{"id":"https://openalex.org/W2098352313","doi":"https://doi.org/10.1080/00207160008804900","title":"A two step method for the numerical integration of stiff differential equations","display_name":"A two step method for the numerical integration of stiff differential equations","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2098352313","doi":"https://doi.org/10.1080/00207160008804900","mag":"2098352313"},"language":"en","primary_location":{"id":"doi:10.1080/00207160008804900","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008804900","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5046497623","display_name":"Hasan Bulut","orcid":"https://orcid.org/0000-0002-6089-1517"},"institutions":[{"id":"https://openalex.org/I143396566","display_name":"F\u0131rat University","ror":"https://ror.org/05teb7b63","country_code":"TR","type":"education","lineage":["https://openalex.org/I143396566"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"H Bulut","raw_affiliation_strings":["\n                   \n               Department of Mathematics, Firat University, Elazig, 23119, Turkey","Department of Mathematics , Firat University , Elazig, 23119, Turkey"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Mathematics, Firat University, Elazig, 23119, Turkey","institution_ids":["https://openalex.org/I143396566"]},{"raw_affiliation_string":"Department of Mathematics , Firat University , Elazig, 23119, Turkey","institution_ids":["https://openalex.org/I143396566"]}]},{"author_position":"last","author":{"id":null,"display_name":"M Inc","orcid":null},"institutions":[{"id":"https://openalex.org/I143396566","display_name":"F\u0131rat University","ror":"https://ror.org/05teb7b63","country_code":"TR","type":"education","lineage":["https://openalex.org/I143396566"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"M Inc","raw_affiliation_strings":["\n                   \n               Department of Mathematics, Firat University, Elazig, 23119, Turkey"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Mathematics, Firat University, Elazig, 23119, Turkey","institution_ids":["https://openalex.org/I143396566"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046497623"],"corresponding_institution_ids":["https://openalex.org/I143396566"],"apc_list":null,"apc_paid":null,"fwci":1.0486,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8045977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"3","first_page":"333","last_page":"340"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994000196456909,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9969000220298767,"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/backward-differentiation-formula","display_name":"Backward differentiation formula","score":0.6936628818511963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.693570613861084},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.5726242661476135},{"id":"https://openalex.org/keywords/numerical-methods-for-ordinary-differential-equations","display_name":"Numerical methods for ordinary differential equations","score":0.525123655796051},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.48208194971084595},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4820731282234192},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4622070789337158},{"id":"https://openalex.org/keywords/exponential-integrator","display_name":"Exponential integrator","score":0.4427400231361389},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4103413224220276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3827054500579834},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.356428325176239},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.3184176981449127},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.28418147563934326},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.2333677113056183}],"concepts":[{"id":"https://openalex.org/C152522140","wikidata":"https://www.wikidata.org/wiki/Q795746","display_name":"Backward differentiation formula","level":5,"score":0.6936628818511963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.693570613861084},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.5726242661476135},{"id":"https://openalex.org/C1164432","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Numerical methods for ordinary differential equations","level":5,"score":0.525123655796051},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.48208194971084595},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4820731282234192},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4622070789337158},{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.4427400231361389},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4103413224220276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3827054500579834},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.356428325176239},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.3184176981449127},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.28418147563934326},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.2333677113056183},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160008804900","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008804900","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1985950237","https://openalex.org/W2010069926","https://openalex.org/W2018003366","https://openalex.org/W2970760985"],"related_works":["https://openalex.org/W832825236","https://openalex.org/W4211042180","https://openalex.org/W1843663759","https://openalex.org/W2378531610","https://openalex.org/W2088005785","https://openalex.org/W2278428637","https://openalex.org/W3017026185","https://openalex.org/W3022577984","https://openalex.org/W2022154414","https://openalex.org/W1984779578"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"examine":[2],"a":[3,11,33],"single-step":[4],"implicit-integration":[5],"algorithm":[6],"which":[7],"is":[8,32],"obtained":[9,29],"by":[10],"modification":[12],"of":[13,23,41,43,52],"the":[14,39,44,50],"well-known":[15],"Simpson":[16,45],"rule.":[17,46],"The":[18,28],"accuracy":[19],"and":[20,37],"stability":[21],"properties":[22],"these":[24],"methods":[25],"are":[26],"investigated.":[27],"new":[30],"method":[31],"fourth-order":[34],"numerical":[35],"process":[36],"preserves":[38],"property":[40],"A-stability":[42],"Numerical":[47],"results":[48],"for":[49],"solution":[51],"certain":[53],"stiff":[54],"equations.":[55],"Keywords:":[56],"One-step":[57],"methodsstiff":[58],"differential":[59],"equationsA-stabilitySimpson":[60],"ruleC.R.":[61],"Categories:":[62],"G.17":[63],"\u2217Corresponding":[64,66,69],"author":[65,67,70],"Notes":[68]},"counts_by_year":[],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}