{"id":"https://openalex.org/W1989897441","doi":"https://doi.org/10.1016/s0096-3003(02)00436-8","title":"A new optimized non-FSAL embedded Runge\u2013Kutta\u2013Nystrom algorithm of orders 6 and 4 in six stages","display_name":"A new optimized non-FSAL embedded Runge\u2013Kutta\u2013Nystrom algorithm of orders 6 and 4 in six stages","publication_year":2003,"publication_date":"2003-06-02","ids":{"openalex":"https://openalex.org/W1989897441","doi":"https://doi.org/10.1016/s0096-3003(02)00436-8","mag":"1989897441"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(02)00436-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00436-8","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5002004552","display_name":"Moawwad El-Mikkawy","orcid":null},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Moawwad El-Mikkawy","raw_affiliation_strings":["Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","Mathematics Department, Faculty of Science Mansoura University, Mansoura 35516, Egypt"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]},{"raw_affiliation_string":"Mathematics Department, Faculty of Science Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067584337","display_name":"El-Desouky Rahmo","orcid":null},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"El-Desouky Rahmo","raw_affiliation_strings":["Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","Mathematics Department, Faculty of Science Mansoura University, Mansoura 35516, Egypt"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]},{"raw_affiliation_string":"Mathematics Department, Faculty of Science Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002004552"],"corresponding_institution_ids":["https://openalex.org/I159247623"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.4326,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.62058824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"145","issue":"1","first_page":"33","last_page":"43"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9947999715805054,"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":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.6085520386695862},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5840559601783752},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5516680479049683},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5151259303092957},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4630923569202423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34662121534347534},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.2990952134132385},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19265073537826538}],"concepts":[{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.6085520386695862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5840559601783752},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5516680479049683},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5151259303092957},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4630923569202423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34662121534347534},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2990952134132385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19265073537826538},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(02)00436-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00436-8","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.699999988079071,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1517539033","https://openalex.org/W1965060499","https://openalex.org/W1968553527","https://openalex.org/W1976010727","https://openalex.org/W1985494751","https://openalex.org/W1996610985","https://openalex.org/W2004741383","https://openalex.org/W2032538962","https://openalex.org/W2037372954","https://openalex.org/W2067221458","https://openalex.org/W2069148084","https://openalex.org/W2078616132","https://openalex.org/W2093918387","https://openalex.org/W2117333294","https://openalex.org/W2126340238","https://openalex.org/W2167514055","https://openalex.org/W3160618478"],"related_works":["https://openalex.org/W4206768127","https://openalex.org/W1979597421","https://openalex.org/W4213270568","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2037206165","https://openalex.org/W4230747053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
