STABILITY OF SEMI-LAGRANGIAN SCHEMES OF ARBITRARY ODD DEGREE UNDER CONSTANT AND VARIABLE ADVECTION SPEED
Résumé
The equivalence between semi-Lagrangian and Lagrange-Galerkin schemes has been proved in [9, 10] for the case of centered Lagrange interpolation of odd degree p ≤ 13. We generalize this result to an arbitrary odd degree, for both the case of constant-and variable-coefficient equations. In addition, we prove that the same holds for spline interpolations.
Domaines
Analyse numérique [math.NA]Origine | Fichiers produits par l'(les) auteur(s) |
---|
Loading...