High order semi Lagrangian schemes

Michel Mehrenberger (1, 2)

1 CALVI - Scientific computation and visualization
2 IRMA - Institut de Recherche Mathématique Avancée

We present some results concerning high order semi-Lagrangian schemes in the 1Dx1D phase space. In the uniform case, we consider the stability of several reconstructions : B-splines, Lagrange interpolation and interpolets. In the adaptive case, we give first numerical results concerning a Hermite reconstruction.

Domaines: Mathématiques [math]

Michel Mehrenberger. High order semi Lagrangian schemes. Atelier du GdR CHANT sur les méthodes numériques pour les équations cinétiques, hyperboliques et de Hamilton-Jacobi, Nov 2005, Strasbourg, France. , 2005. ⟨hal-01298992⟩