@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-tel-00691919v1> a dcat:Dataset ;
    dct:description """
              The purpose of this thesis is to develop and illustrate various new methods for solving many classes of Cauchy singular integral and integro-differential equations. We study the successive approximation method for solving Cauchy singular integral equations of the first kind in the general case, then we develop a collocation method based on trigonometric polynomials combined with a regularization procedure, for solving Cauchy integral equations of the second kind. In the same perspective, we use a projection method for solving operator equation with bounded noncompact operators in Hilbert spaces. We apply a collocation and projection methods for solving Cauchy integro-differential equations, using airfoil and Legendre polynomials
            """ ;
    dct:identifier "NNT: 2011STET4005" ;
    dct:issued "2026-05-20T14:31:59.674795"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-20T14:31:59.674800"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "[For solving Cauchy singular integral equations]" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00691919v1/resource/e544c9f8-8196-4f0b-8b9f-2b1404f288cd> ;
    dcat:keyword "approximations-successives",
        "cauchy-kernel",
        "collocation-methods",
        "equations-integrales",
        "infoeu-reposemanticsdoctoralthesis",
        "integral-equations",
        "mathmath-gmmathematics-mathgeneral-mathematics-mathgm",
        "methodes-de-collocation",
        "methodes-de-projection",
        "noyau-de-cauchy",
        "projection-methods",
        "successive-approximations",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00691919> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00691919v1/resource/e544c9f8-8196-4f0b-8b9f-2b1404f288cd> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-20T14:31:59.681872"^^xsd:dateTime ;
    dct:modified "2026-05-20T14:31:59.633691"^^xsd:dateTime ;
    dct:title "[For solving Cauchy singular integral equations]" ;
    dcat:accessURL <https://theses.hal.science/tel-00691919> .

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

<https://theses.hal.science/tel-00691919> a foaf:Document .