{"created":"2021-03-01T06:59:30.601261+00:00","id":39954,"links":{},"metadata":{"_buckets":{"deposit":"8dfe131b-ee64-45d8-b94b-7cb8dc67a3f5"},"_deposit":{"id":"39954","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39954"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00039954","sets":["312:6865:6866:6871","9:504:6868:6869:6872"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-01-25","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"380","bibliographicPageStart":"349","bibliographicVolumeNumber":"23","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Finite-difference schemes for computing blow-up solutions of one dimensional nonlinear wave equations are presented. By applying time increments control technique, we can introduce a numerical blow-up time which is an approximation of the exact blowup time of the nonlinear wave equation. After having verified the convergence of our proposed schemes, we prove that solutions of those finite-difference schemes actually blow up in the corresponding numerical blow-up times.Then, we prove that the numerical blow-up time converges to the exact blow-up time as the discretization parameters tend to zero.Sev eral numerical examples that confirm the validity of our theoretical results are also offered.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"35L71(MSC2010)"},{"subitem_text_value":"35B44(MSC2010)"},{"subitem_text_value":"65M06(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2014-07-22"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Saito, Norikazu"}],"nameIdentifiers":[{"nameIdentifier":"92359","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Sasaki, Takiko"}],"nameIdentifiers":[{"nameIdentifier":"92360","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-14"}],"displaytype":"detail","filename":"jms230103.pdf","filesize":[{"value":"1.0 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms230103.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/39954/files/jms230103.pdf"},"version_id":"4b16a44b-38aa-4f9e-b512-b95b83345a53"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Nonlinear wave equation","subitem_subject_scheme":"Other"},{"subitem_subject":"blow-up","subitem_subject_scheme":"Other"},{"subitem_subject":"finite-difference method","subitem_subject_scheme":"Other"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Blow-Up of Finite-Difference Solutions to Nonlinear Wave Equations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Blow-Up of Finite-Difference Solutions to Nonlinear Wave Equations"}]},"item_type_id":"4","owner":"1","path":["6871","6872"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-01-25"},"publish_date":"2017-01-25","publish_status":"0","recid":"39954","relation_version_is_last":true,"title":["Blow-Up of Finite-Difference Solutions to Nonlinear Wave Equations"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:46.542877+00:00"}