RO  EN
IMI/Publicaţii/BASM/Ediţii/BASM n2(99), 2022/

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

Authors: Maria Capcelea, Titu Capcelea

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.

Moldova State University
E-mail: ,

DOI

https://doi.org/10.56415/basm.y2022.i2.p59

Fulltext

Adobe PDF document0.19 Mb