Monique Dauge (born 1956) is a French mathematician and numerical analyst specializing in

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...

spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a result o ...

, and applications to

scientific computing Computational science, also known as scientific computing or scientific computation (SC), is a field in mathematics that uses advanced computing capabilities to understand and solve complex problems. It is an area of science that spans many disc ...

. She is an emeritus senior researcher at the French National Centre for Scientific Research (CNRS), associated with the University of Rennes 1.

Education and career

Dauge was born on 6 October 1956 in

Nantes Nantes (, , ; Gallo: or ; ) is a city in Loire-Atlantique on the Loire, from the Atlantic coast. The city is the sixth largest in France, with a population of 314,138 in Nantes proper and a metropolitan area of nearly 1 million inhabita ...

, and earned a diploma and

agrégation In France, the ''agrégation'' () is a competitive examination for civil service in the French public education system. Candidates for the examination, or ''agrégatifs'', become ''agrégés'' once they are admitted to the position of ''professe ...

in 1978 at the

University of Nantes The University of Nantes (french: Université de Nantes) is a public university located in the city of Nantes, France. In addition to the several campuses scattered in the city of Nantes, there are two satellite campuses located in Saint-Nazaire a ...

. In 1980 she defended a doctoral thesis at Nantes, ''Etude de l’opérateur de Stokes dans un polygone : régularité, singularités et théorème d’indice'', and in 1986 she completed her

habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...

there with the habilitation thesis ''Régularités et singularités des solutions de problèmes aux limites elliptiques sur des domaines singuliers de type à coins'', supervised by Lai The Pham. Meanwhile, she became junior researcher for the CNRS in 1980, and researcher in 1984, both associated with the University of Nantes. In 1996 she became a director of research for the CNRS, and moved to the University of Rennes. She retired as an emeritus senior researcher in 2021.

Selected publications

Dauge is the author of ''Elliptic boundary value problems on corner domains: Smoothness and asymptotics of solutions'' (Lecture Notes in Mathematics 1341, Springer, 1988). She is the coauthor of ''Spectral methods for axisymmetric domains: Numerical algorithms and tests'' (with Christine Bernardi and Yvon Maday, with contributions from Mejdi Azaïez, Gauthier-Villars, 1999). Her many research publications include the highly cited paper "Vector potentials in three‐dimensional non‐smooth domains" (with Chérif Amrouche, Christine Bernardi, and

Vivette Girault Vivette Girault (born 1943) is a French mathematician, whose research expertise lies in numerical analysis, finite element methods and computational fluid dynamics. She has been affiliated with Pierre and Marie Curie University. Girault, who was b ...

, ''Mathematical Methods in the Applied Sciences'', 1998).

References

External links

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* {{DEFAULTSORT:Dauge, Monique 1956 births Living people French mathematicians French women mathematicians Numerical analysts University of Nantes alumni Research directors of the French National Centre for Scientific Research People from Nantes