Taylor Forms—Use and Limits

Taylor Forms—Use and Limits This review is a response to recent discussions on the reliable computing mailing list, and to continuing uncertainties about the properties and merits of Taylor forms, multivariate higher degree generalizations of centered forms. They were invented around 1980 by Lanford, documented in detail in 1984 by Eckmann, Koch, and Wittwer, and independently studied and popularized since 1996 by Berz, Makino, and Hoefkens. A highlight is their application to the verified integration of asteroid dynamics in the solar system in 2001. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Taylor Forms—Use and Limits

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2003 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1023061927787
Publisher site
See Article on Publisher Site

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