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Author Rabinowitz, Philip
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1966
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Conformal maps of simply connected regions onto the interior and exterior of the unit circle can be computed from complex polynomials orthonormal over the boundary of the given region. As an example of this method, maps of ellipses, rectangles, limacons and ovals of Cassini were computed on the IBM 7070. The results indicate that, in general, the method gives good accuracy, but roundoff error can become very serious, indicating the desirability of computing with greater precision. For fourfold symmetric regions, the algorithm can be simplified to decrease significantly the amount of computation resquired to achieve the same accuracy as that achieved by the algorithm for the general case.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1966-04-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 13
Issue Number 2
Page Count 8
Starting Page 296
Ending Page 303


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Source: ACM Digital Library