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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| Date: | 2013 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2013
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106738 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Complexity of Initial Value Problems in Banach Spaces / S. Heinrich // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 1. — С. 73-101. — Бібліогр.: 18 назв. — англ. |