{"id":"https://openalex.org/W1970616601","doi":"https://doi.org/10.1016/s0096-3003(97)10181-3","title":"Improved numerical integration of perturbed oscillators via average","display_name":"Improved numerical integration of perturbed oscillators via average","publication_year":1999,"publication_date":"1999-03-01","ids":{"openalex":"https://openalex.org/W1970616601","doi":"https://doi.org/10.1016/s0096-3003(97)10181-3","mag":"1970616601"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(97)10181-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(97)10181-3","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/A5085717525","display_name":"Pablo de Castro","orcid":"https://orcid.org/0000-0003-1217-3083"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Pablo Martin","raw_affiliation_strings":["Departamento de Matem\u00e9tica Aplicada a la Ingenieria, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce s/n, 47011 Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e9tica Aplicada a la Ingenieria, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce s/n, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113911208","display_name":"J.M. Farto","orcid":null},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9-Miguel Farto","raw_affiliation_strings":["Departamento de Matem\u00e9tica Aplicada a la Ingenieria, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce s/n, 47011 Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e9tica Aplicada a la Ingenieria, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce s/n, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085717525"],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.0148,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84462151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"99","issue":"2-3","first_page":"129","last_page":"139"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.996399998664856,"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":0.9873999953269958,"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/numerical-integration","display_name":"Numerical integration","score":0.8846852779388428},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.662205159664154},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6344351768493652},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.6042666435241699},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5254123210906982},{"id":"https://openalex.org/keywords/symplectic-integrator","display_name":"Symplectic integrator","score":0.5222602486610413},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5138561725616455},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.42776739597320557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41765695810317993},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.41220685839653015},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32884636521339417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23798209428787231},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08625233173370361}],"concepts":[{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.8846852779388428},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.662205159664154},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6344351768493652},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.6042666435241699},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5254123210906982},{"id":"https://openalex.org/C207646825","wikidata":"https://www.wikidata.org/wiki/Q7661847","display_name":"Symplectic integrator","level":4,"score":0.5222602486610413},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5138561725616455},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.42776739597320557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41765695810317993},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.41220685839653015},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32884636521339417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23798209428787231},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08625233173370361},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C40265840","wikidata":"https://www.wikidata.org/wiki/Q6897118","display_name":"Moment map","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(97)10181-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(97)10181-3","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1530136772","https://openalex.org/W1615713885","https://openalex.org/W1649734142","https://openalex.org/W1970977093","https://openalex.org/W1986697271","https://openalex.org/W2010644838","https://openalex.org/W2016426654","https://openalex.org/W2042388195","https://openalex.org/W2056797908","https://openalex.org/W2084367325","https://openalex.org/W2144144709","https://openalex.org/W2594348690","https://openalex.org/W2798779113","https://openalex.org/W2981569720","https://openalex.org/W4392306314"],"related_works":["https://openalex.org/W2005694504","https://openalex.org/W1994054117","https://openalex.org/W2953100675","https://openalex.org/W3011672241","https://openalex.org/W4293865513","https://openalex.org/W2035154805","https://openalex.org/W1678929968","https://openalex.org/W1530043903","https://openalex.org/W2074256136","https://openalex.org/W1979957029"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}