{"id":"https://openalex.org/W4386417878","doi":"https://doi.org/10.1007/s11075-023-01642-6","title":"High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations","display_name":"High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations","publication_year":2023,"publication_date":"2023-09-04","ids":{"openalex":"https://openalex.org/W4386417878","doi":"https://doi.org/10.1007/s11075-023-01642-6"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-023-01642-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-023-01642-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5039635290","display_name":"Wenju Liu","orcid":"https://orcid.org/0000-0001-9088-8282"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenju Liu","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, 210023, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, 210023, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034364243","display_name":"Tengjin Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I132586189","display_name":"Zhongyuan University of Technology","ror":"https://ror.org/0360zcg91","country_code":"CN","type":"education","lineage":["https://openalex.org/I132586189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tengjin Zhao","raw_affiliation_strings":["College of Science, Zhongyuan University of Technology, 450007, Zhengzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Zhongyuan University of Technology, 450007, Zhengzhou, China","institution_ids":["https://openalex.org/I132586189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038705826","display_name":"Zhiyue Zhang","orcid":"https://orcid.org/0000-0001-7070-2532"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiyue Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, 210023, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, 210023, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039635290"],"corresponding_institution_ids":["https://openalex.org/I152031979"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2419,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76066232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"96","issue":"1","first_page":"135","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994999766349792,"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/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.8739584684371948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8228917121887207},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.587035059928894},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.537652850151062},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.535872220993042},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4909234642982483},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4592449963092804},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.44447553157806396},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.42293423414230347},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.41348642110824585},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.398219496011734},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06366074085235596}],"concepts":[{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.8739584684371948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8228917121887207},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.587035059928894},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.537652850151062},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.535872220993042},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4909234642982483},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4592449963092804},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.44447553157806396},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.42293423414230347},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.41348642110824585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.398219496011734},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06366074085235596},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-023-01642-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-023-01642-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8313573740","display_name":null,"funder_award_id":"11971241","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W376029031","https://openalex.org/W567142709","https://openalex.org/W636727077","https://openalex.org/W1973676901","https://openalex.org/W1977245994","https://openalex.org/W1980770629","https://openalex.org/W2001328714","https://openalex.org/W2001621596","https://openalex.org/W2013256060","https://openalex.org/W2021174376","https://openalex.org/W2029090963","https://openalex.org/W2029529153","https://openalex.org/W2035148714","https://openalex.org/W2035684085","https://openalex.org/W2039991802","https://openalex.org/W2041279600","https://openalex.org/W2042248887","https://openalex.org/W2047612590","https://openalex.org/W2048797715","https://openalex.org/W2052810255","https://openalex.org/W2062358873","https://openalex.org/W2067838849","https://openalex.org/W2073447845","https://openalex.org/W2074305429","https://openalex.org/W2074327661","https://openalex.org/W2075201176","https://openalex.org/W2082011983","https://openalex.org/W2086904401","https://openalex.org/W2088882692","https://openalex.org/W2089898184","https://openalex.org/W2094545899","https://openalex.org/W2095947114","https://openalex.org/W2118341834","https://openalex.org/W2135675199","https://openalex.org/W2141358704","https://openalex.org/W2244340415","https://openalex.org/W2326052378","https://openalex.org/W2345480036","https://openalex.org/W2474054148","https://openalex.org/W2507089618","https://openalex.org/W2533501082","https://openalex.org/W2571966495","https://openalex.org/W2740026496","https://openalex.org/W2774523565","https://openalex.org/W2890144937","https://openalex.org/W2912777423","https://openalex.org/W2963274846","https://openalex.org/W2963773737","https://openalex.org/W2964306725","https://openalex.org/W2976803352","https://openalex.org/W2989995848","https://openalex.org/W2994755430","https://openalex.org/W3012882536","https://openalex.org/W3044931016","https://openalex.org/W3094291517","https://openalex.org/W3096244057","https://openalex.org/W3119743065","https://openalex.org/W3156054739","https://openalex.org/W3160436836","https://openalex.org/W3177602060","https://openalex.org/W3192441263","https://openalex.org/W3203100609","https://openalex.org/W4210283101","https://openalex.org/W4251423481"],"related_works":["https://openalex.org/W1524951469","https://openalex.org/W3043663456","https://openalex.org/W2800368952","https://openalex.org/W2371479323","https://openalex.org/W2092711245","https://openalex.org/W1499618656","https://openalex.org/W2158003243","https://openalex.org/W3137746120","https://openalex.org/W2561822141","https://openalex.org/W2134484485"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}