38 citations · 99 across the 16 of their papers we have counts for
4 papers · 1 filter
A numerical study of vortex nucleation in 2D rotating Bose-Einstein condensates
Guillaume Dujardin, Ingrid Lacroix-Violet, Anthony Nahas
This article introduces a new numerical method for the minimization under constraints of a discrete energy modeling multicomponents rotating Bose-Einstein condensates in the regime…
Lie-Trotter Splitting for the Nonlinear Stochastic Manakov System
André Berg, David Cohen, Guillaume Dujardin
This article analyses the convergence of the Lie-Trotter splitting scheme for the stochastic Manakov equation, a system arising in the study of pulse propagation in randomly birefr…
High order linearly implicit methods for evolution equations
Guillaume Dujardin, Ingrid Lacroix-Violet
This paper introduces a new class of numerical methods for the time integration of evolution equations set as Cauchy problems of ODEs or PDEs. The systematic design of these method…
Asymptotic behavior of splitting schemes involving time-subcycling techniques
Guillaume Dujardin, Pauline Lafitte
This paper deals with the numerical integration of well-posed multiscale systems of ODEs or evolutionary PDEs. As these systems appear naturally in engineering problems, time-subcy…