{"id":"https://openalex.org/W1534291106","doi":"https://doi.org/10.1007/bf02238291","title":"A note on stability investigations for Rosenbrock-type methods for quasilinear-implicit differential equations","display_name":"A note on stability investigations for Rosenbrock-type methods for quasilinear-implicit differential equations","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W1534291106","doi":"https://doi.org/10.1007/bf02238291","mag":"1534291106"},"language":"en","primary_location":{"id":"doi:10.1007/bf02238291","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02238291","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/A5088946290","display_name":"Mario B\u00fcttner","orcid":null},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"M. B\u00fcttner","raw_affiliation_strings":["Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, D-06009, Halle, Federal Republic of Germany","Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, Halle, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, D-06009, Halle, Federal Republic of Germany","institution_ids":["https://openalex.org/I68956291"]},{"raw_affiliation_string":"Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, Halle, Federal Republic of Germany","institution_ids":["https://openalex.org/I68956291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109304026","display_name":"R. Weiner","orcid":null},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Weiner","raw_affiliation_strings":["Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, D-06009, Halle, Federal Republic of Germany","Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, Halle, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, D-06009, Halle, Federal Republic of Germany","institution_ids":["https://openalex.org/I68956291"]},{"raw_affiliation_string":"Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, Halle, Federal Republic of Germany","institution_ids":["https://openalex.org/I68956291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013924270","display_name":"K. Strehmel","orcid":null},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"K. Strehmel","raw_affiliation_strings":["Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, D-06009, Halle, Federal Republic of Germany","Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, Halle, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, D-06009, Halle, Federal Republic of Germany","institution_ids":["https://openalex.org/I68956291"]},{"raw_affiliation_string":"Institut f\u00fcr Numerische Mathematik Fachbereich Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, Halle, Federal Republic of Germany","institution_ids":["https://openalex.org/I68956291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088946290"],"corresponding_institution_ids":["https://openalex.org/I68956291"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07590306,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"1","first_page":"47","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7891038656234741},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6602119207382202},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5893228650093079},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5892106890678406},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.58329838514328},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5456491112709045},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5420011878013611},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5407983660697937},{"id":"https://openalex.org/keywords/l-stability","display_name":"L-stability","score":0.5129837393760681},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.505249559879303},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.44225138425827026},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.43742966651916504},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4309689998626709},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3856087327003479},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.35128629207611084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2375301718711853},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2002587616443634},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.1849888265132904},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.05639302730560303},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.04634207487106323}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7891038656234741},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6602119207382202},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5893228650093079},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5892106890678406},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.58329838514328},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5456491112709045},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5420011878013611},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5407983660697937},{"id":"https://openalex.org/C165242687","wikidata":"https://www.wikidata.org/wiki/Q277932","display_name":"L-stability","level":5,"score":0.5129837393760681},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.505249559879303},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.44225138425827026},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.43742966651916504},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4309689998626709},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3856087327003479},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.35128629207611084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2375301718711853},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2002587616443634},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.1849888265132904},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.05639302730560303},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.04634207487106323},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02238291","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02238291","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:CiteSeerX.psu:10.1.1.50.3197","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.3197","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathematik.uni-halle.de/reports/sources/1994/94-02report.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W231473762","https://openalex.org/W1991424184","https://openalex.org/W1995504856","https://openalex.org/W1998366068","https://openalex.org/W2041519450","https://openalex.org/W2125868177","https://openalex.org/W4293515545"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2996841952","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4288093367","https://openalex.org/W4382202915"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}