{"created":"2023-06-20T15:07:31.125116+00:00","id":36884,"links":{},"metadata":{"_buckets":{"deposit":"3f09e3a2-7b16-4a45-8c90-e174a4e9cbf5"},"_deposit":{"created_by":1,"id":"36884","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"36884"},"status":"published"},"_oai":{"id":"oai:jaxa.repo.nii.ac.jp:00036884","sets":["1887:1891","1896:1898:1913:1915"]},"author_link":["478013","478011","478014","478012"],"item_5_alternative_title_2":{"attribute_name":"その他のタイトル（英）","attribute_value_mlt":[{"subitem_alternative_title":"Error estimate for one dimensional convective diffusion difference problems"}]},"item_5_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1997-01","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"142","bibliographicPageStart":"137","bibliographicVolumeNumber":"34","bibliographic_titles":[{"bibliographic_title":"航空宇宙技術研究所特別資料"},{"bibliographic_title":"Special Publication of National Aerospace Laboratory","bibliographic_titleLang":"en"}]}]},"item_5_description_14":{"attribute_name":"会議概要（会議名, 開催地, 会期, 主催者等）","attribute_value_mlt":[{"subitem_description":"航空宇宙技術研究所 6-7 JUN. 1996 東京 日本","subitem_description_type":"Other"}]},"item_5_description_15":{"attribute_name":"会議概要（会議名, 開催地, 会期, 主催者等）（英）","attribute_value_mlt":[{"subitem_description":"National Aerospace Laboratory 6-7 JUN. 1996 Tokyo Japan","subitem_description_type":"Other"}]},"item_5_description_16":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"空間1次元の一定係数移流拡散問題の有限差分近似に対する数学的解析の結果を述べた。空間微分作用素の有限差分近似として、4次以下の精度を有する差分作用素を考えた。1次微分作用素の時間方向の離散化については、その方法は、Runge-Kutta型法と呼ぶ最初のM+1項までの指数関数のテイラー・マクローリン展開の打切りに対応する。決まった明確なスキームの族に対してノイマン安定条件の特徴付けができた。ε安定性の概念を問題に対し提案した。安定性の概念は、正の小さなεにより決まるしきい値波長以上の波長に対応する、離散問題の解のフーリエ成分を無視したときの問題に対する安定性を意味する。ε安定性の概念を用いて、1次微分作用素を近似する河村型の3次風上公式の有効性を標準型の公式と比較して明らかにした。全離散問題に対するRunge-Kutta型法による安定性解析を、空間的に1次微分作用素の近似として採用した4次中心差分公式の場合の純移流問題に対して行った。L(exp 2)安定性を仮定したときのRunge-Kutta型法の誤差解析に関しては、真の解と近似解の間の誤差評価を導き出した。","subitem_description_type":"Abstract"}]},"item_5_description_17":{"attribute_name":"抄録（英）","attribute_value_mlt":[{"subitem_description":"Results on mathematical analysis for difference approximation of the constant coefficient convective diffusion problem with spatial dimension one are mentioned. As the difference approximation of spatial differential operators, difference operators with the order of accuracy less than or equal to four are considered. As for temporal discretization of the first differential operator, the methods correspond to the truncation of Taylor-Maclaurin expansion of exponential function up to the first M+1 terms, which are called the Runge-Kutta type method in the paper. The characterization of von Neumann stability condition for a certain family of explicit schemes is obtained. The concept of epsilon-stability is, then, proposed for the problems. The concept implies the stability for the problem under the neglect of the Fourier components of solution of discrete problem corresponding to the wavelengths longer than or equal to the threshold wavelength determined by the positive small epsilon. Using the epsilon-stability concept, the advantage of third order upwinding formula of Kawamura type approximating the first order differential operator is clarified in comparison with that of standard type. Stability analysis for the fully discrete problem with the Runge-Kutta type method is conducted for the purely convective problem in the case of fourth order central difference formulas adopted as the approximation of spatially first order differential operator. As for the error analysis of Runge-Kutta type method under the assumption of L(exp 2)-stability, an error estimate between the genuine solution and the approximate solution is derived.","subitem_description_type":"Other"}]},"item_5_description_32":{"attribute_name":"資料番号","attribute_value_mlt":[{"subitem_description":"資料番号: AA0000685025","subitem_description_type":"Other"}]},"item_5_description_33":{"attribute_name":"レポート番号","attribute_value_mlt":[{"subitem_description":"レポート番号: NAL SP-34","subitem_description_type":"Other"}]},"item_5_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"航空宇宙技術研究所"}]},"item_5_publisher_9":{"attribute_name":"出版者（英）","attribute_value_mlt":[{"subitem_publisher":"National Aerospace Laboratory (NAL)"}]},"item_5_source_id_21":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0289-260X","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_24":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10097345","subitem_source_identifier_type":"NCID"}]},"item_5_text_6":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"アーク情報システム 解析第一部"},{"subitem_text_value":"電気通信大学 情報工学科"}]},"item_5_text_7":{"attribute_name":"著者所属（英）","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Arc Information Systems Inc Numerical Analysis Division 1"},{"subitem_text_language":"en","subitem_text_value":"University of Electro-Communications Department of Computer Science and Information-Mathematics"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"名古屋, 靖一郎"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"牛島, 照夫"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Nagoya, Seiichiro","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Ushijima, Teruo","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":"2020-02-10"}],"displaytype":"detail","filename":"nalsp0034025.pdf","filesize":[{"value":"537.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"nalsp0034025.pdf","url":"https://jaxa.repo.nii.ac.jp/record/36884/files/nalsp0034025.pdf"},"version_id":"2c779401-c8da-4e13-98af-2419b9112490"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"移流拡散","subitem_subject_scheme":"Other"},{"subitem_subject":"有限差分問題","subitem_subject_scheme":"Other"},{"subitem_subject":"有限差分近似","subitem_subject_scheme":"Other"},{"subitem_subject":"空間微分作用素","subitem_subject_scheme":"Other"},{"subitem_subject":"時間方向離散化","subitem_subject_scheme":"Other"},{"subitem_subject":"テイラー・マクローリン展開","subitem_subject_scheme":"Other"},{"subitem_subject":"フォンノイマン安定","subitem_subject_scheme":"Other"},{"subitem_subject":"ε安定性","subitem_subject_scheme":"Other"},{"subitem_subject":"Runge-Kutta型法","subitem_subject_scheme":"Other"},{"subitem_subject":"しきい値波長","subitem_subject_scheme":"Other"},{"subitem_subject":"河村型風上公式","subitem_subject_scheme":"Other"},{"subitem_subject":"convective diffusion","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"difference problem","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"difference approximation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"spatial differential operator","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"temporal discretization","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Taylor Maclaurin expansion","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"von Neumann stability","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"epsilon stability","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Runge Kutta type method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"threshold wave length","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Kawamura type upwinding formula","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"conference paper","resourceuri":"http://purl.org/coar/resource_type/c_5794"}]},"item_title":"一次元移流拡散差分問題の誤差評価","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"一次元移流拡散差分問題の誤差評価"}]},"item_type_id":"5","owner":"1","path":["1891","1915"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-03-26"},"publish_date":"2015-03-26","publish_status":"0","recid":"36884","relation_version_is_last":true,"title":["一次元移流拡散差分問題の誤差評価"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-06-20T21:29:50.284569+00:00"}