{"id":"https://openalex.org/W2564919327","doi":"https://doi.org/10.1515/cmam-2016-0006","title":"Numerical Analysis and Computation of a Type of IMEX Method for the Time-Dependent Natural Convection Problem","display_name":"Numerical Analysis and Computation of a Type of IMEX Method for the Time-Dependent Natural Convection Problem","publication_year":2016,"publication_date":"2016-02-24","ids":{"openalex":"https://openalex.org/W2564919327","doi":"https://doi.org/10.1515/cmam-2016-0006","mag":"2564919327"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2016-0006","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2016-0006","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","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/A5048319846","display_name":"Yunbo Yang","orcid":"https://orcid.org/0000-0003-1215-814X"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun-Bo Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034372090","display_name":"Yao\u2010Lin Jiang","orcid":"https://orcid.org/0000-0002-5541-1136"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yao-Lin Jiang","raw_affiliation_strings":["School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034372090"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":1.8238,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.84330379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"16","issue":"2","first_page":"321","last_page":"344"},"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":1.0,"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":1.0,"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":0.9988999962806702,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8275671601295471},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7200344800949097},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6355727910995483},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5749551057815552},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5677605867385864},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5586921572685242},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5476440787315369},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5332044959068298},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5244631767272949},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.450411319732666},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4493560791015625},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.43873870372772217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4358218014240265},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1648656725883484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15625432133674622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15598216652870178},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13425642251968384},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08805537223815918}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8275671601295471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7200344800949097},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6355727910995483},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5749551057815552},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5677605867385864},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5586921572685242},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5476440787315369},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5332044959068298},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5244631767272949},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.450411319732666},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4493560791015625},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.43873870372772217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4358218014240265},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1648656725883484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15625432133674622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15598216652870178},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13425642251968384},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08805537223815918},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2016-0006","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2016-0006","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","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":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G142341360","display_name":null,"funder_award_id":"11371287","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":1,"referenced_works":["https://openalex.org/W2004494416"],"related_works":["https://openalex.org/W3036101264","https://openalex.org/W2163151373","https://openalex.org/W1986676657","https://openalex.org/W4238257821","https://openalex.org/W2165001118","https://openalex.org/W2022713607","https://openalex.org/W2794551621","https://openalex.org/W4246396821","https://openalex.org/W2084691910","https://openalex.org/W1982328599"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"new":[2,122],"numerical":[3,105],"regularization":[4],"method":[5,37],"for":[6,80],"the":[7,46,50,68,72,81,83,86,112,118,121],"natural":[8],"convection":[9],"problem":[10,62],"is":[11,14,74,91,99],"presented,":[12],"which":[13],"based":[15],"on":[16],"a":[17,40,60,77,95,102],"type":[18],"of":[19,71,104,120],"implicit-explicit":[20],"(IMEX)":[21],"second-order":[22],"time-stepping":[23],"schemes":[24],"in":[25,33,44],"temporal":[26],"discretization":[27],"and":[28,49,67,85,93,115],"stabilized":[29],"mixed":[30],"finite":[31],"element":[32],"spatial":[34],"discretization.":[35],"This":[36],"deals":[38],"with":[39],"non-linear":[41],"advection":[42],"term":[43,79],"both":[45],"momentum":[47],"equation":[48,52],"energy":[51],"by":[53],"linearization.":[54],"We":[55],"only":[56],"need":[57],"to":[58,110,116],"solve":[59],"linear":[61],"at":[63],"each":[64],"time":[65],"step":[66],"discrete":[69],"curvature":[70],"solutions":[73],"added":[75],"as":[76],"stabilization":[78],"velocity,":[82],"pressure":[84],"temperature,":[87],"respectively.":[88],"Unconditional":[89],"stability":[90],"proved":[92],"an":[94],"priori":[96],"error":[97],"estimate":[98],"derived.":[100],"Finally,":[101],"series":[103],"experiments":[106],"are":[107],"also":[108],"given":[109],"confirm":[111],"theoretical":[113],"analysis":[114],"demonstrate":[117],"efficiency":[119],"method.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
