{"id":"https://openalex.org/W2043634277","doi":"https://doi.org/10.1007/s11075-007-9127-x","title":"Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data","display_name":"Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data","publication_year":2007,"publication_date":"2007-10-16","ids":{"openalex":"https://openalex.org/W2043634277","doi":"https://doi.org/10.1007/s11075-007-9127-x","mag":"2043634277"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-007-9127-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-007-9127-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5084880102","display_name":"Dennis M. Cates","orcid":null},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dennis Cates","raw_affiliation_strings":["Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona, 85287, USA","Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona, 85287, USA","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052474931","display_name":"Anne Gelb","orcid":"https://orcid.org/0000-0002-9219-4572"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anne Gelb","raw_affiliation_strings":["Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona, 85287, USA","Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona, 85287, USA","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052474931"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3253,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.57679811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"46","issue":"1","first_page":"59","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9850999712944031,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9700000286102295,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.9485040903091431},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.7933498620986938},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.741756021976471},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7413058280944824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6608577370643616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5892847776412964},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5777806043624878},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5083526968955994},{"id":"https://openalex.org/keywords/second-derivative","display_name":"Second derivative","score":0.4188946783542633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3235299587249756},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3216784596443176},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15244075655937195}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.9485040903091431},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.7933498620986938},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.741756021976471},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7413058280944824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6608577370643616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5892847776412964},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5777806043624878},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5083526968955994},{"id":"https://openalex.org/C33257320","wikidata":"https://www.wikidata.org/wiki/Q1932744","display_name":"Second derivative","level":2,"score":0.4188946783542633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3235299587249756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3216784596443176},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15244075655937195},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-007-9127-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-007-9127-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W37489506","https://openalex.org/W86549454","https://openalex.org/W1521875821","https://openalex.org/W1558122728","https://openalex.org/W1596971969","https://openalex.org/W1602107991","https://openalex.org/W1635622277","https://openalex.org/W1647470094","https://openalex.org/W1805381866","https://openalex.org/W1912930600","https://openalex.org/W1964699038","https://openalex.org/W1973643752","https://openalex.org/W1985483518","https://openalex.org/W1989572515","https://openalex.org/W2003370853","https://openalex.org/W2030382489","https://openalex.org/W2059757992","https://openalex.org/W2071004961","https://openalex.org/W2088700788","https://openalex.org/W2100257039","https://openalex.org/W2114033203","https://openalex.org/W2118526094","https://openalex.org/W2131778920","https://openalex.org/W2132110236","https://openalex.org/W2132428256","https://openalex.org/W2145023731","https://openalex.org/W2148577485","https://openalex.org/W2152328854","https://openalex.org/W2152469101","https://openalex.org/W2169267889","https://openalex.org/W2321585011","https://openalex.org/W2408478130","https://openalex.org/W2798788284","https://openalex.org/W4205941982","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W2062507148","https://openalex.org/W2953303953","https://openalex.org/W1989549950","https://openalex.org/W4309800518","https://openalex.org/W2232767080","https://openalex.org/W4365451610","https://openalex.org/W2108135454","https://openalex.org/W2118767721","https://openalex.org/W752408711","https://openalex.org/W2043634277"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}