Critical length: an alternative approach

Carolina Vittoria Beccari (1) , Giulio Casciola (1) , Marie-Laurence Mazure (2)

1 Dipartimento di Matematica [Bologna]
2 CVGI - Calcul des Variations, Géométrie, Image

We provide a numerical method to determine the critical lengths of linear differential operators with constant real coefficients. The need for such a procedure arises when the orders increase. The interest of this article is clearly on the practical side since knowing the critical lengths permits an optimal use of the associated kernels. The efficiency of the procedure is due to its being based on crucial features of Extended Chebyshev spaces on closed bounded intervals.

Domaines: Mathématiques [math]

Carolina Vittoria Beccari, Giulio Casciola, Marie-Laurence Mazure. Critical length: an alternative approach. Journal of Computational and Applied Mathematics, 2020, 370, pp.112603. ⟨10.1016/j.cam.2019.112603⟩. ⟨hal-02073982⟩