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Title of Journal: Found Comput Math

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Abbravation: Foundations of Computational Mathematics

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Springer US

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10.1007/bf00740518

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1615-3383

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A Universal Algorithm for Multivariate Integration

Authors: David Krieg Erich Novak
Publish Date: 2016/02/18
Volume: 17, Issue: 4, Pages: 895-916
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Abstract

We present an algorithm for multivariate integration over cubes that is unbiased and has optimal order of convergence in the randomized sense as well as in the worstcase setting for all Sobolev spaces Hrmathrmmix01d and Hs01d for sd/2


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