{"id":"https://openalex.org/W1972152164","doi":"https://doi.org/10.1007/s11075-015-9977-6","title":"Quadrature algorithms for high dimensional singular integrands on simplices","display_name":"Quadrature algorithms for high dimensional singular integrands on simplices","publication_year":2015,"publication_date":"2015-02-16","ids":{"openalex":"https://openalex.org/W1972152164","doi":"https://doi.org/10.1007/s11075-015-9977-6","mag":"1972152164"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-015-9977-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-9977-6","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/A5062089780","display_name":"Alexey Chernov","orcid":"https://orcid.org/0000-0002-5527-803X"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]},{"id":"https://openalex.org/I71052956","display_name":"University of Reading","ror":"https://ror.org/05v62cm79","country_code":"GB","type":"education","lineage":["https://openalex.org/I71052956"]}],"countries":["DE","GB"],"is_corresponding":true,"raw_author_name":"Alexey Chernov","raw_affiliation_strings":["Hausdorff Center for Mathematics and Institute for Numerical Simulation, University of Bonn, 53115, Bonn, Germany","Hausdorff Center for Mathematics and Institute for Numerical Simulation, University of Bonn, Bonn, Germany 53115 and Department of Mathematics and Statistics, University of Reading, Berkshire, UK ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hausdorff Center for Mathematics and Institute for Numerical Simulation, University of Bonn, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Hausdorff Center for Mathematics and Institute for Numerical Simulation, University of Bonn, Bonn, Germany 53115 and Department of Mathematics and Statistics, University of Reading, Berkshire, UK ...#TAB#","institution_ids":["https://openalex.org/I71052956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028983235","display_name":"Tobias von Petersdorff","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tobias von Petersdorff","raw_affiliation_strings":["Department of Mathematics, University of Maryland, College Park, MD, 20742, USA","Department of Mathematics, University of Maryland, MD, USA 20742#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maryland, College Park, MD, 20742, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Department of Mathematics, University of Maryland, MD, USA 20742#TAB#","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110448103","display_name":"Christoph Schwab","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Christoph Schwab","raw_affiliation_strings":["Seminar for Applied Mathematics, ETH Zurich, 8092, Zurich, Switzerland","Seminar for Applied Mathematics, ETH Z\u00fcrich, Zurich, Switzerland 8092#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Seminar for Applied Mathematics, ETH Zurich, 8092, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Seminar for Applied Mathematics, ETH Z\u00fcrich, Zurich, Switzerland 8092#TAB#","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062089780"],"corresponding_institution_ids":["https://openalex.org/I135140700","https://openalex.org/I71052956"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4354,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.66139559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"70","issue":"4","first_page":"847","last_page":"874"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9944000244140625,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9821000099182129,"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":0.7947393655776978},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.6082464456558228},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6010331511497498},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5802310109138489},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.5282064080238342},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.5199138522148132},{"id":"https://openalex.org/keywords/gauss\u2013kronrod-quadrature-formula","display_name":"Gauss\u2013Kronrod quadrature formula","score":0.4962537884712219},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.4957602918148041},{"id":"https://openalex.org/keywords/unit-cube","display_name":"Unit cube","score":0.4366811513900757},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.41241759061813354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4112665057182312},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3556343615055084},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28799599409103394},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24527600407600403},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.23888522386550903},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.2092900276184082}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7947393655776978},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.6082464456558228},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6010331511497498},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5802310109138489},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.5282064080238342},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.5199138522148132},{"id":"https://openalex.org/C14103991","wikidata":"https://www.wikidata.org/wiki/Q5527852","display_name":"Gauss\u2013Kronrod quadrature formula","level":4,"score":0.4962537884712219},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.4957602918148041},{"id":"https://openalex.org/C60432849","wikidata":"https://www.wikidata.org/wiki/Q2072112","display_name":"Unit cube","level":2,"score":0.4366811513900757},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.41241759061813354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4112665057182312},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3556343615055084},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28799599409103394},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24527600407600403},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.23888522386550903},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.2092900276184082},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11075-015-9977-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-9977-6","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.226.9682","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.226.9682","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://chernov.ins.uni-bonn.de/research/pub/1110.pdf","raw_type":"text"},{"id":"pmh:oai:oops.uni-oldenburg.de:2607","is_oa":false,"landing_page_url":"http://oops.uni-oldenburg.de/2607/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400585","display_name":"Carl von Ossiezky University of Oldenburg","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W8052360","https://openalex.org/W1550884118","https://openalex.org/W1646309082","https://openalex.org/W1972342898","https://openalex.org/W1980528419","https://openalex.org/W2006808706","https://openalex.org/W2010111476","https://openalex.org/W2032532622","https://openalex.org/W2033022456","https://openalex.org/W2034878612","https://openalex.org/W2047292749","https://openalex.org/W2063625946","https://openalex.org/W2069877263","https://openalex.org/W2076445885","https://openalex.org/W2285082673","https://openalex.org/W4292079583","https://openalex.org/W4293238311"],"related_works":["https://openalex.org/W1979977928","https://openalex.org/W4306892764","https://openalex.org/W2099067014","https://openalex.org/W2406854962","https://openalex.org/W2102384392","https://openalex.org/W2766083565","https://openalex.org/W2894510230","https://openalex.org/W4220925535","https://openalex.org/W4283066930","https://openalex.org/W1972152164"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
