{"id":"https://openalex.org/W1530830614","doi":"https://doi.org/10.1007/3-540-62598-4_138","title":"Two-step P-stable methods with phase-lag of order infinity for the numerical solution of special second order initial value problems","display_name":"Two-step P-stable methods with phase-lag of order infinity for the numerical solution of special second order initial value problems","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1530830614","doi":"https://doi.org/10.1007/3-540-62598-4_138","mag":"1530830614"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-62598-4_138","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62598-4_138","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5076393051","display_name":"P.S. Williams","orcid":null},"institutions":[{"id":"https://openalex.org/I126193024","display_name":"London Metropolitan University","ror":"https://ror.org/00ae33288","country_code":"GB","type":"education","lineage":["https://openalex.org/I126193024"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"P. S. Williams","raw_affiliation_strings":["Department CISM, London Guildhall University, London, UK"],"affiliations":[{"raw_affiliation_string":"Department CISM, London Guildhall University, London, UK","institution_ids":["https://openalex.org/I126193024"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112960033","display_name":"T. E. Simos","orcid":null},"institutions":[{"id":"https://openalex.org/I55741626","display_name":"Technical University of Crete","ror":"https://ror.org/03f8bz564","country_code":"GR","type":"education","lineage":["https://openalex.org/I55741626"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"T. E. Simos","raw_affiliation_strings":["Laboratory of Applied Mathematics and Computers, Technical University of Crete, Hania, Greece"],"affiliations":[{"raw_affiliation_string":"Laboratory of Applied Mathematics and Computers, Technical University of Crete, Hania, Greece","institution_ids":["https://openalex.org/I55741626"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076393051"],"corresponding_institution_ids":["https://openalex.org/I126193024"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.25,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"565","last_page":"572"},"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":0.9962999820709229,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/phase-lag","display_name":"Phase lag","score":0.8825850486755371},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7408024072647095},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.7084308862686157},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.6805276870727539},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6542450189590454},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5847355127334595},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5447550415992737},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5433834195137024},{"id":"https://openalex.org/keywords/lag","display_name":"Lag","score":0.5423210263252258},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.5124226212501526},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4841392934322357},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4259887933731079},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39705565571784973},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.28015363216400146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13454288244247437},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12123340368270874},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0474378764629364}],"concepts":[{"id":"https://openalex.org/C2983665814","wikidata":"https://www.wikidata.org/wiki/Q17120908","display_name":"Phase lag","level":2,"score":0.8825850486755371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7408024072647095},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7084308862686157},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.6805276870727539},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6542450189590454},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5847355127334595},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5447550415992737},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5433834195137024},{"id":"https://openalex.org/C75778745","wikidata":"https://www.wikidata.org/wiki/Q342626","display_name":"Lag","level":2,"score":0.5423210263252258},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.5124226212501526},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4841392934322357},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4259887933731079},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39705565571784973},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.28015363216400146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13454288244247437},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12123340368270874},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0474378764629364},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-62598-4_138","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62598-4_138","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1586797410","https://openalex.org/W1972279567","https://openalex.org/W1999390699","https://openalex.org/W1999895071","https://openalex.org/W2002340771","https://openalex.org/W2023167731","https://openalex.org/W2023695180","https://openalex.org/W2032715870","https://openalex.org/W2034182438","https://openalex.org/W2043229233","https://openalex.org/W2044912690","https://openalex.org/W2081913409","https://openalex.org/W2094540621","https://openalex.org/W2107379278","https://openalex.org/W2141131444","https://openalex.org/W2172044457","https://openalex.org/W2798456356"],"related_works":["https://openalex.org/W1992892240","https://openalex.org/W2883035977","https://openalex.org/W2463568733","https://openalex.org/W2047993249","https://openalex.org/W2386449147","https://openalex.org/W2167436245","https://openalex.org/W2011814227","https://openalex.org/W1675804924","https://openalex.org/W2016485062","https://openalex.org/W2003038114"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}