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Thesis

Some new results on and applications of interpolation in numerical computation

Abstract:

This thesis discusses several topics related to interpolation and how it is used in numerical analysis. It begins with an overview of the aspects of interpolation theory that are relevant to the discussion at hand before presenting three new contributions to the field.

The first new result is a detailed error analysis of the barycentric formula for trigonometric interpolation in equally-spaced points. We show that, unlike the barycentric formula for polynomial interpolation in Cheby...

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Division:
MPLS
Department:
Mathematical Institute
Department:
University of Oxford
Role:
Author

Contributors

Department:
University of Oxford
Role:
Supervisor
Department:
University of Oxford
Role:
Examiner
Department:
University of Manchester
Role:
Examiner
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Grant:
FP7/2007–2013)/ERC grant agreement 291068
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:11c16937-4a59-494d-a06f-6d27b634e2f3
Deposit date:
2016-12-08

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