{"id":"https://openalex.org/W2964163615","doi":"https://doi.org/10.1080/00207160.2019.1622686","title":"A multigrid correction scheme for a new Steklov eigenvalue problem in inverse scattering","display_name":"A multigrid correction scheme for a new Steklov eigenvalue problem in inverse scattering","publication_year":2019,"publication_date":"2019-05-22","ids":{"openalex":"https://openalex.org/W2964163615","doi":"https://doi.org/10.1080/00207160.2019.1622686","mag":"2964163615"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1622686","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1622686","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5105123591","display_name":"Yu Zhang","orcid":"https://orcid.org/0000-0002-0943-6965"},"institutions":[{"id":"https://openalex.org/I154893126","display_name":"Guizhou Normal University","ror":"https://ror.org/02x1pa065","country_code":"CN","type":"education","lineage":["https://openalex.org/I154893126"]},{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Guizhou Normal University, Guiyang, People's Republic of China","School of Mathematics & Statistics, Guizhou University of Finance and Economics, Guiyang, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Guizhou Normal University, Guiyang, People's Republic of China","institution_ids":["https://openalex.org/I154893126"]},{"raw_affiliation_string":"School of Mathematics & Statistics, Guizhou University of Finance and Economics, Guiyang, People's Republic of China","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102989963","display_name":"Hai Bi","orcid":"https://orcid.org/0000-0003-1643-325X"},"institutions":[{"id":"https://openalex.org/I154893126","display_name":"Guizhou Normal University","ror":"https://ror.org/02x1pa065","country_code":"CN","type":"education","lineage":["https://openalex.org/I154893126"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hai Bi","raw_affiliation_strings":["School of Mathematical Sciences, Guizhou Normal University, Guiyang, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Guizhou Normal University, Guiyang, People's Republic of China","institution_ids":["https://openalex.org/I154893126"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004845842","display_name":"Yidu Yang","orcid":"https://orcid.org/0000-0002-2043-8515"},"institutions":[{"id":"https://openalex.org/I154893126","display_name":"Guizhou Normal University","ror":"https://ror.org/02x1pa065","country_code":"CN","type":"education","lineage":["https://openalex.org/I154893126"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yidu Yang","raw_affiliation_strings":["School of Mathematical Sciences, Guizhou Normal University, Guiyang, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Guizhou Normal University, Guiyang, People's Republic of China","institution_ids":["https://openalex.org/I154893126"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004845842"],"corresponding_institution_ids":["https://openalex.org/I154893126"],"apc_list":null,"apc_paid":null,"fwci":1.3823,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.76774386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"97","issue":"7","first_page":"1412","last_page":"1430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8302873969078064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8039814233779907},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.7568759918212891},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.7018318176269531},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6604134440422058},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.6360487341880798},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5638278126716614},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5328643321990967},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4988253116607666},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.44002532958984375},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4371863007545471},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.4255560636520386},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.41284430027008057},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.3834739923477173},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2605237364768982},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20294269919395447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07655459642410278}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8302873969078064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8039814233779907},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.7568759918212891},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.7018318176269531},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6604134440422058},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.6360487341880798},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5638278126716614},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5328643321990967},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4988253116607666},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44002532958984375},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4371863007545471},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.4255560636520386},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.41284430027008057},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3834739923477173},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2605237364768982},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20294269919395447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07655459642410278},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2019.1622686","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1622686","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1602228621","display_name":null,"funder_award_id":"KY [2018]153","funder_id":"https://openalex.org/F4320326674","funder_display_name":"Department of Education of Guizhou Province"},{"id":"https://openalex.org/G6731061301","display_name":"\u56db\u9636\u5fae\u5206\u7b97\u5b50\u7279\u5f81\u503c\u95ee\u9898\u7684\u6709\u9650\u5143\u5c40\u90e8\u4e0e\u5e76\u884c\u7b97\u6cd5\u7814\u7a76","funder_award_id":"11761022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326674","display_name":"Department of Education of Guizhou Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W112046743","https://openalex.org/W383648814","https://openalex.org/W1492326914","https://openalex.org/W1520832000","https://openalex.org/W1528027204","https://openalex.org/W1542736314","https://openalex.org/W1599157315","https://openalex.org/W1980783624","https://openalex.org/W1990149707","https://openalex.org/W1991232552","https://openalex.org/W2004984506","https://openalex.org/W2012818017","https://openalex.org/W2021689929","https://openalex.org/W2027009705","https://openalex.org/W2034521025","https://openalex.org/W2041568728","https://openalex.org/W2058712788","https://openalex.org/W2070866352","https://openalex.org/W2078061779","https://openalex.org/W2080599917","https://openalex.org/W2085051542","https://openalex.org/W2100950337","https://openalex.org/W2139865212","https://openalex.org/W2148982133","https://openalex.org/W2157129549","https://openalex.org/W2172969761","https://openalex.org/W2234487617","https://openalex.org/W2500331132","https://openalex.org/W2509089377","https://openalex.org/W2562886742","https://openalex.org/W2613533603","https://openalex.org/W2963644769","https://openalex.org/W2963711040"],"related_works":["https://openalex.org/W4298743592","https://openalex.org/W4376142133","https://openalex.org/W2767914060","https://openalex.org/W3011136842","https://openalex.org/W3205368572","https://openalex.org/W2134586925","https://openalex.org/W2920217887","https://openalex.org/W2171904413","https://openalex.org/W2807836094","https://openalex.org/W151283020"],"abstract_inverted_index":{"We":[0,73],"propose":[1],"a":[2,8,24,33,45],"multigrid":[3],"correction":[4],"scheme":[5,90],"to":[6,31,67],"solve":[7,32],"new":[9],"Steklov":[10],"eigenvalue":[11,21,48,97],"problem":[12,22],"in":[13,23,39,50,84,94],"inverse":[14],"scattering.":[15],"With":[16],"this":[17],"scheme,":[18],"solving":[19,95],"an":[20],"fine":[25,40],"finite":[26,41,53],"element":[27,42,54],"space":[28],"is":[29,91],"reduced":[30],"series":[34,46],"of":[35,47,77],"boundary":[36],"value":[37],"problems":[38,49],"spaces":[43],"and":[44,70,79,87],"the":[51,57,96],"coarsest":[52],"space.":[55],"And":[56],"coefficient":[58],"matrices":[59],"associated":[60],"with":[61],"those":[62],"linear":[63],"systems":[64],"are":[65],"constructed":[66],"be":[68],"symmetric":[69],"positive":[71],"definite.":[72],"prove":[74],"error":[75],"estimates":[76],"eigenvalues":[78],"eigenfunctions.":[80],"Numerical":[81],"results":[82],"coincide":[83],"theoretical":[85],"analysis":[86],"indicate":[88],"our":[89],"highly":[92],"efficient":[93],"problem.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
