{“id”:“https://openalex.org/W2963793984“,”doi“:”https://doi.org/10.1016/j.cam.2019.112352“,”title“:“求解具有Dirichlet边界条件的二阶线性Fredholm积分微分方程的快速多尺度Galerkin方法”,“display_name”:“求解带有Dirichllet边界条件的二阶线性Fredholdm积分微分方程式的快速多标度Galerkins方法”,”publication_year“:2020,”publication_date“:”2020-01-01“,”ids“:{”openalex“:”https://openalex.org/W2963793984“,”doi“:”https://doi.org/10.1016/j.cam.2019.112352“,”mag“:”2963793984“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/j.cam.2019.112352“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S165473669“,”display_name“:”计算与应用数学杂志“,”issn_l“:”0377-0427“,”isn“:[”0377-01427“、”1879-1778“],”is_oa“:false,”is-in_doaj“:false,”host_organization“:”https://openalex.org/P4310320990“,”host_organization_name“:”爱思唯尔BV“,”host_organization_lineage“:[”https://openalex.org/P4310320990“],”host_organization_lineage_names“:[”Elsevier BV“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”type“:”article“,”type_crossref“:“journal-article”,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”青铜“,”oa_url“:”https://doi.org/10.1016/j.cam.2019.112352“,”any_repository_has_fulltext“:false},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5005627824“,”display_name“:”Jian Chen“,”orcid“:”https://orcid.org/0000-0003-2154-7294},“机构”:[{“id”:https://openalex.org/I14894300“,”display_name“:”佛山大学“,”ror“:”https://ror.org/02xvvvp28“,”country_code“:”CN“,”type“:“教育”,”世系“:[”https://openalex.org/I14894300“]}],”国家“:[”CN“],”is_corresponding“:true,”raw_author_name“:”Jian Chen“,”rau_affiliation_strings“:[“佛山大学数学与大数据学院,佛山528000,中国”],”affiliations“:[{”raw_affiliation_string“:”佛山大学数学和大数据学院https://openalex.org/I14894300“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5085514390“,”display_name“:”明和“,”兽人“:”https://orcid.org/0000-0001-5773-250X},“机构”:[{“id”:https://openalex.org/I14894300“,”display_name“:”佛山大学“,”ror“:”https://ror.org/02xvvvp28“,”country_code“:”CN“,”type“:“教育”,”世系“:[”https://openalex.org/I14894300“]}],”国家“:[”CN“],”is_corresponding“:false,”raw_author_name“:”何敏凡“,”raw _ afiliation_strings“:[“佛山大学数学与大数据学院,佛山528000,中国”],”affiliations“:[{”raw_ afiliation _string“:”佛山大学数学和大数据学院https://openalex.org/I14894300“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5024766225“,”display_name“:”Yong Huang“,”orcid“:”https://orcid.org/0000-0001-6630-0506},“机构”:[{“id”:https://openalex.org/I14894300“,”display_name“:”佛山大学“,”ror“:”https://ror.org/02xvvvp28“,”country_code“:”CN“,”type“:“教育”,”世系“:[”https://openalex.org/I14894300“]}],”国家“:[”CN“],”is_corresponding“:false,”raw_author_name“:”Yong Huang“,”rau_affiliation_strings“:[“佛山大学数学与大数据学院,佛山528000,中国”],”affiliations“:[{”raw_affiliation_string“:”佛山大学数学和大数据学院https://openalex.org/I14894300“]}]}],”countries_disticont_count“:1,”institutions_disticent_count”:1,“corresponding_author_ids”:[“https://openalex.org/A5005627824“],”对应的机构ID“:[”https://openalex.org/I14894300“],”apc_list“:{”value“:3040,”currency“:”USD“,”value_USD“:3050,”provenance“:”doaj“},”apc _payed“:null,”has_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count“:19,”cited_by_percentile_year“:”{“min”:93,“max”:94},“biblio”:{“volume”:“364”,“issue”:null,“first_page”:“112352”,“last_page“:”112352“},”is_retracted“:false,”is_paratext“:false,”主主题“:{”id“:”https://openalex.org/T12100“,”“display_name”:“异构系统的多尺度方法”,“score”:1.0,“subfield”:{“id”:“https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T12100“,”display_name“:”异构系统的多尺度方法“,”score“:1.0,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12727“,”display_name“:”奇摄动问题的数值方法“,”score“:0.9994,”subfield“:{”id“:”https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10514“,”“display_name”:“断裂力学建模与仿真”,“score”:0.9994,“subfield”:{“id”:“https://openalex.org/subfields/2211“,”display_name“:”材料力学“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/multiscale-methods网站“,”display_name“:”Multiscale Methods“,”score“:0.505876}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.87658674},{”id“:”https://openalex.org/C186899397,“wikidata”:https://www.wikidata.org/wiki/Q1491980“,”display_name“:”Galerkin方法“,”level“:3,”score“:0.77676713},{”id“:”https://openalex.org/C89285879,“wikidata”:https://www.wikidata.org/wiki/Q2991898“,”display_name“:”Fredholm积分方程“,”level“:3,”score“:0.55570835},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.52693},{”id“:”https://openalex.org/C110167270,“wikidata”:https://www.wikidata.org/wiki/Q1193699“,”display_name“:”Dirichlet boundary condition“,”level“:3,”score“:0.5224877},{”id“:”https://openalex.org/C182310444,“wikidata”:https://www.wikidata.org/wiki/Q1332643“,”display_name“:”边界值问题“,”level“:2,”score“:0.50753963},{”id“:”https://openalex.org/C28826006,“wikidata”:https://www.wikidata.org/wiki/Q33521“,”display_name“:”应用数学“,”level“:1,”score“:0.45745718},{”id“:”https://openalex.org/C518188847,“wikidata”:https://www.wikidata.org/wiki/Q4455098“,”display_name“:”Fredholm theory“,”level“:4,”score“:0.45259735},{”id“:”https://openalex.org/C93779851,“wikidata”:https://www.wikidata.org/wiki/Q271977“,”display_name“:”偏微分方程“,”level“:2,”score“:0.4399654},{”id“:”https://openalex.org/C106487976,“wikidata”:https://www.wikidata.org/wiki/Q685816“,”display_name“:”Matrix(化学分析)“,”level“:2,”score“:0.42072648},{”id“:”https://openalex.org/C27016315,“wikidata”:https://www.wikidata.org/wiki/Q580101“,”display_name“:”积分方程“,”level“:2,”score“:0.33510137},{”id“:”https://openalex.org/C135628077,“wikidata”:https://www.wikidata.org/wiki/Q220184“,”display_name“:”有限元方法“,”level“:2,”score“:0.24707603},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”物理“,”级别“:0,”分数“:0.0},{”id“:”https://openalex.org/C97355855,“wikidata”:https://www.wikidata.org/wiki/Q11473“,”display_name“:”热力学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C192562407,“wikidata”:https://www.wikidata.org/wiki/Q228736“,”display_name“:”材料科学“,”level“:0,”score“:0.0},{”id“:”https://openalex.org/C159985019,“wikidata”:https://www.wikidata.org/wiki/Q181790“,”display_name“:”复合材质“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:1.”locations“:[{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/j.cam.2019.112352“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S165473669“,”display_name“:”计算与应用数学杂志“,”issn_l“:”0377-0427“,”isn“:[”0377-01427“、”1879-1778“],”is_oa“:false,”is-in_doaj“:false,”host_organization“:”https://openalex.org/P4310320990“,”host_organization_name“:”爱思唯尔BV“,”host_organization_lineage“:[”https://openalex.org/P4310320990“],”host_organization_lineage_names“:[”Elsevier BV“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true}],”best_oa_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/j.cam.2019.112352“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S165473669“,”display_name“:”计算与应用数学杂志“,”issn_l“:”0377-0427“,”isn“:[”0377-01427“、”1879-1778“],”is_oa“:false,”is-in_doaj“:false,”host_organization“:”https://openalex.org/P4310320990“,”host_organization_name“:”爱思唯尔BV“,”host_organization_lineage“:[”https://openalex.org/P4310320990“],”host_organization_lineage_names“:[”Elsevier BV“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”sustainable_development_goals“:[],”grants“:{”funder“:”https://openalex.org/F4320321001“,”“funder_display_name”:“中国国家自然科学基金”,“award_id”:null},{“funder”:“https://openalex.org/F4320321921“,”funder_display_name“:”广东省自然科学基金“,”award_id“:null}],”datasets“:[],”versions“:[[],”referenced_works_count“:20,”referrenced_works“:[”https://openalex.org/W1974737128","https://openalex.org/W1981652491","https://openalex.org/W1988831589","https://openalex.org/W1999623670","https://openalex.org/W2009630472","https://openalex.org/W2020854399","https://openalex.org/W2060315645","https://openalex.org/W2079192050","https://openalex.org/W2090305422","https://openalex.org/W2123103483","https://openalex.org/W2192924114","https://openalex.org/W2292122885","https://openalex.org/W2296066587","https://openalex.org/W2586208447","https://openalex.org/W2596720635","https://openalex.org/W2609638688","https://openalex.org/W2901581841","https://openalex.org/W2916723580","https://openalex.org/W3021528686","https://openalex.org/W750857168“],”related_works“:[”https://openalex.org/W3203395433","https://openalex.org/W2972080159","https://openalex.org/W2908503510","https://openalex.org/W2493083010","https://openalex.org/W2224175176","https://openalex.org/W2199927350","https://openalex.org/W2067960113","https://openalex.org/W2040589148","https://openalex.org/W2017640945","https://openalex.org/W148722298“],”ngrams_url“:”https://api.openalex.org/works/W2963793984/ngrams网站“,”“abstract_inverted_index”:{“In”:[0],“this”:[1],“paper”:[2],“a”:[3,27,58],“fast”:[4],“multiscale”:[5,86],“Galerkin”:[6,87],“method”:[7,23,42,88],“is”:[8,24,43],“developed”:[9],“for”:[10],“solving”:[11],“second”:[12],“order”:[13,50],“linear”:[14]5.53],“Fredholm”:[15],“积分微分”:[16],“方程”:[17],“with”:[18,81],“Dirichlet”:[19],“边界“:[20],”条件。“:[21],“The”:[22],“based”:[25],“on”:[26],“matrix”:[28,36],“truncation”:[29],“strategy”:[30],“which”:[31],“leads”:[32],“to”:[33,57,65,76],“generating”:[34],“coefficient”:[35],“rapidly”。“:[37],“We”:[38],“prove”:[39],“that”:[40],“the”:[41,78,84,92],“stable”:[44],“and”:[45,51,72,75],“has”:[46],“an”:[47],“optimal”:[C8],“converge”:[49],“nearly”:[52],“computerative”:[P4,68],“complexity”:[55],“(up”:[56],“logistical”:[59],“factor)。“:[60],“数值”:[61],“示例”:[62],“是”:[63],“表示”:[64],“图解”:[66],“它的”:[67],“效率”,:[69],“近似值”:[70],“精度”:[71],“理论”:[73],“结果”:[74],“比较”:[77],“计算”:[79],“成果”:[80],“那些”:[82],“的”:+83],“原始”:[85],“建议的”:[89],“最近”:[90],“作者”:[91],“相同”:[93],“作家”。“:[94]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W2963793984“,”counts_by_year“:[{“年”:2024,”cited_by_count“:2},{“年份”:2023,”ciped_by_cunt“:3},”{“年度”:2022,“cited_by_count”:7},“年份”:2021,”cited_by_count