乐胖代购免代理版

{"id":"https://openalex.org/W2027382177","doi":"https://doi.org/10.1137/s0036142900368095","title":"Iterated Defect Correction for the Solution of Singular Initial Value Problems","display_name":"Iterated Defect Correction for the Solution of Singular Initial Value Problems","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2027382177","doi":"https://doi.org/10.1137/s0036142900368095","mag":"2027382177"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900368095","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5056549733","display_name":"Othmar Koch","orcid":"https://orcid.org/0000-0002-1956-221X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Othmar Koch","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5070164432","display_name":"Ewa Weinm\u00fcller","orcid":"https://orcid.org/0000-0003-1993-3612"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ewa B. Weinm\u00fcller","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.15,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":40,"citation_normalized_percentile":{"value":0.931966,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":"38","issue":"6","first_page":"1784","last_page":"1799"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9992,"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/T11416","display_name":"Numerical methods for differential equations","score":0.999,"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/iterated-function","display_name":"Iterated function","score":0.86197376},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.7201346},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.66029066},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.510685},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4592637},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.44506288}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.86197376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.84746575},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.74243885},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7337851},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7201346},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.66029066},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.6044249},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.58742523},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5536573},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.510685},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5063859},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.4911811},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4592637},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.44506288},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43314347},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.23202458},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900368095","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.54}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":36,"referenced_works":["https://openalex.org/W1491743226","https://openalex.org/W1510003436","https://openalex.org/W1568666422","https://openalex.org/W1615719393","https://openalex.org/W1964840020","https://openalex.org/W1966278241","https://openalex.org/W1969281124","https://openalex.org/W1971947347","https://openalex.org/W1973937820","https://openalex.org/W1980928032","https://openalex.org/W1983952517","https://openalex.org/W1986949028","https://openalex.org/W1989057772","https://openalex.org/W2006072753","https://openalex.org/W2007276438","https://openalex.org/W2013455951","https://openalex.org/W2014289408","https://openalex.org/W2024298593","https://openalex.org/W2028653043","https://openalex.org/W2031321134","https://openalex.org/W2041430425","https://openalex.org/W2048257802","https://openalex.org/W2051998357","https://openalex.org/W2067265108","https://openalex.org/W2070157883","https://openalex.org/W2081481799","https://openalex.org/W2085765135","https://openalex.org/W2088163475","https://openalex.org/W2090429173","https://openalex.org/W2090579867","https://openalex.org/W2100495513","https://openalex.org/W2158003243","https://openalex.org/W2314485382","https://openalex.org/W4241264067","https://openalex.org/W4241872882","https://openalex.org/W7112018"],"related_works":["https://openalex.org/W4390725884","https://openalex.org/W4296585688","https://openalex.org/W2391313426","https://openalex.org/W2389530697","https://openalex.org/W2315023318","https://openalex.org/W2159849569","https://openalex.org/W2132657058","https://openalex.org/W2080672562","https://openalex.org/W1990844505","https://openalex.org/W1605684283"],"abstract_inverted_index":{"We":[0,33],"investigate":[1],"the":[2,6,14,19,30,36,47,53,63,66,72],"convergence":[3,60],"properties":[4],"of":[5,21,29,42,49,59,65,71],"iterated":[7],"defect":[8],"correction":[9],"(IDeC)":[10],"method":[11,37],"based":[12],"on":[13],"implicit":[15],"Euler":[16],"rule":[17],"for":[18],"solution":[20],"singular":[22],"initial":[23],"value":[24],"problems":[25],"with":[26],"a":[27],"singularity":[28],"first":[31],"kind.":[32],"show":[34],"that":[35,46],"retains":[38],"its":[39],"classical":[40],"order":[41,58],"convergence,":[43],"which":[44],"means":[45],"sequence":[48],"approximations":[50],"obtained":[51],"during":[52],"iteration":[54],"shows":[55],"gradually":[56],"growing":[57],"limited":[61],"by":[62],"smoothness":[64],"data":[67],"and":[68],"technical":[69],"details":[70],"procedure.":[73]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2027382177","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2024-12-08T22:57:32.034711","created_date":"2016-06-24"}