{"id":"https://openalex.org/W2760223394","doi":"https://doi.org/10.1137/16m1083803","title":"Chebfun in Three Dimensions","display_name":"Chebfun in Three Dimensions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2760223394","doi":"https://doi.org/10.1137/16m1083803","mag":"2760223394"},"language":"en","primary_location":{"id":"doi:10.1137/16m1083803","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1083803","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5029089965","display_name":"Behnam Hashemi","orcid":"https://orcid.org/0000-0002-8847-2058"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Behnam Hashemi","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK,"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK,","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065363123","display_name":"Lloyd N. Trefethen","orcid":"https://orcid.org/0000-0003-2504-1709"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lloyd N. Trefethen","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK,"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK,","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029089965"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":2.9591,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.92307692,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"39","issue":"5","first_page":"C341","last_page":"C363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9898999929428101,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8275911211967468},{"id":"https://openalex.org/keywords/parallelepiped","display_name":"Parallelepiped","score":0.609409749507904},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5739167332649231},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.53908771276474},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5159757733345032},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5000426769256592},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4937454164028168},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4732832610607147},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.46565061807632446},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.45705246925354004},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3333542048931122},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29867416620254517},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27142423391342163},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14040353894233704},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11507683992385864},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07640606164932251}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8275911211967468},{"id":"https://openalex.org/C2779788511","wikidata":"https://www.wikidata.org/wiki/Q181658","display_name":"Parallelepiped","level":2,"score":0.609409749507904},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5739167332649231},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.53908771276474},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5159757733345032},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5000426769256592},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4937454164028168},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4732832610607147},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.46565061807632446},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.45705246925354004},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3333542048931122},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29867416620254517},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27142423391342163},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14040353894233704},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11507683992385864},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07640606164932251},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/16m1083803","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1083803","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:7a2ec901-8b4b-4fed-bed1-1980571e5bf9","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:7a2ec901-8b4b-4fed-bed1-1980571e5bf9","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2047843668","display_name":null,"funder_award_id":"FP7/20072013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3981126665","display_name":null,"funder_award_id":"Seventh Framework Programme","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4618763421","display_name":null,"funder_award_id":"200720","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5702163051","display_name":null,"funder_award_id":"FP7/2007","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5904163194","display_name":null,"funder_award_id":"291068","funder_id":"https://openalex.org/F4320333065","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G7923499020","display_name":"Numerical Computation with Functions Instead of Numbers","funder_award_id":"291068","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320333065","display_name":"Seventh Framework Programme","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W50417968","https://openalex.org/W253307310","https://openalex.org/W784036489","https://openalex.org/W1967077133","https://openalex.org/W1980906180","https://openalex.org/W1993482030","https://openalex.org/W2000045479","https://openalex.org/W2004417727","https://openalex.org/W2013912476","https://openalex.org/W2024165284","https://openalex.org/W2025485823","https://openalex.org/W2031764552","https://openalex.org/W2055881647","https://openalex.org/W2073469810","https://openalex.org/W2076028636","https://openalex.org/W2081933490","https://openalex.org/W2081962379","https://openalex.org/W2095210482","https://openalex.org/W2111184589","https://openalex.org/W2130694104","https://openalex.org/W2133643411","https://openalex.org/W2152847342","https://openalex.org/W2167965189","https://openalex.org/W2256562807","https://openalex.org/W2543667244","https://openalex.org/W2743636838","https://openalex.org/W2963520444"],"related_works":["https://openalex.org/W634571496","https://openalex.org/W579400037","https://openalex.org/W2951578208","https://openalex.org/W1570037808","https://openalex.org/W4386784405","https://openalex.org/W115184939","https://openalex.org/W4285286257","https://openalex.org/W4298173607","https://openalex.org/W2153015377","https://openalex.org/W2337044968"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"algorithm":[3],"for":[4,58,71],"numerical":[5],"computations":[6],"involving":[7],"trivariate":[8],"functions":[9,35],"in":[10,15,45],"a":[11],"three-dimensional":[12],"rectangular":[13],"parallelepiped":[14],"the":[16,46,52],"context":[17],"of":[18,56,73,76],"Chebfun.":[19],"Our":[20],"scheme":[21],"is":[22],"based":[23],"on":[24],"low-rank":[25,80],"representation":[26],"through":[27],"multivariate":[28,77],"adaptive":[29],"cross":[30],"approximation.":[31],"The":[32],"component":[33],"one-dimensional":[34],"are":[36],"represented":[37],"by":[38],"finite":[39],"Chebyshev":[40],"expansions,":[41],"or":[42],"trigonometric":[43],"expansions":[44],"periodic":[47],"case.":[48],"Numerical":[49],"experiments":[50],"show":[51],"power":[53],"and":[54,66,79],"convenience":[55],"Chebfun3":[57],"problems":[59],"such":[60],"as":[61,68,70],"function":[62],"manipulation,":[63],"differentiation,":[64],"optimization,":[65],"integration,":[67],"well":[69],"exploration":[72],"fundamental":[74],"issues":[75],"approximation":[78],"compression.":[81]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
