G. Wasilkowski

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19932019

most citedEmbeddings for Infinite-Dimensional Integration and

L_{2}

-Approximation with Increasing Smoothness

12 citations · 20 across the 10 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

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 $γ$ -weighted Anchored and ANOVA spaces of $s$ -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 $s$ -variate functions. Here $s$ is large including $s = \infty$ . 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 $x_{1}, x_{2}, x_{3}, \dots$ with respect to a…