{"id":"https://openalex.org/W2089786039","doi":"https://doi.org/10.1137/100808174","title":"Multiscale Discrete Approximation of Fourier Integral Operators","display_name":"Multiscale Discrete Approximation of Fourier Integral Operators","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2089786039","doi":"https://doi.org/10.1137/100808174","mag":"2089786039"},"language":"en","primary_location":{"id":"doi:10.1137/100808174","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100808174","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"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/A5076684330","display_name":"Fredrik Andersson","orcid":"https://orcid.org/0000-0001-6327-7785"},"institutions":[{"id":"https://openalex.org/I4210093057","display_name":"Faculty (United Kingdom)","ror":"https://ror.org/00qpxe165","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210093057"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Fredrik Andersson","raw_affiliation_strings":["Mathematics (Faculty of Engineering)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics (Faculty of Engineering)","institution_ids":["https://openalex.org/I4210093057"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026803226","display_name":"Maarten V. de Hoop","orcid":"https://orcid.org/0000-0002-6333-0379"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maarten V. de Hoop","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008685312","display_name":"Herwig Wendt","orcid":"https://orcid.org/0000-0001-6930-3083"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Herwig Wendt","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6747,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.82636103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"1","first_page":"111","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8037448525428772},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.656919002532959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.626677393913269},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5706706047058105},{"id":"https://openalex.org/keywords/microlocal-analysis","display_name":"Microlocal analysis","score":0.4909675419330597},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4851139783859253},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46475568413734436},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.3373907208442688},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13561996817588806}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8037448525428772},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.656919002532959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.626677393913269},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5706706047058105},{"id":"https://openalex.org/C129683796","wikidata":"https://www.wikidata.org/wiki/Q430450","display_name":"Microlocal analysis","level":4,"score":0.4909675419330597},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4851139783859253},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46475568413734436},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3373907208442688},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13561996817588806},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/100808174","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100808174","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:lup.lub.lu.se:93771e00-1307-4dca-bf7f-80031ed855e9","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/2224387","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1540-3459","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W563777065","https://openalex.org/W1615989357","https://openalex.org/W1762506961","https://openalex.org/W1972862825","https://openalex.org/W1978029128","https://openalex.org/W1979116456","https://openalex.org/W1983310738","https://openalex.org/W1986634257","https://openalex.org/W1993700748","https://openalex.org/W1995816184","https://openalex.org/W1997096414","https://openalex.org/W1997990041","https://openalex.org/W1998152471","https://openalex.org/W1999143616","https://openalex.org/W2002961161","https://openalex.org/W2004682961","https://openalex.org/W2006025109","https://openalex.org/W2006709299","https://openalex.org/W2010122118","https://openalex.org/W2026715250","https://openalex.org/W2029613301","https://openalex.org/W2032693829","https://openalex.org/W2033875273","https://openalex.org/W2038019732","https://openalex.org/W2041053068","https://openalex.org/W2041214608","https://openalex.org/W2042597968","https://openalex.org/W2045876766","https://openalex.org/W2054382196","https://openalex.org/W2061742818","https://openalex.org/W2063399239","https://openalex.org/W2067111814","https://openalex.org/W2070832491","https://openalex.org/W2071565598","https://openalex.org/W2073469810","https://openalex.org/W2088801740","https://openalex.org/W2090744237","https://openalex.org/W2094199043","https://openalex.org/W2094585768","https://openalex.org/W2099838526","https://openalex.org/W2100864161","https://openalex.org/W2102351359","https://openalex.org/W2106397208","https://openalex.org/W2108524088","https://openalex.org/W2109796866","https://openalex.org/W2115528090","https://openalex.org/W2115706991","https://openalex.org/W2129743254","https://openalex.org/W2134972164","https://openalex.org/W2139670821","https://openalex.org/W2141044221","https://openalex.org/W2151965073","https://openalex.org/W2157609266","https://openalex.org/W2167208435","https://openalex.org/W2168606006","https://openalex.org/W2330692112","https://openalex.org/W3129186208","https://openalex.org/W3135683446","https://openalex.org/W4210381520","https://openalex.org/W4230300591","https://openalex.org/W4240906956"],"related_works":["https://openalex.org/W633515059","https://openalex.org/W123562255","https://openalex.org/W2109258533","https://openalex.org/W1004063606","https://openalex.org/W2148632394","https://openalex.org/W2029291378","https://openalex.org/W2952122587","https://openalex.org/W2120718072","https://openalex.org/W2285383806","https://openalex.org/W2023994005"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,47],"discretization":[3,41,88],"and":[4,33,42,66,89,104],"computational":[5,90,109],"procedures":[6,91],"for":[7,26],"approximation":[8],"of":[9,12,19,31,36,51,54,63,70,84],"the":[10,16,29,52,59,82,94],"action":[11,53],"Fourier":[13,55],"integral":[14,56],"operators":[15,24,57],"canonical":[17],"relations":[18],"which":[20,79],"are":[21,44],"graphs.":[22],"Such":[23],"appear,":[25],"instance,":[27],"in":[28],"formulation":[30],"imaging":[32,105],"inverse":[34],"scattering":[35],"seismic":[37],"reflection":[38],"data.":[39],"Our":[40],"algorithms":[43],"based":[45],"on":[46,67],"multiscale":[48],"low-rank":[49,71],"expansion":[50],"using":[58,74],"dyadic":[60],"parabolic":[61],"decomposition":[62],"phase":[64],"space":[65],"explicit":[68],"constructions":[69],"separated":[72],"representations":[73],"prolate":[75],"spheroidal":[76],"wave":[77,98,102],"functions,":[78],"directly":[80],"reflect":[81],"geometry":[83],"such":[85],"operators.":[86],"The":[87],"connect":[92],"to":[93],"discrete":[95],"almost":[96],"symmetric":[97],"packet":[99],"transform.":[100],"Numerical":[101],"propagation":[103],"examples":[106],"illustrate":[107],"our":[108],"procedures.":[110]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
