Approximation of solutions to multidimensional parabolic equations by approximate approximations
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2119 | |
| dc.contributor.author | Lanzara, Flavia | |
| dc.contributor.author | Mazya, Vladimir | |
| dc.contributor.author | Schmidt, Gunther | |
| dc.date.accessioned | 2016-12-13T10:46:41Z | |
| dc.date.available | 2019-06-28T08:23:06Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We propose a fast method for high order approximations of the solution of n-dimensional parabolic problems over hyper-rectangular domains in the framework of the method of approximate approximations. This approach, combined with separated representations, makes our method effective also in very high dimensions.We report on numerical results illustrating that our formulas are accurate and provide the predicted approximation rate 6 also in high dimensions. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2029 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3350 | |
| 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 | Higher dimensions | eng |
| dc.subject.other | parabolic equation | eng |
| dc.subject.other | heat potential | eng |
| dc.subject.other | separated representations | eng |
| dc.subject.other | tensor product approximation | eng |
| dc.title | Approximation of solutions to multidimensional parabolic equations by approximate approximations | 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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