32 citations
- Laboratoire de Physique des PlasmasFR3 papers
- Laboratoire Paul PainlevéFR3 papers
- Université de LilleFR3 papers
- Institut Élie Cartan de LorraineFR2 papers
- Université de LorraineFR2 papers
- Centre d'Excellence en Technologies de l'Information et de la CommunicationBE1 paper
- Delft University of TechnologyNL1 paper
- Ecolyse (United States)US1 paper
- Ford (Germany)DE1 paper
- Fundació CTM Centre TecnològicES1 paper
- Ghent UniversityBE1 paper
- IMDEA MaterialsES1 paper
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math.NA2024
Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
Quentin Chauleur, Radu Chicireanu, Guillaume Dujardin +2
We consider the Gross-Pitaevskii equation with a confining ring potential with a Gaussian profile. By introducing a rotating sinusoidal perturbation, we numerically highlight the n…
math.NA2023
Â-and Î-stability of collocation Runge-Kutta methods
Guillaume Dujardin, Ingrid Lacroix-Violet
This paper deals with stability of classical Runge-Kutta collocation methods. When such methods are embedded in linearly implicit methods as developed in [12] and used in [13] for…
math.NA2023★ 1 cited
High order linearly implicit methods for semilinear evolution PDEs
Guillaume Dujardin, Ingrid Lacroix-Violet
This paper considers the numerical integration of semilinear evolution PDEs using the high order linearly implicit methods developped in a previous paper in the ODE setting. These…