{"id":"https://openalex.org/W4409341025","doi":"https://doi.org/10.1007/s10915-025-02881-6","title":"Asymptotic Methods for Fractional Helmholtz Equations in the High Frequency Regime","display_name":"Asymptotic Methods for Fractional Helmholtz Equations in the High Frequency Regime","publication_year":2025,"publication_date":"2025-04-10","ids":{"openalex":"https://openalex.org/W4409341025","doi":"https://doi.org/10.1007/s10915-025-02881-6"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-025-02881-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-025-02881-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of 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/A5067208100","display_name":"Yijin Gao","orcid":"https://orcid.org/0000-0001-8553-5247"},"institutions":[{"id":"https://openalex.org/I11406153","display_name":"Shanghai International Studies University","ror":"https://ror.org/01bn89z48","country_code":"CN","type":"education","lineage":["https://openalex.org/I11406153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yijin Gao","raw_affiliation_strings":["School of Economics and Finance, Shanghai International Studies University, Shanghai, 201620, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Finance, Shanghai International Studies University, Shanghai, 201620, People\u2019s Republic of China","institution_ids":["https://openalex.org/I11406153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007259481","display_name":"Songting Luo","orcid":"https://orcid.org/0000-0003-2904-9169"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Songting Luo","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA, 50011, USA"],"raw_orcid":"https://orcid.org/0000-0003-2904-9169","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA, 50011, USA","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007259481"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.529,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64423209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"103","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9993000030517578,"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":0.9991999864578247,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8270561695098877},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.5989102721214294},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.506201446056366},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.44829654693603516},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33659762144088745},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.07666286826133728}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8270561695098877},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.5989102721214294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.506201446056366},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.44829654693603516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33659762144088745},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.07666286826133728}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-025-02881-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-025-02881-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G1298614137","display_name":null,"funder_award_id":"714376","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W95654712","https://openalex.org/W153353184","https://openalex.org/W1833114141","https://openalex.org/W1966501171","https://openalex.org/W1967121552","https://openalex.org/W1967564273","https://openalex.org/W2001860621","https://openalex.org/W2039150507","https://openalex.org/W2045849310","https://openalex.org/W2049391017","https://openalex.org/W2057462050","https://openalex.org/W2079578802","https://openalex.org/W2132003031","https://openalex.org/W2144062695","https://openalex.org/W2151288530","https://openalex.org/W2152712142","https://openalex.org/W2157204523","https://openalex.org/W2168850143","https://openalex.org/W2169501376","https://openalex.org/W2171798031","https://openalex.org/W2463079482","https://openalex.org/W2749408143","https://openalex.org/W2891412209","https://openalex.org/W2913032486","https://openalex.org/W2957713991","https://openalex.org/W2982546823","https://openalex.org/W3100831025","https://openalex.org/W3200506295","https://openalex.org/W4236368649","https://openalex.org/W4300223101","https://openalex.org/W4307856320","https://openalex.org/W4396213953"],"related_works":["https://openalex.org/W2054094817","https://openalex.org/W3210029216","https://openalex.org/W2887898300","https://openalex.org/W2170150962","https://openalex.org/W4400624219","https://openalex.org/W2044042856","https://openalex.org/W3198981003","https://openalex.org/W2115290354","https://openalex.org/W2517723413","https://openalex.org/W1494372433"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}