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[{"key": "dc.contributor.advisor", "value": "M\u00f6nk\u00f6l\u00e4, Sanna", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Parviainen, Osmo", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2017-02-09T14:48:21Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2017-02-09T14:48:21Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2017", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/53005", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 opinn\u00e4ytety\u00f6ss\u00e4 tarkastellaan Diracin yht\u00e4l\u00f6n numeerista ratkaisemista sek\u00e4 t\u00e4h\u00e4n liittyvi\u00e4 haasteita. Diracin yht\u00e4l\u00f6 on keskeinen kvanttifysiikan ilmi\u00f6it\u00e4 kuvaava yht\u00e4l\u00f6, jonka ratkaisemiseen on esitetty kirjallisuudessa useita erilaisia menetelmi\u00e4. T\u00e4ss\u00e4 opinn\u00e4ytety\u00f6ss\u00e4 keskityt\u00e4\u00e4n tarkastelemaan menetelm\u00e4\u00e4, jossa yht\u00e4l\u00f6n ratkaisemiseen sovelletaan operaattorinjakoa ja karakteristista menetelm\u00e4\u00e4. Yht\u00e4l\u00f6n ratkaiseminen vaatii paljon aikaa ja laskentaresursseja, joten laskennan tehostaminen rinnakkaislaskennan keinoin on v\u00e4ltt\u00e4m\u00e4t\u00f6nt\u00e4.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this paper the numerical solution of the Dirac equation is studied along with its challenges. The Dirac equation is a central equation describing the phenomenons of the quantum physics and there are plenty of different methods suggested in the literature on solving the equation. This paper concentrates on solving the Dirac equation with a combination of operator splitting and the method of characteristics. Solving the equation requires a lot of time and computational resources and hence it is necessary to enhance the computation by means of parallel computing.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Osmo Parviainen (oseeparv) on 2017-02-09 14:48:20.669567. Form: Kandidaatintutkielma -lomake (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/kandin-tutkielma-lomake). JyX data: [jyx_publishing-allowed (fi) =True]", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija.group@korppi.jyu.fi) on 2017-02-09T14:48:20Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201702091406.pdf: 249337 bytes, checksum: 2999a3efb51130aae23b484e3f7a99ea (MD5)\nlicense.html: 4806 bytes, checksum: ac283137d268f9bd9d442948f06fd596 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2017-02-09T14:48:21Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201702091406.pdf: 249337 bytes, checksum: 2999a3efb51130aae23b484e3f7a99ea (MD5)\nlicense.html: 4806 bytes, checksum: ac283137d268f9bd9d442948f06fd596 (MD5)\n Previous issue date: 2017", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "25", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "Diracin yht\u00e4l\u00f6", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "aikariippuva", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "rinnakkaislaskenta", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Aikariippuvan Diracin yht\u00e4l\u00f6n numeerisesta ratkaisemisesta", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "bachelor thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201702091406", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Kandidaatintutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Bachelor's thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Informaatioteknologian tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Information Technology", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Informaatioteknologia", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Information Technology", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Tietotekniikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Mathematical Information Technology", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.date.updated", "value": "2017-02-09T14:48:21Z", "language": null, "element": "date", "qualifier": "updated", "schema": "dc"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_7a1f", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": "fi", "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "bachelorThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}]
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