Fast cubature of volume potentials over rectangular domains
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1767 | |
dc.contributor.author | Lanzara, Flavia | |
dc.contributor.author | Maz' ya, Vladimir | |
dc.contributor.author | Schmidt, Gunther | |
dc.date.accessioned | 2016-03-24T17:37:28Z | |
dc.date.available | 2019-06-28T08:23:59Z | |
dc.date.issued | 2013 | |
dc.description.abstract | In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory of approximate approximations, the cubature of a potential is reduced to the quadrature of one dimensional integrals. For densities with separated approximation, we derive a tensor product representation of the integral operator which admits efficient cubature procedures in very high dimensions. Numerical tests show that these formulas are accurate and provide approximation of order O(h6) up to dimension 108. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2371 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3385 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Multi-dimensional convolution | eng |
dc.subject.other | advection-diffusion potential | eng |
dc.subject.other | tensor product representation | eng |
dc.subject.other | higher dimensions | eng |
dc.title | Fast cubature of volume potentials over rectangular domains | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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