12 citations · 20 across the 10 of their papers we have counts for
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math.NA2015★ 1 cited
On Equivalence of Anchored and ANOVA Spaces; Lower Bounds
Peter Kritzer, Friedrich Pillichshammer, G. W. Wasilkowski
We provide lower bounds for the norms of embeddings between -weighted Anchored and ANOVA spaces of -variate functions with mixed partial derivatives of order one b…
math.NA2015
Very Low Truncation Dimension for High Dimensional Integration Under Modest Error Demand
P. Kritzer, F. Pillichshammer, G. W. Wasilkowski
We consider the problem of numerical integration for weighted anchored and ANOVA Sobolev spaces of -variate functions. Here is large including . Under the assumpti…
math.NA2015
Infinite-dimensional integration and the multivariate decomposition method
Frances Y. Kuo, Dirk Nuyens, Leszek Plaskota +2
We further develop the \emph{Multivariate Decomposition Method} (MDM) for the Lebesgue integration of functions of infinitely many variables with respect to a…