Different quality indexes for lattice rules

DOI10.1006/jcom.1997.0443zbMath0889.65015OpenAlexW2041165402WikidataQ57779033 ScholiaQ57779033MaRDI QIDQ1368834

A. V. Reztsov, Ronald Cools

Publication date: 2 June 1998

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

Full work available at URL: https://doi.org/10.1006/jcom.1997.0443

zbMATH Keywords

trigonometric polynomialslattice rulesmultiple integralsoctahedral indexspherical index

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Constructing lattice rules based on weighted degree of exactness and worst case error, Quasi-Monte Carlo Image Synthesis in a Nutshell, Three- and four-dimensional 𝐾-optimal lattice rules of moderate trigonometric degree

Cites Work

• Estimating the number of interpolation points for Gaussian-type cubature formula
• Integration of nonperiodic functions of two variables by Fibonacci lattice rules
• Lattice Methods for Multiple Integration: Theory, Error Analysis and Examples
• Minimal cubature formulae of trigonometric degree
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