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Computing numerically with functions instead of numbers

Abstract:
Science and engineering depend upon computation of functions such as flow fields, charge distributions, and quantum states. Ultimately, such computations require some kind of discretization, but in recent years it has become possible in many cases to hide the discretizations from the user. We present the Chebfun system for numerical computation with functions, which is based on a key idea: an analogy of floating-point arithmetic for functions rather than numbers
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1145/2814847

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
MathWorks, Inc. More from this funder
Engineering and Physical Sciences Council More from this funder
European Research Council More from this funder
Publisher:
Association for Computing Machinery Publisher's website
Journal:
Communications of the ACM Journal website
Volume:
58
Issue:
10
Pages:
91-97
Publication date:
2015-10-01
DOI:
ISSN:
0001-0782
Source identifiers:
571681
Pubs id:
pubs:571681
UUID:
uuid:2e27c84b-1470-4c2f-9ae4-ec51895565e3
Local pid:
pubs:571681
Deposit date:
2015-11-16

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