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Wrapping Effect and Wrapping Function

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Reliable Computing

Abstract

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.

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Authors and Affiliations

  1. Vista University, Private Bag X1311, Silverton, 0127, South Africa, e-mail

    Roumen Anguelov

  2. Institute of Mathematics and Computer Science, Bulgarian Academy of Science, Acad. G.Bonchev Str, block 8, BG-1113, Sofia, Bulgaria, e-mail

    Svetoslav Markov

Authors
  1. Roumen Anguelov
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  2. Svetoslav Markov
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Anguelov, R., Markov, S. Wrapping Effect and Wrapping Function. Reliable Computing 4, 311–330 (1998). https://doi.org/10.1023/A:1024414730820

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  • DOI: https://doi.org/10.1023/A:1024414730820

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