Additive splitting methods for parallel solution of evolution problems
| 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 | Splitting method | eng |
| dc.subject | Richardson extrapolation | eng |
| dc.subject | nonlinear Schrödinger equation | eng |
| dc.subject | nonlinear optics | eng |
| dc.subject.ddc | 510 | |
| dc.title | Additive splitting methods for parallel solution of evolution problems | eng |
| dc.type | report | eng |
| dc.type | Text | eng |
| dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dcterms.extent | 23 S. | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |
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