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.
Reliable Computing – Springer Journals
Published: Oct 14, 2004
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