1 citations · 1 across the 4 of their papers we have counts for
7 papers
Splitting methods for Intermediate Long Wave and perturbed Benjamin--Ono models
Yvonne Alama Bronsard, Clémentine Courtès, Benjamin Melinand
Recently, novel integrability techniques, and most notably Birkhoff coordinates followed by an explicit formula, have been introduced to solve the Benjamin--Ono (BO) equation, lead…
On the convergence of explicit formulas for solutions to the Benjamin-Ono and continuum Calogero-Moser equations
Yvonne Alama Bronsard, Thierry Laurens
By developing discrete counterparts to recent advances in nonlinear integrability, and in particular to the discovery of explicit formulas, we design and analyze fully-discrete app…
Spectrally accurate fully discrete schemes for some nonlocal and nonlinear integrable PDEs via explicit formulas
Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault
We construct fully-discrete schemes for the Benjamin-Ono, Calogero-Sutherland DNLS, and cubic Szegő equations on the torus, which are with $\textit{spectra…
Symmetric resonance based integrators and forest formulae
Yvonne Alama Bronsard, Yvain Bruned, Georg Maierhofer +1
In the present work we introduce a unified framework that allows for the very first systematic construction of symmetric resonance-based integrators to approximate a wide class of…
A symmetric low-regularity integrator for the nonlinear Schrödinger equation
Yvonne Alama Bronsard
We introduce and analyze a symmetric low-regularity scheme for the nonlinear Schrödinger (NLS) equation beyond classical Fourier-based techniques. We show fractional convergence of…
Low regularity integrators via decorated trees
Yvonne Alama Bronsard, Yvain Bruned, Katharina Schratz
We introduce a general framework of low regularity integrators which allows us to approximate the time dynamics of a large class of equations, including parabolic and hyperbolic pr…