{"id":"https://openalex.org/W4417420529","doi":"https://doi.org/10.1137/24m1707274","title":"High-Order Integration on Regular Triangulated Manifolds Reaches Superalgebraic Approximation Rates Through Cubical Reparametrizations","display_name":"High-Order Integration on Regular Triangulated Manifolds Reaches Superalgebraic Approximation Rates Through Cubical Reparametrizations","publication_year":2025,"publication_date":"2025-12-17","ids":{"openalex":"https://openalex.org/W4417420529","doi":"https://doi.org/10.1137/24m1707274"},"language":"en","primary_location":{"id":"doi:10.1137/24m1707274","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1707274","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5058904134","display_name":"Gentian Zavalani","orcid":"https://orcid.org/0000-0002-5611-4870"},"institutions":[{"id":"https://openalex.org/I4210133756","display_name":"Center for Advanced Systems Understanding","ror":"https://ror.org/042b69396","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2801798921","https://openalex.org/I4210133756"]},{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gentian Zavalani","raw_affiliation_strings":["Center for Advanced Systems Understanding (CASUS), D-02826 G\u00f6rlitz, Germany","Faculty of Mathematics, Technische Universit\u00e4t Dresden, 01069 Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Advanced Systems Understanding (CASUS), D-02826 G\u00f6rlitz, Germany","institution_ids":["https://openalex.org/I4210133756"]},{"raw_affiliation_string":"Faculty of Mathematics, Technische Universit\u00e4t Dresden, 01069 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082524584","display_name":"Oliver Sander","orcid":"https://orcid.org/0000-0003-1093-6374"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Oliver Sander","raw_affiliation_strings":["Faculty of Mathematics, Technische Universit\u00e4t Dresden, 01069 Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1093-6374","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Technische Universit\u00e4t Dresden, 01069 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067828565","display_name":"Michael Hecht","orcid":"https://orcid.org/0000-0001-9214-8253"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Michael Hecht","raw_affiliation_strings":["Mathematical Institute, University of Wroc\u0142aw, 50-384 Wroc\u0142aw, Poland"],"raw_orcid":"https://orcid.org/0000-0001-9214-8253","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Wroc\u0142aw, 50-384 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058904134"],"corresponding_institution_ids":["https://openalex.org/I4210133756","https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":1.1805,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.84832821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"63","issue":"6","first_page":"2454","last_page":"2482"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.06319999694824219,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.06319999694824219,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.05779999867081642,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.04410000145435333,"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/triangulation","display_name":"Triangulation","score":0.3375000059604645},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.335999995470047},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.2897000014781952},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.27399998903274536},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.2694999873638153}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7610999941825867},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40450000762939453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3806000053882599},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36640000343322754},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3456999957561493},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.3375000059604645},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.335999995470047},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.27399998903274536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2718000113964081},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2615000009536743},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1707274","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1707274","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W176474530","https://openalex.org/W321261355","https://openalex.org/W1562971193","https://openalex.org/W1964757393","https://openalex.org/W1969359827","https://openalex.org/W1992443231","https://openalex.org/W1999087103","https://openalex.org/W2005606401","https://openalex.org/W2005688294","https://openalex.org/W2011020653","https://openalex.org/W2021036023","https://openalex.org/W2028468639","https://openalex.org/W2030435498","https://openalex.org/W2038064355","https://openalex.org/W2041640855","https://openalex.org/W2043377185","https://openalex.org/W2048838384","https://openalex.org/W2049227938","https://openalex.org/W2049548546","https://openalex.org/W2062728702","https://openalex.org/W2063974361","https://openalex.org/W2066578794","https://openalex.org/W2081933490","https://openalex.org/W2091183786","https://openalex.org/W2096986898","https://openalex.org/W2101121254","https://openalex.org/W2111524489","https://openalex.org/W2122765466","https://openalex.org/W2127570421","https://openalex.org/W2144607765","https://openalex.org/W2151881956","https://openalex.org/W2157670588","https://openalex.org/W2171692351","https://openalex.org/W2474320135","https://openalex.org/W2502949873","https://openalex.org/W2527915679","https://openalex.org/W2528968066","https://openalex.org/W2543191501","https://openalex.org/W2548379481","https://openalex.org/W2578554495","https://openalex.org/W2581598540","https://openalex.org/W2597331459","https://openalex.org/W2735661549","https://openalex.org/W2743636838","https://openalex.org/W2903896324","https://openalex.org/W2962779920","https://openalex.org/W2963308814","https://openalex.org/W2964132515","https://openalex.org/W2989660359","https://openalex.org/W3080914972","https://openalex.org/W3109089832","https://openalex.org/W3125531494","https://openalex.org/W4205634890","https://openalex.org/W4241737403","https://openalex.org/W4385494071","https://openalex.org/W4391917873","https://openalex.org/W4401552004"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-12-17T22:16:58.442928","created_date":"2025-12-17T00:00:00"}
