A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations
| dc.bibliographicCitation.volume | 1313 | |
| dc.contributor.author | Antoine, Xavier | |
| dc.contributor.author | Arnold, Anton | |
| dc.contributor.author | Besse, Chritophe | |
| dc.contributor.author | Ehrhardt, Matthias | |
| dc.contributor.author | Schädle, Achim | |
| dc.date.accessioned | 2016-03-24T17:38:21Z | |
| dc.date.available | 2019-06-28T08:03:10Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | In this review article we discuss different techniques to solve numerically the time-dependent Schrödinger equation on unbounded domains. We present in detail the most recent approaches and describe briefly alternative ideas pointing out the relations between these works. We conclude with several numerical examples from different application areas to compare the presented techniques. We mainly focus on the one-dimensional problem but also touch upon the situation in two space dimensions and the cubic nonlinear case. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/1886 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1990 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1313, 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.title | A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations | eng |
| dc.type | report | eng |
| dc.type | Text | eng |
| dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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