B-SPLINE APPROXIMATION OF DISCONTINUOUS FUNCTIONS DEFINED ON A CLOSED CONTOUR IN THE COMPLEX PLANE

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dc.contributor.authorCapcelea, Maria
dc.contributor.authorCapcelea, Titu
dc.date.accessioned2023-07-07T10:34:35Z
dc.date.available2023-07-07T10:34:35Z
dc.date.issued2022
dc.description.abstractIn 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.en
dc.identifier.citationCAPCELEA, 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 1024-7696en
dc.identifier.issn1024-7696
dc.identifier.urihttps://msuir.usm.md/handle/123456789/10872
dc.identifier.urihttps://doi.org/10.56415/basm.y2022.i2.p59
dc.language.isoenen
dc.subjectpiecewise continuous functionen
dc.subjectclosed contouren
dc.subjectcomplex planeen
dc.subjectapproximationen
dc.subjectB-splineen
dc.subjectstep functionen
dc.subjectconvergenceen
dc.titleB-SPLINE APPROXIMATION OF DISCONTINUOUS FUNCTIONS DEFINED ON A CLOSED CONTOUR IN THE COMPLEX PLANEen
dc.typeArticleen

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