5 papers
Epidemiological Forecasting with Model Reduction of Compartmental Models. Application to the COVID-19 pandemic
Athmane Bakhta, Thomas Boiveau, Yvon Maday +1
We propose a forecasting method for predicting epidemiological health series on a two-week horizon at the regional and interregional resolution. The approach is based on model orde…
Compression of Wannier functions into Gaussian-type orbitals
Bakhta Athmane, Cancès Eric, Cazeaux Paul +2
We propose a greedy algorithm for the compression of Wannier functions into Gaussian-polynomials orbitals. The so-obtained compressed Wannier functions can be stored in a very comp…
Numerical reconstruction of the first band(s) in an inverse Hill's problem
Athmane Bakhta, Virginie Ehrlacher, David Gontier
This paper concerns an inverse band structure problem for one dimensional periodic Schrödinger operators (Hill's operators). Our goal is to find a potential for the Hill's operator…
Cross-diffusion systems with non-zero-flux boundary conditions on a moving domain
Athmane Bakhta, Virginie Ehrlacher
We propose and analyze a one-dimensional multi-species cross-diffusion system with non-zero-flux boundary conditions on a moving domain, motivated by the mod- eling of a Physical V…
Global existence of bounded weak solutions to degenerate cross-diffusion equations in moving domain
Athmane Bakhta, Virginie Ehrlacher
The aim of this note is to present preliminary existence results for a system of cross-diffusion equations defined on a domain with moving boundaries, which model the evolution of…