Blar i Department of Mathematics på forfatter "Verdier, Olivier"
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Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds
Munthe-Kaas, Hans Zanna; Stern, Ari; Verdier, Olivier (Journal article; Peer reviewed, 2020)Motivated by numerical integration on manifolds, we relate the algebraic properties of invariant connections to their geometric properties. Using this perspective, we generalize some classical results of Cartan and Nomizu ... -
A numerical study of nonlinear dispersive wave models with SpecTraVVave
Kalisch, Henrik; Moldabayev, Daulet; Verdier, Olivier (Peer reviewed; Journal article, 2017-03-02)In nonlinear dispersive evolution equations, the competing effects of nonlinearity and dispersion make a number of interesting phenomena possible. In the current work, the focus is on the numerical approximation of ...