STABILITY OF SEMI-LAGRANGIAN SCHEMES OF ARBITRARY ODD DEGREE UNDER CONSTANT AND VARIABLE ADVECTION SPEED - Archive ouverte HAL Access content directly
Journal Articles Mathematics of Computation Year : 2019

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.
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Dates and versions

hal-02302625 , version 1 (01-10-2019)

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Roberto Ferretti, Michel Mehrenberger. STABILITY OF SEMI-LAGRANGIAN SCHEMES OF ARBITRARY ODD DEGREE UNDER CONSTANT AND VARIABLE ADVECTION SPEED. Mathematics of Computation, In press, ⟨10.1090/mcom/3494⟩. ⟨hal-02302625⟩
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