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This article is cited in 1 scientific paper (total in 1 paper)
B-spline approximation of discontinuous functions defined on a closed contour in the complex plane
Maria Capcelea, Titu Capcelea Moldova State University
Abstract:
In this paper we propose an efficient algorithm for approximating piecewise continuous functions, defined on a closed contour $\Gamma $ in the complex plane. The function, defined numerically on a finite set of points of $\Gamma $, is approximated by a linear combination of B-spline functions and Heaviside step functions, defined on $\Gamma $. Theoretical and practical aspects of the convergence of the algorithm are presented, including the vicinity of the discontinuity points.
Keywords and phrases:
piecewise continuous function, closed contour, complex plane, approximation, B-spline, step function, convergence.
Received: 15.07.2022
Citation:
Maria Capcelea, Titu Capcelea, “B-spline approximation of discontinuous functions defined on a closed contour in the complex plane”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 2, 59–67
Linking options:
https://www.mathnet.ru/eng/basm572 https://www.mathnet.ru/eng/basm/y2022/i2/p59
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Abstract page: | 300 | Full-text PDF : | 45 | References: | 11 |
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