{"id":"https://openalex.org/W3172398395","doi":"https://doi.org/10.1007/s12190-021-01575-0","title":"Exponentially-fitted and trigonometrically-fitted implicit RKN methods for solving $$y''=f(t,y)$$","display_name":"Exponentially-fitted and trigonometrically-fitted implicit RKN methods for solving $$y''=f(t,y)$$","publication_year":2021,"publication_date":"2021-06-14","ids":{"openalex":"https://openalex.org/W3172398395","doi":"https://doi.org/10.1007/s12190-021-01575-0","mag":"3172398395"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-021-01575-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-021-01575-0","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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/A5110846485","display_name":"Wenjuan Zhai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wenjuan Zhai","raw_affiliation_strings":["General Education Department, Cangzhou Jiaotong College, No.2009, West Xueyuan Road, Huanghua, 061100, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"General Education Department, Cangzhou Jiaotong College, No.2009, West Xueyuan Road, Huanghua, 061100, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044295554","display_name":"Shuhuan Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I206777745","display_name":"Nanjing Audit University","ror":"https://ror.org/04zj2bd87","country_code":"CN","type":"education","lineage":["https://openalex.org/I206777745"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuhuan Fu","raw_affiliation_strings":["School of Finance, Nanjing Audit University, No.86, West Yushan Road, Nanjing, 211815, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Finance, Nanjing Audit University, No.86, West Yushan Road, Nanjing, 211815, China","institution_ids":["https://openalex.org/I206777745"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050618730","display_name":"Tianchong Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tianchong Zhou","raw_affiliation_strings":["General Education Department, Cangzhou Jiaotong College, No.2009, West Xueyuan Road, Huanghua, 061100, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"General Education Department, Cangzhou Jiaotong College, No.2009, West Xueyuan Road, Huanghua, 061100, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026411589","display_name":"Xiu Chun","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Chun Xiu","raw_affiliation_strings":["General Education Department, Cangzhou Jiaotong College, No.2009, West Xueyuan Road, Huanghua, 061100, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"General Education Department, Cangzhou Jiaotong College, No.2009, West Xueyuan Road, Huanghua, 061100, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026411589"],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.0674,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84729934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"68","issue":"2","first_page":"1449","last_page":"1466"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9968000054359436,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.994700014591217,"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/mathematics","display_name":"Mathematics","score":0.7804908156394958},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7713921070098877},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6442447900772095},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5128238797187805},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4772852957248688},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4709259867668152},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.44970935583114624},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4387941360473633},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41994667053222656},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.37505823373794556},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32723313570022583},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13683432340621948},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1351768970489502}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7804908156394958},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7713921070098877},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6442447900772095},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5128238797187805},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4772852957248688},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4709259867668152},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.44970935583114624},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4387941360473633},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41994667053222656},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.37505823373794556},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32723313570022583},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13683432340621948},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1351768970489502}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-021-01575-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-021-01575-0","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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":28,"referenced_works":["https://openalex.org/W109678862","https://openalex.org/W212594717","https://openalex.org/W1535024487","https://openalex.org/W1555459452","https://openalex.org/W1974073373","https://openalex.org/W1974281798","https://openalex.org/W1976440562","https://openalex.org/W1983256552","https://openalex.org/W1988392081","https://openalex.org/W2006990279","https://openalex.org/W2028558125","https://openalex.org/W2032241722","https://openalex.org/W2032971347","https://openalex.org/W2034182438","https://openalex.org/W2039807141","https://openalex.org/W2042388195","https://openalex.org/W2057236146","https://openalex.org/W2063558383","https://openalex.org/W2089206136","https://openalex.org/W2127632692","https://openalex.org/W2137106942","https://openalex.org/W2155809947","https://openalex.org/W2755017904","https://openalex.org/W2772112371","https://openalex.org/W2781681256","https://openalex.org/W2898436372","https://openalex.org/W2900530259","https://openalex.org/W2904991537"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W4288093367","https://openalex.org/W3093456297","https://openalex.org/W3006247779"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}