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Titlebook: Uncertainty Quantification and Predictive Computational Science; A Foundation for Phy Ryan G. McClarren Textbook 2018 Springer Nature Switz

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书目名称Uncertainty Quantification and Predictive Computational Science
副标题A Foundation for Phy
编辑Ryan G. McClarren
视频video
概述Organizes wide-ranging and interdisciplinary topics of uncertainty quantification from multiple sources into a single teaching text.Reviews the fundamentals of probability and statistics.Guides the tr
图书封面Titlebook: Uncertainty Quantification and Predictive Computational Science; A Foundation for Phy Ryan G. McClarren Textbook 2018 Springer Nature Switz
描述.This textbook teaches the essential background and skills for understanding and quantifying uncertainties in a computational simulation, and for predicting the behavior of a system under those uncertainties. It addresses a critical knowledge gap in the widespread adoption of simulation in high-consequence decision-making throughout the engineering and physical sciences...Constructing sophisticated techniques for prediction from basic building blocks, the book first reviews the fundamentals that underpin later topics of the book including probability, sampling, and Bayesian statistics. Part II focuses on applying Local Sensitivity Analysis to apportion uncertainty in the model outputs to sources of uncertainty in its inputs. Part III demonstrates techniques for quantifying the impact of parametric uncertainties on a problem, specifically how input uncertainties affect outputs. The final section covers techniques for applying uncertainty quantification to make predictions underuncertainty, including treatment of epistemic uncertainties. It presents the theory and practice of predicting the behavior of a system based on the aggregation of data from simulation, theory, and experiment.
出版日期Textbook 2018
关键词parametric uncertainty quantification; sensitivity analysis; Reliability Methods; Monte Carlo Methods; P
版次1
doihttps://doi.org/10.1007/978-3-319-99525-0
isbn_ebook978-3-319-99525-0
copyrightSpringer Nature Switzerland AG 2018
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Springer Nature Switzerland AG 2018
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Stochastic Projection and Collocation (polynomial chaos methods) and computational realizations of this using quadrature, collocation, and Galerkin projection. Sparse quadratures are also discussed to evaluate multiple dimensional integrals. The methods are applied to several PDEs including the Poisson’s equation and the Black-Scholes model.
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Uncertainty Quantification and Predictive Computational ScienceA Foundation for Phy
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Uncertainty Quantification and Predictive Computational Science978-3-319-99525-0
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wever, such commentary has also seen these complex interconnections misunderstood and oversimplified. At the very core of contemporary debates around young people’s online sexual practices, new technologies, social media, and childhood sexuality has been the phenomenon dubbed ‘sexting’. While sextin
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