Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93851
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Li, B | en_US |
dc.creator | Wu, Y | en_US |
dc.date.accessioned | 2022-08-03T01:23:55Z | - |
dc.date.available | 2022-08-03T01:23:55Z | - |
dc.identifier.issn | 0029-599X | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93851 | - |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.rights | © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 | en_US |
dc.rights | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00211-021-01226-3 | en_US |
dc.title | A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 151 | en_US |
dc.identifier.epage | 183 | en_US |
dc.identifier.volume | 149 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.doi | 10.1007/s00211-021-01226-3 | en_US |
dcterms.abstract | A fully discrete and fully explicit low-regularity integrator is constructed for the one-dimensional periodic cubic nonlinear Schrödinger equation. The method can be implemented by using fast Fourier transform with O(Nln N) operations at every time level, and is proved to have an L2-norm error bound of O(τln(1/τ)+N-1) for H1 initial data, without requiring any CFL condition, where τ and N denote the temporal stepsize and the degree of freedoms in the spatial discretisation, respectively. | en_US |
dcterms.abstract | [Formula not fully presented, refer to publisher pdf] | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Numerische mathematik, Sept. 2021, v. 149, no. 1, p. 151-183 | en_US |
dcterms.isPartOf | Numerische mathematik | en_US |
dcterms.issued | 2021-09 | - |
dc.identifier.scopus | 2-s2.0-85112117816 | - |
dc.identifier.eissn | 0945-3245 | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | AMA-0016 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 55650107 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Li_Fully_Discrete_Low-Regularity.pdf | Pre-Published version | 972.39 kB | Adobe PDF | View/Open |
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