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Complexity of local solution of integral equations

  • We study the complexity of local solution of Fredholm integral equations. This means that we want to compute not the full solution, but rather a functional (weighted mean, value in a point) of it. For certain Sobolev classes of multivariate periodic functions we prove matching upper and lower bounds and construct an algorithm of the optimal order, based on Fourier coefficients and a hyperbolic cross approximation.

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Author:Karin Frank, Stefan Heinrich
URN (permanent link):urn:nbn:de:hbz:386-kluedo-49243
Serie (Series number):Interner Bericht des Fachbereich Informatik (241)
Document Type:Report
Language of publication:English
Publication Date:2017/10/24
Year of Publication:1994
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2017/10/24
Number of page:15
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)