{"id":"https://openalex.org/W2075005064","doi":"https://doi.org/10.1016/s0096-3003(02)00419-8","title":"Analysis of peaks and plateaus in a Galerkin/minimal residual pair of methods for solving Ax=b","display_name":"Analysis of peaks and plateaus in a Galerkin/minimal residual pair of methods for solving Ax=b","publication_year":2003,"publication_date":"2003-04-07","ids":{"openalex":"https://openalex.org/W2075005064","doi":"https://doi.org/10.1016/s0096-3003(02)00419-8","mag":"2075005064"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(02)00419-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00419-8","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5100924446","display_name":"Yuming Shen","orcid":null},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuming Shen","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Nanjing 210093, PR China","State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, PR China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing 210093, PR China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, PR China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102923053","display_name":"Jinxi Zhao","orcid":"https://orcid.org/0009-0009-7662-7137"},"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"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinxi Zhao","raw_affiliation_strings":["State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, PR China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, PR China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102923053"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1684443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"144","issue":"2-3","first_page":"441","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983000159263611,"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/residual","display_name":"Residual","score":0.6723440885543823},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6563814878463745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6516233682632446},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6189441680908203},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5582261085510254},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5252870321273804},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.4900032579898834},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.48525238037109375},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43352192640304565},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35908493399620056},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26974207162857056},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.24741944670677185},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14729037880897522},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06390422582626343}],"concepts":[{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6723440885543823},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6563814878463745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6516233682632446},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6189441680908203},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5582261085510254},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5252870321273804},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4900032579898834},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.48525238037109375},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43352192640304565},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35908493399620056},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26974207162857056},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.24741944670677185},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14729037880897522},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06390422582626343},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(02)00419-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00419-8","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1492771151","https://openalex.org/W1571187512","https://openalex.org/W1586935952","https://openalex.org/W1964281402","https://openalex.org/W1984543816","https://openalex.org/W2018850201","https://openalex.org/W2060003085","https://openalex.org/W2060375549","https://openalex.org/W2085259167","https://openalex.org/W2117366131","https://openalex.org/W2139940635","https://openalex.org/W2140153041","https://openalex.org/W4240959780","https://openalex.org/W6634162029"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2120874885","https://openalex.org/W2560215812","https://openalex.org/W2949601986","https://openalex.org/W1965109456","https://openalex.org/W2788972299","https://openalex.org/W2521347458","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
