B-spline approximation of discontinuous functions defined on a closed contour in the complex plane
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2023-09-14 10:54
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517.53 (8)
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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
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(99) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322

B-spline approximation of discontinuous functions defined on a closed contour in the complex plane

DOI:https://doi.org/10.56415/basm.y2022.i2.p59
CZU: 517.53
MSC 2010: 65D07, 41A15.

Pag. 59-67

Capcelea Maria, Capcelea Titu
 
Moldova State University
 
 
Disponibil în IBN: 3 februarie 2023


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.

Cuvinte-cheie
piecewise continuous function, closed contour, complex plane, approximation, B-spline, step function, convergence