{"id":"https://openalex.org/W2002670968","doi":"https://doi.org/10.1145/1088252.1088256","title":"The use of formula manipulation systems to compute asymptotic expansions","display_name":"The use of formula manipulation systems to compute asymptotic expansions","publication_year":1977,"publication_date":"1977-11-01","ids":{"openalex":"https://openalex.org/W2002670968","doi":"https://doi.org/10.1145/1088252.1088256","mag":"2002670968"},"language":"en","primary_location":{"id":"doi:10.1145/1088252.1088256","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1088252.1088256","pdf_url":null,"source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111227241","display_name":"Felipe Queiroz","orcid":null},"institutions":[{"id":"https://openalex.org/I48057805","display_name":"Instituto Gulbenkian de Ci\u00eancia","ror":"https://ror.org/04b08hq31","country_code":"PT","type":"education","lineage":["https://openalex.org/I48057805"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"F. Teixeira de Queiroz","raw_affiliation_strings":["Institute Gulbenkian of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute Gulbenkian of Science","institution_ids":["https://openalex.org/I48057805"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111227241"],"corresponding_institution_ids":["https://openalex.org/I48057805"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1466262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11-12","issue":"4-1","first_page":"11","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9013000130653381,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9013000130653381,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5042365789413452},{"id":"https://openalex.org/keywords/method-of-matched-asymptotic-expansions","display_name":"Method of matched asymptotic expansions","score":0.4332701563835144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42971402406692505},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3823772370815277},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37389814853668213},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23560044169425964},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.2063901424407959},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.07268649339675903},{"id":"https://openalex.org/keywords/orthodontics","display_name":"Orthodontics","score":0.07161623239517212}],"concepts":[{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5042365789413452},{"id":"https://openalex.org/C89407435","wikidata":"https://www.wikidata.org/wiki/Q17098224","display_name":"Method of matched asymptotic expansions","level":3,"score":0.4332701563835144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42971402406692505},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3823772370815277},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37389814853668213},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23560044169425964},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.2063901424407959},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.07268649339675903},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.07161623239517212}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1088252.1088256","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1088252.1088256","pdf_url":null,"source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W574044898","https://openalex.org/W2915818470"],"related_works":["https://openalex.org/W2363543420","https://openalex.org/W4230623537","https://openalex.org/W2063488590","https://openalex.org/W2351859806","https://openalex.org/W4239376463","https://openalex.org/W2089811522","https://openalex.org/W2010068234","https://openalex.org/W2092244978","https://openalex.org/W2613209927","https://openalex.org/W1983663462"],"abstract_inverted_index":{"The":[0],"resolution":[1],"of":[2],"differential":[3],"equations":[4],"using":[5],"assymptotic":[6],"expansions":[7],"may":[8],"be":[9],"a":[10],"good":[11],"method":[12],"for":[13],"testing":[14],"formula":[15],"manipulation":[16],"systems.":[17]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}