Nonlinear Stability of Semidiscrete Shock Waves. - Sylvie Benzoni-Gavage; Pierre Huot; Frederic Rousset (SIAM J. Math. Anal., 2003)

Viscous Approximation of Strong Shocks of Systems of Conservation Laws. - Frederic Rousset (SIAM J. Math. Anal., 2003)

The KdV/KP-I Limit of the Nonlinear Schrödinger Equation. - David Chiron; Frederic Rousset (SIAM J. Math. Anal., 2010)

Multi-solitons and Related Solutions for the Water-waves System. - Mei Ming; Frederic Rousset; Nikolay Tzvetkov (SIAM J. Math. Anal., 2015)

On Numerical Landau Damping for Splitting Methods Applied to the Vlasov-HMF Model. - Erwan Faou; Romain Horsin; Frederic Rousset (Found. Comput. Math., 2018)

Trigonometric integrators for quasilinear wave equations. - Ludwig Gauckler; Jianfeng Lu 001; Jeremy Louis Marzuola; Frederic Rousset; Katharina Schratz (Math. Comput., 2019)

Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces. - Alexander Ostermann; Frédéric Rousset; Katharina Schratz (CoRR, 2020)

Convergence error estimates at low regularity for time discretizations of KdV. - Frédéric Rousset; Katharina Schratz (CoRR, 2021)

On Linear Damping Around Inhomogeneous Stationary States of the Vlasov-HMF Model. - Erwan Faou; Romain Horsin; Frédéric Rousset (CoRR, 2021)

Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. - Alexander Ostermann; Frédéric Rousset; Katharina Schratz (Found. Comput. Math., 2021)

A General Framework of Low Regularity Integrators. - Frédéric Rousset; Katharina Schratz (SIAM J. Numer. Anal., 2021)

Time integrators for dispersive equations in the long wave regime. - María Cabrera Calvo; Frédéric Rousset; Katharina Schratz (Math. Comput., 2022)

Error estimates at low regularity of splitting schemes for NLS. - Alexander Ostermann; Frédéric Rousset; Katharina Schratz (Math. Comput., 2022)

Low regularity error estimates for the time integration of 2D NLS. - Lun Ji; Alexander Ostermann; Frédéric Rousset; Katharina Schratz (CoRR, 2023)

Resonances as a computational tool. - Frédéric Rousset; Katharina Schratz (CoRR, 2024)

Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation. - Lun Ji; Alexander Ostermann; Frédéric Rousset; Katharina Schratz (SIAM J. Numer. Anal., 2024)

Resonances and computations. - Yvain Bruned; Frédéric Rousset; Katharina Schratz (CoRR, 2025)