This short note reviews how algebraic properties of subdivision symbols are linked to the analytic/geometric properties of the corresponding schemes with particular emphasis on the reproduction capability. Also, with the aim at underlining the advantage of symbols manipulation, it shows, with an example in the Hermite case, how algebraic conditions for polynomial reproduction translate into a very simple algorithm.
Algebraic manipulations of symbols / Costanza Conti. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - STAMPA. - 76:(2018), pp. 97-103.
Algebraic manipulations of symbols
Costanza Conti
2018
Abstract
This short note reviews how algebraic properties of subdivision symbols are linked to the analytic/geometric properties of the corresponding schemes with particular emphasis on the reproduction capability. Also, with the aim at underlining the advantage of symbols manipulation, it shows, with an example in the Hermite case, how algebraic conditions for polynomial reproduction translate into a very simple algorithm.File in questo prodotto:
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