Additive splitting methods for parallel solution of evolution problems
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2767 | |
dc.contributor.author | Amiranashvili, Shalva | |
dc.contributor.author | Radziunas, Mindaugas | |
dc.contributor.author | Bandelow, Uwe | |
dc.contributor.author | Busch, Kurt | |
dc.contributor.author | Čiegis, Raimondas | |
dc.date.accessioned | 2022-06-30T13:14:20Z | |
dc.date.available | 2022-06-30T13:14:20Z | |
dc.date.issued | 2020 | |
dc.description.abstract | We demonstrate how a multiplicative splitting method of order P can be used to construct an additive splitting method of order P + 3. The weight coefficients of the additive method depend only on P, which must be an odd number. Specifically we discuss a fourth-order additive method, which is yielded by the Lie-Trotter splitting. We provide error estimates, stability analysis, and numerical examples with the special discussion of the parallelization properties and applications to nonlinear optics. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9417 | |
dc.identifier.uri | https://doi.org/10.34657/8455 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2767 | |
dc.relation.issn | 2198-5855 | |
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 | |
dc.subject.other | Splitting method | eng |
dc.subject.other | Richardson extrapolation | eng |
dc.subject.other | nonlinear Schrödinger equation | eng |
dc.subject.other | nonlinear optics | eng |
dc.title | Additive splitting methods for parallel solution of evolution problems | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 23 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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