9 citations · 29 across the 15 of their papers we have counts for
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math.NA2022
Decay of coefficients and approximation rates in Gabor Gaussian frames
T. Chaumont-Frelet, M. Ingremeau
The aim of this note is to present a self-contained proof of the fact that a function can be approximated using a linear combination of Gaussian coherent states, with a number of t…
math.NA2022
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states
T. Chaumont-Frelet, V. Dolean, M. Ingremeau
We introduce new finite-dimensional spaces specifically designed to approximate the solutions to high-frequency Helmholtz problems with smooth variable coefficients in dimension $d…
math.SP2022
A trace formula for scattering resonances of unbalanced quantum graphs
Maxime Ingremeau
Given an unbalanced open quantum graph, we derive a formula relating sums over its scattering resonances with integrals outside a strip. We deduce lower bounds on the number of res…