3-7 July 2023
University of Zululand
Africa/Johannesburg timezone
The Proceedings of SAIP2023 Published: 20 December 2023

Sinc related Basis functions with predetermined nodes

6 Jul 2023, 15:40
2h
University of Zululand

University of Zululand

Poster Presentation Track G - Theoretical and Computational Physics Poster Session 2

Speaker

Mrs Obiageli Lovenda Ezenwachukwu (University of South Africa(UNISA))

Description

The sinc function is defined by

$$ sinc(x) =\frac{sin πx}{nx}. $$ with $$ sinc(0) = 1 $$ and $$ sinc(i) = 0 $$ for $$ i \neq 0. $$ Defining $$ s_{i}^{(h)} sinc \frac {(x-i)}{h} $$ gives a set of interpolating functions with nodes $ih$. However in some instances it is more desirable to have such a set of sinc related functions with nodes that can be defined freely. In this contribution we show how this can be done by using cubic splines.

Level for award;(Hons, MSc, PhD, N/A)?

N/A

Apply to be considered for a student ; award (Yes / No)? No

Primary author

Mrs Obiageli Lovenda Ezenwachukwu (University of South Africa(UNISA))

Co-author

Prof. Moritz Braun (UNISA)

Presentation Materials

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