A review of discrepancy bounds for <mml:math altimg="si27.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> and <mml:math altimg="si28.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mstyle mathvariant="bold"><mml:mi>e</mml:mi></mml:mstyle><mml:mo>,</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-sequences with numerical comparisons-Reference-Cited by-同舟云学术

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A review of discrepancy bounds for (t,s) and (t,e,s)-sequences with numerical comparisons

Published:2017-05 Issue: Volume:135 Page:63-71
ISSN:0378-4754
Container-title:Mathematics and Computers in Simulation
language:en
Short-container-title:Mathematics and Computers in Simulation

Author:

Faure Henri,Lemieux Christiane

Funder

NSERC

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference17 articles.

1. On the discrepancy of the Halton sequences;Atanassov;Math. Balkanica (NS),2004

2. Discrépance de suites associées à un système de numération (en dimension s);Faure;Acta Arith.,1982

3. On Atanassov’s methods for discrepancy bounds of low-discrepancy sequences;Faure,2014

4. New star discrepancy bounds for (t,m,s)-nets and (t,s)-sequences;Faure;Monatsh. Math.,2013

5. Improved Halton sequences and discrepancy bounds;Faure;Monte Carlo Methods Appl.,2010

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Discrepancy of Digital Sequences: New Results on a Classical QMC Topic;Springer Proceedings in Mathematics & Statistics;2020

2. Low-discrepancy sequences: Atanassov’s methods revisited;Mathematics and Computers in Simulation;2017-02

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