A construction of higher-rank lattice rules

DOI10.1016/S0378-4754(00)00250-0zbMath0981.65005OpenAlexW1998010633WikidataQ126781794 ScholiaQ126781794MaRDI QIDQ5938368

Timothy N. Langtry

Publication date: 18 July 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(00)00250-0

zbMATH Keywords

generator setshigher-rank lattice rulessimultaneous Diophantine approximation

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Simultaneous homogeneous approximation, linear forms (11J13)

Cites Work

• Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
• The determination of canonical forms for lattice quadrature rules
• Lattice rules of minimal and maximal rank with good figures of merit
• A two-dimensional continued fraction algorithm for best approximations with an application in cubic number fields.
• Lattice Integration Rules of Maximal Rank Formed by Copying Rank 1 Rules
• Geodesic Multidimensional Continued Fractions
• Application of the Smith Normal Form to the Structure of Lattice Rules
• An application of Diophantine approximation to the construction of rank-1 lattice quadrature rules
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