{"id":"https://openalex.org/W3082659120","doi":"https://doi.org/10.1007/s40314-020-01303-7","title":"A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations","display_name":"A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations","publication_year":2020,"publication_date":"2020-08-27","ids":{"openalex":"https://openalex.org/W3082659120","doi":"https://doi.org/10.1007/s40314-020-01303-7","mag":"3082659120"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01303-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01303-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied 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/A5100414176","display_name":"Ying Liang","orcid":"https://orcid.org/0000-0002-2594-3318"},"institutions":[{"id":"https://openalex.org/I4210151929","display_name":"Nanning Normal University","ror":"https://ror.org/04dx82x73","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210151929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Liang","raw_affiliation_strings":["School of Mathematics and Statistics, Nanning Normal University, Nanning, 530029, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Nanning Normal University, Nanning, 530029, China","institution_ids":["https://openalex.org/I4210151929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102852831","display_name":"Li\u2010Bin Liu","orcid":"https://orcid.org/0000-0002-7355-5491"},"institutions":[{"id":"https://openalex.org/I4210151929","display_name":"Nanning Normal University","ror":"https://ror.org/04dx82x73","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210151929"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li-Bin Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Nanning Normal University, Nanning, 530029, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Nanning Normal University, Nanning, 530029, China","institution_ids":["https://openalex.org/I4210151929"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003721958","display_name":"Zhongdi Cen","orcid":"https://orcid.org/0000-0001-9739-2036"},"institutions":[{"id":"https://openalex.org/I1315279114","display_name":"Zhejiang Wanli University","ror":"https://ror.org/00rjdhd62","country_code":"CN","type":"education","lineage":["https://openalex.org/I1315279114"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongdi Cen","raw_affiliation_strings":["Institute of Mathematics, Zhejiang Wanli University, Ningbo, 315100, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Zhejiang Wanli University, Ningbo, 315100, China","institution_ids":["https://openalex.org/I1315279114"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102852831"],"corresponding_institution_ids":["https://openalex.org/I4210151929"],"apc_list":null,"apc_paid":null,"fwci":1.1592,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77182163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"39","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"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/T11416","display_name":"Numerical methods for differential equations","score":0.958899974822998,"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":0.9375,"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/mathematics","display_name":"Mathematics","score":0.8422318696975708},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6638129949569702},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.6385058164596558},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5342226624488831},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.49345389008522034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47571712732315063},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.47570547461509705},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4352867603302002},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.411246657371521},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39245736598968506}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8422318696975708},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6638129949569702},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.6385058164596558},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5342226624488831},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.49345389008522034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47571712732315063},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.47570547461509705},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4352867603302002},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.411246657371521},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39245736598968506},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-01303-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01303-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3747971445","display_name":"\u51e0\u7c7b\u5947\u5f02\u6444\u52a8\u95ee\u9898\u7684\u81ea\u9002\u5e94\u79fb\u52a8\u7f51\u683c\u65b9\u6cd5\u53ca\u5e94\u7528\u7814\u7a76","funder_award_id":"11761015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W429124266","https://openalex.org/W1476132770","https://openalex.org/W1567668233","https://openalex.org/W1967786809","https://openalex.org/W1973656183","https://openalex.org/W2003024138","https://openalex.org/W2019368714","https://openalex.org/W2025443088","https://openalex.org/W2028350402","https://openalex.org/W2030209714","https://openalex.org/W2040599320","https://openalex.org/W2050511353","https://openalex.org/W2050739624","https://openalex.org/W2074057704","https://openalex.org/W2087297463","https://openalex.org/W2519419103","https://openalex.org/W2778282159","https://openalex.org/W2912212541","https://openalex.org/W2917303770","https://openalex.org/W2920571323","https://openalex.org/W2924092691","https://openalex.org/W2938888488","https://openalex.org/W2944225007","https://openalex.org/W3035235874","https://openalex.org/W4230015191"],"related_works":["https://openalex.org/W2064416388","https://openalex.org/W2020718081","https://openalex.org/W2181725090","https://openalex.org/W4213415911","https://openalex.org/W2071632315","https://openalex.org/W2028306039","https://openalex.org/W2085754006","https://openalex.org/W2262483978","https://openalex.org/W2126354370","https://openalex.org/W2066872858"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}
