@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00956714v1> a dcat:Dataset ;
    dct:description """
              In this paper we investigate the convergence properties of semi-discretized approximations by Strang splitting method applied to fast-oscillating nonlinear Schr¨odinger equations. In a first step and for further use, we briefly adapt a known convergence result for Strang method in the context of NLS on $T^d$ for a large class of nonlinearities. In a second step, we examine how errors depend on the length of the period $\\varepsilon$, the solutions being considered on intervals of fixed length (independent of the period). Our main contribution is to show that Strang splitting with constant step-sizes is unexpectedly more accurate by a factor $\\varepsilon$ as compared to established results when the step-size is chosen as an integer fraction of the period, owing to an averaging effect.
            """ ;
    dct:identifier "hal-00956714" ;
    dct:issued "2026-05-06T02:53:46.695578"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-06T02:53:46.695583"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Superconvergence of Strang splitting for NLS in $T^d$" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00956714v1/resource/ffd71ced-64be-4fed-99c9-b3dff771a308> ;
    dcat:keyword "averaging",
        "highly-oscillatory-systems",
        "infoeu-reposemanticspreprint",
        "mathmath-namathematics-mathnumerical-analysis-mathna",
        "nonlinear",
        "partial-differential-equation",
        "preprints-working-papers-",
        "schrodinger-equation",
        "splitting-schemes",
        "strang-splitting" ;
    dcat:landingPage <https://inria.hal.science/hal-00956714> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00956714v1/resource/ffd71ced-64be-4fed-99c9-b3dff771a308> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-06T02:53:46.697728"^^xsd:dateTime ;
    dct:modified "2026-05-06T02:53:46.677632"^^xsd:dateTime ;
    dct:title "Superconvergence of Strang splitting for NLS in $T^d$" ;
    dcat:accessURL <https://inria.hal.science/hal-00956714> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://inria.hal.science/hal-00956714> a foaf:Document .

