{"id":"https://openalex.org/W4385644923","doi":"https://doi.org/10.1007/s11075-023-01620-y","title":"A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations","display_name":"A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations","publication_year":2023,"publication_date":"2023-08-05","ids":{"openalex":"https://openalex.org/W4385644923","doi":"https://doi.org/10.1007/s11075-023-01620-y"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-023-01620-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-023-01620-y","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5020807267","display_name":"Sunil Kumar","orcid":"https://orcid.org/0000-0001-9991-1012"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sunil Kumar","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, Uttar Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, Uttar Pradesh, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045635272","display_name":"Shashikant Kumar","orcid":"https://orcid.org/0000-0003-3380-4323"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Shashikant Kumar","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, Uttar Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, Uttar Pradesh, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":null,"display_name":"Sumit","orcid":null},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sumit","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, Uttar Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, Uttar Pradesh, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020807267","https://openalex.org/A5045635272"],"corresponding_institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.4074,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87130696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"95","issue":"4","first_page":"1561","last_page":"1582"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9531999826431274,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9280999898910522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8817055225372314},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7104694247245789},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6934562921524048},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6699968576431274},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5038387179374695},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5031840205192566},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.49286365509033203},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.48493698239326477},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4460768699645996},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41870224475860596},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36504432559013367},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1275416910648346}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8817055225372314},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7104694247245789},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6934562921524048},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6699968576431274},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5038387179374695},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5031840205192566},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.49286365509033203},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.48493698239326477},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4460768699645996},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41870224475860596},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36504432559013367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1275416910648346},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-023-01620-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-023-01620-y","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":29,"referenced_works":["https://openalex.org/W603226872","https://openalex.org/W1964747200","https://openalex.org/W1967786809","https://openalex.org/W1975007709","https://openalex.org/W1996536528","https://openalex.org/W2007208452","https://openalex.org/W2042831535","https://openalex.org/W2060486240","https://openalex.org/W2063758152","https://openalex.org/W2069595440","https://openalex.org/W2086852852","https://openalex.org/W2118572547","https://openalex.org/W2159762721","https://openalex.org/W2328071665","https://openalex.org/W2460998628","https://openalex.org/W2562291654","https://openalex.org/W2789879078","https://openalex.org/W2801017232","https://openalex.org/W2917303770","https://openalex.org/W2944225007","https://openalex.org/W2989851536","https://openalex.org/W3015086699","https://openalex.org/W3085643674","https://openalex.org/W3118266091","https://openalex.org/W3166499094","https://openalex.org/W4241946322","https://openalex.org/W4251517737","https://openalex.org/W4252247111","https://openalex.org/W4300258274"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W2015114013","https://openalex.org/W2362625355","https://openalex.org/W4388482258","https://openalex.org/W2039023896","https://openalex.org/W2154812892","https://openalex.org/W2028790718"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
