Duality theory and propagation rules for higher order nets

DOI10.1016/j.disc.2010.11.002zbMath1229.11103OpenAlexW2061227565MaRDI QIDQ626792

Josef Dick, Friedrich Pillichshammer, Jan Baldeaux

Publication date: 18 February 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2010.11.002

zbMATH Keywords

duality theoryquasi-Monte Carlo\((t,m,s)\)-netpropagation rulequality parameter

Mathematics Subject Classification ID

Well-distributed sequences and other variations (11K36) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (6)

A computable figure of merit for quasi-Monte Carlo point sets ⋮ Optimal order quadrature error bounds for infinite-dimensional higher-order digital sequences ⋮ A higher order Blokh-Zyablov propagation rule for higher order nets ⋮ An Explicit Construction of Optimal Order Quasi--Monte Carlo Rules for Smooth Integrands ⋮ Propagation rules for \((u, m, \mathbf{e}, s)\)-nets and \((u, \mathbf{e}, s)\)-sequences ⋮ Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets

Cites Work

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• On Quasi-Monte Carlo Rules Achieving Higher Order Convergence
• Equidistribution Properties of Generalized Nets and Sequences
• Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions
• Duality theory and propagation rules for generalized digital nets
• Walsh Spaces Containing Smooth Functions and Quasi–Monte Carlo Rules of Arbitrary High Order
• Matrix-product codes over \(\mathbb{F}_q\)

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