{"id":"https://openalex.org/W1974018534","doi":"https://doi.org/10.1007/s00211-012-0501-9","title":"Asymptotic expansions and fast computation of oscillatory Hilbert transforms","display_name":"Asymptotic expansions and fast computation of oscillatory Hilbert transforms","publication_year":2012,"publication_date":"2012-10-16","ids":{"openalex":"https://openalex.org/W1974018534","doi":"https://doi.org/10.1007/s00211-012-0501-9","mag":"1974018534"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-012-0501-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-012-0501-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.cs.kuleuven.be/publicaties/rapporten/tw/TW605.abs.html","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070318438","display_name":"Haiyong Wang","orcid":"https://orcid.org/0000-0002-0360-4489"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Haiyong Wang","raw_affiliation_strings":["Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3001 , Leuven, Belgium","Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium 3001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3001 , Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium 3001#TAB#","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100661417","display_name":"Lun Zhang","orcid":"https://orcid.org/0000-0003-2823-1153"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Lun Zhang","raw_affiliation_strings":["Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, 3001 , Leuven, Belgium","Department of Mathematics, Katholieke Universiteit Leuven, Leuven, Belgium 3001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, 3001 , Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department of Mathematics, Katholieke Universiteit Leuven, Leuven, Belgium 3001#TAB#","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022994939","display_name":"Daan Huybrechs","orcid":"https://orcid.org/0000-0002-0536-2647"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Daan Huybrechs","raw_affiliation_strings":["Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3001 , Leuven, Belgium","Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium 3001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3001 , Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium 3001#TAB#","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070318438"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.7286,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.92485346,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"123","issue":"4","first_page":"709","last_page":"743"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9957000017166138,"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":0.7725902795791626},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6717801690101624},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.6078125238418579},{"id":"https://openalex.org/keywords/hilbert-transform","display_name":"Hilbert transform","score":0.5485960245132446},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5210365653038025},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.5121028423309326},{"id":"https://openalex.org/keywords/analytic-continuation","display_name":"Analytic continuation","score":0.48820334672927856},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4729161858558655},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4606573283672333},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4208813011646271},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.41613173484802246},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.35782039165496826},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32516783475875854},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15594905614852905},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12928736209869385},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1285640299320221},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09396958351135254}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7725902795791626},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6717801690101624},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.6078125238418579},{"id":"https://openalex.org/C28799612","wikidata":"https://www.wikidata.org/wiki/Q685437","display_name":"Hilbert transform","level":3,"score":0.5485960245132446},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5210365653038025},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.5121028423309326},{"id":"https://openalex.org/C151602998","wikidata":"https://www.wikidata.org/wiki/Q485287","display_name":"Analytic continuation","level":2,"score":0.48820334672927856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4729161858558655},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4606573283672333},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4208813011646271},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41613173484802246},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35782039165496826},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32516783475875854},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15594905614852905},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12928736209869385},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1285640299320221},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09396958351135254},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-012-0501-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-012-0501-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.701.9819","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.701.9819","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.cs.kuleuven.be/%7Edaan.huybrechs/research/TW605.pdf","raw_type":"text"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/331586","is_oa":true,"landing_page_url":"http://www.cs.kuleuven.be/publicaties/rapporten/tw/TW605.abs.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"TW Reports, Report No. TW605","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/331586","is_oa":true,"landing_page_url":"http://www.cs.kuleuven.be/publicaties/rapporten/tw/TW605.abs.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"TW Reports, Report No. TW605","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1488862788","https://openalex.org/W1602827292","https://openalex.org/W1966478028","https://openalex.org/W1970152057","https://openalex.org/W1971099220","https://openalex.org/W1971525833","https://openalex.org/W1977463378","https://openalex.org/W1981115560","https://openalex.org/W2000241802","https://openalex.org/W2002357257","https://openalex.org/W2009986244","https://openalex.org/W2010311824","https://openalex.org/W2011131113","https://openalex.org/W2012601868","https://openalex.org/W2019984076","https://openalex.org/W2025676104","https://openalex.org/W2032425536","https://openalex.org/W2034129752","https://openalex.org/W2044380739","https://openalex.org/W2045431810","https://openalex.org/W2053886231","https://openalex.org/W2053941182","https://openalex.org/W2056701393","https://openalex.org/W2059961698","https://openalex.org/W2061104034","https://openalex.org/W2063208261","https://openalex.org/W2069396377","https://openalex.org/W2073732659","https://openalex.org/W2081814612","https://openalex.org/W2090771853","https://openalex.org/W2102011800","https://openalex.org/W2119494515","https://openalex.org/W2120062331","https://openalex.org/W2133343970","https://openalex.org/W2138075164","https://openalex.org/W2147983461","https://openalex.org/W2152476238","https://openalex.org/W2157005274","https://openalex.org/W2169806412","https://openalex.org/W2170706425","https://openalex.org/W2299769372","https://openalex.org/W2314359380","https://openalex.org/W2801213956","https://openalex.org/W2986057930","https://openalex.org/W3033970385","https://openalex.org/W4212793308","https://openalex.org/W4229988123","https://openalex.org/W4303083268"],"related_works":["https://openalex.org/W3021068127","https://openalex.org/W2049939404","https://openalex.org/W3021415109","https://openalex.org/W2392166846","https://openalex.org/W76811607","https://openalex.org/W238609530","https://openalex.org/W1848405970","https://openalex.org/W2011121568","https://openalex.org/W2273780518","https://openalex.org/W2414870233"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
