{"id":"https://openalex.org/W2068527585","doi":"https://doi.org/10.1007/s00211-004-0538-5","title":"Fast convolution with radial kernels at nonequispaced knots","display_name":"Fast convolution with radial kernels at nonequispaced knots","publication_year":2004,"publication_date":"2004-06-15","ids":{"openalex":"https://openalex.org/W2068527585","doi":"https://doi.org/10.1007/s00211-004-0538-5","mag":"2068527585"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-004-0538-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-004-0538-5","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020926962","display_name":"Daniel Potts","orcid":"https://orcid.org/0000-0003-3651-4364"},"institutions":[{"id":"https://openalex.org/I9341345","display_name":"University of L\u00fcbeck","ror":"https://ror.org/00t3r8h32","country_code":"DE","type":"education","lineage":["https://openalex.org/I9341345"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Daniel Potts","raw_affiliation_strings":["University of L\u00fcbeck, Institute of Mathematics, 23560, L\u00fcbeck, Germany","Institute of Mathematics, University of L\u00fcbeck, 23560, L\u00fcbeck, Germany"],"affiliations":[{"raw_affiliation_string":"University of L\u00fcbeck, Institute of Mathematics, 23560, L\u00fcbeck, Germany","institution_ids":["https://openalex.org/I9341345"]},{"raw_affiliation_string":"Institute of Mathematics, University of L\u00fcbeck, 23560, L\u00fcbeck, Germany","institution_ids":["https://openalex.org/I9341345"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008755474","display_name":"Gabriele Steidl","orcid":"https://orcid.org/0000-0003-4638-9245"},"institutions":[{"id":"https://openalex.org/I177802217","display_name":"University of Mannheim","ror":"https://ror.org/031bsb921","country_code":"DE","type":"education","lineage":["https://openalex.org/I177802217"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gabriele Steidl","raw_affiliation_strings":["University of Mannheim, Faculty of Mathematics and Computer Science, 68131, Mannheim, Germany","Faculty of Mathematics and Computer Science, University of Mannheim, 68131, Mannheim, Germany"],"affiliations":[{"raw_affiliation_string":"University of Mannheim, Faculty of Mathematics and Computer Science, 68131, Mannheim, Germany","institution_ids":["https://openalex.org/I177802217"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Mannheim, 68131, Mannheim, Germany","institution_ids":["https://openalex.org/I177802217"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045323188","display_name":"Arthur Nieslony","orcid":null},"institutions":[{"id":"https://openalex.org/I177802217","display_name":"University of Mannheim","ror":"https://ror.org/031bsb921","country_code":"DE","type":"education","lineage":["https://openalex.org/I177802217"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Arthur Nieslony","raw_affiliation_strings":["University of Mannheim, Faculty of Mathematics and Computer Science, 68131, Mannheim, Germany","Faculty of Mathematics and Computer Science, University of Mannheim, 68131, Mannheim, Germany"],"affiliations":[{"raw_affiliation_string":"University of Mannheim, Faculty of Mathematics and Computer Science, 68131, Mannheim, Germany","institution_ids":["https://openalex.org/I177802217"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Mannheim, 68131, Mannheim, Germany","institution_ids":["https://openalex.org/I177802217"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020926962"],"corresponding_institution_ids":["https://openalex.org/I9341345"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.2829,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.92547144,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"98","issue":"2","first_page":"329","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9993000030517578,"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":0.9993000030517578,"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/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8579952716827393},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5791400671005249},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5752294063568115},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5210511088371277},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.482269823551178},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.46890178322792053},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4279443621635437},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3376278281211853},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3253459334373474},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19823482632637024},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10667228698730469},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07414716482162476}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8579952716827393},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5791400671005249},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5752294063568115},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5210511088371277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.482269823551178},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.46890178322792053},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4279443621635437},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3376278281211853},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3253459334373474},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19823482632637024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10667228698730469},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07414716482162476},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-004-0538-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-004-0538-5","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:10.1.1.117.5367","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.117.5367","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tu-chemnitz.de/~potts/paper/nnfftrad.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.128.3629","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.3629","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tu-chemnitz.de/~potts/paper/nnfftrad.pdf","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":24,"referenced_works":["https://openalex.org/W35533706","https://openalex.org/W104550922","https://openalex.org/W1521808174","https://openalex.org/W1561562988","https://openalex.org/W1974786074","https://openalex.org/W1989056711","https://openalex.org/W1989723240","https://openalex.org/W1997096414","https://openalex.org/W2005904620","https://openalex.org/W2010122118","https://openalex.org/W2018419001","https://openalex.org/W2034938174","https://openalex.org/W2044550158","https://openalex.org/W2044662130","https://openalex.org/W2052150479","https://openalex.org/W2054557822","https://openalex.org/W2060410460","https://openalex.org/W2083206954","https://openalex.org/W2087928860","https://openalex.org/W2118827576","https://openalex.org/W2132994877","https://openalex.org/W2155978565","https://openalex.org/W2160431995","https://openalex.org/W2181369982"],"related_works":["https://openalex.org/W4327521644","https://openalex.org/W2978884468","https://openalex.org/W3132558499","https://openalex.org/W3034421924","https://openalex.org/W2982536526","https://openalex.org/W4386858688","https://openalex.org/W4380302312","https://openalex.org/W4390971171","https://openalex.org/W4385338604","https://openalex.org/W3081626085"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}
