Wrapping Effect and Wrapping Function

Wrapping Effect and Wrapping Function We study the wrapping effect associated with validated interval methods for numerical solution of the initial value problem for ordinary differential equations by introducing a new concept of wrapping function. The wrapping function is proved to be the limit of the enclosures of the solution produced by methods of certain type. There is no wrapping effect if and only if the wrapping function equals the optimal interval enclosure of the solution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Wrapping Effect and Wrapping Function

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1998 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:1024414730820
Publisher site
See Article on Publisher Site

References

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