Thesis
Some new results on and applications of interpolation in numerical computation
- Abstract:
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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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Authors
Contributors
+ Trefethen, L
- Department:
- University of Oxford
- Role:
- Supervisor
+ Thompson, A
- Department:
- University of Oxford
- Role:
- Examiner
+ GĂĽttel, S
- Department:
- University of Manchester
- Role:
- Examiner
+ European Research Council
More from this funder
- Grant:
- FP7/2007–2013)/ERC grant agreement 291068
- DOI:
- 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
Terms of use
- Copyright holder:
- Austin, A
- Copyright date:
- 2016
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