{"id":"https://openalex.org/W7164181199","doi":"https://doi.org/10.1007/s10915-026-03346-0","title":"High-Frequency Geometrical-Optics Approximations for Helmholtz and Fractional Helmholtz Equations with Fox H-Functions","display_name":"High-Frequency Geometrical-Optics Approximations for Helmholtz and Fractional Helmholtz Equations with Fox H-Functions","publication_year":2026,"publication_date":"2026-06-10","ids":{"openalex":"https://openalex.org/W7164181199","doi":"https://doi.org/10.1007/s10915-026-03346-0"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-026-03346-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-026-03346-0","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, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Finance, Shanghai International Studies University, Shanghai, 201620, China","institution_ids":["https://openalex.org/I11406153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138335176","display_name":"Daniel McCarter","orcid":null},"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":false,"raw_author_name":"Daniel McCarter","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA, 50011, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA, 50011, USA","institution_ids":["https://openalex.org/I173911158"]}]},{"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":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":8.2149,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.97531552,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"108","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.6721000075340271,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.6721000075340271,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.06260000169277191,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.041200000792741776,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/helmholtz-equation","display_name":"Helmholtz equation","score":0.6036999821662903},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5232999920845032},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.44350001215934753},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.3005000054836273},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.265500009059906}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7766000032424927},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.6036999821662903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5442000031471252},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5232999920845032},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.44350001215934753},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33340001106262207},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.31529998779296875},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.265500009059906},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-026-03346-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-026-03346-0","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":[],"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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W95654712","https://openalex.org/W153353184","https://openalex.org/W191636288","https://openalex.org/W1833114141","https://openalex.org/W1967121552","https://openalex.org/W1971588070","https://openalex.org/W2049391017","https://openalex.org/W2057462050","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/W2749408143","https://openalex.org/W2804813293","https://openalex.org/W2957713991","https://openalex.org/W2963972720","https://openalex.org/W2982546823","https://openalex.org/W3200506295","https://openalex.org/W4206751056","https://openalex.org/W4236368649","https://openalex.org/W4241055678","https://openalex.org/W4409341025","https://openalex.org/W4409834202","https://openalex.org/W7157183958"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-06-11T00:00:00"}