Hilbert space with reproducing kernel and uniform distribution preserving maps. I

DOI10.1134/S008154381307002XzbMath1396.65007OpenAlexW2152079793MaRDI QIDQ483175

Yong-Cai Geng, Sumit K. Garg

Publication date: 16 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381307002x

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical integration (65D30) Irregularities of distribution, discrepancy (11K38)

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Cites Work

• The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets
• On an application of infinitely divisible distributions to quadrature problems
• When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
• Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces
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