{"id":"https://openalex.org/W2171800685","doi":"https://doi.org/10.1007/s10444-009-9136-5","title":"Numerical pseudodifferential operator and Fourier regularization","display_name":"Numerical pseudodifferential operator and Fourier regularization","publication_year":2009,"publication_date":"2009-07-21","ids":{"openalex":"https://openalex.org/W2171800685","doi":"https://doi.org/10.1007/s10444-009-9136-5","mag":"2171800685"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-009-9136-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-009-9136-5","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ir.lzu.edu.cn/handle/262010/118384","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102079409","display_name":"Chu\u2010Li Fu","orcid":"https://orcid.org/0009-0000-6722-1017"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chu-Li Fu","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070275365","display_name":"Zhi Qian","orcid":"https://orcid.org/0000-0002-5254-1795"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]},{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi Qian","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Nanjing, 210093, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing, 210093, People\u2019s Republic of China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China","institution_ids":["https://openalex.org/I76214153"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102079409"],"corresponding_institution_ids":["https://openalex.org/I76214153"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6575,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.82485932,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"33","issue":"4","first_page":"449","last_page":"470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9959999918937683,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/pseudodifferential-operators","display_name":"Pseudodifferential operators","score":0.9280585050582886},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7276990413665771},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6967308521270752},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.640997588634491},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5593203902244568},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.513468325138092},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4993293285369873},{"id":"https://openalex.org/keywords/numerical-range","display_name":"Numerical range","score":0.48157548904418945},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.45272117853164673},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41014406085014343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36454933881759644},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3290819525718689},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15468260645866394},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.05272820591926575}],"concepts":[{"id":"https://openalex.org/C3020036199","wikidata":"https://www.wikidata.org/wiki/Q1644451","display_name":"Pseudodifferential operators","level":2,"score":0.9280585050582886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7276990413665771},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6967308521270752},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.640997588634491},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5593203902244568},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.513468325138092},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4993293285369873},{"id":"https://openalex.org/C193060811","wikidata":"https://www.wikidata.org/wiki/Q1579053","display_name":"Numerical range","level":2,"score":0.48157548904418945},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.45272117853164673},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41014406085014343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36454933881759644},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3290819525718689},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15468260645866394},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05272820591926575},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-009-9136-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-009-9136-5","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/118384","is_oa":true,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/118384","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:ir.lzu.edu.cn/:262010/118384","is_oa":true,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/118384","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1532154335","https://openalex.org/W1570089119","https://openalex.org/W1574584754","https://openalex.org/W1964097540","https://openalex.org/W1966384449","https://openalex.org/W1991821392","https://openalex.org/W1997057424","https://openalex.org/W1998062186","https://openalex.org/W2017133486","https://openalex.org/W2019394492","https://openalex.org/W2020201585","https://openalex.org/W2022653655","https://openalex.org/W2025957493","https://openalex.org/W2030555394","https://openalex.org/W2032588387","https://openalex.org/W2042819463","https://openalex.org/W2046259408","https://openalex.org/W2046511831","https://openalex.org/W2049235258","https://openalex.org/W2077506191","https://openalex.org/W2081289139","https://openalex.org/W2081958888","https://openalex.org/W2082951057","https://openalex.org/W2085763429","https://openalex.org/W2086043021","https://openalex.org/W2139678134","https://openalex.org/W2759446473","https://openalex.org/W3130972016"],"related_works":["https://openalex.org/W4298285280","https://openalex.org/W3103160120","https://openalex.org/W3156238276","https://openalex.org/W4300631204","https://openalex.org/W51962763","https://openalex.org/W2997435934","https://openalex.org/W2096467061","https://openalex.org/W2102789413","https://openalex.org/W2183324195","https://openalex.org/W3151404405"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
