{"id":"https://openalex.org/W2029181053","doi":"https://doi.org/10.1137/1032081","title":"How Not to Tackle Some Singular Perturbation Problems","display_name":"How Not to Tackle Some Singular Perturbation Problems","publication_year":1990,"publication_date":"1990-09-01","ids":{"openalex":"https://openalex.org/W2029181053","doi":"https://doi.org/10.1137/1032081","mag":"2029181053"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/1032081","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"Siam Review","issn_l":"0036-1445","issn":["1095-7200","0036-1445"],"is_oa":false,"is_in_doaj":false,"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,"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/A5080080243","display_name":"S. M. Richardson","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. Richardson","raw_affiliation_string":"","raw_affiliation_strings":[]}],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5080080243"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":1,"cited_by_percentile_year":{"min":60,"max":67},"biblio":{"volume":"32","issue":"3","first_page":"471","last_page":"473"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Multiscale Methods for Heterogeneous Systems","score":0.9995,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Multiscale Methods for Heterogeneous Systems","score":0.9995,"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":"Finite Element Methods for Fluid-Structure Interaction","score":0.9971,"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/T11558","display_name":"Multi-Scale Modeling of Heterogeneous Materials","score":0.9952,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"keyword":"singular perturbation problems","score":0.9456}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.87687737},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.7725874},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6555514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6321702},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.61468},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.59869856},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.5376573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42633748},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41771448},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11087802},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/1032081","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"Siam Review","issn_l":"0036-1445","issn":["1095-7200","0036-1445"],"is_oa":false,"is_in_doaj":false,"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,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"referenced_works_count":1,"referenced_works":["https://openalex.org/W2127132152"],"related_works":["https://openalex.org/W280422457","https://openalex.org/W2056271952","https://openalex.org/W4327639758","https://openalex.org/W3216291260","https://openalex.org/W2372707095","https://openalex.org/W1998082046","https://openalex.org/W2116787190","https://openalex.org/W2154304710","https://openalex.org/W1511461612","https://openalex.org/W2884564613"],"ngrams_url":"https://api.openalex.org/works/W2029181053/ngrams","abstract_inverted_index":{"A":[0],"tempting":[1],"procedure":[2],"for":[3],"dealing":[4],"with":[5],"some":[6],"singular":[7],"perturbation":[8],"problems":[9],"on":[10,22],"an":[11,19],"unbounded":[12],"domain":[13,42],"is":[14,46],"to":[15,52],"begin":[16],"by":[17],"solving":[18],"equivalent":[20],"problem":[21],"a":[23,36],"bounded":[24,41],"domain,":[25],"then":[26],"compute":[27],"the":[28,40],"quantities":[29],"of":[30],"physical":[31],"interest,":[32],"and":[33],"finally":[34],"take":[35],"limit":[37],"so":[38],"that":[39,48],"becomes":[43],"unbounded.":[44],"It":[45],"shown":[47],"this":[49],"can":[50],"lead":[51],"incorrect":[53],"results.":[54]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2029181053","counts_by_year":[],"updated_date":"2024-03-03T23:11:46.084407","created_date":"2016-06-24"}