乐胖代购免代理版

{"id":"https://openalex.org/W3038984995","doi":"https://doi.org/10.1002/cmm4.1116","title":"An efficient four\u2010step multiderivative method for the numerical solution of second\u2010order IVPs with oscillating solutions","display_name":"An efficient four\u2010step multiderivative method for the numerical solution of second\u2010order IVPs with oscillating solutions","publication_year":2020,"publication_date":"2020-06-29","ids":{"openalex":"https://openalex.org/W3038984995","doi":"https://doi.org/10.1002/cmm4.1116","mag":"3038984995"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1002/cmm4.1116","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cmm4.1116","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cmm4.1116","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084475742","display_name":"Ali Shokri","orcid":"https://orcid.org/0000-0003-2699-1490"},"institutions":[{"id":"https://openalex.org/I143318147","display_name":"University of Maragheh","ror":"https://ror.org/0037djy87","country_code":"IR","type":"education","lineage":["https://openalex.org/I143318147"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Ali Shokri","raw_affiliation_strings":["Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran","institution_ids":["https://openalex.org/I143318147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030820725","display_name":"Mohammad Mehdizadeh Khalsaraei","orcid":"https://orcid.org/0000-0002-0130-0449"},"institutions":[{"id":"https://openalex.org/I143318147","display_name":"University of Maragheh","ror":"https://ror.org/0037djy87","country_code":"IR","type":"education","lineage":["https://openalex.org/I143318147"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Mehdizadeh Khalsaraei","raw_affiliation_strings":["Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran","institution_ids":["https://openalex.org/I143318147"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084475742"],"corresponding_institution_ids":["https://openalex.org/I143318147"],"apc_list":{"value":750,"currency":"USD","value_usd":750,"provenance":"doaj"},"apc_paid":{"value":750,"currency":"USD","value_usd":750,"provenance":"doaj"},"fwci":0.473,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":69,"max":74},"biblio":{"volume":"2","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":1.0,"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":1.0,"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":0.9986,"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/simplicity","display_name":"Simplicity","score":0.778576},{"id":"https://openalex.org/keywords/duffing-equation","display_name":"Duffing equation","score":0.6466877},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.47763887}],"concepts":[{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.778576},{"id":"https://openalex.org/C132323500","wikidata":"https://www.wikidata.org/wiki/Q675387","display_name":"Duffing equation","level":3,"score":0.6466877},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6268791},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.62170756},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6146506},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5719165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5673512},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5258211},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5026188},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.4872774},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.47763887},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45232022},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44546005},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3929584},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.37623966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.353845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34206507},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17481783},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.072806954},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1002/cmm4.1116","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cmm4.1116","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1002/cmm4.1116","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cmm4.1116","source":{"id":"https://openalex.org/S4210240678","display_name":"Computational and Mathematical Methods","issn_l":"2577-7408","issn":["2577-7408"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":34,"referenced_works":["https://openalex.org/W1835847834","https://openalex.org/W1943734799","https://openalex.org/W1965896620","https://openalex.org/W1971576119","https://openalex.org/W1974073373","https://openalex.org/W1977311565","https://openalex.org/W1979897682","https://openalex.org/W1985170557","https://openalex.org/W1997933267","https://openalex.org/W1999842642","https://openalex.org/W2000668003","https://openalex.org/W2013349292","https://openalex.org/W2015372229","https://openalex.org/W2016484111","https://openalex.org/W2035377053","https://openalex.org/W2038269709","https://openalex.org/W2044912690","https://openalex.org/W2045708503","https://openalex.org/W2047462350","https://openalex.org/W2050874256","https://openalex.org/W2053593375","https://openalex.org/W2053866204","https://openalex.org/W2065286046","https://openalex.org/W2076028194","https://openalex.org/W2083231540","https://openalex.org/W2107379278","https://openalex.org/W2140447202","https://openalex.org/W2591735368","https://openalex.org/W2800508398","https://openalex.org/W2919695609","https://openalex.org/W2919752144","https://openalex.org/W3015493506","https://openalex.org/W3048260760","https://openalex.org/W3161027196"],"related_works":["https://openalex.org/W4242689831","https://openalex.org/W3030211243","https://openalex.org/W2913782054","https://openalex.org/W2462844306","https://openalex.org/W2103408001","https://openalex.org/W2087505595","https://openalex.org/W2071837188","https://openalex.org/W2055809791","https://openalex.org/W2037651866","https://openalex.org/W1582158723"],"abstract_inverted_index":{"An":[0],"explicit":[1],"four-step":[2],"method":[3,30,52,74,96],"of":[4,19,23,49],"10th":[5],"algebraic":[6],"order":[7],"is":[8,31,53,61],"constructed":[9],"and":[10,82,87,105],"analyzed":[11],"in":[12,56],"this":[13],"article":[14],"for":[15,41],"the":[16,36,50,76,95],"numerical":[17],"integration":[18],"initial":[20],"value":[21],"problems":[22,42,78],"second-order":[24],"ordinary":[25],"differential":[26],"equations.":[27],"The":[28,47],"new":[29,51,73],"multiderivative.":[32],"It":[33],"also":[34],"has":[35,97],"most":[37],"important":[38],"P-stability":[39],"property":[40],"that":[43,94],"have":[44],"one":[45],"frequency.":[46],"advantage":[48],"its":[54],"simplicity":[55],"implementation":[57],"and,":[58],"since":[59],"it":[60,63],"explicit,":[62],"will":[64],"not":[65],"require":[66],"any":[67],"additional":[68],"predictor":[69],"stages.":[70],"Applying":[71],"our":[72],"to":[75],"well-known":[77],"such":[79,100],"as":[80,101],"Stiefel":[81],"Bettis":[83],"\u201cnear":[84],"periodic\u201d":[85],"problem,":[86],"Duffing's":[88],"equation":[89],"without":[90],"damping,":[91],"we":[92],"found":[93],"several":[98],"advantages,":[99],"simplicity,":[102],"accuracy,":[103],"stability,":[104],"efficiency.":[106]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3038984995","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2024-12-14T16:05:49.029132","created_date":"2020-07-10"}