{"id":"https://openalex.org/W2080504923","doi":"https://doi.org/10.1007/s10444-007-9044-5","title":"Computing breaking points in implicit delay differential equations","display_name":"Computing breaking points in implicit delay differential equations","publication_year":2007,"publication_date":"2007-04-27","ids":{"openalex":"https://openalex.org/W2080504923","doi":"https://doi.org/10.1007/s10444-007-9044-5","mag":"2080504923"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-007-9044-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-007-9044-5","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://archive-ouverte.unige.ch/unige:5206","any_repository_has_fulltext":true},"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\u2019Aquila, via Vetoio (Coppito), I-67010, L\u2019Aquila, Italy","Dip. di Matematica Pura e Applicata, Universit\u00e0 dell\u2019Aquila, L\u2019Aquila, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Matematica Pura e Applicata, Universit\u00e0 dell\u2019Aquila, via Vetoio (Coppito), I-67010, L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Dip. di Matematica Pura e Applicata, Universit\u00e0 dell\u2019Aquila, L\u2019Aquila, Italy","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":["Department de Math\u00e9matiques, Universit\u00e9 de Gen\u00e8ve, CH-1211, Gen\u00e8ve 24, Switzerland","Dept. de math\u00e9matiques, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve 24, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department de Math\u00e9matiques, Universit\u00e9 de Gen\u00e8ve, CH-1211, Gen\u00e8ve 24, Switzerland","institution_ids":["https://openalex.org/I114457229"]},{"raw_affiliation_string":"Dept. de math\u00e9matiques, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve 24, Switzerland","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":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.1188,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.97641289,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"29","issue":"3","first_page":"229","last_page":"247"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9984999895095825,"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":0.9879000186920166,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6445052623748779},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.6214150190353394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5851706266403198},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.5726497173309326},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.500542163848877},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.495945543050766},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45321670174598694},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.44680890440940857},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4119695723056793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41172102093696594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34652984142303467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.258735328912735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21492305397987366}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6445052623748779},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.6214150190353394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5851706266403198},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.5726497173309326},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.500542163848877},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.495945543050766},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45321670174598694},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.44680890440940857},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4119695723056793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41172102093696594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34652984142303467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.258735328912735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21492305397987366},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-007-9044-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-007-9044-5","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:unige.ch:unige:5206","is_oa":true,"landing_page_url":"https://archive-ouverte.unige.ch/unige:5206","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"ISSN: 1019-7168","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:unige.ch:unige:5206","is_oa":true,"landing_page_url":"https://archive-ouverte.unige.ch/unige:5206","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"ISSN: 1019-7168","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W167578460","https://openalex.org/W1509923322","https://openalex.org/W1524473339","https://openalex.org/W1550341792","https://openalex.org/W1567668233","https://openalex.org/W1579163684","https://openalex.org/W1600945564","https://openalex.org/W1970816770","https://openalex.org/W1994813296","https://openalex.org/W1995504856","https://openalex.org/W2003555753","https://openalex.org/W2006380387","https://openalex.org/W2014172170","https://openalex.org/W2040890176","https://openalex.org/W2042388195","https://openalex.org/W2053185767","https://openalex.org/W2090882633","https://openalex.org/W2126227593","https://openalex.org/W2143938206","https://openalex.org/W2482061462","https://openalex.org/W2977318642","https://openalex.org/W3209416867","https://openalex.org/W4301046466","https://openalex.org/W6635892796"],"related_works":["https://openalex.org/W1261320338","https://openalex.org/W2056281781","https://openalex.org/W2942981489","https://openalex.org/W2924035449","https://openalex.org/W2086307616","https://openalex.org/W2954452568","https://openalex.org/W2903509708","https://openalex.org/W4388044483","https://openalex.org/W2035560597","https://openalex.org/W2977631248"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":8}],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2025-10-10T00:00:00"}
