Van der Corput sequences, Kakutani transforms and one-dimensional numerical integration

DOI10.1016/0377-0427(92)90051-XzbMath0765.41033MaRDI QIDQ1208551

Gilles Pagès

Publication date: 16 May 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Van der Corput sequences

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items

Fast generation of low-discrepancy sequences, On low discrepancy sequences and low discrepancy ergodic transformations of the multidimensional unit cube, A space quantization method for numerical integration, From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules, Optimal periodic \(L_2\)-discrepancy and diaphony bounds for higher order digital sequences, Sequences with low discrepancy and pseudo-random numbers:theoretical results and numerical tests, Quasi-Monte Carlo sampling to improve the efficiency of Monte Carlo EM, Generalized von Neumann-Kakutani transformation and random-start scrambled Halton sequences, Central limit theorems for the ergodic adding machine, A uniformly distributed sequence on the ring of p-adic integers, Randomized Halton sequences

Cites Work

• Regularities in the distribution of special sequences
• Etude des restes pour les suites de van der Corput generalisees
• Quasi-Monte Carlo, low discrepancy sequences, and ergodic transformations
• Discrépances de suites associées à un système de numération (en dimension un)
• Quasi-Monte Carlo methods and pseudo-random numbers
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