3 papers
math.NA2025
On the relation between Galerkin approximations and canonical best-approximations of solutions to some non-linear Schrödinger equations
Muhammad Hassan, Yvon Maday, Yipeng Wang
In this paper, we establish a superconvergence property of Galerkin approximations to some non-linear Schrödinger equations of Gross-Pitaevskii type. More precisely, denoting by $u…
q-bio.QM2025
Unsupervised detection and fitness estimation of emerging SARS-CoV-2 variants. Application to wastewater samples (ANRS0160)
Alexandra Lefebvre, Vincent Maréchal, Arnaud Gloaguen +3
Repeated waves of emerging variants during the SARS-CoV-2 pandemics have highlighted the urge of collecting longitudinal genomic data and developing statistical methods based on ti…
math.FA2012
Non-consistent approximations of self-adjoint eigenproblems: Application to the supercell method
Eric Cancès, Virginie Ehrlacher, Yvon Maday
In this article, we introduce a general theoretical framework to analyze non-consistent approximations of the discrete eigenmodes of a self-adjoint operator. We focus in particular…