{"id":"https://openalex.org/W3104692319","doi":"https://doi.org/10.1007/s10444-016-9484-x","title":"Error estimation for quadrature by expansion in layer potential evaluation","display_name":"Error estimation for quadrature by expansion in layer potential evaluation","publication_year":2016,"publication_date":"2016-10-13","ids":{"openalex":"https://openalex.org/W3104692319","doi":"https://doi.org/10.1007/s10444-016-9484-x","mag":"3104692319"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-016-9484-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-016-9484-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-016-9484-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10444-016-9484-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029110065","display_name":"Ludvig af Klinteberg","orcid":"https://orcid.org/0000-0001-7425-8029"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Ludvig af Klinteberg","raw_affiliation_strings":["Numerical Analysis, Department of Mathematics, KTH Royal Institute of Technology, 100 44, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Numerical Analysis, Department of Mathematics, KTH Royal Institute of Technology, 100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091831807","display_name":"Anna\u2010Karin Tornberg","orcid":"https://orcid.org/0000-0002-4290-1670"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anna-Karin Tornberg","raw_affiliation_strings":["Numerical Analysis, Department of Mathematics, KTH Royal Institute of Technology, 100 44, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Numerical Analysis, Department of Mathematics, KTH Royal Institute of Technology, 100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029110065"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":{"value":3190,"currency":"USD","value_usd":3190},"fwci":2.7506,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.89283254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"43","issue":"1","first_page":"195","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9968000054359436,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/quadrature","display_name":"Quadrature (astronomy)","score":0.765073299407959},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6685929298400879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6243847608566284},{"id":"https://openalex.org/keywords/clenshaw\u2013curtis-quadrature","display_name":"Clenshaw\u2013Curtis quadrature","score":0.5835046768188477},{"id":"https://openalex.org/keywords/gauss\u2013kronrod-quadrature-formula","display_name":"Gauss\u2013Kronrod quadrature formula","score":0.5753729343414307},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5423337817192078},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.5391865372657776},{"id":"https://openalex.org/keywords/tanh-sinh-quadrature","display_name":"Tanh-sinh quadrature","score":0.4983408451080322},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.453274130821228},{"id":"https://openalex.org/keywords/gauss\u2013hermite-quadrature","display_name":"Gauss\u2013Hermite quadrature","score":0.43809041380882263},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.43444114923477173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3973004221916199},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.3921058773994446},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.3427051603794098},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.33969008922576904},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.3016281723976135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0703386664390564}],"concepts":[{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.765073299407959},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6685929298400879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6243847608566284},{"id":"https://openalex.org/C172657837","wikidata":"https://www.wikidata.org/wiki/Q5131618","display_name":"Clenshaw\u2013Curtis quadrature","level":5,"score":0.5835046768188477},{"id":"https://openalex.org/C14103991","wikidata":"https://www.wikidata.org/wiki/Q5527852","display_name":"Gauss\u2013Kronrod quadrature formula","level":4,"score":0.5753729343414307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5423337817192078},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.5391865372657776},{"id":"https://openalex.org/C162046254","wikidata":"https://www.wikidata.org/wiki/Q7683194","display_name":"Tanh-sinh quadrature","level":5,"score":0.4983408451080322},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.453274130821228},{"id":"https://openalex.org/C167590341","wikidata":"https://www.wikidata.org/wiki/Q5527850","display_name":"Gauss\u2013Hermite quadrature","level":5,"score":0.43809041380882263},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.43444114923477173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3973004221916199},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.3921058773994446},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.3427051603794098},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.33969008922576904},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3016281723976135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0703386664390564},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-016-9484-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-016-9484-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-016-9484-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10444-016-9484-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-016-9484-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-016-9484-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1175389069","display_name":"Spectrally accurate fast summation methods applied to Stokes flow and molecular dynamics","funder_award_id":"2011-03178","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320316588","display_name":"G\u00f6ran Gustafssons Stiftelser","ror":"https://ror.org/05s5h0e62"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3104692319.pdf","grobid_xml":"https://content.openalex.org/works/W3104692319.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1998527589","https://openalex.org/W2019890335","https://openalex.org/W2032698883","https://openalex.org/W2043082364","https://openalex.org/W2055396226","https://openalex.org/W2087058805","https://openalex.org/W2103385718","https://openalex.org/W2117648842","https://openalex.org/W2120062331","https://openalex.org/W2132820941","https://openalex.org/W2281227263","https://openalex.org/W2319490309","https://openalex.org/W3089116201","https://openalex.org/W4231866801"],"related_works":["https://openalex.org/W2289189603","https://openalex.org/W2014602125","https://openalex.org/W4317584040","https://openalex.org/W1661554543","https://openalex.org/W4387847482","https://openalex.org/W3115048450","https://openalex.org/W4390128132","https://openalex.org/W2765175526","https://openalex.org/W4205354206","https://openalex.org/W2167506317"],"abstract_inverted_index":{"In":[0,57],"boundary":[1],"integral":[2,21],"methods":[3],"it":[4,41,101],"is":[5,22,31,42],"often":[6],"necessary":[7],"to":[8,15,24,54,67,103,112,116],"evaluate":[9,25],"layer":[10,51,117,135],"potentials":[11,118],"on":[12,44,81],"or":[13],"close":[14,53],"the":[16,19,50,55,72,88,108,130],"boundary,":[17],"where":[18],"underlying":[20],"difficult":[23],"numerically.":[26],"Quadrature":[27],"by":[28],"expansion":[29,48,75],"(QBX)":[30],"a":[32,46,62,78],"new":[33,63],"method":[34,79],"for":[35,107,129,142],"dealing":[36],"with":[37],"such":[38],"integrals,":[39],"and":[40,84,121,132],"based":[43,80],"forming":[45],"local":[47],"of":[49,74,86,91],"potential":[52],"boundary.":[56],"doing":[58],"so,":[59],"one":[60],"introduces":[61],"quadrature":[64,89,109],"error":[65,90],"due":[66],"nearly":[68,92],"singular":[69,93],"integration":[70,83],"in":[71,119,145],"evaluation":[73],"coefficients.":[76],"Using":[77],"contour":[82],"calculus":[85],"residues,":[87],"integrals":[94],"can":[95,139],"be":[96,140],"accurately":[97],"estimated.":[98],"This":[99],"makes":[100],"possible":[102],"derive":[104,127],"accurate":[105],"estimates":[106,128],"errors":[110],"related":[111],"QBX,":[113],"when":[114],"applied":[115],"two":[120],"three":[122],"dimensions.":[123],"As":[124],"examples":[125],"we":[126],"Laplace":[131],"Helmholtz":[133],"single":[134],"potentials.":[136],"These":[137],"results":[138],"used":[141],"parameter":[143],"selection":[144],"practical":[146],"applications.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2020-11-23T00:00:00"}
