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Computing with functions in the ball

Abstract:

A collection of algorithms in object-oriented MATLAB is described for numerically computing with smooth functions defined on the unit ball in the Chebfun software. Functions are numerically and adaptively resolved to essentially machine precision by using a three-dimensional analogue of the double Fourier sphere method to form “Ballfun" objects. Operations such as function evaluation, differentiation, integration, fast rotation by an Euler angle, and a Helmholtz solver are designed. Our algor...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/19M1297063

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-1425-8307
Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Scientific Computing More from this journal
Volume:
42
Issue:
4
Pages:
C169-C191
Publication date:
2020-08-17
Acceptance date:
2020-06-29
DOI:
EISSN:
1095-7197
ISSN:
1064-8275
Language:
English
Keywords:
Pubs id:
1070540
Local pid:
pubs:1070540
Deposit date:
2020-11-27

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