{"id":"https://openalex.org/W2079192050","doi":"https://doi.org/10.1007/s10444-004-4092-6","title":"Multilevel augmentation methods for differential equations","display_name":"Multilevel augmentation methods for differential equations","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2079192050","doi":"https://doi.org/10.1007/s10444-004-4092-6","mag":"2079192050"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-004-4092-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-004-4092-6","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/A5064005392","display_name":"Zhongying Chen","orcid":"https://orcid.org/0000-0001-7844-0207"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhongying Chen","raw_affiliation_strings":["Department of Scientific Computing and Computer Applications, Zhongshan University, Guangzhou, 510275, P. R. China","Department of Scientific Computing and Computer Applications, Zhongshan University, Guangzhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing and Computer Applications, Zhongshan University, Guangzhou, 510275, P. R. China","institution_ids":[]},{"raw_affiliation_string":"Department of Scientific Computing and Computer Applications, Zhongshan University, Guangzhou, P. R. China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101892788","display_name":"Bin Wu","orcid":"https://orcid.org/0000-0002-8677-2321"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bin Wu","raw_affiliation_strings":["Department of Scientific Computing and Computer Applications, Zhongshan University, Guangzhou, 510275, P. R. China","Department of Scientific Computing and Computer Applications, Zhongshan University, Guangzhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing and Computer Applications, Zhongshan University, Guangzhou, 510275, P. R. China","institution_ids":[]},{"raw_affiliation_string":"Department of Scientific Computing and Computer Applications, Zhongshan University, Guangzhou, P. R. China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026572582","display_name":"Yuesheng Xu","orcid":"https://orcid.org/0000-0003-3965-3087"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Yuesheng Xu","raw_affiliation_strings":["Department of Mathematics, Syracuse University, Syracuse, New York 13244-1150, USA and Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, P. R. China","Department of Mathematics, Syracuse University, Syracuse, New York 13244-1150, USA and Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Syracuse University, Syracuse, New York 13244-1150, USA and Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, P. R. China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I70983195","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Department of Mathematics, Syracuse University, Syracuse, New York 13244-1150, USA and Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, P. R. China","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064005392"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0141,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.77059586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"24","issue":"1-4","first_page":"213","last_page":"238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/orthonormal-basis","display_name":"Orthonormal basis","score":0.6887115240097046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6811102032661438},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5979726910591125},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5807226896286011},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4995541572570801},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46529802680015564},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.4259953498840332},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.4253770112991333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38888227939605713}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.6887115240097046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6811102032661438},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5979726910591125},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5807226896286011},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4995541572570801},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46529802680015564},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.4259953498840332},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.4253770112991333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38888227939605713},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-004-4092-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-004-4092-6","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":10,"referenced_works":["https://openalex.org/W1485003658","https://openalex.org/W1598325079","https://openalex.org/W1971372708","https://openalex.org/W2017085690","https://openalex.org/W2047028207","https://openalex.org/W2083389933","https://openalex.org/W2089751960","https://openalex.org/W2115566547","https://openalex.org/W2159872708","https://openalex.org/W3021528686"],"related_works":["https://openalex.org/W203395323","https://openalex.org/W2088774144","https://openalex.org/W2088813425","https://openalex.org/W2387415109","https://openalex.org/W2797141894","https://openalex.org/W2057820426","https://openalex.org/W2374507768","https://openalex.org/W2383780205","https://openalex.org/W4210327724","https://openalex.org/W2008037663"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
