{"id":"https://openalex.org/W3194525584","doi":"https://doi.org/10.1007/s40314-021-01599-z","title":"Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems","display_name":"Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems","publication_year":2021,"publication_date":"2021-08-19","ids":{"openalex":"https://openalex.org/W3194525584","doi":"https://doi.org/10.1007/s40314-021-01599-z","mag":"3194525584"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01599-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01599-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","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/10366/156632","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067599340","display_name":"Rajat Singla","orcid":"https://orcid.org/0000-0002-8496-6755"},"institutions":[{"id":"https://openalex.org/I3132890203","display_name":"Akal University","ror":"https://ror.org/01r7w2j21","country_code":"IN","type":"education","lineage":["https://openalex.org/I3132890203"]},{"id":"https://openalex.org/I94616015","display_name":"Punjab Technical University","ror":"https://ror.org/025kz2973","country_code":"IN","type":"education","lineage":["https://openalex.org/I94616015"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Rajat Singla","raw_affiliation_strings":["Department of Mathematical Sciences, I. K. Gujral Punjab Technical University Jalandhar, Main Campus, Kapurthala, India","Department of Mathematical Sciences, I. K. Gujral Punjab Technical University Jalandhar, Main Campus, Kapurthala, Punjab, 144603, India","Department of Mathematics, Akal University Talwandi Sabo, Bathinda, India","Department of Mathematics, Akal University Talwandi Sabo, Bathinda, Punjab, 151302, India"],"raw_orcid":"https://orcid.org/0000-0002-8496-6755","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, I. K. Gujral Punjab Technical University Jalandhar, Main Campus, Kapurthala, India","institution_ids":["https://openalex.org/I94616015"]},{"raw_affiliation_string":"Department of Mathematical Sciences, I. K. Gujral Punjab Technical University Jalandhar, Main Campus, Kapurthala, Punjab, 144603, India","institution_ids":["https://openalex.org/I94616015"]},{"raw_affiliation_string":"Department of Mathematics, Akal University Talwandi Sabo, Bathinda, India","institution_ids":["https://openalex.org/I3132890203"]},{"raw_affiliation_string":"Department of Mathematics, Akal University Talwandi Sabo, Bathinda, Punjab, 151302, India","institution_ids":["https://openalex.org/I3132890203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055161545","display_name":"Gurjinder Singh","orcid":"https://orcid.org/0000-0001-9708-8608"},"institutions":[{"id":"https://openalex.org/I94616015","display_name":"Punjab Technical University","ror":"https://ror.org/025kz2973","country_code":"IN","type":"education","lineage":["https://openalex.org/I94616015"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Gurjinder Singh","raw_affiliation_strings":["Department of Mathematical Sciences, I. K. Gujral Punjab Technical University Jalandhar, Main Campus, Kapurthala, India","Department of Mathematical Sciences, I. K. Gujral Punjab Technical University Jalandhar, Main Campus, Kapurthala, Punjab, 144603, India"],"raw_orcid":"https://orcid.org/0000-0001-9708-8608","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, I. K. Gujral Punjab Technical University Jalandhar, Main Campus, Kapurthala, India","institution_ids":["https://openalex.org/I94616015"]},{"raw_affiliation_string":"Department of Mathematical Sciences, I. K. Gujral Punjab Technical University Jalandhar, Main Campus, Kapurthala, Punjab, 144603, India","institution_ids":["https://openalex.org/I94616015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048171028","display_name":"V. Kanwar","orcid":"https://orcid.org/0000-0002-7923-1324"},"institutions":[{"id":"https://openalex.org/I51452335","display_name":"Panjab University","ror":"https://ror.org/04p2sbk06","country_code":"IN","type":"education","lineage":["https://openalex.org/I51452335"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"V. Kanwar","raw_affiliation_strings":["University Institute of Engineering and Technology, Panjab University, Chandigarh, 160014, India","University Institute of Engineering and Technology, Panjab University, Chandigarh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Institute of Engineering and Technology, Panjab University, Chandigarh, 160014, India","institution_ids":["https://openalex.org/I51452335"]},{"raw_affiliation_string":"University Institute of Engineering and Technology, Panjab University, Chandigarh, India","institution_ids":["https://openalex.org/I51452335"]}]},{"author_position":"last","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"]},{"id":"https://openalex.org/I4210128281","display_name":"Hospital Virgen de la Concha","ror":"https://ror.org/02bhk3j29","country_code":"ES","type":"healthcare","lineage":["https://openalex.org/I4210128281"]},{"id":"https://openalex.org/I4210157690","display_name":"Universidad de Zamora","ror":"https://ror.org/04tjmjk63","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210157690"]}],"countries":["ES","MX"],"is_corresponding":true,"raw_author_name":"Higinio Ramos","raw_affiliation_strings":["Escuela Polit\u00e9cnica Superior de Zamora, Campus Viriato, 49029, Zamora, Spain","Escuela Polit\u00e9cnica Superior de Zamora, Campus Viriato, Zamora, Spain","Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, 37008, Salamanca, Spain","Scientific Computing Group, Universidad de Salamanca, Salamanca, Spain"],"raw_orcid":"https://orcid.org/0000-0003-2791-6230","affiliations":[{"raw_affiliation_string":"Escuela Polit\u00e9cnica Superior de Zamora, Campus Viriato, 49029, Zamora, Spain","institution_ids":["https://openalex.org/I4210128281"]},{"raw_affiliation_string":"Escuela Polit\u00e9cnica Superior de Zamora, Campus Viriato, Zamora, Spain","institution_ids":["https://openalex.org/I4210128281","https://openalex.org/I4210157690"]},{"raw_affiliation_string":"Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, 37008, 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"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5005180650","https://openalex.org/A5048171028","https://openalex.org/A5055161545","https://openalex.org/A5067599340"],"corresponding_institution_ids":["https://openalex.org/I184999862","https://openalex.org/I3132890203","https://openalex.org/I4210128281","https://openalex.org/I4210157690","https://openalex.org/I51452335","https://openalex.org/I94616015"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":2.0605,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85241344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9984999895095825,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9980000257492065,"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":0.740769624710083},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6498104333877563},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5527686476707458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5501726269721985},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5466485619544983},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.47112414240837097},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45637452602386475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44910547137260437},{"id":"https://openalex.org/keywords/two-step","display_name":"Two step","score":0.43348371982574463},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4261940121650696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4258701205253601},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4105707108974457},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08726245164871216},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08225750923156738}],"concepts":[{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.740769624710083},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6498104333877563},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5527686476707458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5501726269721985},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5466485619544983},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.47112414240837097},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45637452602386475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44910547137260437},{"id":"https://openalex.org/C3019136120","wikidata":"https://www.wikidata.org/wiki/Q2462428","display_name":"Two step","level":2,"score":0.43348371982574463},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4261940121650696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4258701205253601},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4105707108974457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08726245164871216},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08225750923156738},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40314-021-01599-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01599-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","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:10366/156632","is_oa":true,"landing_page_url":"http://hdl.handle.net/10366/156632","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/article"}],"best_oa_location":{"id":"pmh:oai:gredos.usal.es:10366/156632","is_oa":true,"landing_page_url":"http://hdl.handle.net/10366/156632","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/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W6938217","https://openalex.org/W576148093","https://openalex.org/W1495278797","https://openalex.org/W1543750907","https://openalex.org/W1596150805","https://openalex.org/W1992915685","https://openalex.org/W1997933267","https://openalex.org/W2010667400","https://openalex.org/W2024765018","https://openalex.org/W2032818221","https://openalex.org/W2047993099","https://openalex.org/W2050147584","https://openalex.org/W2071305979","https://openalex.org/W2144375544","https://openalex.org/W2233214786","https://openalex.org/W2267026097","https://openalex.org/W2471770269","https://openalex.org/W2483406971","https://openalex.org/W2507531279","https://openalex.org/W2523750326","https://openalex.org/W2553229014","https://openalex.org/W2565437986","https://openalex.org/W2603303124","https://openalex.org/W2610629502","https://openalex.org/W2796799031","https://openalex.org/W2896637225","https://openalex.org/W2916722737","https://openalex.org/W2918107832","https://openalex.org/W2945534377","https://openalex.org/W3209416867","https://openalex.org/W4255754126","https://openalex.org/W4300831640"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W2048742619","https://openalex.org/W2211347793","https://openalex.org/W2996305644","https://openalex.org/W2059261580"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}