{"id":"https://openalex.org/W4318068504","doi":"https://doi.org/10.1137/22m1509837","title":"Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation","display_name":"Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation","publication_year":2023,"publication_date":"2023-01-17","ids":{"openalex":"https://openalex.org/W4318068504","doi":"https://doi.org/10.1137/22m1509837"},"language":"en","primary_location":{"id":"doi:10.1137/22m1509837","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1509837","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5006099683","display_name":"Michael V. Klibanov","orcid":"https://orcid.org/0000-0001-5179-6879"},"institutions":[{"id":"https://openalex.org/I102149020","display_name":"University of North Carolina at Charlotte","ror":"https://ror.org/04dawnj30","country_code":"US","type":"education","lineage":["https://openalex.org/I102149020"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael V. Klibanov","raw_affiliation_strings":["Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223 USA","institution_ids":["https://openalex.org/I102149020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065742678","display_name":"Jingzhi Li","orcid":"https://orcid.org/0000-0003-1816-9464"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingzhi Li","raw_affiliation_strings":["Corresponding author. Department of Mathematics, National Center for Applied Mathematics Shenzhen, SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen 518055, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Mathematics, National Center for Applied Mathematics Shenzhen, SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen 518055, People\u2019s Republic of China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000863257","display_name":"Loc H. Nguyen","orcid":"https://orcid.org/0000-0002-0172-8816"},"institutions":[{"id":"https://openalex.org/I102149020","display_name":"University of North Carolina at Charlotte","ror":"https://ror.org/04dawnj30","country_code":"US","type":"education","lineage":["https://openalex.org/I102149020"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Loc H. Nguyen","raw_affiliation_strings":["Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223 USA","institution_ids":["https://openalex.org/I102149020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040048102","display_name":"Zhipeng Yang","orcid":"https://orcid.org/0000-0002-1886-8866"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhipeng Yang","raw_affiliation_strings":["Department of Mathematics, Southern University of Science and Technology, Shenzhen 518055, People\u2019s Republic of China","Department of Mathematics, Southern University of Science and Technology, Shenzhen 518055, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southern University of Science and Technology, Shenzhen 518055, People\u2019s Republic of China","institution_ids":["https://openalex.org/I3045169105"]},{"raw_affiliation_string":"Department of Mathematics, Southern University of Science and Technology, Shenzhen 518055, People's Republic of China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006099683"],"corresponding_institution_ids":["https://openalex.org/I102149020"],"apc_list":null,"apc_paid":null,"fwci":6.4243,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.98142065,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"16","issue":"1","first_page":"35","last_page":"63"},"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9800000190734863,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/radiative-transfer","display_name":"Radiative transfer","score":0.77027428150177},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.7190955281257629},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6490586996078491},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5706869959831238},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5438959002494812},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.517282247543335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5122351050376892},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48427480459213257},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.4475371539592743},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21544361114501953},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14065995812416077},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06326368451118469}],"concepts":[{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.77027428150177},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.7190955281257629},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6490586996078491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5706869959831238},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5438959002494812},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.517282247543335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5122351050376892},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48427480459213257},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.4475371539592743},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21544361114501953},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14065995812416077},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06326368451118469},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1509837","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1509837","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2732740202","display_name":null,"funder_award_id":"DMS-2208159","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3093718622","display_name":null,"funder_award_id":"11971221","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5503495706","display_name":null,"funder_award_id":"111272","funder_id":"https://openalex.org/F4320333028","funder_display_name":"University of North Carolina at Charlotte"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320333028","display_name":"University of North Carolina at Charlotte","ror":"https://ror.org/04dawnj30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W118992291","https://openalex.org/W1988566384","https://openalex.org/W2012755947","https://openalex.org/W2023999127","https://openalex.org/W2024905581","https://openalex.org/W2030727075","https://openalex.org/W2044517200","https://openalex.org/W2051470240","https://openalex.org/W2073378807","https://openalex.org/W2092958877","https://openalex.org/W2121402967","https://openalex.org/W2131684723","https://openalex.org/W2270919209","https://openalex.org/W2565148001","https://openalex.org/W2565502280","https://openalex.org/W2594342312","https://openalex.org/W2744747158","https://openalex.org/W2768728395","https://openalex.org/W2794845301","https://openalex.org/W2901091225","https://openalex.org/W2956557560","https://openalex.org/W2963112046","https://openalex.org/W2963810156","https://openalex.org/W2969623672","https://openalex.org/W2972643127","https://openalex.org/W3000334394","https://openalex.org/W3014778521","https://openalex.org/W3026195366","https://openalex.org/W3035122231","https://openalex.org/W3104143121","https://openalex.org/W3105135152","https://openalex.org/W3106075130","https://openalex.org/W3136777207","https://openalex.org/W3201894630","https://openalex.org/W4241214195","https://openalex.org/W4252253229","https://openalex.org/W4298264214"],"related_works":["https://openalex.org/W122617759","https://openalex.org/W2611639027","https://openalex.org/W4386555858","https://openalex.org/W2997769190","https://openalex.org/W2050857945","https://openalex.org/W2331917905","https://openalex.org/W3155039083","https://openalex.org/W2039891891","https://openalex.org/W1970914699","https://openalex.org/W1982328599"],"abstract_inverted_index":{".An":[0],"\\((n+1)\\)":[1],"-D":[2],"coefficient":[3],"inverse":[4,50],"problem":[5],"for":[6,14],"the":[7,15,45],"stationary":[8],"radiative":[9],"transport":[10,52],"equation":[11],"is":[12,25,31,35],"considered":[13],"first":[16],"time.":[17],"A":[18],"globally":[19],"convergent":[20],"so-called":[21],"convexification":[22],"numerical":[23,42],"method":[24],"developed":[26],"and":[27],"its":[28],"convergence":[29,57],"analysis":[30,34],"provided.":[32],"The":[33],"based":[36],"on":[37],"a":[38],"Carleman":[39],"estimate.":[40],"Extensive":[41],"studies":[43],"in":[44],"two-dimensional":[46],"case":[47],"are":[48],"presented.Keywordscoefficient":[49],"problemradiative":[51],"equationconvexification":[53],"methodspecial":[54],"orthonormal":[55],"basisglobal":[56],"analysisnumerical":[58],"experimentsMSC":[59],"codes35R3065M32":[60]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}
