On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation. (21st March 2013)

• Record Type: Journal Article
• Authors: Poghosyan, Arnak
• Other Names: Safouhi Hassan Academic Editor.
• Is Part Of: Advances in numerical analysis. Volume 2013(2013)
• Publication Date: 2013-03-21
• Subjects: Numerical analysis -- Periodicals; Numerical analysis; Periodicals; Electronic journals; 518
• DOI: 10.1155/2013/315748
• Languages: English
• ISSNs: 1687-9562

Abstract

Abstract : We consider the convergence acceleration of the Krylov-Lanczos interpolation by rational correction functions and investigate convergence of the resultant parametric rational-trigonometric-polynomial interpolation. Exact constants of asymptotic errors are obtained in the regions away from discontinuities, and fast convergence of the rational-trigonometric-polynomial interpolation compared to the Krylov-Lanczos interpolation is observed. Results of numerical experiments confirm theoretical estimates and show how the parameters of the interpolations can be determined in practice.