{"id":"https://openalex.org/W4212926129","doi":"https://doi.org/10.1080/00207721.2022.2025948","title":"Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications","display_name":"Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications","publication_year":2022,"publication_date":"2022-02-23","ids":{"openalex":"https://openalex.org/W4212926129","doi":"https://doi.org/10.1080/00207721.2022.2025948"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2022.2025948","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2025948","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00207721.2022.2025948?needAccess=true","source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/00207721.2022.2025948?needAccess=true","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055378716","display_name":"Amine Othmane","orcid":"https://orcid.org/0000-0002-8871-3472"},"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/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Amine Othmane","raw_affiliation_strings":["Chair of Systems Theory and Control Engineering, Saarland University, 66123 Saarbr\u00fccken, Germany","Universit\u00e9 Paris-Saclay, CNRS, CentraleSup\u00e9lec, Laboratoire des signaux et syst\u00e8mes, 91190, Gif-sur-Yvette, France"],"raw_orcid":"https://orcid.org/0000-0002-8871-3472","affiliations":[{"raw_affiliation_string":"Chair of Systems Theory and Control Engineering, Saarland University, 66123 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, CentraleSup\u00e9lec, Laboratoire des signaux et syst\u00e8mes, 91190, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000102365","display_name":"Lothar Kiltz","orcid":"https://orcid.org/0000-0003-1219-8037"},"institutions":[{"id":"https://openalex.org/I254181534","display_name":"ZF Friedrichshafen (Germany)","ror":"https://ror.org/021wbbm64","country_code":"DE","type":"company","lineage":["https://openalex.org/I254181534"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lothar Kiltz","raw_affiliation_strings":["ZF Friedrichshafen AG, Corporate Research and Development, 88046 Friedrichshafen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1219-8037","affiliations":[{"raw_affiliation_string":"ZF Friedrichshafen AG, Corporate Research and Development, 88046 Friedrichshafen, Germany","institution_ids":["https://openalex.org/I254181534"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000748343","display_name":"Joachim Rudolph","orcid":"https://orcid.org/0000-0001-8402-2458"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim Rudolph","raw_affiliation_strings":["Chair of Systems Theory and Control Engineering, Saarland University, 66123 Saarbr\u00fccken, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8402-2458","affiliations":[{"raw_affiliation_string":"Chair of Systems Theory and Control Engineering, Saarland University, 66123 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6408,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.93118906,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"53","issue":"9","first_page":"1848","last_page":"1887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11236","display_name":"Control Systems and Identification","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/discretization","display_name":"Discretization","score":0.5532448291778564},{"id":"https://openalex.org/keywords/numerical-differentiation","display_name":"Numerical differentiation","score":0.5488782525062561},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5376225113868713},{"id":"https://openalex.org/keywords/toolbox","display_name":"Toolbox","score":0.49904394149780273},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.49339571595191956},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45045924186706543},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4344111680984497},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4187391698360443},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35871100425720215},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33820071816444397},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3257848620414734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31471002101898193},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10930129885673523}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5532448291778564},{"id":"https://openalex.org/C154181440","wikidata":"https://www.wikidata.org/wiki/Q1683292","display_name":"Numerical differentiation","level":2,"score":0.5488782525062561},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5376225113868713},{"id":"https://openalex.org/C2777655017","wikidata":"https://www.wikidata.org/wiki/Q1501161","display_name":"Toolbox","level":2,"score":0.49904394149780273},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.49339571595191956},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45045924186706543},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4344111680984497},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4187391698360443},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35871100425720215},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33820071816444397},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3257848620414734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31471002101898193},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10930129885673523},{"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/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207721.2022.2025948","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2025948","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00207721.2022.2025948?needAccess=true","source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03586464v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03586464","pdf_url":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Systems Science, 2022, pp.1-40. &#x27E8;10.1080/00207721.2022.2025948&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1848-1887","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2022.2025948","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/00207721.2022.2025948","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2025948","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00207721.2022.2025948?needAccess=true","source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":179,"referenced_works":["https://openalex.org/W37492862","https://openalex.org/W44941724","https://openalex.org/W102513023","https://openalex.org/W207455506","https://openalex.org/W951319756","https://openalex.org/W1482540049","https://openalex.org/W1483976166","https://openalex.org/W1489158807","https://openalex.org/W1511366279","https://openalex.org/W1520195103","https://openalex.org/W1528880454","https://openalex.org/W1534416612","https://openalex.org/W1546311093","https://openalex.org/W1552202388","https://openalex.org/W1563653853","https://openalex.org/W1565826988","https://openalex.org/W1570089119","https://openalex.org/W1581249620","https://openalex.org/W1600158926","https://openalex.org/W1607376850","https://openalex.org/W1654016072","https://openalex.org/W1710039704","https://openalex.org/W1803524194","https://openalex.org/W1951906244","https://openalex.org/W1965638606","https://openalex.org/W1967037921","https://openalex.org/W1967953075","https://openalex.org/W1970508195","https://openalex.org/W1971513836","https://openalex.org/W1973736101","https://openalex.org/W1974131675","https://openalex.org/W1977209575","https://openalex.org/W1978452202","https://openalex.org/W1980361562","https://openalex.org/W1984215648","https://openalex.org/W1986251768","https://openalex.org/W1987951070","https://openalex.org/W1990084043","https://openalex.org/W1995875735","https://openalex.org/W1996177174","https://openalex.org/W1999558720","https://openalex.org/W1999820599","https://openalex.org/W2002925125","https://openalex.org/W2005647967","https://openalex.org/W2007004372","https://openalex.org/W2007188488","https://openalex.org/W2007262014","https://openalex.org/W2010806204","https://openalex.org/W2016573043","https://openalex.org/W2017564142","https://openalex.org/W2018644801","https://openalex.org/W2019003441","https://openalex.org/W2019375098","https://openalex.org/W2023529246","https://openalex.org/W2029763737","https://openalex.org/W2030437254","https://openalex.org/W2030959268","https://openalex.org/W2034180277","https://openalex.org/W2037899883","https://openalex.org/W2038084449","https://openalex.org/W2038377417","https://openalex.org/W2039531047","https://openalex.org/W2042099971","https://openalex.org/W2044569407","https://openalex.org/W2047553107","https://openalex.org/W2051408351","https://openalex.org/W2051845082","https://openalex.org/W2053440166","https://openalex.org/W2056658628","https://openalex.org/W2056872620","https://openalex.org/W2057056717","https://openalex.org/W2057462589","https://openalex.org/W2064221450","https://openalex.org/W2064833342","https://openalex.org/W2065920920","https://openalex.org/W2065972277","https://openalex.org/W2069779357","https://openalex.org/W2069944260","https://openalex.org/W2071165803","https://openalex.org/W2075291812","https://openalex.org/W2075570143","https://openalex.org/W2075979386","https://openalex.org/W2078468695","https://openalex.org/W2080228467","https://openalex.org/W2082049196","https://openalex.org/W2083075787","https://openalex.org/W2083402998","https://openalex.org/W2087747235","https://openalex.org/W2088429582","https://openalex.org/W2097354572","https://openalex.org/W2098832414","https://openalex.org/W2101889122","https://openalex.org/W2102633962","https://openalex.org/W2102756005","https://openalex.org/W2103809116","https://openalex.org/W2108681439","https://openalex.org/W2108891250","https://openalex.org/W2109606373","https://openalex.org/W2109952298","https://openalex.org/W2110334208","https://openalex.org/W2111984646","https://openalex.org/W2112606565","https://openalex.org/W2117824242","https://openalex.org/W2117969169","https://openalex.org/W2118118967","https://openalex.org/W2118866885","https://openalex.org/W2122126708","https://openalex.org/W2129852274","https://openalex.org/W2131116365","https://openalex.org/W2131920939","https://openalex.org/W2133182476","https://openalex.org/W2133295275","https://openalex.org/W2134120396","https://openalex.org/W2135033276","https://openalex.org/W2135887162","https://openalex.org/W2137318549","https://openalex.org/W2138241565","https://openalex.org/W2146515184","https://openalex.org/W2148552747","https://openalex.org/W2149614148","https://openalex.org/W2150005359","https://openalex.org/W2153765698","https://openalex.org/W2154791718","https://openalex.org/W2158453836","https://openalex.org/W2160788529","https://openalex.org/W2160882803","https://openalex.org/W2161786391","https://openalex.org/W2167048639","https://openalex.org/W2170327615","https://openalex.org/W2171048553","https://openalex.org/W2171493055","https://openalex.org/W2171586947","https://openalex.org/W2186015624","https://openalex.org/W2215981904","https://openalex.org/W2257039281","https://openalex.org/W2283760338","https://openalex.org/W2305491508","https://openalex.org/W2333143433","https://openalex.org/W2337920847","https://openalex.org/W2460347829","https://openalex.org/W2482439325","https://openalex.org/W2483800471","https://openalex.org/W2506035190","https://openalex.org/W2520572625","https://openalex.org/W2565316982","https://openalex.org/W2567289819","https://openalex.org/W2578779699","https://openalex.org/W2581158646","https://openalex.org/W2598287015","https://openalex.org/W2600968194","https://openalex.org/W2609544495","https://openalex.org/W2610760078","https://openalex.org/W2761567877","https://openalex.org/W2771564283","https://openalex.org/W2773057302","https://openalex.org/W2777119678","https://openalex.org/W2783663017","https://openalex.org/W2887053799","https://openalex.org/W2889715070","https://openalex.org/W2923943664","https://openalex.org/W2924954709","https://openalex.org/W2964275488","https://openalex.org/W3009150161","https://openalex.org/W3023227193","https://openalex.org/W3037965583","https://openalex.org/W3090849960","https://openalex.org/W3121785809","https://openalex.org/W3132757156","https://openalex.org/W3156741695","https://openalex.org/W3164472458","https://openalex.org/W3183343376","https://openalex.org/W3190999180","https://openalex.org/W3199704331","https://openalex.org/W4237621603","https://openalex.org/W4248804864","https://openalex.org/W4252713891","https://openalex.org/W4295022726","https://openalex.org/W4300223101","https://openalex.org/W4300780036"],"related_works":["https://openalex.org/W2068663075","https://openalex.org/W2978678743","https://openalex.org/W2797837731","https://openalex.org/W2150344375","https://openalex.org/W829257147","https://openalex.org/W3081389670","https://openalex.org/W4385302116","https://openalex.org/W3044929382","https://openalex.org/W2470346431","https://openalex.org/W1975795843"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
