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math.NA2026
Stability of the P_2 semi-Lagrangian scheme
Roberto Ferretti, Michel Mehrenberger
Among the various space interpolation operators used in high-order semi-Lagrangian schemes, the case of finite element interpolation presents a somewhat incomplete stability theory…
math.NA2026
Hermite Semi-Lagrangian schemes on triangular meshes for advection equations
Ali Elarif, Michel Mehrenberger, Laurent Navoret
High-order Hermite semi-Lagrangian schemes on unstructured triangular grids are proposed for advection equations, based on Bell and Argyris finite elements. Nodal semi-Lagrangian s…