{"id":"https://openalex.org/W2007445584","doi":"https://doi.org/10.1080/00207160008804935","title":"Stability of nonequidistant variable order multistep methods for stiff systems","display_name":"Stability of nonequidistant variable order multistep methods for stiff systems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2007445584","doi":"https://doi.org/10.1080/00207160008804935","mag":"2007445584"},"language":"en","primary_location":{"id":"doi:10.1080/00207160008804935","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008804935","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/A5022135523","display_name":"Gehan A. Ismail","orcid":"https://orcid.org/0000-0002-3996-0047"},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Gamal A.F. Ismail","raw_affiliation_strings":["Ain Shams University , University College for Women , Heliopolis, Egypt"],"affiliations":[{"raw_affiliation_string":"Ain Shams University , University College for Women , Heliopolis, Egypt","institution_ids":["https://openalex.org/I107720978"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022135523"],"corresponding_institution_ids":["https://openalex.org/I107720978"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14164201,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"74","issue":"2","first_page":"207","last_page":"223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9915000200271606,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9891999959945679,"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/linear-multistep-method","display_name":"Linear multistep method","score":0.7804674506187439},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.7273638248443604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7200421094894409},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7048754096031189},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.611158549785614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5869150161743164},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5135772228240967},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5007364749908447},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46164125204086304},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3281487822532654},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2945123314857483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19918614625930786},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.18202689290046692},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.09478729963302612}],"concepts":[{"id":"https://openalex.org/C65889100","wikidata":"https://www.wikidata.org/wiki/Q1462003","display_name":"Linear multistep method","level":5,"score":0.7804674506187439},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.7273638248443604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7200421094894409},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7048754096031189},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.611158549785614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5869150161743164},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5135772228240967},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5007364749908447},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46164125204086304},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3281487822532654},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2945123314857483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19918614625930786},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.18202689290046692},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.09478729963302612},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160008804935","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008804935","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":6,"referenced_works":["https://openalex.org/W2002482087","https://openalex.org/W2050919829","https://openalex.org/W2079914576","https://openalex.org/W2092013685","https://openalex.org/W2151807147","https://openalex.org/W2319973481"],"related_works":["https://openalex.org/W3202849457","https://openalex.org/W2189053480","https://openalex.org/W1995404603","https://openalex.org/W1989432835","https://openalex.org/W2952899002","https://openalex.org/W1973833593","https://openalex.org/W2384495009","https://openalex.org/W4384557449","https://openalex.org/W2011977699","https://openalex.org/W4248530215"],"abstract_inverted_index":{"The":[0,18],"order,":[1],"stability":[2,19],"and":[3,44],"convergence":[4],"of":[5,21,24,55],"the":[6],"nonequidistant":[7],"variable":[8,25],"order":[9,38],"multistep":[10,27],"methods":[11,28,61],"(NVOMMs)":[12],"for":[13,36],"stiff":[14],"systems":[15],"are":[16,46,62],"discussed.":[17],"properties":[20],"certain":[22],"class":[23],"step":[26],"(VSMMs)":[29],"depending":[30],"on":[31],"one":[32],"free":[33],"parameter":[34],"\u03b2*":[35,56],"some":[37,42],"will":[39],"be":[40],"discussed,":[41],"theorems":[43],"lemmas":[45],"proved.":[47],"New":[48],"effective":[49],"techniques":[50],"restricted":[51],"by":[52],"larger":[53],"interval":[54],"to":[57],"get":[58],"strongly":[59],"stable":[60],"determined":[63]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
