{"id":"https://openalex.org/W2019394492","doi":"https://doi.org/10.1007/s00211-002-0417-x","title":"Self?regularization by projection for noisy pseudodifferential equations of negative order","display_name":"Self?regularization by projection for noisy pseudodifferential equations of negative order","publication_year":2003,"publication_date":"2003-07-01","ids":{"openalex":"https://openalex.org/W2019394492","doi":"https://doi.org/10.1007/s00211-002-0417-x","mag":"2019394492"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-002-0417-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-002-0417-x","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/A5005562022","display_name":"Helmut Harbrecht","orcid":"https://orcid.org/0000-0003-0093-5706"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Helmut Harbrecht","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, 09107, Chemnitz, Germany","Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany 09107#TAB#"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany 09107#TAB#","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065828214","display_name":"Sergei V. Pereverzev","orcid":"https://orcid.org/0000-0001-5980-7026"},"institutions":[{"id":"https://openalex.org/I190444043","display_name":"Institute of Mathematics","ror":"https://ror.org/04q3mp532","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I190444043"]},{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"funder","lineage":["https://openalex.org/I149851306"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Sergei Pereverzev","raw_affiliation_strings":["Ukrainian Academy of Sciences, Institute of Mathematics, Tereshchenkivska St. 3, Kiev 4, Ukraine","Ukrainian Academy of Sciences, Institute of Mathematics, Kiev 4, Ukraine#TAB#"],"affiliations":[{"raw_affiliation_string":"Ukrainian Academy of Sciences, Institute of Mathematics, Tereshchenkivska St. 3, Kiev 4, Ukraine","institution_ids":["https://openalex.org/I190444043"]},{"raw_affiliation_string":"Ukrainian Academy of Sciences, Institute of Mathematics, Kiev 4, Ukraine#TAB#","institution_ids":["https://openalex.org/I149851306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102878006","display_name":"Reinhold Schneider","orcid":"https://orcid.org/0000-0003-0529-7467"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Reinhold Schneider","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, 09107, Chemnitz, Germany","Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany 09107#TAB#"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany 09107#TAB#","institution_ids":["https://openalex.org/I2610724"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005562022"],"corresponding_institution_ids":["https://openalex.org/I2610724"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7001,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.81660159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"95","issue":"1","first_page":"123","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"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":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8833796381950378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8342591524124146},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7809975147247314},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7247867584228516},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5916734933853149},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5160131454467773},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.47943609952926636},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.41550761461257935},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35942408442497253},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24616950750350952},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1288261115550995},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0788869857788086}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8833796381950378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8342591524124146},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7809975147247314},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7247867584228516},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5916734933853149},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5160131454467773},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.47943609952926636},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.41550761461257935},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35942408442497253},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24616950750350952},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1288261115550995},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0788869857788086}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-002-0417-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-002-0417-x","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W187546249","https://openalex.org/W1483446983","https://openalex.org/W1992575806","https://openalex.org/W1994031762","https://openalex.org/W1996326731","https://openalex.org/W2001449429","https://openalex.org/W2004485838","https://openalex.org/W2006882814","https://openalex.org/W2012178477","https://openalex.org/W2028810944","https://openalex.org/W2031604650","https://openalex.org/W2053424134","https://openalex.org/W2072759509","https://openalex.org/W2078067115","https://openalex.org/W2079275676","https://openalex.org/W2080838153","https://openalex.org/W2092543127","https://openalex.org/W2100884899","https://openalex.org/W2115566547","https://openalex.org/W2116956432","https://openalex.org/W2137224975","https://openalex.org/W2141195893","https://openalex.org/W2145962863","https://openalex.org/W2504206798","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W4288323582","https://openalex.org/W2951617381","https://openalex.org/W4239618105"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
