{"id":"https://openalex.org/W2117781164","doi":"https://doi.org/10.1007/s10444-010-9148-1","title":"Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem","display_name":"Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem","publication_year":2010,"publication_date":"2010-06-07","ids":{"openalex":"https://openalex.org/W2117781164","doi":"https://doi.org/10.1007/s10444-010-9148-1","mag":"2117781164"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-010-9148-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-010-9148-1","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053038558","display_name":"Y.C. Hon","orcid":"https://orcid.org/0000-0001-5224-6238"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Y. C. Hon","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Hong Kong SAR, People\u2019s Republic of China","Department of Mathematics, City University of Hong Kong, Hong Kong SAR, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Hong Kong SAR, People\u2019s Republic of China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Hong Kong SAR, People's Republic of China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080878515","display_name":"Tomoya Takeuchi","orcid":"https://orcid.org/0000-0003-3570-0675"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tomoya Takeuchi","raw_affiliation_strings":["Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC, USA","Center for Research in Scientific Computation, North Carolina State University, Raleigh, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Center for Research in Scientific Computation, North Carolina State University, Raleigh, USA#TAB#","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053038558"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8522,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.90545697,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"34","issue":"2","first_page":"167","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9815999865531921,"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.9645000100135803,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.9432386159896851},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7001549601554871},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6340721249580383},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.6231690645217896},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5718625783920288},{"id":"https://openalex.org/keywords/heat-kernel","display_name":"Heat kernel","score":0.5395957231521606},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5324676036834717},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5032722353935242},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5014095306396484},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.4937306344509125},{"id":"https://openalex.org/keywords/backus\u2013gilbert-method","display_name":"Backus\u2013Gilbert method","score":0.47689583897590637},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47286343574523926},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.47125911712646484},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.419512540102005},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3566775321960449},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3420830965042114},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.22052040696144104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17685577273368835},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09608453512191772},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09314820170402527},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09079781174659729}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.9432386159896851},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7001549601554871},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6340721249580383},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.6231690645217896},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5718625783920288},{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.5395957231521606},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5324676036834717},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5032722353935242},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5014095306396484},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.4937306344509125},{"id":"https://openalex.org/C27872270","wikidata":"https://www.wikidata.org/wiki/Q4839810","display_name":"Backus\u2013Gilbert method","level":5,"score":0.47689583897590637},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47286343574523926},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.47125911712646484},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.419512540102005},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3566775321960449},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3420830965042114},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.22052040696144104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17685577273368835},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09608453512191772},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09314820170402527},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09079781174659729},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-010-9148-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-010-9148-1","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W91227773","https://openalex.org/W114314968","https://openalex.org/W139523035","https://openalex.org/W575369070","https://openalex.org/W592740744","https://openalex.org/W1486164486","https://openalex.org/W1560349442","https://openalex.org/W1946395138","https://openalex.org/W1966421357","https://openalex.org/W1968735445","https://openalex.org/W1969732038","https://openalex.org/W1978427816","https://openalex.org/W1986280275","https://openalex.org/W1986611168","https://openalex.org/W1996644894","https://openalex.org/W1997057424","https://openalex.org/W1999900856","https://openalex.org/W2004844073","https://openalex.org/W2010527755","https://openalex.org/W2011828031","https://openalex.org/W2014589297","https://openalex.org/W2032718614","https://openalex.org/W2041966964","https://openalex.org/W2042050557","https://openalex.org/W2046838612","https://openalex.org/W2055962168","https://openalex.org/W2067389096","https://openalex.org/W2075586231","https://openalex.org/W2092406734","https://openalex.org/W2103680881","https://openalex.org/W2121402967","https://openalex.org/W2128343574","https://openalex.org/W2135101782","https://openalex.org/W2149846618","https://openalex.org/W2164094632","https://openalex.org/W2170632439","https://openalex.org/W2377177589","https://openalex.org/W2502718168","https://openalex.org/W2573279179"],"related_works":["https://openalex.org/W2366023887","https://openalex.org/W2805921369","https://openalex.org/W2394283419","https://openalex.org/W2118199608","https://openalex.org/W2069968238","https://openalex.org/W2059130945","https://openalex.org/W2807240017","https://openalex.org/W4244092552","https://openalex.org/W2030398504","https://openalex.org/W2355455483"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
