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.
Critical length: An alternative approach / Beccari, Carolina Vittoria; Casciola, Giulio; Mazure, Marie-Laurence. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 370:(2020), pp. 112603.1-112603.16. [10.1016/j.cam.2019.112603]
Critical length: An alternative approach
Beccari, Carolina Vittoria
;Casciola, Giulio;
2020
Abstract
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.| File | Dimensione | Formato | |
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CGML_CL_R.pdf
Open Access dal 12/05/2021
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