Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces

DOI10.1137/050622638zbMath1110.11023OpenAlexW2010651950MaRDI QIDQ5470963

Josef Dick, Friedrich Pillichshammer, Gottlieb Isabel Pirsic

Publication date: 2 June 2006

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050622638

zbMATH Keywords

component-by-component algorithmcyclic digital netquasi Monte Carlo algorithmweighted \(\mathcal L_2\)-discrepancy

Mathematics Subject Classification ID

Numerical integration (65D30) Irregularities of distribution, discrepancy (11K38)

Related Items (9)

The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets ⋮ Vandermonde Nets and Vandermonde Sequences ⋮ A survey of some applications of finite fields ⋮ Extensible hyperplane nets ⋮ On the existence and distribution quality of hyperplane sequences ⋮ Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules ⋮ Duality for digital sequences ⋮ Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ Proof techniques in quasi-Monte Carlo theory

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