra for conservation laws with analytical coefficients. Séverine Andouze-Bernard, Alex Méril, P. Rodriguez-Bermudez, B. Valino-Alonso. Rodriguez-Bermudez, B. Valino-Alonso. Obtaining shock solutions via Maslov's theory and Colombeau's algebra for conservation laws with analytical coefficients. Novi Sad Journal of Mathematics, 2012, 42 (1), pp.95-116. ⟨hal-00771405⟩
Some PDEs problems in generalized Sobolev algebras. Séverine Andouze-Bernard, Silvère P. Nuiro. Nuiro. Some PDEs problems in generalized Sobolev algebras. Journal of Mathematical Analysis and Applications, Elsevier, 2012, 388, pp.647-658. ⟨10.1016/j.jmaa.2011.07.063⟩. ⟨hal-00685042⟩


Article dans des revues


A Multilevel method for solving the Helmholtz equation: The analysis of the one-dimensional case. Pascal POULLET, Séverine Andouze-Bernard, Olivier Goubet. A Multilevel method for solving the Helmholtz equation: The analysis of the one-dimensional case. International Journal of Numerical Analysis and Modeling, Institute for Scientific Computing and Information, 2011, 8 (3), pp.365. ⟨hal-00601461⟩


Article dans des revues


Composition and exponential of compactly supported generalized integral operators. Séverine Andouze-Bernard, Jean-François Colombeau, Antoine Delcroix. Composition and exponential of compactly supported generalized integral operators. Integral Transforms and Special Functions, Taylor & Francis, 2006, 17 (2-3), pp.93-99. ⟨hal-01530753⟩
Generalized Integral Operators and Applications. Séverine Andouze-Bernard, Jean-François Colombeau, Antoine Delcroix. Generalized Integral Operators and Applications. Mathematical Proceedings, Cambridge University Press (CUP), 2006, 141 (3), pp.521-546. ⟨hal-01530755⟩

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Séverine ANDOUZE-BERNARD (MCF HDR)
Mathématiques
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RC01