{"id":"https://openalex.org/W3195412998","doi":"https://doi.org/10.1007/s40314-021-01605-4","title":"Adaptive step-size approach for Simpson\u2019s-type block methods with time efficiency and order stars","display_name":"Adaptive step-size approach for Simpson\u2019s-type block methods with time efficiency and order stars","publication_year":2021,"publication_date":"2021-08-18","ids":{"openalex":"https://openalex.org/W3195412998","doi":"https://doi.org/10.1007/s40314-021-01605-4","mag":"3195412998"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01605-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01605-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10366/156633","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005180650","display_name":"Higinio Ramos","orcid":"https://orcid.org/0000-0003-2791-6230"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Higinio Ramos","raw_affiliation_strings":["Department of Applied Mathematics, Universidad de Salamanca, Salamanca, Spain","Scientific Computing Group, Universidad de Salamanca, Salamanca, Spain"],"raw_orcid":"https://orcid.org/0000-0003-2791-6230","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Universidad de Salamanca, Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]},{"raw_affiliation_string":"Scientific Computing Group, Universidad de Salamanca, Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039278723","display_name":"Sania Qureshi","orcid":"https://orcid.org/0000-0002-7225-2309"},"institutions":[{"id":"https://openalex.org/I180291457","display_name":"Mehran University of Engineering and Technology","ror":"https://ror.org/0575ttm03","country_code":"PK","type":"education","lineage":["https://openalex.org/I180291457"]},{"id":"https://openalex.org/I69050122","display_name":"Near East University","ror":"https://ror.org/02x8svs93","country_code":"CY","type":"education","lineage":["https://openalex.org/I69050122"]}],"countries":["CY","PK"],"is_corresponding":true,"raw_author_name":"Sania Qureshi","raw_affiliation_strings":["Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, 76062, Pakistan","Department of Mathematics, Near East University TRNC, Mersin 10, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-7225-2309","affiliations":[{"raw_affiliation_string":"Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, 76062, Pakistan","institution_ids":["https://openalex.org/I180291457"]},{"raw_affiliation_string":"Department of Mathematics, Near East University TRNC, Mersin 10, Turkey","institution_ids":["https://openalex.org/I69050122"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025052230","display_name":"Amanullah Soomro","orcid":"https://orcid.org/0000-0002-5823-0170"},"institutions":[{"id":"https://openalex.org/I180291457","display_name":"Mehran University of Engineering and Technology","ror":"https://ror.org/0575ttm03","country_code":"PK","type":"education","lineage":["https://openalex.org/I180291457"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Amanullah Soomro","raw_affiliation_strings":["Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, 76062, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-5823-0170","affiliations":[{"raw_affiliation_string":"Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, 76062, Pakistan","institution_ids":["https://openalex.org/I180291457"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039278723"],"corresponding_institution_ids":["https://openalex.org/I180291457","https://openalex.org/I69050122"],"apc_list":null,"apc_paid":null,"fwci":6.5544,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.9772118,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"40","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9990000128746033,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9990000128746033,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.995199978351593,"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/block","display_name":"Block (permutation group theory)","score":0.6622158288955688},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6218355894088745},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5499132871627808},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.545185923576355},{"id":"https://openalex.org/keywords/block-size","display_name":"Block size","score":0.5184828639030457},{"id":"https://openalex.org/keywords/linear-multistep-method","display_name":"Linear multistep method","score":0.4859951436519623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4763522148132324},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.468874454498291},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.462190717458725},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.441545307636261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41613495349884033},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.413754940032959},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3798525333404541},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.34047022461891174},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3128790855407715},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12291213870048523},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.12199574708938599},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.09411650896072388},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08482661843299866},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08065459132194519}],"concepts":[{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6622158288955688},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6218355894088745},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5499132871627808},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.545185923576355},{"id":"https://openalex.org/C41431624","wikidata":"https://www.wikidata.org/wiki/Q1053357","display_name":"Block size","level":3,"score":0.5184828639030457},{"id":"https://openalex.org/C65889100","wikidata":"https://www.wikidata.org/wiki/Q1462003","display_name":"Linear multistep method","level":5,"score":0.4859951436519623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4763522148132324},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.468874454498291},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.462190717458725},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.441545307636261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41613495349884033},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.413754940032959},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3798525333404541},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.34047022461891174},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3128790855407715},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12291213870048523},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.12199574708938599},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.09411650896072388},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08482661843299866},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08065459132194519},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40314-021-01605-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01605-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:gredos.usal.es:10366/156633","is_oa":true,"landing_page_url":"http://hdl.handle.net/10366/156633","pdf_url":null,"source":{"id":"https://openalex.org/S4377196290","display_name":"Gredos (University of Salamanca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184999862","host_organization_name":"Universidad de Salamanca","host_organization_lineage":["https://openalex.org/I184999862"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:gredos.usal.es:10366/156633","is_oa":true,"landing_page_url":"http://hdl.handle.net/10366/156633","pdf_url":null,"source":{"id":"https://openalex.org/S4377196290","display_name":"Gredos (University of Salamanca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184999862","host_organization_name":"Universidad de Salamanca","host_organization_lineage":["https://openalex.org/I184999862"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W6938217","https://openalex.org/W311748708","https://openalex.org/W1543750907","https://openalex.org/W1596150805","https://openalex.org/W1597944220","https://openalex.org/W1627124179","https://openalex.org/W1966001878","https://openalex.org/W1990944243","https://openalex.org/W1993373894","https://openalex.org/W1995504856","https://openalex.org/W1999279996","https://openalex.org/W2010667400","https://openalex.org/W2062391294","https://openalex.org/W2075821814","https://openalex.org/W2076047216","https://openalex.org/W2264036676","https://openalex.org/W2267026097","https://openalex.org/W2286271864","https://openalex.org/W2292017285","https://openalex.org/W2377941220","https://openalex.org/W2460734632","https://openalex.org/W2507531279","https://openalex.org/W2794904279","https://openalex.org/W2796799031","https://openalex.org/W2909859249","https://openalex.org/W2916722737","https://openalex.org/W2954090117","https://openalex.org/W2994635730","https://openalex.org/W3033245069","https://openalex.org/W3035004616","https://openalex.org/W3036555971","https://openalex.org/W3038503647","https://openalex.org/W3092063587","https://openalex.org/W3093625397","https://openalex.org/W3119787958","https://openalex.org/W3121022355","https://openalex.org/W3132190076","https://openalex.org/W3141742486","https://openalex.org/W3145739395","https://openalex.org/W3147623791","https://openalex.org/W3190338436","https://openalex.org/W3195460101","https://openalex.org/W3198743819","https://openalex.org/W4232702608","https://openalex.org/W4293515545","https://openalex.org/W4300831640"],"related_works":["https://openalex.org/W1972746864","https://openalex.org/W3199099378","https://openalex.org/W2242812604","https://openalex.org/W2186203512","https://openalex.org/W135648373","https://openalex.org/W132846566","https://openalex.org/W39024429","https://openalex.org/W4383374787","https://openalex.org/W2791404322","https://openalex.org/W3089647350"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-08-30T00:00:00"}