Extremal lattices and the construction of lattice rules

DOI10.1016/j.amc.2010.09.065zbMath1223.65005OpenAlexW2050408745WikidataQ57778814 ScholiaQ57778814MaRDI QIDQ620983

Ronald Cools, Michael V. Noskov, Nikolay N. Osipov

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.065

zbMATH Keywords

survey paperlattice rulesextremal latticeMultivariate numerical integrationtrigonometric degree

Mathematics Subject Classification ID

Related Items (1)

On Error Estimates in Sp for Cubature Formulas Exact for Haar Polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cubature formulae of high trigonometric accuracy for periodic functions of four variables
• Five- and six-dimensional lattice rules generated by structured matrices
• Three- and four-dimensional 𝐾-optimal lattice rules of moderate trigonometric degree
• Cubature formulae for the approximate integration of functions of three variables
• Construction of lattice rules with a trigonometric d-property on the basis of extreme lattices
• Lattice Methods for Multiple Integration: Theory, Error Analysis and Examples
• Four-dimensional lattice rules generated by skew-circulant matrices
• Five-dimensional $K$-optimal lattice rules

This page was built for publication: Extremal lattices and the construction of lattice rules