WEKO3
アイテム
{"_buckets": {"deposit": "6c38351e-3d8c-4bc4-ac81-cce18d3c3ac3"}, "_deposit": {"created_by": 1, "id": "1269", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "1269"}, "status": "published"}, "_oai": {"id": "oai:chuo-u.repo.nii.ac.jp:00001269", "sets": ["119"]}, "author_link": ["23797", "23371", "23798", "23368"], "item_10002_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2001-03-31", "bibliographicIssueDateType": "Issued"}, "bibliographicPageEnd": "28", "bibliographicPageStart": "19", "bibliographicVolumeNumber": "6", "bibliographic_titles": [{"bibliographic_title": "中央大学理工学研究所論文集"}]}]}, "item_10002_description_19": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_10002_description_5": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Nonlinear boundary value problems often have several solutions. In such a case, it is important to find all solutions of the finite difference equations that describe the nonlinear boundary value problems. Various algorithms have been proposed for finding all solutions of nonlinear equations. However, since the computation time of most of these algorithms grows exponentially with the number of variables, it is difficult to apply them to finite difference equations that generally consist of many variables. Recently, an efficient algorithm has been proposed for finding all solutions of piecewise-linear resistive circuits using linear programming. In this paper, we apply this algorithm to a class of nonlinear two-point boundary value problems. By numerical examples, it is shown that the algorithm could find all solutions of systems of 300 finite difference equations (where the number of linear regions is 10300) in practical computation time using a 360MHz computer.", "subitem_description_type": "Abstract"}]}, "item_10002_description_6": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "【査読有】", "subitem_description_type": "Other"}]}, "item_10002_full_name_32": {"attribute_name": "著者別名(英)", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "23371", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "YAMAMURA, Kiyotaka", "nameLang": "en"}]}, {"nameIdentifiers": [{"nameIdentifier": "23798", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "TAKAHASHI, Tomohiro", "nameLang": "en"}]}, {"nameIdentifiers": [{"nameIdentifier": "23368", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "KOBAYASHI, Kazuya", "nameLang": "en"}]}]}, "item_10002_identifier_registration": {"attribute_name": "ID登録", "attribute_value_mlt": [{"subitem_identifier_reg_text": "10.24789/00001259", "subitem_identifier_reg_type": "JaLC"}]}, "item_10002_publisher_8": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "中央大学理工学研究所"}]}, "item_10002_rights_15": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。"}]}, "item_10002_source_id_9": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1343-0068", "subitem_source_identifier_type": "ISSN"}]}, "item_10002_version_type_20": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "山村, 清隆"}, {"creatorName": "ヤマムラ, キヨタカ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "23371", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "高橋, 朋弘"}, {"creatorName": "タカハシ, トモヒロ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "23797", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "小林, 一哉"}, {"creatorName": "コバヤシ, カズヤ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "23368", "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": "2019-04-22"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "1343_0068~6~~19.pdf", "filesize": [{"value": "213.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 213200.0, "url": {"label": "本文を見る(PDFファイル)", "url": "https://chuo-u.repo.nii.ac.jp/record/1269/files/1343_0068~6~~19.pdf"}, "version_id": "63f03804-bcff-4d1d-ae40-afea7652fe05"}]}, "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": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "線形計画法を用いたあるクラスの非線形 2 点境界値問題の全解探索法", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "線形計画法を用いたあるクラスの非線形 2 点境界値問題の全解探索法"}, {"subitem_title": "Finding All Solutions of a Class of Nonlinear Two-Point Boundary Value Problems Using Linear Programming", "subitem_title_language": "en"}]}, "item_type_id": "10002", "owner": "1", "path": ["119"], "permalink_uri": "https://doi.org/10.24789/00001259", "pubdate": {"attribute_name": "公開日", "attribute_value": "2012-10-01"}, "publish_date": "2012-10-01", "publish_status": "0", "recid": "1269", "relation": {}, "relation_version_is_last": true, "title": ["線形計画法を用いたあるクラスの非線形 2 点境界値問題の全解探索法"], "weko_shared_id": -1}
線形計画法を用いたあるクラスの非線形 2 点境界値問題の全解探索法
https://doi.org/10.24789/00001259
https://doi.org/10.24789/000012597532e600-1f3a-4a6e-b861-e758c8268a7f
名前 / ファイル | ライセンス | アクション |
---|---|---|
本文を見る(PDFファイル) (213.2 kB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2012-10-01 | |||||
タイトル | ||||||
タイトル | 線形計画法を用いたあるクラスの非線形 2 点境界値問題の全解探索法 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Finding All Solutions of a Class of Nonlinear Two-Point Boundary Value Problems Using Linear Programming | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.24789/00001259 | |||||
ID登録タイプ | JaLC | |||||
著者 |
山村, 清隆
× 山村, 清隆× 高橋, 朋弘× 小林, 一哉 |
|||||
著者別名(英) | ||||||
姓名 | YAMAMURA, Kiyotaka | |||||
言語 | en | |||||
著者別名(英) | ||||||
姓名 | TAKAHASHI, Tomohiro | |||||
言語 | en | |||||
著者別名(英) | ||||||
姓名 | KOBAYASHI, Kazuya | |||||
言語 | en | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Nonlinear boundary value problems often have several solutions. In such a case, it is important to find all solutions of the finite difference equations that describe the nonlinear boundary value problems. Various algorithms have been proposed for finding all solutions of nonlinear equations. However, since the computation time of most of these algorithms grows exponentially with the number of variables, it is difficult to apply them to finite difference equations that generally consist of many variables. Recently, an efficient algorithm has been proposed for finding all solutions of piecewise-linear resistive circuits using linear programming. In this paper, we apply this algorithm to a class of nonlinear two-point boundary value problems. By numerical examples, it is shown that the algorithm could find all solutions of systems of 300 finite difference equations (where the number of linear regions is 10300) in practical computation time using a 360MHz computer. | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 【査読有】 | |||||
書誌情報 |
中央大学理工学研究所論文集 巻 6, p. 19-28, 発行日 2001-03-31 |
|||||
出版者 | ||||||
出版者 | 中央大学理工学研究所 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1343-0068 | |||||
権利 | ||||||
権利情報 | この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |