{"id":"https://openalex.org/W2087289568","doi":"https://doi.org/10.1007/s00211-008-0195-1","title":"Function classes for double exponential integration formulas","display_name":"Function classes for double exponential integration formulas","publication_year":2008,"publication_date":"2008-11-26","ids":{"openalex":"https://openalex.org/W2087289568","doi":"https://doi.org/10.1007/s00211-008-0195-1","mag":"2087289568"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-008-0195-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-008-0195-1","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/A5028278086","display_name":"Ken\u2019ichiro Tanaka","orcid":"https://orcid.org/0000-0003-0359-0969"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Ken\u2019ichiro Tanaka","raw_affiliation_strings":["Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan","University of Tokyo, Department of Mathematical Informatics, Graduate School of Information Science and Technology, 7-3-1, Hongo, 113-8656, Bunkyo-ku, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"University of Tokyo, Department of Mathematical Informatics, Graduate School of Information Science and Technology, 7-3-1, Hongo, 113-8656, Bunkyo-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108229624","display_name":"Masaaki Sugihara","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaaki Sugihara","raw_affiliation_strings":["Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan","University of Tokyo, Department of Mathematical Informatics, Graduate School of Information Science and Technology, 7-3-1, Hongo, 113-8656, Bunkyo-ku, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"University of Tokyo, Department of Mathematical Informatics, Graduate School of Information Science and Technology, 7-3-1, Hongo, 113-8656, Bunkyo-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032957138","display_name":"Kazuo Murota","orcid":"https://orcid.org/0000-0003-1518-9152"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuo Murota","raw_affiliation_strings":["Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan","University of Tokyo, Department of Mathematical Informatics, Graduate School of Information Science and Technology, 7-3-1, Hongo, 113-8656, Bunkyo-ku, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"University of Tokyo, Department of Mathematical Informatics, Graduate School of Information Science and Technology, 7-3-1, Hongo, 113-8656, Bunkyo-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110170774","display_name":"Masatake Mori","orcid":null},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masatake Mori","raw_affiliation_strings":["Department of Mathematical Sciences, Tokyo Denki University, Ishizaka, Hatoyama, Hiki, Saitama, 359-0394, Japan","Tokyo Denki University, Department of Mathematical Sciences, Ishizaka, Hatoyama, 359-0394, Hiki, Saitama, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tokyo Denki University, Ishizaka, Hatoyama, Hiki, Saitama, 359-0394, Japan","institution_ids":["https://openalex.org/I165522056"]},{"raw_affiliation_string":"Tokyo Denki University, Department of Mathematical Sciences, Ishizaka, Hatoyama, 359-0394, Hiki, Saitama, Japan","institution_ids":["https://openalex.org/I165522056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028278086"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0891,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.91433765,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"111","issue":"4","first_page":"631","last_page":"655"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9869999885559082,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9869999885559082,"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"}},{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.983299970626831,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9804999828338623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8211889863014221},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.7153552770614624},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6106895208358765},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5605449080467224},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5532983541488647},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5114085078239441},{"id":"https://openalex.org/keywords/double-exponential-function","display_name":"Double exponential function","score":0.46314001083374023},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4462531507015228},{"id":"https://openalex.org/keywords/exponential-polynomial","display_name":"Exponential polynomial","score":0.4222203195095062},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26161491870880127}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8211889863014221},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.7153552770614624},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6106895208358765},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5605449080467224},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5532983541488647},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5114085078239441},{"id":"https://openalex.org/C49016629","wikidata":"https://www.wikidata.org/wiki/Q3075235","display_name":"Double exponential function","level":3,"score":0.46314001083374023},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4462531507015228},{"id":"https://openalex.org/C85384003","wikidata":"https://www.wikidata.org/wiki/Q5421525","display_name":"Exponential polynomial","level":3,"score":0.4222203195095062},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26161491870880127},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-008-0195-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-008-0195-1","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1986700039","https://openalex.org/W1995356931","https://openalex.org/W2008201606","https://openalex.org/W2019332422","https://openalex.org/W2027789185","https://openalex.org/W2034369159","https://openalex.org/W2037658465","https://openalex.org/W2042312320","https://openalex.org/W2067931600","https://openalex.org/W2073732659","https://openalex.org/W2085291969","https://openalex.org/W2089015999","https://openalex.org/W2090332806","https://openalex.org/W2314359380","https://openalex.org/W4236419838","https://openalex.org/W4293185733"],"related_works":["https://openalex.org/W2167537106","https://openalex.org/W2006098455","https://openalex.org/W4313444319","https://openalex.org/W3018285271","https://openalex.org/W4319989551","https://openalex.org/W2062166823","https://openalex.org/W2756176803","https://openalex.org/W4300068646","https://openalex.org/W1995408424","https://openalex.org/W2058974487"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}