{"id":"https://openalex.org/W2611302795","doi":"https://doi.org/10.1017/s0890060417000063","title":"Efficient simulation of threshold behavior","display_name":"Efficient simulation of threshold behavior","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2611302795","doi":"https://doi.org/10.1017/s0890060417000063","mag":"2611302795"},"language":"en","primary_location":{"id":"doi:10.1017/s0890060417000063","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0890060417000063","pdf_url":null,"source":{"id":"https://openalex.org/S4210193102","display_name":"Artificial intelligence for engineering design analysis and manufacturing","issn_l":"0890-0604","issn":["0890-0604","1469-1760"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Intelligence for Engineering Design, Analysis and Manufacturing","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/A5062773518","display_name":"Dominic Kohler","orcid":null},"institutions":[{"id":"https://openalex.org/I1325886976","display_name":"Siemens (Germany)","ror":"https://ror.org/059mq0909","country_code":"DE","type":"company","lineage":["https://openalex.org/I1325886976"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominic Kohler","raw_affiliation_strings":["Energy Management Department, Siemens, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Energy Management Department, Siemens, Erlangen, Germany","institution_ids":["https://openalex.org/I1325886976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060996213","display_name":"Johannes M\u00fcller","orcid":"https://orcid.org/0000-0001-5892-8598"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes M\u00fcller","raw_affiliation_strings":["Technical University of Munich, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029426499","display_name":"Birgit Obst","orcid":null},"institutions":[{"id":"https://openalex.org/I1325886976","display_name":"Siemens (Germany)","ror":"https://ror.org/059mq0909","country_code":"DE","type":"company","lineage":["https://openalex.org/I1325886976"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Birgit Obst","raw_affiliation_strings":["Department of Corporate Technology, Siemens, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Corporate Technology, Siemens, Munich, Germany","institution_ids":["https://openalex.org/I1325886976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015093225","display_name":"Utz Wever","orcid":"https://orcid.org/0000-0001-7399-0306"},"institutions":[{"id":"https://openalex.org/I1325886976","display_name":"Siemens (Germany)","ror":"https://ror.org/059mq0909","country_code":"DE","type":"company","lineage":["https://openalex.org/I1325886976"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Utz Wever","raw_affiliation_strings":["Department of Corporate Technology, Siemens, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Corporate Technology, Siemens, Munich, Germany","institution_ids":["https://openalex.org/I1325886976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015093225"],"corresponding_institution_ids":["https://openalex.org/I1325886976"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04773286,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"2","first_page":"173","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9240000247955322,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8891394138336182},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.7436710000038147},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6585948467254639},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6390513181686401},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5961310267448425},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.560845136642456},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5587596893310547},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5556857585906982},{"id":"https://openalex.org/keywords/physical-law","display_name":"Physical law","score":0.5211779475212097},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.47255370020866394},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.46639248728752136},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4481278955936432},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42938077449798584},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32675421237945557},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3013002276420593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2504749596118927},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1439598798751831},{"id":"https://openalex.org/keywords/civil-engineering","display_name":"Civil engineering","score":0.09358996152877808},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08917176723480225},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07285591959953308}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8891394138336182},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.7436710000038147},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6585948467254639},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6390513181686401},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5961310267448425},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.560845136642456},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5587596893310547},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5556857585906982},{"id":"https://openalex.org/C194583477","wikidata":"https://www.wikidata.org/wiki/Q408891","display_name":"Physical law","level":2,"score":0.5211779475212097},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.47255370020866394},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.46639248728752136},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4481278955936432},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42938077449798584},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32675421237945557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3013002276420593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2504749596118927},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1439598798751831},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.09358996152877808},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08917176723480225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07285591959953308},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0890060417000063","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0890060417000063","pdf_url":null,"source":{"id":"https://openalex.org/S4210193102","display_name":"Artificial intelligence for engineering design analysis and manufacturing","issn_l":"0890-0604","issn":["0890-0604","1469-1760"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Intelligence for Engineering Design, Analysis and Manufacturing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6000000238418579,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W234899517","https://openalex.org/W355012799","https://openalex.org/W1538934584","https://openalex.org/W1563228704","https://openalex.org/W1992965184","https://openalex.org/W2000270556","https://openalex.org/W2050892975","https://openalex.org/W2074388175","https://openalex.org/W2103097399","https://openalex.org/W2105019831","https://openalex.org/W2130416410","https://openalex.org/W2168237502","https://openalex.org/W3101036325","https://openalex.org/W3108697635","https://openalex.org/W4292512159","https://openalex.org/W4298209087","https://openalex.org/W6650441025","https://openalex.org/W6948231369"],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W2375549870","https://openalex.org/W4376632515","https://openalex.org/W1632811932","https://openalex.org/W3047673750","https://openalex.org/W2085563777","https://openalex.org/W2159753231","https://openalex.org/W998272608","https://openalex.org/W294548094","https://openalex.org/W2066625432"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"paper":[2],"discusses":[3],"a":[4,49],"new":[5],"method":[6,35,88,97],"for":[7],"the":[8,19,23,34,37,40,74,87,96,107,112,126,129],"propagation":[9,91],"of":[10,22,39,51,77,89,95,101,114,128],"risk":[11],"levels.":[12],"This":[13],"discretization":[14],"takes":[15],"place":[16],"by":[17,56],"considering":[18],"phase":[20,109],"space":[21,110],"state":[24,41],"and":[25,53,66,111,122],"its":[26],"subdivision":[27],"into":[28],"boxes.":[29],"In":[30],"each":[31],"time":[32],"step,":[33],"computes":[36],"probability":[38],"being":[42],"in":[43,80,92,106,125],"one":[44],"box.":[45],"We":[46],"start":[47],"with":[48],"variety":[50],"technical":[52,75],"physical":[54],"problems":[55],"showing":[57],"how":[58],"discrete":[59],"modeling":[60,100],"under":[61],"uncertainties":[62],"is":[63],"technically":[64],"meaningful":[65],"often":[67],"even":[68],"problem":[69,76],"inherent.":[70],"Then":[71],"we":[72,85],"select":[73],"contaminant":[78,102],"spread":[79],"water":[81],"grids,":[82],"to":[83],"which":[84],"apply":[86],"risk-level":[90],"depth.":[93],"Extensions":[94],"such":[98],"as":[99],"mixing":[103],"at":[104],"junctions":[105],"discretized":[108],"applicability":[113],"conservation":[115],"laws":[116],"arise":[117],"naturally":[118],"along":[119],"these":[120],"lines":[121],"are":[123],"discussed":[124],"context":[127],"general":[130],"theory.":[131]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
