3 papers
math.NA2026
Certification of PGD reduced-order models with separated spatial variables
Jean Ruel, Ludovic Chamoin, Frédéric Legoll +1
Model order reduction techniques have become an attractive approach for obtaining fast approximations of multidimensional problems. Besides computational efficiency, ensuring the r…
math.FA2026
Three short tales on the parity operator
Robert Fulsche
In this paper, we discuss three short topics related to the parity operator and his role in quantum harmonic analysis. We derive results for the Fredholm index of even and odd oper…
math.AP2025
Convergence of two-scale expansions for elastic heterogeneous plates
Virginie Ehrlacher, Arthur Lebée, Frédéric Legoll +1
The aim of this article is to prove strong convergence results on the difference between the solution to highly oscillatory problems posed in thin domains and its two-scale expansi…