Normal form and long time analysis of splitting schemes for the linear Schrödinger equation with small potential. - Guillaume Dujardin; Erwan Faou (Numerische Mathematik, 2007)

High order linearly implicit methods for evolution equations: How to solve an ODE by inverting only linear systems. - Guillaume Dujardin; Ingrid Lacroix-Violet (CoRR, 2019)

Exponential integrators for the stochastic Manakov equation. - André Berg; David Cohen; Guillaume Dujardin (CoRR, 2020)

Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations. - Guillaume Dujardin; Frédéric Hérau; Pauline Lafitte (Numerische Mathematik, 2020)

Lie-Trotter Splitting for the Nonlinear Stochastic Manakov System. - André Berg; David Cohen; Guillaume Dujardin (J. Sci. Comput., 2021)

High order linearly implicit methods for semilinear evolution PDEs. - Guillaume Dujardin; Ingrid Lacroix-Violet (CoRR, 2023)

Â-and Î-stability of collocation Runge-Kutta methods. - Guillaume Dujardin; Ingrid Lacroix-Violet (CoRR, 2023)

Uniform estimates for a fully discrete scheme integrating the linear heat equation on a bounded interval with pure Neumann boundary conditions. - Guillaume Dujardin; Pauline Lafitte (CoRR, 2023)

Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation. - Quentin Chauleur; Radu Chicireanu; Guillaume Dujardin; Jean-Claude Garreau; Adam Rançon (CoRR, 2024)

Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation. - André de Laire; Guillaume Dujardin; Salvador López-Martínez (J. Nonlinear Sci., 2024)

A numerical study of vortex nucleation in 2D rotating Bose-Einstein condensates. - Guillaume Dujardin; Ingrid Lacroix-Violet; Anthony Nahas (Math. Comput. Simul., 2025)