Complexity of local solution of multivariate integral equations
- In this paper the complexity of the local solution of Fredholm integral equations is studied. For certain Sobolev classes of multivariate periodic functions with dominating mixed derivative we prove matching lower and upper bounds. The lower bound is shown using relations to s-numbers. The upper bound is proved in a constructive way providing an implementable algorithm of optimal order based on Fourier coefficients and a hyperbolic cross approximation.
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| Author: | Karin Frank |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-49258 |
| Serie (Series number): | Interner Bericht des Fachbereich Informatik (248) |
| 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: | 17 |
| Faculties / Organisational entities: | Kaiserslautern - 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) |