Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
359 3 |
Ultima descărcare din IBN: 2023-09-14 10:54 |
Căutarea după subiecte similare conform CZU |
517.53 (8) |
Analiză (301) |
SM ISO690:2012 CAPCELEA, Maria, CAPCELEA, Titu. B-spline approximation of discontinuous functions defined on a closed contour in the complex plane. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2022, nr. 2(99), pp. 59-67. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2022.i2.p59 |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(99) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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DOI:https://doi.org/10.56415/basm.y2022.i2.p59 | ||||||
CZU: 517.53 | ||||||
MSC 2010: 65D07, 41A15. | ||||||
Pag. 59-67 | ||||||
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Rezumat | ||||||
In this paper we propose an efficient algorithm for approximating piecewise continuous functions, defined on a closed contour Г in the complex plane. The function, defined numerically on a finite set of points of Г, is approximated by a linear combination of B-spline functions and Heaviside step functions, defined on Г. Theoretical and practical aspects of the convergence of the algorithm are presented, including the vicinity of the discontinuity points. |
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Cuvinte-cheie piecewise continuous function, closed contour, complex plane, approximation, B-spline, step function, convergence |
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