{"id":"https://openalex.org/W3200346079","doi":"https://doi.org/10.1137/21m1445934","title":"Least-Squares Spectral Methods for ODE Eigenvalue Problems","display_name":"Least-Squares Spectral Methods for ODE Eigenvalue Problems","publication_year":2022,"publication_date":"2022-10-01","ids":{"openalex":"https://openalex.org/W3200346079","doi":"https://doi.org/10.1137/21m1445934","mag":"3200346079"},"language":"en","primary_location":{"id":"doi:10.1137/21m1445934","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1445934","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Least-Squares_Spectral_Methods_for_ODE_Eigenvalue_Problems/23636241","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029089965","display_name":"Behnam Hashemi","orcid":"https://orcid.org/0000-0002-8847-2058"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Behnam Hashemi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8847-2058","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008129578","display_name":"Yuji Nakatsukasa","orcid":"https://orcid.org/0000-0001-7911-1501"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuji Nakatsukasa","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7911-1501","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029089965"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7542,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72395739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"44","issue":"5","first_page":"A3244","last_page":"A3264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8532034754753113},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8334188461303711},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.8042213916778564},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5910274982452393},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5716911554336548},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5373424887657166},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.47736644744873047},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.47736024856567383},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.47320622205734253},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.4634440243244171},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.438381552696228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1175878643989563}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8532034754753113},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8334188461303711},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8042213916778564},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5910274982452393},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5716911554336548},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5373424887657166},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.47736644744873047},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.47736024856567383},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.47320622205734253},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4634440243244171},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.438381552696228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1175878643989563},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/21m1445934","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1445934","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:figshare.com:article/23636241","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Least-Squares_Spectral_Methods_for_ODE_Eigenvalue_Problems/23636241","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:557a3a40-c47e-4ecd-8afb-25e9653de1e2","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:557a3a40-c47e-4ecd-8afb-25e9653de1e2","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Journal article"},{"id":"pmh:oai:qspace.qu.edu.qa:10576/35191","is_oa":false,"landing_page_url":"http://hdl.handle.net/10576/35191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400014","display_name":"Qatar University QSpace (Qatar University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60342839","host_organization_name":"Qatar University","host_organization_lineage":["https://openalex.org/I60342839"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/23636241","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Least-Squares_Spectral_Methods_for_ODE_Eigenvalue_Problems/23636241","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2021235934","display_name":null,"funder_award_id":"1400650036","funder_id":"https://openalex.org/F4320323645","funder_display_name":"Institute for Research in Fundamental Sciences"},{"id":"https://openalex.org/G2320248215","display_name":null,"funder_award_id":"98012590","funder_id":"https://openalex.org/F4320322243","funder_display_name":"Iran National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322243","display_name":"Iran National Science Foundation","ror":"https://ror.org/03sr1ma14"},{"id":"https://openalex.org/F4320323645","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W122269295","https://openalex.org/W149522324","https://openalex.org/W175988912","https://openalex.org/W253307310","https://openalex.org/W784036489","https://openalex.org/W1490180844","https://openalex.org/W1501644353","https://openalex.org/W1520787580","https://openalex.org/W1555557982","https://openalex.org/W1587415653","https://openalex.org/W1605290597","https://openalex.org/W1635622277","https://openalex.org/W1805381866","https://openalex.org/W1912930600","https://openalex.org/W1963610153","https://openalex.org/W1965683017","https://openalex.org/W1977564230","https://openalex.org/W1980921095","https://openalex.org/W1982421284","https://openalex.org/W1994902252","https://openalex.org/W1998006824","https://openalex.org/W2008229822","https://openalex.org/W2008897700","https://openalex.org/W2013521517","https://openalex.org/W2015320521","https://openalex.org/W2022225030","https://openalex.org/W2031567600","https://openalex.org/W2036595722","https://openalex.org/W2057764268","https://openalex.org/W2058028346","https://openalex.org/W2061953601","https://openalex.org/W2072129206","https://openalex.org/W2086160340","https://openalex.org/W2088347971","https://openalex.org/W2111184589","https://openalex.org/W2130694104","https://openalex.org/W2133064603","https://openalex.org/W2134526557","https://openalex.org/W2158575547","https://openalex.org/W2161652734","https://openalex.org/W2166245316","https://openalex.org/W2167965189","https://openalex.org/W2171692351","https://openalex.org/W2321428294","https://openalex.org/W2331234901","https://openalex.org/W2485552849","https://openalex.org/W2499965893","https://openalex.org/W2500266379","https://openalex.org/W2610260406","https://openalex.org/W2798909945","https://openalex.org/W2942637169","https://openalex.org/W2946418615","https://openalex.org/W3006820345","https://openalex.org/W3080914972","https://openalex.org/W3105567705","https://openalex.org/W3129761842","https://openalex.org/W3153871697","https://openalex.org/W4205706739","https://openalex.org/W4206029394","https://openalex.org/W4247375400","https://openalex.org/W4249432469","https://openalex.org/W4289684174","https://openalex.org/W4320800818"],"related_works":["https://openalex.org/W46293795","https://openalex.org/W2350895707","https://openalex.org/W2963566796","https://openalex.org/W2383221329","https://openalex.org/W2364889976","https://openalex.org/W4285722889","https://openalex.org/W2040482695","https://openalex.org/W2776155623","https://openalex.org/W2051533026","https://openalex.org/W2369274133"],"abstract_inverted_index":{"We":[0,83],"develop":[1],"spectral":[2],"methods":[3],"for":[4,26],"ODEs":[5],"and":[6,36,40,78,100],"operator":[7],"eigenvalue":[8,29],"problems":[9,95],"that":[10,50],"are":[11],"based":[12],"on":[13],"a":[14,24,64],"least-squares":[15],"formulation":[16,55],"of":[17,44],"the":[18,45,53,57,110],"problem.":[19],"The":[20,42],"key":[21],"tool":[22],"is":[23,47],"method":[25],"rectangular":[27],"generalized":[28],"problems,":[30],"which":[31,107],"we":[32],"extend":[33],"to":[34,60,75,93],"quasimatrices":[35,39],"objects":[37],"combining":[38],"matrices.":[41],"strength":[43],"approach":[46],"its":[48],"flexibility":[49],"lies":[51],"in":[52],"quasimatrix":[54],"allowing":[56],"basis":[58],"functions":[59],"be":[61,91],"chosen":[62],"arbitrarily,":[63],"good":[65],"choice":[66],"(e.g.,":[67],"those":[68],"obtained":[69],"by":[70],"solving":[71],"nearby":[72],"problems)":[73],"leading":[74],"rapid":[76],"convergence,":[77],"often":[79,108],"giving":[80],"high":[81],"accuracy.":[82,111],"also":[84],"show":[85],"how":[86],"our":[87],"algorithm":[88],"can":[89],"easily":[90],"modified":[92],"solve":[94],"with":[96],"eigenvalue-dependent":[97],"boundary":[98],"conditions,":[99],"discuss":[101],"reformulations":[102],"as":[103],"an":[104],"integral":[105],"equation,":[106],"improves":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
