什么是对数学模型的灵敏度分析以及方法?-查字典问答网
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  什么是对数学模型的灵敏度分析以及方法?

  什么是对数学模型的灵敏度分析以及方法?

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2020-07-27 14:05
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  Amathematicalmodelisdefinedbyaseriesofequations,inputvariablesandparametersaimedatcharacterizingsomeprocessunderinvestigation.Someexamplesmightbeaclimatemodel,aneconomicmodel,orafiniteelementmodelinengineering.Increasingly,suchmodelsarehighlycomplex,andasaresulttheirinput/outputrelationshipsmaybepoorlyunderstood.Insuchcases,themodelcanbeviewedasablackbox,i.e.theoutputisanopaquefunctionofitsinputs.

  Quiteoften,someorallofthemodelinputsaresubjecttosourcesofuncertainty,includingerrorsofmeasurement,absenceofinformationandpoororpartialunderstandingofthedrivingforcesandmechanisms.Thisuncertaintyimposesalimitonourconfidenceintheresponseoroutputofthemodel.Further,modelsmayhavetocopewiththenaturalintrinsicvariabilityofthesystem(aleatory),suchastheoccurrenceofstochasticevents[3]

  Goodmodelingpracticerequiresthatthemodelerprovidesanevaluationoftheconfidenceinthemodel.Thisrequires,first,aquantificationoftheuncertaintyinanymodelresults(uncertaintyanalysis);andsecond,anevaluationofhowmucheachinputiscontributingtotheoutputuncertainty.Sensitivityanalysisaddressesthesecondoftheseissues(althoughuncertaintyanalysisisusuallyanecessaryprecursor),performingtheroleoforderingbyimportancethestrengthandrelevanceoftheinputsindeterminingthevariationintheoutput.[1]

  Inmodelsinvolvingmanyinputvariables,sensitivityanalysisisanessentialingredientofmodelbuildingandqualityassurance.Nationalandinternationalagenciesinvolvedinimpactassessmentstudieshaveincludedsectionsdevotedtosensitivityanalysisintheirguidelines.ExamplesaretheEuropeanCommission(seee.g.theguidelinesforimpactassessment),theWhiteHouseOfficeofManagementandBudget,theIntergovernmentalPanelonClimateChangeandUSEnvironmentalProtectionAgency'smodellingguidelines.

  维基给的

2020-07-27 14:09:16

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