{"id":"https://openalex.org/W4382310227","doi":"https://doi.org/10.1155/2023/4941679","title":"Exact Nonlinear Spectral Analysis of Nonsmooth WENO-JS Solutions","display_name":"Exact Nonlinear Spectral Analysis of Nonsmooth WENO-JS Solutions","publication_year":2023,"publication_date":"2023-05-10","ids":{"openalex":"https://openalex.org/W4382310227","doi":"https://doi.org/10.1155/2023/4941679"},"language":"en","primary_location":{"id":"doi:10.1155/2023/4941679","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1155/2023/4941679","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/4941679.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2023/4941679.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035402388","display_name":"Tamer Kasem","orcid":"https://orcid.org/0000-0003-1089-8785"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]},{"id":"https://openalex.org/I57629906","display_name":"Nile University","ror":"https://ror.org/03cg7cp61","country_code":"EG","type":"education","lineage":["https://openalex.org/I57629906"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Tamer H. M. A. Kasem","raw_affiliation_strings":["Cairo University, Egypt","Smart Engineering Systems Research Center (SESC), Nile University, Giza 12588, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-1089-8785","affiliations":[{"raw_affiliation_string":"Cairo University, Egypt","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Smart Engineering Systems Research Center (SESC), Nile University, Giza 12588, Egypt","institution_ids":["https://openalex.org/I57629906"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035402388"],"corresponding_institution_ids":["https://openalex.org/I145487455","https://openalex.org/I57629906"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08637854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2023","issue":null,"first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8331649303436279},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.685075044631958},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6017377972602844},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5964326858520508},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.5314660668373108},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5265819430351257},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5126561522483826},{"id":"https://openalex.org/keywords/spectral-analysis","display_name":"Spectral analysis","score":0.4192081093788147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3886234760284424},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3389310836791992},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.25310051441192627},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10267314314842224}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8331649303436279},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.685075044631958},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6017377972602844},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5964326858520508},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.5314660668373108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5265819430351257},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5126561522483826},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.4192081093788147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3886234760284424},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3389310836791992},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.25310051441192627},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10267314314842224},{"id":"https://openalex.org/C32891209","wikidata":"https://www.wikidata.org/wiki/Q483666","display_name":"Spectroscopy","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2023/4941679","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1155/2023/4941679","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/4941679.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnljam:4941679","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/jam/2023/4941679.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:1c2013f65bd34e9389fa1c5ffcb09f30","is_oa":true,"landing_page_url":"https://doaj.org/article/1c2013f65bd34e9389fa1c5ffcb09f30","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2023 (2023)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2023/4941679","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/4941679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2023/4941679","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1155/2023/4941679","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/4941679.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320330006","display_name":"Nile University","ror":"https://ror.org/03cg7cp61"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382310227.pdf","grobid_xml":"https://content.openalex.org/works/W4382310227.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W583222442","https://openalex.org/W1488990851","https://openalex.org/W1886421468","https://openalex.org/W2020570703","https://openalex.org/W2039150507","https://openalex.org/W2050409223","https://openalex.org/W2053387446","https://openalex.org/W2061237111","https://openalex.org/W2109801076","https://openalex.org/W2163604103","https://openalex.org/W2170107618","https://openalex.org/W2476154690","https://openalex.org/W2489142458","https://openalex.org/W2495336593","https://openalex.org/W2498216762","https://openalex.org/W2897140358","https://openalex.org/W3046989553","https://openalex.org/W3086400475","https://openalex.org/W3110038039","https://openalex.org/W3142517368","https://openalex.org/W4244063180","https://openalex.org/W4300831640","https://openalex.org/W6636815018"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W4206768127","https://openalex.org/W1492103595","https://openalex.org/W4213270568","https://openalex.org/W1864774435","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W946352265"],"abstract_inverted_index":{"The":[0,32,50,64,81,105],"fifth-order":[1],"accurate":[2],"Weighted":[3],"Essentially":[4],"Nonoscillatory":[5],"space":[6],"discretization":[7],"developed":[8,24],"by":[9],"Jiang":[10],"and":[11,60,75],"Shu":[12],"(WENO-JS)":[13],"is":[14,23,42,73,103,121],"studied":[15],"theoretically.":[16],"An":[17],"exact":[18],"Nonlinear":[19],"Spectral":[20],"Method":[21],"(NSM)":[22],"based":[25],"on":[26],"an":[27],"innovative":[28],"yet":[29],"simple":[30],"methodology.":[31],"NSM":[33,51,125],"explains":[34],"the":[35,53,56,61,85,90,98,108,113,124,130],"behaviour":[36],"of":[37,55,84,87,107,110],"nonsmooth":[38],"solutions":[39],"because":[40],"it":[41],"valid":[43],"for":[44],"arbitrary":[45],"modified":[46],"wave":[47],"numbers":[48],"(MWN).":[49],"clarifies":[52],"effects":[54],"time":[57,93],"integration":[58,94],"methods":[59],"Courant":[62],"number.":[63],"mode":[65],"isolation":[66],"assumption,":[67],"extensively":[68],"used":[69],"to":[70,97],"analyse":[71],"WENO-JS,":[72],"elucidated,":[74],"several":[76,127],"novel":[77],"findings":[78],"are":[79],"presented.":[80],"improved":[82],"performance":[83],"combination":[86,109],"WENO-JS":[88,111],"with":[89,112],"forward":[91],"Euler":[92],"method,":[95],"compared":[96],"Linear":[99],"Fifth-Order":[100],"Upwind":[101],"discretization,":[102],"illustrated.":[104],"overdamping":[106],"popular":[114],"third-order":[115],"total":[116],"variation":[117],"diminishing":[118],"Runge-Kutta":[119],"method":[120],"discovered.":[122],"Thus,":[123],"covers":[126],"gaps":[128],"in":[129],"current":[131],"literature.":[132]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
