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Thesis

Algorithms for trigonometric polynomial and rational approximation

Abstract:

This thesis presents new numerical algorithms for approximating functions by trigonometric polynomials and trigonometric rational functions. We begin by reviewing trigonometric polynomial interpolation and the barycentric formula for trigonometric polynomial interpolation in Chapter 1. Another feature of this chapter is the use of the complex plane, contour integrals and phase portraits for visualising various properties and relationships between periodic functions and their Laurent and tr...

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Division:
MPLS
Department:
Mathematical Institute
Department:
Mathematical Institute
Role:
Author

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Role:
Supervisor
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Name:
European Research Council
Grant:
FP7/20072013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
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UUID:
uuid:23a36d72-0299-4c63-98e8-d0aa088c062e
Deposit date:
2017-04-18

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