{"id":"https://openalex.org/W2292048591","doi":"https://doi.org/10.1007/s10444-017-9527-y","title":"Computing ultra-precise eigenvalues of the Laplacian within polygons","display_name":"Computing ultra-precise eigenvalues of the Laplacian within polygons","publication_year":2017,"publication_date":"2017-05-02","ids":{"openalex":"https://openalex.org/W2292048591","doi":"https://doi.org/10.1007/s10444-017-9527-y","mag":"2292048591"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-017-9527-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-017-9527-y","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1602.08636","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042256407","display_name":"Robert Stephen Jones","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Robert Stephen Jones","raw_affiliation_strings":["Independent Researcher, Sunbury, Ohio, USA","Independent Researcher"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher, Sunbury, Ohio, USA","institution_ids":[]},{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5042256407"],"corresponding_institution_ids":[],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.2107,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.4369619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"43","issue":"6","first_page":"1325","last_page":"1354"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9894000291824341,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9887999892234802,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7650872468948364},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6813482046127319},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6475446820259094},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.5493124723434448},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5405004024505615},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5205365419387817},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.4843369722366333},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.46093669533729553},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4538513422012329},{"id":"https://openalex.org/keywords/equiangular-polygon","display_name":"Equiangular polygon","score":0.43947529792785645},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42714792490005493},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4118739366531372},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.399784654378891},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33446207642555237},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.16932687163352966},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13675090670585632},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.10146161913871765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09124591946601868}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7650872468948364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6813482046127319},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6475446820259094},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5493124723434448},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5405004024505615},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5205365419387817},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.4843369722366333},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.46093669533729553},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4538513422012329},{"id":"https://openalex.org/C41779539","wikidata":"https://www.wikidata.org/wiki/Q2543717","display_name":"Equiangular polygon","level":3,"score":0.43947529792785645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42714792490005493},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4118739366531372},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.399784654378891},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33446207642555237},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.16932687163352966},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13675090670585632},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.10146161913871765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09124591946601868},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10444-017-9527-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-017-9527-y","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1602.08636","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1602.08636","pdf_url":"https://arxiv.org/pdf/1602.08636","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2292048591","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1602.08636.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1602.08636","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1602.08636","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1602.08636","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1602.08636","pdf_url":"https://arxiv.org/pdf/1602.08636","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2292048591.pdf","grobid_xml":"https://content.openalex.org/works/W2292048591.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1578221370","https://openalex.org/W1623761801","https://openalex.org/W1639687647","https://openalex.org/W1970821623","https://openalex.org/W1978433134","https://openalex.org/W1987484653","https://openalex.org/W1998006824","https://openalex.org/W2005553184","https://openalex.org/W2008374651","https://openalex.org/W2015557869","https://openalex.org/W2040672344","https://openalex.org/W2061953601","https://openalex.org/W2066041466","https://openalex.org/W2099682198","https://openalex.org/W2127130543","https://openalex.org/W2171890171","https://openalex.org/W2228524389","https://openalex.org/W2539981105","https://openalex.org/W2587110873","https://openalex.org/W2963251793","https://openalex.org/W4256627105"],"related_works":["https://openalex.org/W2963639039","https://openalex.org/W2777001809","https://openalex.org/W3154142931","https://openalex.org/W188029597","https://openalex.org/W2953188358","https://openalex.org/W2797843823","https://openalex.org/W2171498293","https://openalex.org/W2042269075","https://openalex.org/W3021127321","https://openalex.org/W3197286155","https://openalex.org/W1678594161","https://openalex.org/W2950764188","https://openalex.org/W3098973915","https://openalex.org/W2952581327","https://openalex.org/W2892674260","https://openalex.org/W3136967990","https://openalex.org/W2070021624","https://openalex.org/W3197460965","https://openalex.org/W2952932594","https://openalex.org/W3036303433"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}