{"id":"https://openalex.org/W3163791047","doi":"https://doi.org/10.1007/s11075-021-01115-8","title":"Generating Laguerre expansion coefficients by solving a one-dimensional transport equation","display_name":"Generating Laguerre expansion coefficients by solving a one-dimensional transport equation","publication_year":2018,"publication_date":"2018-09-18","ids":{"openalex":"https://openalex.org/W3163791047","doi":"https://doi.org/10.1007/s11075-021-01115-8","mag":"3163791047"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1809.06794","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.06794","pdf_url":"https://arxiv.org/pdf/1809.06794","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"article","indexed_in":["arxiv"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1809.06794","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021398111","display_name":"Andrew V. Terekhov","orcid":"https://orcid.org/0000-0002-6585-9057"},"institutions":[{"id":"https://openalex.org/I4210110796","display_name":"Institute of Computational Mathematics and Mathematical Geophysics","ror":"https://ror.org/01z686714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210110796","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Terekhov, Andrew V.","raw_affiliation_strings":["Institute of Computational Mathematics and Mathematical Geophysics, 630090, Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Mathematical Geophysics, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210110796"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021398111"],"corresponding_institution_ids":["https://openalex.org/I4210110796"],"apc_list":null,"apc_paid":null,"fwci":0.2668,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57103161,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9864000082015991,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.9225455522537231},{"id":"https://openalex.org/keywords/laguerres-method","display_name":"Laguerre's method","score":0.8017361164093018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7431248426437378},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7269585728645325},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6516000032424927},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.554925799369812},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5422043204307556},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5399318933486938},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4661223888397217},{"id":"https://openalex.org/keywords/series-expansion","display_name":"Series expansion","score":0.46206602454185486},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4353610873222351},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.41394972801208496},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32656291127204895},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1995735466480255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13874483108520508},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.0844717025756836}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.9225455522537231},{"id":"https://openalex.org/C43475892","wikidata":"https://www.wikidata.org/wiki/Q1171964","display_name":"Laguerre's method","level":4,"score":0.8017361164093018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7431248426437378},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7269585728645325},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6516000032424927},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.554925799369812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5422043204307556},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5399318933486938},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4661223888397217},{"id":"https://openalex.org/C186080144","wikidata":"https://www.wikidata.org/wiki/Q358733","display_name":"Series expansion","level":2,"score":0.46206602454185486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4353610873222351},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.41394972801208496},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32656291127204895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1995735466480255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13874483108520508},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.0844717025756836},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:arXiv.org:1809.06794","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.06794","pdf_url":"https://arxiv.org/pdf/1809.06794","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1809.06794","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.06794","pdf_url":"https://arxiv.org/pdf/1809.06794","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W30415855","https://openalex.org/W1566912541","https://openalex.org/W1975074263","https://openalex.org/W1981745143","https://openalex.org/W1990096926","https://openalex.org/W2002735737","https://openalex.org/W2004158993","https://openalex.org/W2015818047","https://openalex.org/W2029544476","https://openalex.org/W2033022456","https://openalex.org/W2048635822","https://openalex.org/W2060306845","https://openalex.org/W2062730903","https://openalex.org/W2065574733","https://openalex.org/W2066931007","https://openalex.org/W2076936166","https://openalex.org/W2082108265","https://openalex.org/W2083161187","https://openalex.org/W2084600177","https://openalex.org/W2091227064","https://openalex.org/W2092790392","https://openalex.org/W2158359807","https://openalex.org/W2164646192","https://openalex.org/W2171931287","https://openalex.org/W2350352970","https://openalex.org/W2463002925","https://openalex.org/W2516630121","https://openalex.org/W2798909945","https://openalex.org/W2900444725","https://openalex.org/W2966433303","https://openalex.org/W3038165843","https://openalex.org/W3106241533","https://openalex.org/W4253937035","https://openalex.org/W4299616802"],"related_works":["https://openalex.org/W1515881615","https://openalex.org/W2038558186","https://openalex.org/W4384817913","https://openalex.org/W4286111066","https://openalex.org/W1493431396","https://openalex.org/W3050963079","https://openalex.org/W2007212821","https://openalex.org/W2471338065","https://openalex.org/W2126308770","https://openalex.org/W2015818047"],"abstract_inverted_index":{"Spectral":[0],"methods":[1],"based":[2],"on":[3],"integral":[4,31],"transforms":[5],"may":[6],"be":[7],"efficiently":[8],"used":[9],"to":[10,29,42,58],"solve":[11],"differential":[12],"equations":[13],"in":[14,24],"some":[15],"special":[16],"cases.":[17],"This":[18],"paper":[19],"considers":[20],"a":[21,36,64],"different":[22],"approach":[23],"which":[25],"algorithms":[26],"are":[27],"proposed":[28],"calculate":[30,59],"Laguerre":[32,65],"transform":[33],"by":[34],"solving":[35],"one-dimensional":[37],"transport":[38],"equation.":[39],"In":[40],"contrast":[41],"the":[43,60],"direct":[44],"calculation":[45],"of":[46,49,63],"improper":[47],"integrals":[48],"rapidly":[50],"oscillating":[51],"functions,":[52],"these":[53],"procedures":[54],"make":[55],"it":[56],"possible":[57],"expansion":[61,67],"coefficients":[62],"series":[66],"with":[68],"better":[69],"stability,":[70],"higher":[71],"accuracy,":[72],"and":[73],"less":[74],"computational":[75],"burden.":[76]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2021-05-24T00:00:00"}
