{"id":"https://openalex.org/W2040890176","doi":"https://doi.org/10.1007/s006070170013","title":"Implementing Radau IIA Methods for Stiff Delay Differential Equations","display_name":"Implementing Radau IIA Methods for Stiff Delay Differential Equations","publication_year":2001,"publication_date":"2001-07-01","ids":{"openalex":"https://openalex.org/W2040890176","doi":"https://doi.org/10.1007/s006070170013","mag":"2040890176"},"language":"en","primary_location":{"id":"doi:10.1007/s006070170013","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s006070170013","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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/A5030219464","display_name":"Nicola Guglielmi","orcid":"https://orcid.org/0000-0003-3795-5225"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Nicola Guglielmi","raw_affiliation_strings":["Dip. di Matematica Pura e Applicata Universit\u00e0 dell'Aquila via Vetoio (Coppito) I-67010 L'Aquila Italy e-mail: guglielm@univaq.it, , , , , , IT","Dip. di Matematica Pura e Applicata Universit\u00e0 dell'Aquila via Vetoio (Coppito) I-67010 L'Aquila Italy e-mail: guglielm@univaq.it, IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Matematica Pura e Applicata Universit\u00e0 dell'Aquila via Vetoio (Coppito) I-67010 L'Aquila Italy e-mail: guglielm@univaq.it, , , , , , IT","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Dip. di Matematica Pura e Applicata Universit\u00e0 dell'Aquila via Vetoio (Coppito) I-67010 L'Aquila Italy e-mail: guglielm@univaq.it, IT","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026173495","display_name":"Ernst Hairer","orcid":"https://orcid.org/0000-0001-5057-2654"},"institutions":[{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"education","lineage":["https://openalex.org/I114457229"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Ernst Hairer","raw_affiliation_strings":["Section de Math\u00e9matiques Universit\u00e9 de Gen\u00e8ve CH-1211 Gen\u00e8ve 24 Switzerland e-mail: ernst.hairer@math.unige.ch, , , , , , CH","Section de Math\u00e9matiques Universit\u00e9 de Gen\u00e8ve CH-1211 Gen\u00e8ve 24 Switzerland e-mail: ernst.hairer@math.unige.ch, , CH"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section de Math\u00e9matiques Universit\u00e9 de Gen\u00e8ve CH-1211 Gen\u00e8ve 24 Switzerland e-mail: ernst.hairer@math.unige.ch, , , , , , CH","institution_ids":["https://openalex.org/I114457229"]},{"raw_affiliation_string":"Section de Math\u00e9matiques Universit\u00e9 de Gen\u00e8ve CH-1211 Gen\u00e8ve 24 Switzerland e-mail: ernst.hairer@math.unige.ch, , CH","institution_ids":["https://openalex.org/I114457229"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030219464"],"corresponding_institution_ids":["https://openalex.org/I26415053"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.5543,"has_fulltext":false,"cited_by_count":130,"citation_normalized_percentile":{"value":0.91891892,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"67","issue":"1","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.989300012588501,"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/delay-differential-equation","display_name":"Delay differential equation","score":0.6641085743904114},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.5718625783920288},{"id":"https://openalex.org/keywords/l-stability","display_name":"L-stability","score":0.5370755195617676},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5161119699478149},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.5105749368667603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48555561900138855},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.47548094391822815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46112459897994995},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.459725558757782},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45039552450180054},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4434260129928589},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44333186745643616},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3201982378959656},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2377380132675171},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.2043868899345398},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0681867003440857}],"concepts":[{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.6641085743904114},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.5718625783920288},{"id":"https://openalex.org/C165242687","wikidata":"https://www.wikidata.org/wiki/Q277932","display_name":"L-stability","level":5,"score":0.5370755195617676},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5161119699478149},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.5105749368667603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48555561900138855},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.47548094391822815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46112459897994995},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.459725558757782},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45039552450180054},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4434260129928589},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44333186745643616},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3201982378959656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2377380132675171},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.2043868899345398},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0681867003440857},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s006070170013","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s006070170013","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:unige.ch:aou:unige:12327","is_oa":false,"landing_page_url":"https://archive-ouverte.unige.ch/unige:12327","pdf_url":null,"source":{"id":"https://openalex.org/S4306402259","display_name":"Archive ouverte UNIGE (University of Geneva)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114457229","host_organization_name":"University of Geneva","host_organization_lineage":["https://openalex.org/I114457229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISSN: 0010-485X","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":14,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W201427451","https://openalex.org/W1509923322","https://openalex.org/W1547152071","https://openalex.org/W1579163684","https://openalex.org/W1976771036","https://openalex.org/W1995504856","https://openalex.org/W2003555753","https://openalex.org/W2023495544","https://openalex.org/W2027625462","https://openalex.org/W2030988262","https://openalex.org/W2067370838","https://openalex.org/W2090882633","https://openalex.org/W3209416867"],"related_works":["https://openalex.org/W3200408397","https://openalex.org/W3007631828","https://openalex.org/W2383357001","https://openalex.org/W2729625462","https://openalex.org/W2092811961","https://openalex.org/W2066191662","https://openalex.org/W1968004159","https://openalex.org/W797453289","https://openalex.org/W2359827457","https://openalex.org/W2000942513"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2025-10-10T00:00:00"}
