{"id":"https://openalex.org/W3081303566","doi":"https://doi.org/10.1145/3410527","title":"SIERE","display_name":"SIERE","publication_year":2020,"publication_date":"2020-08-26","ids":{"openalex":"https://openalex.org/W3081303566","doi":"https://doi.org/10.1145/3410527","mag":"3081303566"},"language":"en","primary_location":{"id":"doi:10.1145/3410527","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3410527","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","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/A5005410211","display_name":"Yu Ju Chen","orcid":"https://orcid.org/0000-0002-7540-6246"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yu Ju (Edwin) Chen","raw_affiliation_strings":["University of British Columbia, Vancouver, Canada"],"raw_orcid":"https://orcid.org/0000-0002-7540-6246","affiliations":[{"raw_affiliation_string":"University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019584613","display_name":"Seung Heon Sheen","orcid":null},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Seung Heon Sheen","raw_affiliation_strings":["University of British Columbia, Vancouver, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030026541","display_name":"Uri M. Ascher","orcid":"https://orcid.org/0000-0002-5177-7181"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Uri M. Ascher","raw_affiliation_strings":["University of British Columbia, Vancouver, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057504177","display_name":"Dinesh K. Pai","orcid":"https://orcid.org/0000-0002-5115-7230"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dinesh K. Pai","raw_affiliation_strings":["University of British Columbia and Vital Mechanics Research, Vancouver, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of British Columbia and Vital Mechanics Research, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3772,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88535912,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"40","issue":"1","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9926000237464905,"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/computer-science","display_name":"Computer science","score":0.5839507579803467},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5373432040214539},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5166271328926086},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5084701776504517},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5004346370697021},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4376859664916992},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4296289384365082},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4247579872608185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.297527551651001},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2507810890674591},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1551184356212616}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5839507579803467},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5373432040214539},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5166271328926086},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5084701776504517},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5004346370697021},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4376859664916992},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4296289384365082},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4247579872608185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.297527551651001},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2507810890674591},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1551184356212616},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3410527","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3410527","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W67237221","https://openalex.org/W636856703","https://openalex.org/W1553886054","https://openalex.org/W1591473593","https://openalex.org/W2013967026","https://openalex.org/W2018931076","https://openalex.org/W2024243735","https://openalex.org/W2028212620","https://openalex.org/W2082043116","https://openalex.org/W2082232304","https://openalex.org/W2106565812","https://openalex.org/W2138428430","https://openalex.org/W2156410578","https://openalex.org/W2169055648","https://openalex.org/W2169437869","https://openalex.org/W2235036220","https://openalex.org/W2296520201","https://openalex.org/W2558648813","https://openalex.org/W2584355552","https://openalex.org/W2736651773","https://openalex.org/W2737753202","https://openalex.org/W2752576738","https://openalex.org/W2767169025","https://openalex.org/W2811415544","https://openalex.org/W2959139145","https://openalex.org/W4247858869"],"related_works":["https://openalex.org/W3208095355","https://openalex.org/W2052507016","https://openalex.org/W2180461068","https://openalex.org/W2177370417","https://openalex.org/W2051816080","https://openalex.org/W4310813911","https://openalex.org/W2156730189","https://openalex.org/W2358962854","https://openalex.org/W4312805195","https://openalex.org/W2111177161"],"abstract_inverted_index":{"Physics-based":[0],"simulation":[1],"methods":[2,77,118],"for":[3,99],"deformable":[4],"objects":[5],"suffer":[6],"limitations":[7],"due":[8],"to":[9,47,54,84,88,122,211],"the":[10,45,70,74,116,144,151,173,178,191,212,216],"conflicting":[11],"requirements":[12],"that":[13,114,177,183,198],"are":[14,82,127,184],"placed":[15],"on":[16,44],"them.":[17],"The":[18,154],"work":[19],"horse":[20],"semi-implicit":[21,110],"(SI)":[22],"backward":[23],"Euler":[24,80],"method":[25,111,180,193],"is":[26,33,156,170,223],"very":[27,100],"stable":[28,98],"and":[29,51,96,120,207],"inexpensive,":[30],"but":[31,91],"it":[32,59],"also":[34],"a":[35,108,138,195],"blunt":[36],"instrument.":[37],"It":[38],"applies":[39],"heavy":[40],"damping,":[41],"which":[42,142],"depends":[43],"timestep,":[46],"all":[48,89],"solution":[49,165],"modes":[50],"not":[52,200],"just":[53],"high-frequency":[55,213],"ones.":[56],"As":[57],"such,":[58],"makes":[60],"simulations":[61,182],"less":[62,97],"lively,":[63],"potentially":[64],"missing":[65],"important":[66],"animation":[67],"details.":[68],"At":[69],"other":[71],"end":[72],"of":[73,166,190,218,221],"scale,":[75],"exponential":[76,192],"(exponential":[78],"Rosenbrock":[79],"(ERE))":[81],"known":[83],"deliver":[85],"good":[86,128,187],"approximations":[87],"modes,":[90,147],"they":[92,126],"get":[93],"prohibitively":[94],"expensive":[95],"stiff":[101],"material.":[102],"In":[103],"this":[104],"article,":[105],"we":[106,133],"devise":[107],"hybrid,":[109],"called":[112],"SIERE":[113],"allows":[115],"previous":[117],"SI":[119,222],"ERE":[121,149],"each":[123,136],"perform":[124],"what":[125],"at.":[129],"To":[130],"do":[131],"this,":[132],"employ":[134],"at":[135,194],"timestep":[137],"partial":[139],"spectral":[140],"decomposition,":[141],"picks":[143],"lower,":[145],"leading":[146],"applying":[148],"in":[150],"corresponding":[152],"subspace.":[153],"rest":[155],"handled":[157],"(i.e.,":[158],"effectively":[159],"damped":[160],"out)":[161],"by":[162],"SI.":[163],"No":[164],"nonlinear":[167],"algebraic":[168],"equations":[169],"required":[171],"throughout":[172],"algorithm.":[174],"We":[175],"show":[176],"resulting":[179],"produces":[181],"visually":[185],"as":[186,188],"those":[189],"computational":[196],"price":[197],"does":[199],"increase":[201],"with":[202,209],"stiffness,":[203],"while":[204],"displaying":[205],"stability":[206],"damping":[208],"respect":[210],"modes.":[214],"Furthermore,":[215],"phenomenon":[217],"occasional":[219],"divergence":[220],"avoided.":[224]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2020-09-01T00:00:00"}