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: | urn:nbn:de:hbz:386-kluedo-49243 |
| Series (Serial Number): | Interner Bericht des Fachbereich Informatik (241) |
| Document Type: | Report |
| Language of publication: | English |
| Date of Publication (online): | 2017/10/24 |
| Year of first Publication: | 1994 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2017/10/24 |
| Page Number: | 15 |
| 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) |