Capcelea, MariaCapcelea, Titu2023-07-072023-07-072022CAPCELEA, Maria, CAPCELEA, Titu. B-spline approximation of discontinuous functions defined on a closed contour in the complex plane. În: Buletinul Academiei de Științe a Moldovei. Matematica. 2022, nr.2(99), pp. 59-67. ISSN 1024-76961024-7696https://msuir.usm.md/handle/123456789/10872https://doi.org/10.56415/basm.y2022.i2.p59In this paper we propose an efficient algorithm for approximating piecewise continuous functions, defined on a closed contour Γ in the complex plane. The function, defined numerically on a finite set of points of Γ, is approximated by a linear combination of B-spline functions and Heaviside step functions, defined on Γ. Theoretical and practical aspects of the convergence of the algorithm are presented, including the vicinity of the discontinuity points.enpiecewise continuous functionclosed contourcomplex planeapproximationB-splinestep functionconvergenceArticle