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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Reducing the wrapping effect

Participants in the publication
C. Barbăro§ie (Author)
Dep. Matemática
 CMAF
 CMAFcIO
Summary
When solving ODEs by interval methods, the main difficulty is reducing the wrapping effect. Various solutions have been put forward, all of which are applicable for narrow initial intervals or to particular classes of equations only. This paper describes an algorithm which, instead of intervals, uses a larger family of sets. The algorithm exhibits a very small wrapping effect and applies to any type of equation and initial region. For the time being it handles only two-dimensional equations.

Date of Publication
1995-12

Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Computing

Publication Identifiers

Publisher
Springer Science and Business Media LLC

Volume
54
Number
4

Number of pages
11
Starting page
347
Last page
357

Document Identifiers
DOI - https://doi.org/10.1007/bf02238232
URL - http://dx.doi.org/10.1007/bf02238232

Keywords
interval arithmetic interval methods for the initial value problem


Export

APA
C. Barbăro§ie, (1995). Reducing the wrapping effect. Computing, 54, 347-357. http://dx.doi.org/10.1007/bf02238232

IEEE
C. Barbăro§ie, "Reducing the wrapping effect" in Computing, vol. 54, pp. 347-357, 1995. 10.1007/bf02238232

BIBTEX
@article{57179, author = {C. Barbăro§ie}, title = {Reducing the wrapping effect}, journal = {Computing}, year = 1995, pages = {347-357}, volume = 54 }