Geodesic
B-spline approximation of discontinuous functions defined on a closed contour in the complex plane
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2022), pp. 59-67

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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. 
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     author = {Maria Capcelea and Titu Capcelea},
     title = {B-spline approximation of discontinuous functions defined on a closed contour in the complex plane},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {59--67},
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Maria Capcelea; Titu Capcelea. B-spline approximation of discontinuous functions defined on a closed contour in the complex plane. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2022), pp. 59-67. http://geodesic.mathdoc.fr/item/BASM_2022_2_a3/