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Computing with functions in two dimensions

Abstract:

New numerical methods are proposed for computing with smooth scalar and vector valued functions of two variables defined on rectangular domains. Functions are approximated to essentially machine precision by an iterative variant of Gaussian elimination that constructs near-optimal low rank approximations. Operations such as integration, differentiation, and function evaluation are particularly efficient. Explicit convergence rates are shown for the singular values of differentiable and sep...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Numerical Analysis
Oxford college:
St John's College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:02f92917-809e-477d-8413-417bb8106e56
Local pid:
ora:9179
Deposit date:
2014-10-27

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