Reduction of the Gibbs Phenomenon via Interpolation Using Chebyshev Polynomials, Filtering and Chebyshev-Pade' Approximations

Author

Rob-Roy L. Mace

Date of Award

2005

Degree Name

Mathematics

College

College of Science

Type of Degree

M.A.

Document Type

Thesis

First Advisor

Scott A. Sarra

Second Advisor

Bonita A. Lawrence

Third Advisor

Ari Aluthge

Abstract

In this manuscript, we will examine several methods of interpolation, with an emphasis on Chebyshev polynomials and the removal of the Gibbs Phenomenon. Included as an appendix are the author’s Mat- Lab implementations of Lagrange, Chebyshev, and rational interpolation methods.

Subject(s)

Interpolation.

Chebyshev polynomials.

Gibbs phenomenon.

Recommended Citation

Mace, Rob-Roy L., "Reduction of the Gibbs Phenomenon via Interpolation Using Chebyshev Polynomials, Filtering and Chebyshev-Pade' Approximations" (2005). Theses, Dissertations and Capstones. 717.
https://mds.marshall.edu/etd/717