{"id":"https://openalex.org/W3011069163","doi":"https://doi.org/10.1007/s11786-020-00465-1","title":"Explicit Formulae for Integro-Differential Operational Matrices","display_name":"Explicit Formulae for Integro-Differential Operational Matrices","publication_year":2020,"publication_date":"2020-03-12","ids":{"openalex":"https://openalex.org/W3011069163","doi":"https://doi.org/10.1007/s11786-020-00465-1","mag":"3011069163"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-020-00465-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-020-00465-1","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","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/A5014495885","display_name":"Jos\u00e9 M. A. Matos","orcid":"https://orcid.org/0000-0003-3512-5930"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I4392738089","display_name":"Instituto Superior de Engenharia do Porto","ror":"https://ror.org/04h7zpy51","country_code":null,"type":"facility","lineage":["https://openalex.org/I4392738089","https://openalex.org/I83863532"]},{"id":"https://openalex.org/I83863532","display_name":"Polytechnic Institute of Porto","ror":"https://ror.org/04988re48","country_code":"PT","type":"education","lineage":["https://openalex.org/I83863532"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 M. A. Matos","raw_affiliation_strings":["Centro de Matem\u00e1tica da, Universidade do Porto, Porto, Portugal","Laborat\u00f3rio de Engenharia Matem\u00e1tica, Instituto Superior de Engenharia do Porto, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"Centro de Matem\u00e1tica da, Universidade do Porto, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]},{"raw_affiliation_string":"Laborat\u00f3rio de Engenharia Matem\u00e1tica, Instituto Superior de Engenharia do Porto, Porto, Portugal","institution_ids":["https://openalex.org/I83863532","https://openalex.org/I4392738089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066817202","display_name":"Maria Jo\u00e3o Rodrigues","orcid":"https://orcid.org/0000-0003-1451-4777"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Maria Jo\u00e3o Rodrigues","raw_affiliation_strings":["Centro de Matem\u00e1tica da, Universidade do Porto, Porto, Portugal","Faculdade de Ci\u00eancias da, Universidade do Porto, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"Centro de Matem\u00e1tica da, Universidade do Porto, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]},{"raw_affiliation_string":"Faculdade de Ci\u00eancias da, Universidade do Porto, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045079279","display_name":"Jo\u00e3o Carrilho de Matos","orcid":null},"institutions":[{"id":"https://openalex.org/I83863532","display_name":"Polytechnic Institute of Porto","ror":"https://ror.org/04988re48","country_code":"PT","type":"education","lineage":["https://openalex.org/I83863532"]},{"id":"https://openalex.org/I4392738089","display_name":"Instituto Superior de Engenharia do Porto","ror":"https://ror.org/04h7zpy51","country_code":null,"type":"facility","lineage":["https://openalex.org/I4392738089","https://openalex.org/I83863532"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jo\u00e3o Carrilho de Matos","raw_affiliation_strings":["Laborat\u00f3rio de Engenharia Matem\u00e1tica, Instituto Superior de Engenharia do Porto, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio de Engenharia Matem\u00e1tica, Instituto Superior de Engenharia do Porto, Porto, Portugal","institution_ids":["https://openalex.org/I83863532","https://openalex.org/I4392738089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014495885"],"corresponding_institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4392738089","https://openalex.org/I83863532"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2921,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45054768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"1","first_page":"45","last_page":"61"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9955000281333923,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8377224206924438},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.642698347568512},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.6304976344108582},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.5067172646522522},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.43790191411972046},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4331284761428833},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.41986677050590515},{"id":"https://openalex.org/keywords/orthogonal-functions","display_name":"Orthogonal functions","score":0.41965770721435547},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4182550311088562},{"id":"https://openalex.org/keywords/explicit-formulae","display_name":"Explicit formulae","score":0.4136219620704651},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40937113761901855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24646833539009094}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8377224206924438},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.642698347568512},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.6304976344108582},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.5067172646522522},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.43790191411972046},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4331284761428833},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.41986677050590515},{"id":"https://openalex.org/C135925592","wikidata":"https://www.wikidata.org/wiki/Q2637908","display_name":"Orthogonal functions","level":2,"score":0.41965770721435547},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4182550311088562},{"id":"https://openalex.org/C27783845","wikidata":"https://www.wikidata.org/wiki/Q5421272","display_name":"Explicit formulae","level":2,"score":0.4136219620704651},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40937113761901855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24646833539009094},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11786-020-00465-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-020-00465-1","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W226168478","https://openalex.org/W1971409566","https://openalex.org/W1994522942","https://openalex.org/W2028017249","https://openalex.org/W2032929684","https://openalex.org/W2049158879","https://openalex.org/W2051090703","https://openalex.org/W2058160446","https://openalex.org/W2058822167","https://openalex.org/W2068207468","https://openalex.org/W2079066937","https://openalex.org/W2092611097","https://openalex.org/W2158575547","https://openalex.org/W2293761540","https://openalex.org/W2560782432","https://openalex.org/W2754777595","https://openalex.org/W2790715563","https://openalex.org/W2793582427","https://openalex.org/W2801179766","https://openalex.org/W2962986325","https://openalex.org/W2985609496","https://openalex.org/W4298242891","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W936279937","https://openalex.org/W2493096353","https://openalex.org/W3125460591","https://openalex.org/W2315587880","https://openalex.org/W4300493934","https://openalex.org/W2951709720","https://openalex.org/W2054919795","https://openalex.org/W3039280227","https://openalex.org/W4309856668","https://openalex.org/W2031138407"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
