{"id":"https://openalex.org/W2011902397","doi":"https://doi.org/10.1007/s11075-014-9938-5","title":"Implicit third derivative Runge-Kutta-Nystr\u00f6m method with trigonometric coefficients","display_name":"Implicit third derivative Runge-Kutta-Nystr\u00f6m method with trigonometric coefficients","publication_year":2014,"publication_date":"2014-11-14","ids":{"openalex":"https://openalex.org/W2011902397","doi":"https://doi.org/10.1007/s11075-014-9938-5","mag":"2011902397"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-014-9938-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9938-5","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5076657707","display_name":"S. N. Jator","orcid":"https://orcid.org/0000-0001-8167-731X"},"institutions":[{"id":"https://openalex.org/I184692499","display_name":"Austin Peay State University","ror":"https://ror.org/05tx3bv88","country_code":"US","type":"education","lineage":["https://openalex.org/I184692499"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S. N. Jator","raw_affiliation_strings":["Department of Mathematics and Statistics, Austin Peay State University, Clarksville, TN, 37044, USA","Department of Mathematics and Statistics, Austin Peay State University, Clarksville, USA 37044#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Austin Peay State University, Clarksville, TN, 37044, USA","institution_ids":["https://openalex.org/I184692499"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Austin Peay State University, Clarksville, USA 37044#TAB#","institution_ids":["https://openalex.org/I184692499"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076657707"],"corresponding_institution_ids":["https://openalex.org/I184692499"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.9687,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84317032,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"70","issue":"1","first_page":"133","last_page":"150"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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":0.9979000091552734,"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/mathematics","display_name":"Mathematics","score":0.8244815468788147},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.770100474357605},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5972007513046265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5790977478027344},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5634042024612427},{"id":"https://openalex.org/keywords/second-derivative","display_name":"Second derivative","score":0.5270990133285522},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5036811232566833},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48726049065589905},{"id":"https://openalex.org/keywords/linear-multistep-method","display_name":"Linear multistep method","score":0.48321378231048584},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.476335346698761},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43228384852409363},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4160860776901245},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2730028033256531},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.2211378812789917},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06436783075332642}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8244815468788147},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.770100474357605},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5972007513046265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5790977478027344},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5634042024612427},{"id":"https://openalex.org/C33257320","wikidata":"https://www.wikidata.org/wiki/Q1932744","display_name":"Second derivative","level":2,"score":0.5270990133285522},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5036811232566833},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48726049065589905},{"id":"https://openalex.org/C65889100","wikidata":"https://www.wikidata.org/wiki/Q1462003","display_name":"Linear multistep method","level":5,"score":0.48321378231048584},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.476335346698761},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43228384852409363},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4160860776901245},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2730028033256531},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.2211378812789917},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06436783075332642},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-014-9938-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9938-5","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W960785943","https://openalex.org/W1913232214","https://openalex.org/W1963830644","https://openalex.org/W1986108045","https://openalex.org/W1990715647","https://openalex.org/W1995504856","https://openalex.org/W1996317117","https://openalex.org/W1997858086","https://openalex.org/W1997933267","https://openalex.org/W2001194243","https://openalex.org/W2007311262","https://openalex.org/W2007665571","https://openalex.org/W2009134470","https://openalex.org/W2013612198","https://openalex.org/W2016074603","https://openalex.org/W2017174077","https://openalex.org/W2022658696","https://openalex.org/W2023257006","https://openalex.org/W2032971347","https://openalex.org/W2034182438","https://openalex.org/W2039807141","https://openalex.org/W2044923639","https://openalex.org/W2054317073","https://openalex.org/W2058558525","https://openalex.org/W2064243214","https://openalex.org/W2072364706","https://openalex.org/W2081103269","https://openalex.org/W2093854893","https://openalex.org/W2102533918","https://openalex.org/W2107379278","https://openalex.org/W2127985907","https://openalex.org/W2129081409","https://openalex.org/W2165056107","https://openalex.org/W4247498417","https://openalex.org/W4249563570"],"related_works":["https://openalex.org/W2093871145","https://openalex.org/W30679453","https://openalex.org/W56640444","https://openalex.org/W832825236","https://openalex.org/W2001563191","https://openalex.org/W2065445194","https://openalex.org/W2136451125","https://openalex.org/W2360969022","https://openalex.org/W2378531610","https://openalex.org/W3014042903"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
