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 2017 · math.NAShow all

3 papers · 2 filters

math.NA2017

Efficient implementations of the Multivariate Decomposition Method for approximating infinite-variate integrals

Alexander D. Gilbert, Frances Y. Kuo, Dirk Nuyens +1

In this paper we focus on efficient implementations of the Multivariate Decomposition Method (MDM) for approximating integrals of $\infty$ -variate functions. Such $\infty$ -variate…

math.NA2017

Truncation in Average and Worst Case Settings for Special Classes of $\infty$ -Variate Functions

Peter Kritzer, Friedrich Pillichshammer, G. W. Wasilkowski

The paper considers truncation errors for functions of the form $f (x_{1}, x_{2}, \dots) = g (\sum_{j = 1}^{\infty} x_{j} ξ_{j})$ , i.e., errors of approximating $f$ by $f_k(x_1,\dots,x_k)=g(\sum_{j…

math.NA2017

Truncation Dimension for Linear Problems on Multivariate Function Spaces

Aicke Hinrichs, Peter Kritzer, Friedrich Pillichshammer +1

The paper considers linear problems on weighted spaces of multivariate functions of many variables. The main questions addressed are: When is it possible to approximate the solutio…

Efficient implementations of the Multivariate Decomposition Method for approximating infinite-variate integrals

Truncation in Average and Worst Case Settings for Special Classes of ∞-Variate Functions

Truncation Dimension for Linear Problems on Multivariate Function Spaces

Truncation in Average and Worst Case Settings for Special Classes of $\infty$ -Variate Functions