On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation

Author

Poghosyan, Arnak

Source

Advances in Numerical Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-03-21

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Poghosyan, Arnak. 2013. On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation. Advances in Numerical Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-462832

Modern Language Association (MLA)

Poghosyan, Arnak. On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation. Advances in Numerical Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-462832

American Medical Association (AMA)

Poghosyan, Arnak. On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation. Advances in Numerical Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-462832

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-462832