Yvonne
ALAMA BRONSARD
Doctoral Student, Applied Mathematics
yvonne.alama_bronsard[@]sorbonne-universite.fr | Office: 15-25-320
LJLL, UPMC, 4 place Jussieu, 75005, Paris, France
I obtained in 2024 an NSF Postdoctoral Fellowship Award. I am starting my postdoc at the Institut de recherche mathématique de Rennes (IRMAR) in France, and then at the MIT with Gigliola Staffilani.
I completed my PhD at the Laboratoire Jacques-Louis Lions (Sorbonne Université) in Paris, France, under the supervision of Katharina Schratz.
Before that, I received a two-years schorlarship from the Paris Graduate School of Mathematics (PGSM) to complete the master's program M1/M2 Mathématiques de la Modélisation at Sorbonne Université/UPMC.
I completed the bachelor's degree at McGill University and at l'Université de Montréal in Montréal, Canada.
My research lies in numerical methods for nonlinear evolution PDEs, with an emphasis on the design and analysis of time-integration methods for solving dispersive equations in low-regularity spaces.
Preprints and publications
Y. Alama Bronsard, Y. Bruned, G. Maierhofer, K. Schratz, Symmetric resonance based integrators and forest formulae. (preprint 2023)
article PDF, arXiv, HAL
Y. Alama Bronsard, A symmetric low-regularity integrator for the nonlinear Schrödinger equation.
IMA Journal of Numerical Analysis (2023) drad093,
article PDF, published, arXiv
Y. Alama Bronsard, Y. Bruned, K. Schratz, Approximations of dispersive PDEs in the presence of low-regularity randomness.
Found. Comput. Math. (to appear)
article PDF, arXiv
Y. Alama Bronsard, Y. Bruned, K. Schratz, Low regularity integrators via decorated trees.
article PDF, arXiv (preprint 2022)
Y. Alama Bronsard, Error analysis of a class of semi-discrete schemes for solving the Gross-Pitaevskii equation at low regularity.
J. Comp. App. Math, Volume 418, (2023), p. 114632, 0377-0427.
article PDF, published, arXiv
Y. Alama Bronsard, J-P Lessard, Traveling wave oscillatory patterns in a signed Kuramoto-Sivashinsky equation with absorption.
J. Comp. App. Math, Volume 372, 112608, July 2020
published
CV & PhD manuscript
Full CV.
PhD manuscript defended May 3rd 2024
Upcoming Talks and Conferences
Probabilistic and deterministic aspects of dispersive equations, October 7-11 2024, EPFL Lausanne, Switzerland
Congrès de la SMF, 2-6 June 2025, Dijon, France
Teaching
I gave tutorials for the final year undergraduate students at Sorbonne Université in numerical analysis. The class is entitled : Analyse Numérique- LU3MA232.
Semester teaching: Fall 2022, Fall 2023
