{"id":"https://openalex.org/W2964055522","doi":"https://doi.org/10.1145/3326229.3326236","title":"Improved Structural Methods for Nonlinear Differential-Algebraic Equations via Combinatorial Relaxation","display_name":"Improved Structural Methods for Nonlinear Differential-Algebraic Equations via Combinatorial Relaxation","publication_year":2019,"publication_date":"2019-07-08","ids":{"openalex":"https://openalex.org/W2964055522","doi":"https://doi.org/10.1145/3326229.3326236","mag":"2964055522"},"language":"en","primary_location":{"id":"doi:10.1145/3326229.3326236","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3326229.3326236","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3326229.3326236","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3326229.3326236","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056811970","display_name":"Taihei Oki","orcid":"https://orcid.org/0000-0002-6862-9484"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Taihei Oki","raw_affiliation_strings":["University of Tokyo, Bunkyo-ku, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"University of Tokyo, Bunkyo-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056811970"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":0.6,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7067597,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"315","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9926000237464905,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9524000287055969,"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/initialization","display_name":"Initialization","score":0.7114261984825134},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.6688128709793091},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6382502317428589},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.635676383972168},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6166597008705139},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5029162764549255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4815078675746918},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43331512808799744},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4268973469734192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4149720072746277},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3742375671863556},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3440595865249634},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3243033289909363},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.19066709280014038},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14702191948890686}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.7114261984825134},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.6688128709793091},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6382502317428589},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.635676383972168},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6166597008705139},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5029162764549255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4815078675746918},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43331512808799744},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4268973469734192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4149720072746277},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3742375671863556},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3440595865249634},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3243033289909363},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.19066709280014038},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14702191948890686},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3326229.3326236","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3326229.3326236","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3326229.3326236","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3326229.3326236","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3326229.3326236","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3326229.3326236","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1478675965","display_name":null,"funder_award_id":"Grant-in-Aid for JSPS Research Fellow","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G2141786658","display_name":"Construction of an index reduction algorithm for differential-algebraic equations by combinatorial methods","funder_award_id":"18J22141","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G2527124231","display_name":null,"funder_award_id":"Grant-in-Aid for JSPS Research Fell","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G2931883618","display_name":null,"funder_award_id":"JP18J22141","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3236194794","display_name":null,"funder_award_id":"Grant-in-Aid","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3282004645","display_name":null,"funder_award_id":"JPMJCR","funder_id":"https://openalex.org/F4320338075","funder_display_name":"Core Research for Evolutional Science and Technology"},{"id":"https://openalex.org/G6718509927","display_name":null,"funder_award_id":"CREST","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7959303039","display_name":null,"funder_award_id":"JPMJCR14D2,JPMJPR18U9","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G7996441422","display_name":null,"funder_award_id":"JPMJCR14D2","funder_id":"https://openalex.org/F4320338075","funder_display_name":"Core Research for Evolutional Science and Technology"},{"id":"https://openalex.org/G8373771408","display_name":null,"funder_award_id":"JP18J22141","funder_id":"https://openalex.org/F4320320212","funder_display_name":"Japan Society for the Promotion of Science London"},{"id":"https://openalex.org/G8485472354","display_name":null,"funder_award_id":"JSPS Research Fellow","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320320212","display_name":"Japan Society for the Promotion of Science London","ror":"https://ror.org/02m7axw05"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964055522.pdf","grobid_xml":"https://content.openalex.org/works/W2964055522.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W192807697","https://openalex.org/W1509923322","https://openalex.org/W1973133099","https://openalex.org/W1987855642","https://openalex.org/W1995504856","https://openalex.org/W1997959395","https://openalex.org/W2002297246","https://openalex.org/W2013323582","https://openalex.org/W2036269124","https://openalex.org/W2075151302","https://openalex.org/W2076751185","https://openalex.org/W2080953728","https://openalex.org/W2081727334","https://openalex.org/W2222512263","https://openalex.org/W2325571527","https://openalex.org/W2513069050","https://openalex.org/W2791273851","https://openalex.org/W2810378508"],"related_works":["https://openalex.org/W2170030984","https://openalex.org/W2296665929","https://openalex.org/W288746350","https://openalex.org/W1975709954","https://openalex.org/W2023803998","https://openalex.org/W2122287774","https://openalex.org/W2278010680","https://openalex.org/W1511803145","https://openalex.org/W2212647145","https://openalex.org/W2082630724"],"abstract_inverted_index":{"Differential-algebraic":[0],"equations":[1,143],"(DAEs)":[2],"are":[3,21,37,73,78,97,121,129],"widely":[4],"used":[5],"for":[6,91,109,144],"modeling":[7],"of":[8,14,94,135,162,191],"dynamical":[9],"systems.":[10],"In":[11],"numerical":[12,26,51,199],"analysis":[13],"DAEs,":[15,57],"consistent":[16],"initialization":[17],"and":[18,115,128,153,174,188],"index":[19],"reduction":[20],"important":[22],"preprocessing":[23,34],"prior":[24],"to":[25,62,65,68,101,131],"integration.":[27],"Existing":[28,85],"DAE":[29,49,210],"solvers":[30],"commonly":[31],"adopt":[32],"structural":[33,44,71],"methods,":[35,87],"which":[36,69],"based":[38,79,122,147],"on":[39,80,123,148],"combinatorial":[40,82,125],"optimization.":[41],"Unfortunately,":[42],"the":[43,48,70,81,112,116,124,149,155,159,165,182,189,209],"methods":[45,58,72,77,108,120,203],"fail":[46],"if":[47],"has":[50,179],"or":[52,99],"symbolic":[53],"cancellations.":[54],"For":[55],"such":[56],"have":[59],"been":[60],"proposed":[61],"modify":[63,205],"them":[64],"other":[66],"DAEs":[67,95,169,192,207],"applicable.":[74],"The":[75,138,176],"modification":[76,86,107],"relaxation":[83,126],"technique.":[84],"however,":[88],"work":[89],"only":[90],"a":[92,132],"class":[93,134],"that":[96,181,201,208],"linear":[98],"close":[100],"linear.":[102],"This":[103],"paper":[104],"proposes":[105],"two":[106],"nonlinear":[110,136],"DAEs:":[111],"substitution":[113,139],"method":[114,140,167,178],"augmentation":[117,166,177],"method.":[118],"Both":[119],"approach":[127],"applicable":[130],"large":[133],"DAEs.":[137],"symbolically":[141],"solves":[142],"some":[145],"derivatives":[146],"implicit":[150],"function":[151],"theorem":[152],"substitutes":[154],"solution":[156],"back":[157],"into":[158],"system.":[160],"Instead":[161],"solving":[163,184],"equations,":[164],"modifies":[168],"by":[170],"appending":[171],"new":[172],"variables":[173],"equations.":[175],"advantages":[180],"equation":[183],"is":[185,193,196],"not":[186],"needed":[187],"sparsity":[190],"retained.":[194],"It":[195],"shown":[197],"in":[198,212],"experiments":[200],"both":[202],"successfully":[204],"high-index":[206],"solver":[211],"MATLAB":[213],"cannot":[214],"handle.":[215]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
