Probabilistic collocation method for strongly nonlinear problems: 3.   Transform by time

doi:10.1002/2015WR017724

CORC > 北京大学 > 工学院

	Probabilistic collocation method for strongly nonlinear problems: 3. Transform by time
	Liao, Qinzhuo ; Zhang, Dongxiao
刊名	WATER RESOURCES RESEARCH
	2016
关键词	uncertainty quantification probabilistic collocation method transform by time nonlinear problems POLYNOMIAL CHAOS EXPANSION GLOBAL SENSITIVITY-ANALYSIS MONTE-CARLO SIMULATIONS UNCERTAINTY QUANTIFICATION DIFFERENTIAL-EQUATIONS CONTAMINANT TRANSPORT RISK-ASSESSMENT EFFICIENT FLOW MEDIA
DOI	10.1002/2015WR017724
英文摘要	The probabilistic collocation method (PCM) has drawn wide attention for stochastic analysis recently. Its results may become inaccurate in case of a strongly nonlinear relation between random parameters and model responses. To tackle this problem, we proposed a location-based transformed PCM (xTPCM) and a displacement-based transformed PCM (dTPCM) in previous parts of this series. Making use of the transform between response and space, the above two methods, however, have certain limitations. In this study, we introduce a time-based transformed PCM (tTPCM) employing the transform between response and time. We conduct numerical experiments to investigate its performance in uncertainty quantification. The results show that the tTPCM greatly improves the accuracy of the traditional PCM in a cost-effective manner and is more general and convenient than the xTPCM/dTPCM.; National Natural Science Foundation of China [U1262204]; Ministry of Land and Resources of China [201211063]; National Science and Technology Major Project of China [2011ZX05009-006, 2011ZX05052]; National Key Technology R&D Program of China [2012BAC24B02]; SCI(E); EI; ARTICLE; dxz@pku.edu.cn; 3; 2366-2375; 52
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/437647]
专题	工学院
推荐引用方式 GB/T 7714	Liao, Qinzhuo,Zhang, Dongxiao. Probabilistic collocation method for strongly nonlinear problems: 3. Transform by time[J]. WATER RESOURCES RESEARCH,2016.
APA	Liao, Qinzhuo,&Zhang, Dongxiao.(2016).Probabilistic collocation method for strongly nonlinear problems: 3. Transform by time.WATER RESOURCES RESEARCH.
MLA	Liao, Qinzhuo,et al."Probabilistic collocation method for strongly nonlinear problems: 3. Transform by time".WATER RESOURCES RESEARCH (2016).