{"created":"2021-03-01T07:32:58.631808+00:00","id":52412,"links":{},"metadata":{"_buckets":{"deposit":"25b53e47-f6e0-43c1-a5b7-635153a90bd8"},"_deposit":{"id":"52412","owners":[],"pid":{"revision_id":0,"type":"depid","value":"52412"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00052412","sets":["152:1451","152:5654","3:62:5592:2037"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-07","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"384","bibliographicPageStart":"357","bibliographicVolumeNumber":"36","bibliographic_titles":[{},{"bibliographic_title":"Japan Journal of Industrial and Applied Mathematics","bibliographic_titleLang":"en"}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"This paper provides a methodology of verified computing for solutions to 1D advection equations with variable coefficients. The advection equation is typical partial differential equations (PDEs) of hyperbolic type. There are few results of verified numerical computations to initial-boundary value problems of hyperbolic PDEs. Our methodology is based on the spectral method and semigroup theory. The provided method in this paper is regarded as an efficient application of semigroup theory in a sequence space associated with the Fourier series of unknown functions. This is a foundational approach of verified numerical computations for hyperbolic PDEs. Numerical examples show that the rigorous error estimate showing the well-posedness of the exact solution is given with high accuracy and high speed.","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer"}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1007/s13160-019-00345-7","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© The JJIAM Publishing Committee and Springer 2011　The original publication is available at www.springerlink.com"}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0916-7005","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA10799861","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"高安, 亮紀"},{"creatorName":"タカヤス, アキトシ","creatorNameLang":"ja-Kana"},{"creatorName":"TAKAYASU, Akitoshi","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"遠藤, 靖典"},{"creatorName":"エンドウ, ヤスノリ","creatorNameLang":"ja-Kana"},{"creatorName":"ENDO, Yasunori","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"Yoon, Suro","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-07-01"}],"displaytype":"detail","filename":"JJIAM_36-2.pdf","filesize":[{"value":"534.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"JJIAM_36-2","url":"https://tsukuba.repo.nii.ac.jp/record/52412/files/JJIAM_36-2.pdf"},"version_id":"54bc9b3c-cb0c-4af8-b8df-b0482aec860e"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Rigorous numerical computations for 1D advection equations with variable coefficients","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Rigorous numerical computations for 1D advection equations with variable coefficients","subitem_title_language":"en"}]},"item_type_id":"5","owner":"1","path":["1451","5654","2037"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-10-02"},"publish_date":"2019-10-02","publish_status":"0","recid":"52412","relation_version_is_last":true,"title":["Rigorous numerical computations for 1D advection equations with variable coefficients"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:25:54.531412+00:00"}