{"id":"https://openalex.org/W4283073099","doi":"https://doi.org/10.1137/22m1472930","title":"A Directional Equispaced Interpolation-Based Fast Multipole Method for Oscillatory Kernels","display_name":"A Directional Equispaced Interpolation-Based Fast Multipole Method for Oscillatory Kernels","publication_year":2023,"publication_date":"2023-02-22","ids":{"openalex":"https://openalex.org/W4283073099","doi":"https://doi.org/10.1137/22m1472930"},"language":"en","primary_location":{"id":"doi:10.1137/22m1472930","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1472930","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://hal.science/hal-03563005/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035513651","display_name":"Igor Chollet","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4389425457","display_name":"Institut des Sciences du Calcul et des Donn\u00e9es","ror":"https://ror.org/00y16rm59","country_code":null,"type":"facility","lineage":["https://openalex.org/I39804081","https://openalex.org/I4389425457"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Igor Chollet","raw_affiliation_strings":["Institut des Sciences du Calcul et des Donn\u00e9es (ISCD), INRIA Alpines, Paris, France","ISCD - Institut des Sciences du Calcul et des Donn\u00e9es (Sorbonne-Universit\u00e9, Campus Jussieu 4 Place Jussieu, 75005 Paris - France)","ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut des Sciences du Calcul et des Donn\u00e9es (ISCD), INRIA Alpines, Paris, France","institution_ids":["https://openalex.org/I4389425457","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"ISCD - Institut des Sciences du Calcul et des Donn\u00e9es (Sorbonne-Universit\u00e9, Campus Jussieu 4 Place Jussieu, 75005 Paris - France)","institution_ids":["https://openalex.org/I4389425457","https://openalex.org/I39804081","https://openalex.org/I3017942884"]},{"raw_affiliation_string":"ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002742743","display_name":"Xavier Claeys","orcid":"https://orcid.org/0000-0003-0826-6244"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Claeys","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, Inria \u00e9quipe ALPINES, F-75005 Paris, France","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)"],"raw_orcid":"https://orcid.org/0000-0003-0826-6244","affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, Inria \u00e9quipe ALPINES, F-75005 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060046643","display_name":"Pierre Fortin","orcid":"https://orcid.org/0000-0003-3117-9122"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Fortin","raw_affiliation_strings":["Sorbonne Universit\u00e9, CNRS, LIP6, F-75005 Paris, France, and Univ. Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, F-59000 Lille, France","CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","PEQUAN - Performance et Qualit\u00e9 des Algorithmes Num\u00e9riques (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, CNRS, LIP6, F-75005 Paris, France, and Univ. Lille, CNRS, Centrale Lille, UMR 9189 CRIStAL, F-59000 Lille, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I2279609970","https://openalex.org/I7454413","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (Universit\u00e9 de Lille - Campus scientifique - B\u00e2timent ESPRIT - Avenue Henri Poincar\u00e9 - 59655 Villeneuve d\u2019Ascq - France)","institution_ids":["https://openalex.org/I4210115519","https://openalex.org/I2279609970"]},{"raw_affiliation_string":"PEQUAN - Performance et Qualit\u00e9 des Algorithmes Num\u00e9riques (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040521001","display_name":"Laura Grigori","orcid":"https://orcid.org/0000-0002-5880-1076"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laura Grigori","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, Inria \u00e9quipe ALPINES, F-75005 Paris, France","ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, Inria \u00e9quipe ALPINES, F-75005 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)","institution_ids":[]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.191,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.47611146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"45","issue":"1","first_page":"C20","last_page":"C48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11312","display_name":"Soil Moisture and Remote Sensing","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fast-multipole-method","display_name":"Fast multipole method","score":0.779258668422699},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.7107820510864258},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6178189516067505},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5995393991470337},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5050602555274963},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49846315383911133},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4929902255535126},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.46826058626174927},{"id":"https://openalex.org/keywords/precomputation","display_name":"Precomputation","score":0.4509468078613281},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4100843071937561},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4091866612434387},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32434844970703125},{"id":"https://openalex.org/keywords/multipole-expansion","display_name":"Multipole expansion","score":0.3219859004020691},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3206791877746582},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31465694308280945},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.1973128616809845},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09522408246994019}],"concepts":[{"id":"https://openalex.org/C135115559","wikidata":"https://www.wikidata.org/wiki/Q5437040","display_name":"Fast multipole method","level":3,"score":0.779258668422699},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.7107820510864258},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6178189516067505},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5995393991470337},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5050602555274963},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49846315383911133},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4929902255535126},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.46826058626174927},{"id":"https://openalex.org/C159379195","wikidata":"https://www.wikidata.org/wiki/Q7239568","display_name":"Precomputation","level":3,"score":0.4509468078613281},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4100843071937561},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4091866612434387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32434844970703125},{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.3219859004020691},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3206791877746582},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31465694308280945},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.1973128616809845},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09522408246994019},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1472930","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1472930","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:HAL:hal-03563005v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03563005","pdf_url":"https://hal.science/hal-03563005/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"SIAM Journal on Scientific Computing, 2023, 45 (1), pp.C20-C48. ⟨10.1137/22M1472930⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03563005v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03563005","pdf_url":"https://hal.science/hal-03563005/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"SIAM Journal on Scientific Computing, 2023, 45 (1), pp.C20-C48. ⟨10.1137/22M1472930⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283073099.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1963750172","https://openalex.org/W1976414852","https://openalex.org/W1977294297","https://openalex.org/W1977553864","https://openalex.org/W1998498466","https://openalex.org/W2008114971","https://openalex.org/W2019762760","https://openalex.org/W2022462423","https://openalex.org/W2030435498","https://openalex.org/W2038977052","https://openalex.org/W2051395078","https://openalex.org/W2068961333","https://openalex.org/W2080457038","https://openalex.org/W2083206954","https://openalex.org/W2100529057","https://openalex.org/W2102182691","https://openalex.org/W2117762537","https://openalex.org/W2117926105","https://openalex.org/W2128601600","https://openalex.org/W2264065105","https://openalex.org/W2779765343","https://openalex.org/W2963117067","https://openalex.org/W2964102237","https://openalex.org/W3104516771","https://openalex.org/W3106065764"],"related_works":["https://openalex.org/W1822333417","https://openalex.org/W2952819168","https://openalex.org/W2158582466","https://openalex.org/W2076771790","https://openalex.org/W3105194265","https://openalex.org/W599820626","https://openalex.org/W9152652","https://openalex.org/W2034268890","https://openalex.org/W47721382","https://openalex.org/W2167163880"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}