{"id":"https://openalex.org/W7140212821","doi":"https://doi.org/10.1007/s10915-026-03252-5","title":"Error Analysis of Legendre Spectral Methods for the Monge-Amp\u00e8re Equation on Convex Quadrilaterals and Hexahedra","display_name":"Error Analysis of Legendre Spectral Methods for the Monge-Amp\u00e8re Equation on Convex Quadrilaterals and Hexahedra","publication_year":2026,"publication_date":"2026-03-24","ids":{"openalex":"https://openalex.org/W7140212821","doi":"https://doi.org/10.1007/s10915-026-03252-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-026-03252-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-026-03252-5","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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":null,"display_name":"Lixiang Jin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lixiang Jin","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhaoxiang Li","orcid":"https://orcid.org/0000-0003-3843-2143"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhaoxiang Li","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-3843-2143","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People\u2019s Republic of China","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Li-Lian Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li-Lian Wang","raw_affiliation_strings":["Division of Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.7053637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"107","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.10170000046491623,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.10170000046491623,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.09839999675750732,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.07039999961853027,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.7993000149726868},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.7328000068664551},{"id":"https://openalex.org/keywords/hexahedron","display_name":"Hexahedron","score":0.541700005531311},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.4781999886035919},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.47099998593330383},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.45100000500679016},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.44699999690055847},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.412200003862381},{"id":"https://openalex.org/keywords/spectral-element-method","display_name":"Spectral element method","score":0.3610000014305115}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8291000127792358},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.7993000149726868},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.7328000068664551},{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.541700005531311},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5218999981880188},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5001999735832214},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.4781999886035919},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.47099998593330383},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.45100000500679016},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.44699999690055847},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.412200003862381},{"id":"https://openalex.org/C38961997","wikidata":"https://www.wikidata.org/wiki/Q7575186","display_name":"Spectral element method","level":4,"score":0.3610000014305115},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.35850000381469727},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.35260000824928284},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3481000065803528},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.3465000092983246},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.33000001311302185},{"id":"https://openalex.org/C36956377","wikidata":"https://www.wikidata.org/wiki/Q228376","display_name":"Associated Legendre polynomials","level":5,"score":0.3025999963283539},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3019999861717224},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29829999804496765},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C159674985","wikidata":"https://www.wikidata.org/wiki/Q6823718","display_name":"Method of mean weighted residuals","level":4,"score":0.28700000047683716},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2842000126838684},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2824999988079071},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.28060001134872437},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.2711000144481659}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-026-03252-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-026-03252-5","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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":51,"referenced_works":["https://openalex.org/W1697463934","https://openalex.org/W1866311589","https://openalex.org/W1973365645","https://openalex.org/W1985843599","https://openalex.org/W2011600769","https://openalex.org/W2019270511","https://openalex.org/W2022963516","https://openalex.org/W2036759661","https://openalex.org/W2041129188","https://openalex.org/W2054829223","https://openalex.org/W2055752660","https://openalex.org/W2055803598","https://openalex.org/W2076694827","https://openalex.org/W2084358734","https://openalex.org/W2084540358","https://openalex.org/W2084587134","https://openalex.org/W2085531723","https://openalex.org/W2101823897","https://openalex.org/W2130655033","https://openalex.org/W2133276356","https://openalex.org/W2145754040","https://openalex.org/W2155759143","https://openalex.org/W2330394843","https://openalex.org/W2560732292","https://openalex.org/W2706330395","https://openalex.org/W2791393583","https://openalex.org/W2893817145","https://openalex.org/W2907463824","https://openalex.org/W2963008181","https://openalex.org/W2964177917","https://openalex.org/W2990035746","https://openalex.org/W3016673781","https://openalex.org/W3026183760","https://openalex.org/W3113350887","https://openalex.org/W3132689201","https://openalex.org/W3173653227","https://openalex.org/W4211228115","https://openalex.org/W4245921625","https://openalex.org/W4247375400","https://openalex.org/W4253937035","https://openalex.org/W4319312465","https://openalex.org/W4362666809","https://openalex.org/W4376137564","https://openalex.org/W4376873399","https://openalex.org/W4389443212","https://openalex.org/W4401083535","https://openalex.org/W4401553680","https://openalex.org/W4403097504","https://openalex.org/W4403231462","https://openalex.org/W4403269023","https://openalex.org/W4406096480"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-25T13:09:30.665167","created_date":"2026-03-25T00:00:00"}
