ORCID: https://orcid.org/0000-0001-9738-2487; Ma, Jackie; Petersen, Philipp und Raslan, Mones
(2020):
Anisotropic multiscale systems on bounded domains.
In: Advances in Computational Mathematics, Bd. 46, 39
Abstract
We establish a construction of hybrid multiscale systems on a bounded domain consisting of shearlets and boundary-adapted wavelets, which satisfy several properties advantageous for applications to imaging science and the numerical analysis of partial differential equations. More precisely, we construct hybrid shearlet-wavelet systems that form frames for the Sobolev spaces with controllable frame bounds and admit optimally sparse approximations for functions which are smooth apart from a curve-like discontinuity. Per construction, these systems allow to incorporate boundary conditions.
Dokumententyp: | Zeitschriftenartikel |
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Fakultät: | Mathematik, Informatik und Statistik > Mathematik > Professur für Mathematische Grundlagen des Verständnisses der künstlichen Intelligenz |
Themengebiete: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
ISSN: | 1019-7168 |
Sprache: | Englisch |
Dokumenten ID: | 126397 |
Datum der Veröffentlichung auf Open Access LMU: | 27. Mai 2025 10:18 |
Letzte Änderungen: | 27. Mai 2025 10:18 |