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On a Reduced Component-by-Component Digit-by-Digit Construction of Lattice Point Sets Cover

On a Reduced Component-by-Component Digit-by-Digit Construction of Lattice Point Sets

Uniform distribution theory
Volume 18 (2023): Issue 1 (July 2023)
By: Peter Kritzer and  Onyekachi Osisiogu  
Open Access
|Aug 2023

Authors

Peter Kritzer

peter.kritzer@ricam.oeaw.ac.at

RICAM, Austrian Academy of Sciences, Austria

Onyekachi Osisiogu

oosisiogu@iit.edu

RICAM, Austrian Academy of Sciences, Austria
Illinois Institute of Technology, USA
DOI: https://doi.org/10.2478/udt-2023-0007 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
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Language: English
Page range: 97 - 140
Submitted on: Nov 22, 2022
Accepted on: May 11, 2023
Published on: Aug 10, 2023
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Numerical integration,
lattice points,
quasi-Monte Carlo methods,
component-by-component construction,
digit-by-digit construction,
weighted function spaces,
fast implementation
Related subjects:
Mathematics,
Algebra and number theory,
Discrete mathematics,
Probability and statistics,
Numerical and computational mathematics

© 2023 Peter Kritzer, Onyekachi Osisiogu, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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