{"id":"https://openalex.org/W1998330884","doi":"https://doi.org/10.1007/s10444-006-9020-5","title":"Irrational approximations and their applications to partial differential equations in exterior domains,","display_name":"Irrational approximations and their applications to partial differential equations in exterior domains,","publication_year":2006,"publication_date":"2006-12-05","ids":{"openalex":"https://openalex.org/W1998330884","doi":"https://doi.org/10.1007/s10444-006-9020-5","mag":"1998330884"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-006-9020-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-006-9020-5","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/A5112630309","display_name":"Ben\u2010yu Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ben-yu Guo","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University and Shanghai E-Institute for Computational Science, 200234, Shanghai, China","Shanghai Normal University and Shanghai E-Institute for Computational Science"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University and Shanghai E-Institute for Computational Science, 200234, Shanghai, China","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Shanghai Normal University and Shanghai E-Institute for Computational Science","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028981574","display_name":"Jie Shen","orcid":"https://orcid.org/0000-0002-4885-5732"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jie Shen","raw_affiliation_strings":["Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA","Purdue University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Purdue University","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112630309"],"corresponding_institution_ids":["https://openalex.org/I21945476"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.2385,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89834551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":"3","first_page":"237","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9937999844551086,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9937999844551086,"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":0.9922999739646912,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8149207234382629},{"id":"https://openalex.org/keywords/irrational-number","display_name":"Irrational number","score":0.6888401508331299},{"id":"https://openalex.org/keywords/orthographic-projection","display_name":"Orthographic projection","score":0.6016916036605835},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.5784932971000671},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5498046875},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5187511444091797},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4835474193096161},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.4780234098434448},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4469625949859619},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4273953139781952},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42056891322135925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12396079301834106},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11454653739929199},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.09319472312927246}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8149207234382629},{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.6888401508331299},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.6016916036605835},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5784932971000671},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5498046875},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5187511444091797},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4835474193096161},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.4780234098434448},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4469625949859619},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4273953139781952},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42056891322135925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12396079301834106},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11454653739929199},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.09319472312927246},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-006-9020-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-006-9020-5","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W579985084","https://openalex.org/W1506933769","https://openalex.org/W1537887709","https://openalex.org/W1576246867","https://openalex.org/W1599524282","https://openalex.org/W1680579736","https://openalex.org/W1805381866","https://openalex.org/W1912930600","https://openalex.org/W1975666830","https://openalex.org/W1983731610","https://openalex.org/W2001377050","https://openalex.org/W2007254031","https://openalex.org/W2013282326","https://openalex.org/W2028522134","https://openalex.org/W2033942740","https://openalex.org/W2045737730","https://openalex.org/W2047035089","https://openalex.org/W2050924962","https://openalex.org/W2065378774","https://openalex.org/W2065522541","https://openalex.org/W2068246286","https://openalex.org/W2068305880","https://openalex.org/W2072653497","https://openalex.org/W2078959912","https://openalex.org/W2082849992","https://openalex.org/W2084980626","https://openalex.org/W2133964250","https://openalex.org/W2572075230","https://openalex.org/W3021821037","https://openalex.org/W3146700961","https://openalex.org/W6811789344"],"related_works":["https://openalex.org/W3088646517","https://openalex.org/W2973552040","https://openalex.org/W2185277279","https://openalex.org/W4220768180","https://openalex.org/W2377639682","https://openalex.org/W2792087242","https://openalex.org/W2387799803","https://openalex.org/W3100817393","https://openalex.org/W3120892761","https://openalex.org/W2797611542"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}