{"id":"https://openalex.org/W2019763392","doi":"https://doi.org/10.1016/s0378-4754(02)00094-0","title":"On two-scale convergence","display_name":"On two-scale convergence","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2019763392","doi":"https://doi.org/10.1016/s0378-4754(02)00094-0","mag":"2019763392"},"language":"en","primary_location":{"id":"doi:10.1016/s0378-4754(02)00094-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0378-4754(02)00094-0","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"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":"Mathematics and Computers in Simulation","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/A5054200619","display_name":"Lud\u011bk Nechv\u00e1tal","orcid":"https://orcid.org/0000-0003-0775-3438"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Lud\u011bk Nechv\u00e1tal","raw_affiliation_strings":["Department of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technick\u00e1 2, 616 69 Brno, Czech Republic","Department of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technick\u00e1 2, 616 69 Brno, Czech Republic#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technick\u00e1 2, 616 69 Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technick\u00e1 2, 616 69 Brno, Czech Republic#TAB#","institution_ids":["https://openalex.org/I60587646"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054200619"],"corresponding_institution_ids":["https://openalex.org/I60587646"],"apc_list":{"value":1740,"currency":"USD","value_usd":1740},"apc_paid":null,"fwci":0.3637,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60342619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"61","issue":"3-6","first_page":"489","last_page":"495"},"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/T11558","display_name":"Composite Material Mechanics","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/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/homogenization","display_name":"Homogenization (climate)","score":0.7266249060630798},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6660319566726685},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6364519596099854},{"id":"https://openalex.org/keywords/normal-convergence","display_name":"Normal convergence","score":0.6338828802108765},{"id":"https://openalex.org/keywords/compact-convergence","display_name":"Compact convergence","score":0.5530282258987427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5397710204124451},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5157139897346497},{"id":"https://openalex.org/keywords/convergence-tests","display_name":"Convergence tests","score":0.4932391047477722},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48054081201553345},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4652598202228546},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.45522603392601013},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35272592306137085},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3284013271331787},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.2135717272758484},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20045509934425354},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13084405660629272}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.7266249060630798},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6660319566726685},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6364519596099854},{"id":"https://openalex.org/C14928880","wikidata":"https://www.wikidata.org/wiki/Q1512559","display_name":"Normal convergence","level":4,"score":0.6338828802108765},{"id":"https://openalex.org/C5871375","wikidata":"https://www.wikidata.org/wiki/Q1780715","display_name":"Compact convergence","level":4,"score":0.5530282258987427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5397710204124451},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5157139897346497},{"id":"https://openalex.org/C538505008","wikidata":"https://www.wikidata.org/wiki/Q3979448","display_name":"Convergence tests","level":4,"score":0.4932391047477722},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48054081201553345},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4652598202228546},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.45522603392601013},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35272592306137085},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3284013271331787},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2135717272758484},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20045509934425354},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13084405660629272},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0378-4754(02)00094-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0378-4754(02)00094-0","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"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":"Mathematics and Computers in Simulation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:matcom:v:61:y:2003:i:3:p:489-495","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0378475402000940","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4699999988079071,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1563013019","https://openalex.org/W1676467742","https://openalex.org/W1972892940","https://openalex.org/W1975004578","https://openalex.org/W1978693661","https://openalex.org/W2027239222","https://openalex.org/W2050781624","https://openalex.org/W2060086165","https://openalex.org/W2070785542","https://openalex.org/W2085764262","https://openalex.org/W2087095020","https://openalex.org/W2116801612","https://openalex.org/W2119671227","https://openalex.org/W2121901699","https://openalex.org/W4235868234","https://openalex.org/W4242063424","https://openalex.org/W6601439677"],"related_works":["https://openalex.org/W2034145661","https://openalex.org/W2028595206","https://openalex.org/W2099365622","https://openalex.org/W2951265198","https://openalex.org/W2482464444","https://openalex.org/W2060809327","https://openalex.org/W2180233726","https://openalex.org/W2042111348","https://openalex.org/W4253827225","https://openalex.org/W2081461665"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}