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Chebfun in three dimensions

Abstract:

We present an algorithm for numerical computations involving trivariate functions in a 3D rectangular parallelepiped in the context of Chebfun. Our scheme is based on low-rank representation through multivariate adaptive cross approximation (MACA). The component 1D functions are represented by finite Chebyshev expansions, or trigonometric expansions in the periodic case. Numerical experiments show the power and convenience of Chebfun3 for problems such as function manipulation, differentiatio...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1137/16M1083803

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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
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Grant:
FP7/20072013/ERC grant agreement no. 291068
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Scientific Computing Journal website
Volume:
39
Issue:
5
Pages:
C341–C363
Publication date:
2017-09-21
Acceptance date:
2017-04-07
DOI:
EISSN:
1095-7197
ISSN:
1064-8275
Pubs id:
pubs:689005
URN:
uri:7a2ec901-8b4b-4fed-bed1-1980571e5bf9
UUID:
uuid:7a2ec901-8b4b-4fed-bed1-1980571e5bf9
Local pid:
pubs:689005
Paper number:
5

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