Compact high order finite difference schemes for linear Schrödinger problems on non-uniform meshes
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1748 | |
| dc.contributor.author | Radziunas, Mindaugas | |
| dc.contributor.author | Čiegis, Raimondas | |
| dc.contributor.author | Mirinavičius, Aleksas | |
| dc.date.accessioned | 2016-03-24T17:37:26Z | |
| dc.date.available | 2019-06-28T14:00:23Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | In the present paper a general technique is developed for construction of compact high-order finite difference schemes to approximate Schrödinger problems on nonuniform meshes. Conservation of the finite difference schemes is investigated. Discrete transparent boundary conditions are constructed for the given high-order finite difference scheme. The same technique is applied to construct compact high-order approximations of the Robin and Szeftel type boundary conditions. Results of computational experiments are presented | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/1459 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/4666 | |
| 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 | 530 | eng |
| dc.subject.other | Finite-difference schemes | eng |
| dc.subject.other | high-order approximation | eng |
| dc.subject.other | compact scheme | eng |
| dc.subject.other | Schrödinger equation | eng |
| dc.subject.other | transparent boundary conditions | eng |
| dc.title | Compact high order finite difference schemes for linear Schrödinger problems on non-uniform meshes | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Physik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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