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On the fast computation of high dimensional volume potentials
| dc.contributor.author | Lanzara, Flavia | |
| dc.contributor.author | Maz'ya, Vladimir | |
| dc.contributor.author | Schmidt, Gunther | |
| dc.date.accessioned | 2017-01-04T16:09:59Z | |
| dc.date.available | 2019-06-28T08:03:56Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | A fast method of an arbitrary high order for approximating volume potentials is proposed, which is effective also in high dimensional cases. Basis functions intro- duced in the theory of approximate approximations are used. Results of numerical experiments, which show approximation order O(h8) for the Newton potential in high dimensions, for example, for n = 200 000, are provided. The computation time scales linearly in the space dimension. New one-dimensional integral representations with separable integrands of the potentials of advection-diffusion and heat equations are obtained. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2119 | |
| dc.language.iso | eng | eng |
| dc.publisher | Cambridge : arXiv | eng |
| dc.relation.uri | https://arxiv.org/abs/0911.0443 | |
| 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 | Cubature of integral operators | eng |
| dc.subject.other | multivariate approximation | eng |
| dc.subject.other | separated representation | eng |
| dc.title | On the fast computation of high dimensional volume potentials | 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 |