{"id":"https://openalex.org/W1999100584","doi":"https://doi.org/10.1137/s1064827595294344","title":"Approximation of the Wave and Electromagnetic Diffusion Equations by Spectral Method","display_name":"Approximation of the Wave and Electromagnetic Diffusion Equations by Spectral Method","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1999100584","doi":"https://doi.org/10.1137/s1064827595294344","mag":"1999100584"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827595294344","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827595294344","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/A5111586176","display_name":"Faker Ben Belgacem","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"F. Ben Belgacem","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002271787","display_name":"Marius Grundmann","orcid":"https://orcid.org/0000-0001-7554-182X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Grundmann","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5194,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.62397199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"1","first_page":"13","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9995999932289124,"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":0.7615175247192383},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.7131312489509583},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6696579456329346},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6532323360443115},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5352098941802979},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4642181396484375},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.42678558826446533},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37995272874832153},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.274774968624115}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7615175247192383},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.7131312489509583},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6696579456329346},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6532323360443115},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5352098941802979},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4642181396484375},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.42678558826446533},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37995272874832153},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.274774968624115},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827595294344","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827595294344","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":7,"referenced_works":["https://openalex.org/W235449542","https://openalex.org/W1515623627","https://openalex.org/W1589236075","https://openalex.org/W1598326876","https://openalex.org/W1674659126","https://openalex.org/W1969094857","https://openalex.org/W2064909895"],"related_works":["https://openalex.org/W2769754504","https://openalex.org/W2167016759","https://openalex.org/W4312629023","https://openalex.org/W3197663129","https://openalex.org/W4311427442","https://openalex.org/W1490754829","https://openalex.org/W3125111592","https://openalex.org/W2977602100","https://openalex.org/W4298303811","https://openalex.org/W1999100584"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,12,38,47],"this":[3],"paper":[4],"is":[5],"to":[6,56],"describe":[7],"a":[8,32],"variational":[9],"spectral":[10],"solver":[11],"the":[13,26,36,63],"three-dimensional":[14],"operator":[15],"(I":[16],"+":[17],"curlcurl)":[18],"which":[19],"we":[20,43],"often":[21],"encounter":[22],"when":[23],"dealing":[24],"with":[25],"Maxwell":[27,64],"problem.":[28],"We":[29],"carry":[30],"out":[31],"mathematical":[33],"study":[34],"proving":[35],"optimality":[37],"such":[39],"an":[40,45],"algorithm":[41],"and":[42],"make":[44],"analysis":[46],"its":[48,51],"complexity":[49],"showing":[50],"efficiency.":[52],"Finally,":[53],"some":[54],"applications":[55],"time-dependent":[57],"partial":[58],"differential":[59],"equations":[60],"obtained":[61],"from":[62],"model":[65],"are":[66],"presented.":[67]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}