{"id":"https://openalex.org/W4411351018","doi":"https://doi.org/10.1515/cmam-2025-0017","title":"Guaranteed Upper Bounds for Iteration Errors and Modified Ka\u010danov Schemes via Discrete Duality","display_name":"Guaranteed Upper Bounds for Iteration Errors and Modified Ka\u010danov Schemes via Discrete Duality","publication_year":2025,"publication_date":"2025-06-16","ids":{"openalex":"https://openalex.org/W4411351018","doi":"https://doi.org/10.1515/cmam-2025-0017"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2025-0017","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2025-0017","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in 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/A5010484841","display_name":"Lars Diening","orcid":"https://orcid.org/0000-0002-0523-3079"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lars Diening","raw_affiliation_strings":["Department of Mathematics , 9167 Bielefeld University , Postfach 10 01 31, 33501 Bielefeld , Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , 9167 Bielefeld University , Postfach 10 01 31, 33501 Bielefeld , Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089019825","display_name":"Johannes Storn","orcid":"https://orcid.org/0000-0003-1520-6557"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Storn","raw_affiliation_strings":["Faculty of Mathematics & Computer Science , Institute of Mathematics , 9180 Leipzig University , Augustusplatz 10, 04109 Leipzig , Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics & Computer Science , Institute of Mathematics , 9180 Leipzig University , Augustusplatz 10, 04109 Leipzig , Germany","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010484841"],"corresponding_institution_ids":["https://openalex.org/I20121455"],"apc_list":null,"apc_paid":null,"fwci":1.4093,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79358701,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"25","issue":"3","first_page":"587","last_page":"600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9984999895095825,"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":0.7090989947319031},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6259781122207642},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42534133791923523},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23035845160484314}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7090989947319031},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6259781122207642},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42534133791923523},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23035845160484314}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2025-0017","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2025-0017","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5199152529","display_name":null,"funder_award_id":"SFB 1283/2 2021 \u2013 317210226","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W408406386","https://openalex.org/W1547403762","https://openalex.org/W1963490038","https://openalex.org/W1980377066","https://openalex.org/W1987384922","https://openalex.org/W2000136589","https://openalex.org/W2007289139","https://openalex.org/W2022424539","https://openalex.org/W2023040159","https://openalex.org/W2039412304","https://openalex.org/W2069662511","https://openalex.org/W2069697314","https://openalex.org/W2071552456","https://openalex.org/W2084277536","https://openalex.org/W2089773056","https://openalex.org/W2092037996","https://openalex.org/W2101494568","https://openalex.org/W2104800030","https://openalex.org/W2167521757","https://openalex.org/W2550585661","https://openalex.org/W2799576342","https://openalex.org/W2963279928","https://openalex.org/W2996909697","https://openalex.org/W3008450939","https://openalex.org/W3008959611","https://openalex.org/W3012458722","https://openalex.org/W3022640995","https://openalex.org/W3109170755","https://openalex.org/W3117585672","https://openalex.org/W3128885210","https://openalex.org/W3158123692","https://openalex.org/W3199486408","https://openalex.org/W4313495422","https://openalex.org/W4367173489","https://openalex.org/W4378767202","https://openalex.org/W4388758821"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"apply":[2],"duality":[3,34],"theory":[4],"to":[5,10,43],"discretized":[6],"convex":[7],"minimization":[8],"problems":[9],"obtain":[11],"computable":[12],"guaranteed":[13],"upper":[14],"bounds":[15],"for":[16,39],"the":[17,24,32,40],"distance":[18],"of":[19,47],"given":[20],"discrete":[21,26,33],"functions":[22],"and":[23],"exact":[25],"minimizer.":[27],"Furthermore,":[28],"we":[29],"show":[30],"that":[31],"framework":[35],"extends":[36],"convergence":[37],"results":[38],"Ka\u010danov":[41],"scheme":[42],"a":[44],"broader":[45],"class":[46],"problems.":[48]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}