On obtaining higher order convergence for smooth periodic functions

DOI10.1016/j.jco.2007.10.002zbMath1151.65019OpenAlexW2061874121WikidataQ57778870 ScholiaQ57778870MaRDI QIDQ933413

Ronald Cools, Bart Vandewoestyne

Publication date: 21 July 2008

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2007.10.002

zbMATH Keywords

cubaturenumerical examplesquasi-Monte Carlo methodperiodic functionsmultivariate numerical integration

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Fibonacci sets and symmetrization in discrepancy theory ⋮ Weighted compound integration rules with higher order convergence for all \(N\)

Cites Work

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• On obtaining quadratic and cubic error convergence using weighted Kronecker-sequences
• On a number-theoretical integration method
• Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions
• A Note on Haselgrove's Method for Numerical Integration