Numerical algorithms for Schrödinger equation with artificial boundary conditions
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1446 | |
| dc.contributor.author | Čiegis, Raimondas | |
| dc.contributor.author | Laukaitytė, Inga | |
| dc.contributor.author | Radziunas, Mindaugas | |
| dc.date.accessioned | 2016-03-24T17:38:33Z | |
| dc.date.available | 2019-06-28T08:04:34Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | We consider a one-dimensional linear Schrödinger problem defined on an infinite domain and approximated by the Crank-Nicolson type finite difference scheme. To solve this problem numerically we restrict the computational domain by introducing the reflective, absorbing or transparent artificial boundary conditions. We investigate the conservativity of the discrete scheme with respect to the mass and energy of the solution. Results of computational experiments are presented and the efficiency of different artificial boundary conditions is discussed. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2774 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2204 | |
| 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 | Finite difference method | eng |
| dc.subject.other | Schrödinger problem | eng |
| dc.subject.other | absorbing boundary conditions | eng |
| dc.subject.other | transparent boundary conditions | eng |
| dc.subject.other | numerical experiments | eng |
| dc.title | Numerical algorithms for Schrödinger equation with artificial boundary conditions | 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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