Compact high order finite difference schemes for linear Schrödinger problems on non-uniform meshes

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dc.bibliographicCitation.volume1748
dc.contributor.authorRadziunas, Mindaugas
dc.contributor.authorČiegis, Raimondas
dc.contributor.authorMirinavičius, Aleksas
dc.date.accessioned2016-03-24T17:37:26Z
dc.date.available2019-06-28T14:00:23Z
dc.date.issued2012
dc.description.abstractIn 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 presentedeng
dc.description.versionpublishedVersioneng
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/1459
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/4666
dc.language.isoengeng
dc.publisherBerlin: Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1748, ISSN 0946-8633eng
dc.rights.licenseThis 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.licenseDieses 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.subjectFinite-difference schemeseng
dc.subjecthigh-order approximationeng
dc.subjectcompact schemeeng
dc.subjectSchrödinger equationeng
dc.subjecttransparent boundary conditionseng
dc.subject.ddc530eng
dc.titleCompact high order finite difference schemes for linear Schrödinger problems on non-uniform mesheseng
dc.typereporteng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastikeng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectPhysikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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