{"id":"https://openalex.org/W2055500337","doi":"https://doi.org/10.1080/00207169708804557","title":"A variable-step variable-order algorithm for systems of stiff odes","display_name":"A variable-step variable-order algorithm for systems of stiff odes","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2055500337","doi":"https://doi.org/10.1080/00207169708804557","mag":"2055500337"},"language":"en","primary_location":{"id":"doi:10.1080/00207169708804557","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804557","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5027362515","display_name":"Tanja Van Hecke","orcid":"https://orcid.org/0000-0003-4710-8249"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"T. Van Hecke","raw_affiliation_strings":["Vakgroep Toegepaste Wiskunde en Informatica Universiteit-Gent, Krijgslaan 281-S9, Gent, B9000, Belgium","Vakgroep Toegepaste Wiskunde en Informatica , Universiteit-Gent , Krijgslaan 281-S9, Gent, B9000, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vakgroep Toegepaste Wiskunde en Informatica Universiteit-Gent, Krijgslaan 281-S9, Gent, B9000, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Vakgroep Toegepaste Wiskunde en Informatica , Universiteit-Gent , Krijgslaan 281-S9, Gent, B9000, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036599342","display_name":"G. Vanden Berghe","orcid":"https://orcid.org/0000-0002-7215-9446"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"G. Vanden G Berghe","raw_affiliation_strings":["Vakgroep Toegepaste Wiskunde en Informatica Universiteit-Gent, Krijgslaan 281-S9, Gent, B9000, Belgium","Vakgroep Toegepaste Wiskunde en Informatica , Universiteit-Gent , Krijgslaan 281-S9, Gent, B9000, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vakgroep Toegepaste Wiskunde en Informatica Universiteit-Gent, Krijgslaan 281-S9, Gent, B9000, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Vakgroep Toegepaste Wiskunde en Informatica , Universiteit-Gent , Krijgslaan 281-S9, Gent, B9000, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088494720","display_name":"Maarten Van Daele","orcid":"https://orcid.org/0000-0002-8530-4438"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"M. Van Daele","raw_affiliation_strings":["Vakgroep Toegepaste Wiskunde en Informatica Universiteit-Gent, Krijgslaan 281-S9, Gent, B9000, Belgium","Vakgroep Toegepaste Wiskunde en Informatica , Universiteit-Gent , Krijgslaan 281-S9, Gent, B9000, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vakgroep Toegepaste Wiskunde en Informatica Universiteit-Gent, Krijgslaan 281-S9, Gent, B9000, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Vakgroep Toegepaste Wiskunde en Informatica , Universiteit-Gent , Krijgslaan 281-S9, Gent, B9000, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109967168","display_name":"H. De Meyer","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"H De Meyer","raw_affiliation_strings":["Vakgroep Toegepaste Wiskunde en Informatica Universiteit-Gent, Krijgslaan 281-S9, Gent, B9000, Belgium","Vakgroep Toegepaste Wiskunde en Informatica , Universiteit-Gent , Krijgslaan 281-S9, Gent, B9000, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vakgroep Toegepaste Wiskunde en Informatica Universiteit-Gent, Krijgslaan 281-S9, Gent, B9000, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Vakgroep Toegepaste Wiskunde en Informatica , Universiteit-Gent , Krijgslaan 281-S9, Gent, B9000, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":null,"apc_paid":null,"fwci":1.4581,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8176233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"63","issue":"1-2","first_page":"149","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7691391706466675},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.7670904397964478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7457764744758606},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.570483922958374},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4743296504020691},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4162834882736206},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3418869376182556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2126842439174652},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1353590190410614}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7691391706466675},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.7670904397964478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7457764744758606},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.570483922958374},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4743296504020691},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4162834882736206},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3418869376182556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2126842439174652},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1353590190410614},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207169708804557","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804557","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:182108","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/182108","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0020-7160","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W42591571","https://openalex.org/W1509923322","https://openalex.org/W1985950237","https://openalex.org/W2018003366","https://openalex.org/W2030757524","https://openalex.org/W2035834623","https://openalex.org/W2039566479","https://openalex.org/W2087465038","https://openalex.org/W2100390535","https://openalex.org/W2144144709","https://openalex.org/W2318582122","https://openalex.org/W4293515545"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W2048742619","https://openalex.org/W2384641672","https://openalex.org/W2742179975","https://openalex.org/W2362647823"],"abstract_inverted_index":{"A":[0],"variable-step":[1],"variable-order":[2],"algorithm":[3],"for":[4,26],"stiff":[5],"ODEs":[6,29],"based":[7],"on":[8,22],"previously":[9],"derived":[10],"stabilized":[11],"extended":[12],"one-step":[13],"methods":[14],"is":[15,20],"established.":[16],"The":[17],"developed":[18],"code":[19],"tested":[21],"certain":[23],"initial-value":[24],"problems":[25],"systems":[27],"of":[28],"contained":[30],"in":[31],"the":[32],"test":[33],"set":[34],"proposed":[35],"by":[36],"CWI":[37]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
