STABILITY OF SEMI-LAGRANGIAN SCHEMES OF ARBITRARY ODD DEGREE UNDER CONSTANT AND VARIABLE ADVECTION SPEED
Abstract
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.
Origin : Files produced by the author(s)
Loading...