{"id":"https://openalex.org/W2042112576","doi":"https://doi.org/10.1007/s00211-004-0564-3","title":"Approximation of Integral Operators by Variable-Order Interpolation","display_name":"Approximation of Integral Operators by Variable-Order Interpolation","publication_year":2005,"publication_date":"2005-01-17","ids":{"openalex":"https://openalex.org/W2042112576","doi":"https://doi.org/10.1007/s00211-004-0564-3","mag":"2042112576"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-004-0564-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-004-0564-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5067576230","display_name":"Steffen B\u00f6rm","orcid":"https://orcid.org/0000-0003-2512-474X"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Steffen B\u00f6rm","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, 04103, Leipzig, Germany","Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, 04103, Leipzig, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, 04103, Leipzig, Germany#TAB#","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010283404","display_name":"Maike L\u00f6hndorf","orcid":null},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maike L\u00f6hndorf","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, 04103, Leipzig, Germany","Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, 04103, Leipzig, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, 04103, Leipzig, Germany#TAB#","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058356670","display_name":"Jens Markus Melenk","orcid":"https://orcid.org/0000-0001-9024-6028"},"institutions":[{"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":["GB"],"is_corresponding":false,"raw_author_name":"Jens M. Melenk","raw_affiliation_strings":["Department of Mathematics, The University of Reading, P.O. Box 220, Whiteknights RG6 6AX, United Kingdom","The University of Reading, Department of Mathematics, P.O. Box 220, Whiteknights RG6 6AX, 04103, Leipzig, United Kingdom#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Reading, P.O. Box 220, Whiteknights RG6 6AX, United Kingdom","institution_ids":["https://openalex.org/I71052956"]},{"raw_affiliation_string":"The University of Reading, Department of Mathematics, P.O. Box 220, Whiteknights RG6 6AX, 04103, Leipzig, United Kingdom#TAB#","institution_ids":["https://openalex.org/I71052956"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067576230"],"corresponding_institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210091327"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.974,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.85183711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"99","issue":"4","first_page":"605","last_page":"643"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9969000220298767,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8594681024551392},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7086755037307739},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6536547541618347},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.6182011961936951},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5275696516036987},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4935415983200073},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.49079641699790955},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4610089659690857},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4390064477920532},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4235379099845886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3476744294166565},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22729411721229553}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8594681024551392},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7086755037307739},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6536547541618347},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.6182011961936951},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5275696516036987},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4935415983200073},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.49079641699790955},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4610089659690857},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4390064477920532},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4235379099845886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3476744294166565},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22729411721229553},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-004-0564-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-004-0564-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:edoc.mpg.de:269251","is_oa":false,"landing_page_url":"http://edoc.mpg.de/269251","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","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":"Numerische Mathematik, v.99, 605-643 (2005)","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W612566740","https://openalex.org/W1425400007","https://openalex.org/W1501778161","https://openalex.org/W1569304948","https://openalex.org/W1972581531","https://openalex.org/W1988406495","https://openalex.org/W1989056711","https://openalex.org/W1991670087","https://openalex.org/W2001613017","https://openalex.org/W2005904620","https://openalex.org/W2017989668","https://openalex.org/W2018419001","https://openalex.org/W2031528426","https://openalex.org/W2035254752","https://openalex.org/W2040187556","https://openalex.org/W2059998776","https://openalex.org/W2080803508","https://openalex.org/W2083206954","https://openalex.org/W2100529057","https://openalex.org/W2122137889","https://openalex.org/W2134960052","https://openalex.org/W4205354563"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W2793786119","https://openalex.org/W1507702947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}