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Complexity of Initial Value Problems in Banach Spaces

We study the complexity of initial value problems for Banach space valued ordinary differential equations in the randomized setting. The right- hand side is assumed to be r-smooth, the r-th derivatives being ϱ-Hölder continuous. We develop and analyze a randomized algorithm. Furthermore, we prove lo...

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Bibliographic Details
Main Author: Heinrich, S.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106738
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