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Efficient algorithms for computing the \(L_2\) discrepancy

  • The \(L_2\)-discrepancy is a quantitative measure of precision for multivariate quadrature rules. It can be computed explicitly. Previously known algorithms needed \(O(m^2\)) operations, where \(m\) is the number of nodes. In this paper we present algorithms which require \(O(m(log m)^d)\) operations.

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Author:Stefan Heinrich
URN (permanent link):urn:nbn:de:hbz:386-kluedo-49411
Serie (Series number):Interner Bericht des Fachbereich Informatik (267)
Document Type:Report
Language of publication:English
Publication Date:2017/10/25
Year of Publication:1995
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2017/10/25
Number of page:14
Faculties / Organisational entities:Fachbereich Informatik
DDC-Cassification:0 Allgemeines, Informatik, Informationswissenschaft / 004 Informatik
Licence (German):Creative Commons 4.0 - Namensnennung, nicht kommerziell, keine Bearbeitung (CC BY-NC-ND 4.0)