Runge-Walsh Wavelet Approximation for
- Metaharmonic wavelets are introduced for constructing the solution of theHelmholtz equation (reduced wave equation) corresponding to Dirichlet's orNeumann's boundary values on a closed surface approach leading to exactreconstruction formulas is considered in more detail. A scale discrete version ofmultiresolution is described for potential functions metaharmonic outside theclosed surface and satisfying the radiation condition at infinity. Moreover, wediscuss fully discrete wavelet representations of band-limited metaharmonicpotentials. Finally, a decomposition and reconstruction (pyramid) scheme foreconomical numerical implementation is presented for Runge-Walsh waveletapproximation.
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| Author: | Willi Freeden, Frank Schneider |
|---|---|
| URN (permanent link): | urn:nbn:de:hbz:386-kluedo-5804 |
| Serie (Series number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (176) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1997 |
| Year of Publication: | 1997 |
| Publishing Institute: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/04/03 |
| Faculties / Organisational entities: | Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |
