{"id":"https://openalex.org/W231473762","doi":"https://doi.org/10.1007/bf02241653","title":"Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative","display_name":"Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative","publication_year":1990,"publication_date":"1990-12-01","ids":{"openalex":"https://openalex.org/W231473762","doi":"https://doi.org/10.1007/bf02241653","mag":"231473762"},"language":"en","primary_location":{"id":"doi:10.1007/bf02241653","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02241653","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/A5103508990","display_name":"Ch. Lubich","orcid":null},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Ch. Lubich","raw_affiliation_strings":["Inst. f. Mathematik u. Geometrie, Universit\u00e4t Innsbruck, Technikerstr. 13, A-6020, Innsbruck, Austria","University of Innsbruck, Innsbruck, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inst. f. Mathematik u. Geometrie, Universit\u00e4t Innsbruck, Technikerstr. 13, A-6020, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]},{"raw_affiliation_string":"University of Innsbruck, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027898591","display_name":"M. Roche","orcid":"https://orcid.org/0009-0001-6348-7165"},"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":"M. Roche","raw_affiliation_strings":["Dept. de math\u00e9matiques, Universit\u00e9 de Gen\u00e8ve, Case postale 240, CH-1211, Gen\u00e8ve 24, Switzerland","Univ. de Gene`ve, Geneva, Switzerland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. de math\u00e9matiques, Universit\u00e9 de Gen\u00e8ve, Case postale 240, CH-1211, Gen\u00e8ve 24, Switzerland","institution_ids":["https://openalex.org/I114457229"]},{"raw_affiliation_string":"Univ. de Gene`ve, Geneva, Switzerland#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.01923077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"43","issue":"4","first_page":"325","last_page":"342"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9884999990463257,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9682000279426575,"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/mathematics","display_name":"Mathematics","score":0.739915668964386},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5864841938018799},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5853539109230042},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5352431535720825},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5253293514251709},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5133509039878845},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4836081564426422},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.48274415731430054},{"id":"https://openalex.org/keywords/singular-point-of-an-algebraic-variety","display_name":"Singular point of an algebraic variety","score":0.415892630815506},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.38775303959846497},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37854278087615967},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.30898505449295044},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.29925477504730225},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06436622142791748}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.739915668964386},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5864841938018799},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5853539109230042},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5352431535720825},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5253293514251709},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5133509039878845},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4836081564426422},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48274415731430054},{"id":"https://openalex.org/C201482947","wikidata":"https://www.wikidata.org/wiki/Q7524253","display_name":"Singular point of an algebraic variety","level":5,"score":0.415892630815506},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38775303959846497},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37854278087615967},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.30898505449295044},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.29925477504730225},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06436622142791748},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02241653","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02241653","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1509923322","https://openalex.org/W1592421646","https://openalex.org/W1973290097","https://openalex.org/W1982619063","https://openalex.org/W1991424184","https://openalex.org/W1993099049","https://openalex.org/W2000374946","https://openalex.org/W2003070699","https://openalex.org/W2042335087","https://openalex.org/W2042388195","https://openalex.org/W2073397264","https://openalex.org/W2115978272","https://openalex.org/W2125868177","https://openalex.org/W2159166167","https://openalex.org/W2981569720","https://openalex.org/W2984734426","https://openalex.org/W3149806409","https://openalex.org/W3209416867","https://openalex.org/W4293515545"],"related_works":["https://openalex.org/W2381012572","https://openalex.org/W2188669757","https://openalex.org/W4205469396","https://openalex.org/W2047656848","https://openalex.org/W2055765740","https://openalex.org/W2016399479","https://openalex.org/W98620387","https://openalex.org/W2153650232","https://openalex.org/W2369821862","https://openalex.org/W2352062907"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}