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- W950852330 abstract "We study the complexity of Banach space valued integration. The input data are assumed to be r-smooth. We consider both definite and indefinite integration and analyse the deterministic and the randomized setting. We develop algorithms, estimate their error, and prove lower bounds. In the randomized setting the optimal convergence rate turns out to be related to the geometry of the underlying Banach space. Then we study the corresponding problems for parameter dependent scalar integration. For this purpose we use the Banach space results and develop a multilevel scheme which connects Banach space and parametric case." @default.
- W950852330 created "2016-06-24" @default.
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- W950852330 date "2013-01-01" @default.
- W950852330 modified "2023-09-27" @default.
- W950852330 title "Complexity of Banach Space Valued and Parametric Integration" @default.
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- W950852330 doi "https://doi.org/10.1007/978-3-642-41095-6_12" @default.
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