{"id":"https://openalex.org/W2962811440","doi":"https://doi.org/10.1142/s1793962313420087","title":"STRUCTURAL ANALYSIS OF HIGH-INDEX DAE FOR PROCESS SIMULATION","display_name":"STRUCTURAL ANALYSIS OF HIGH-INDEX DAE FOR PROCESS SIMULATION","publication_year":2013,"publication_date":"2013-06-25","ids":{"openalex":"https://openalex.org/W2962811440","doi":"https://doi.org/10.1142/s1793962313420087","mag":"2962811440"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962313420087","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962313420087","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and 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/A5109186228","display_name":"Xiaolin Qin","orcid":"https://orcid.org/0000-0001-5087-8178"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"XIAOLIN QIN","raw_affiliation_strings":["Chengdu Institute of Computer Applications, CAS, Chengdu 610041, P. R. China","Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China","Chengdu Institute of Computer Applications, CAS, Chengdu 610041, P. R. China; Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China"],"affiliations":[{"raw_affiliation_string":"Chengdu Institute of Computer Applications, CAS, Chengdu 610041, P. R. China","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"Chengdu Institute of Computer Applications, CAS, Chengdu 610041, P. R. China; Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102896926","display_name":"Wenyuan Wu","orcid":"https://orcid.org/0000-0003-1169-379X"},"institutions":[{"id":"https://openalex.org/I4210123021","display_name":"Chongqing Institute of Green and Intelligent Technology","ror":"https://ror.org/031npqv35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210123021"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"WENYUAN WU","raw_affiliation_strings":["Chongqing Institutes of Green and Intelligent Technology, CAS, Chongqing 401122, P. R. China"],"affiliations":[{"raw_affiliation_string":"Chongqing Institutes of Green and Intelligent Technology, CAS, Chongqing 401122, P. R. China","institution_ids":["https://openalex.org/I4210123021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100381167","display_name":"Yong Feng","orcid":"https://orcid.org/0000-0002-8151-8594"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"YONG FENG","raw_affiliation_strings":["Chengdu Institute of Computer Applications, CAS, Chengdu 610041, P. R. China"],"affiliations":[{"raw_affiliation_string":"Chengdu Institute of Computer Applications, CAS, Chengdu 610041, P. R. China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044156631","display_name":"Greg Reid","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"GREG REID","raw_affiliation_strings":["Applied Mathematics Department, University of Western Ontario, London, Canada N6A 5B7, Canada"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics Department, University of Western Ontario, London, Canada N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109186228"],"corresponding_institution_ids":["https://openalex.org/I24185976"],"apc_list":null,"apc_paid":null,"fwci":1.8127,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86602128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"04","issue":"04","first_page":"1342008","last_page":"1342008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.984000027179718,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9761999845504761,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/graph","display_name":"Graph","score":0.5258429646492004},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5177590250968933},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5079005360603333},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.49601444602012634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48388561606407166},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47453176975250244},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4419267773628235},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.44062039256095886},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4317353367805481},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4273822605609894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4262658655643463},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42130163311958313},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4192025363445282},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3721885085105896},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2661033272743225},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13000494241714478},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.12507396936416626},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07566192746162415}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5258429646492004},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5177590250968933},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5079005360603333},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.49601444602012634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48388561606407166},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47453176975250244},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4419267773628235},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.44062039256095886},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4317353367805481},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4273822605609894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4262658655643463},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42130163311958313},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4192025363445282},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3721885085105896},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2661033272743225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13000494241714478},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.12507396936416626},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07566192746162415},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962313420087","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962313420087","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W93055880","https://openalex.org/W192807697","https://openalex.org/W1492364934","https://openalex.org/W1517125074","https://openalex.org/W1691229643","https://openalex.org/W1982087914","https://openalex.org/W1983438352","https://openalex.org/W2027962615","https://openalex.org/W2036952813","https://openalex.org/W2060994312","https://openalex.org/W2066092758","https://openalex.org/W2076296366","https://openalex.org/W2080953728","https://openalex.org/W2149799385","https://openalex.org/W2154208952","https://openalex.org/W2155246970","https://openalex.org/W2222512263","https://openalex.org/W2964043515"],"related_works":["https://openalex.org/W2532234348","https://openalex.org/W108084911","https://openalex.org/W2393440248","https://openalex.org/W2415963984","https://openalex.org/W2321703116","https://openalex.org/W2047656848","https://openalex.org/W98620387","https://openalex.org/W2153650232","https://openalex.org/W592322406","https://openalex.org/W2985353392"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"the":[4,25,28,41,44,68,77,98,109,125],"structural":[5],"analysis":[6],"problem":[7],"of":[8,31,43,60,83,91,100,108,111,119],"dynamic":[9],"lumped":[10],"process":[11,93,114],"high-index":[12],"differential":[13,45,70,127],"algebraic":[14],"equations":[15],"(DAE)":[16],"models.":[17,49],"The":[18],"existing":[19],"graph":[20],"theoretical":[21],"method":[22,66,102],"depends":[23],"on":[24],"change":[26],"in":[27,113],"relative":[29],"position":[30],"underspecified":[32],"and":[33,36,67,81,130],"overspecified":[34],"subgraphs":[35],"has":[37],"an":[38],"effect":[39],"to":[40],"value":[42],"index":[46,58],"for":[47,57],"complex":[48],"In":[50,96],"this":[51],"paper,":[52],"we":[53],"consider":[54],"two":[55],"methods":[56,85],"reduction":[59],"such":[61],"models":[62],"by":[63,124],"differentiation:":[64],"Pryce's":[65,101],"symbolic":[69,126],"elimination":[71,128],"algorithm":[72,129],"rifsimp.":[73],"They":[74],"can":[75],"remedy":[76],"above":[78],"drawbacks.":[79],"Discussion":[80],"comparison":[82],"these":[84],"are":[86,122],"given":[87],"via":[88],"a":[89,106,117],"class":[90],"fundamental":[92],"simulation":[94],"examples.":[95],"particular,":[97],"efficiency":[99],"is":[103],"illustrated":[104],"as":[105],"function":[107],"number":[110],"tanks":[112],"design.":[115],"Moreover,":[116],"range":[118],"nontrivial":[120],"problems":[121],"demonstrated":[123],"fast":[131],"prolongation.":[132]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}