{"id":"https://openalex.org/W2121113190","doi":"https://doi.org/10.1137/030602241","title":"Single Level Multipole Expansions and Operators for Potentials of the Form $r^-\\lambda$","display_name":"Single Level Multipole Expansions and Operators for Potentials of the Form $r^-\\lambda$","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2121113190","doi":"https://doi.org/10.1137/030602241","mag":"2121113190"},"language":"en","primary_location":{"id":"doi:10.1137/030602241","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030602241","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/A5102882221","display_name":"Indranil Chowdhury","orcid":"https://orcid.org/0000-0002-7667-7806"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Indranil Chowdhury","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014031807","display_name":"Vikram Jandhyala","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vikram Jandhyala","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102882221"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4673,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81768685,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"3","first_page":"930","last_page":"943"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T11851","display_name":"Electromagnetic Compatibility and Measurements","score":0.9984999895095825,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9980000257492065,"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/multipole-expansion","display_name":"Multipole expansion","score":0.9406368732452393},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.868130087852478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8318060040473938},{"id":"https://openalex.org/keywords/fast-multipole-method","display_name":"Fast multipole method","score":0.5713733434677124},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.45547083020210266},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42404884099960327},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1225023865699768},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11286556720733643}],"concepts":[{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.9406368732452393},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.868130087852478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8318060040473938},{"id":"https://openalex.org/C135115559","wikidata":"https://www.wikidata.org/wiki/Q5437040","display_name":"Fast multipole method","level":3,"score":0.5713733434677124},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.45547083020210266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42404884099960327},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1225023865699768},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11286556720733643},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/030602241","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030602241","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1535035979","https://openalex.org/W1971281392","https://openalex.org/W2011842427","https://openalex.org/W2054557822","https://openalex.org/W2068306188","https://openalex.org/W2084282274","https://openalex.org/W2088644550","https://openalex.org/W2120891799","https://openalex.org/W2126661453","https://openalex.org/W2146612252","https://openalex.org/W2169594918","https://openalex.org/W3046545066"],"related_works":["https://openalex.org/W1822333417","https://openalex.org/W2952819168","https://openalex.org/W2158582466","https://openalex.org/W2076771790","https://openalex.org/W2188162172","https://openalex.org/W2121113190","https://openalex.org/W3041395085","https://openalex.org/W2055419313","https://openalex.org/W2664959822","https://openalex.org/W1990024237"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,15],"generalized":[4],"multipole,":[5],"local,":[6],"and":[7,33,59],"translation":[8],"operators":[9],"for":[10,44],"three-dimensional":[11],"static":[12],"potentials":[13],"of":[14,56],"form":[16],"$r^{-\\lambda}$,":[17],"where":[18],"$\\lambda$":[19,60],"is":[20],"any":[21],"real":[22],"number.":[23],"Addition":[24],"theorems":[25],"are":[26,36,61],"developed":[27],"using":[28],"Gegenbauer":[29],"polynomials.":[30],"Multipole":[31],"expansions":[32],"error":[34,52],"bounds":[35],"presented":[37],"in":[38],"a":[39],"manner":[40],"similar":[41],"to":[42],"those":[43],"truncated":[45],"classical":[46],"multipole":[47],"expansions.":[48],"Numerical":[49],"results":[50],"showing":[51],"behavior":[53],"versus":[54],"number":[55],"terms,":[57],"distance,":[58],"presented.":[62]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}