Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering (Interdisciplinary Applied Mathematics)
暫譯: 不確定性量化:計算工程中的加速課程與進階應用(跨學科應用數學)

Christian Soize

  • 出版商: Springer
  • 出版日期: 2018-07-25
  • 售價: $3,050
  • 貴賓價: 9.5$2,898
  • 語言: 英文
  • 頁數: 352
  • 裝訂: Paperback
  • ISBN: 3319853724
  • ISBN-13: 9783319853727
  • 海外代購書籍(需單獨結帳)

商品描述

This book presents the fundamental notions and advanced mathematical tools in the stochastic modeling of uncertainties and their quantification for large-scale computational models in sciences and engineering. In particular, it focuses in parametric uncertainties, and non-parametric uncertainties with applications from the structural dynamics and vibroacoustics of complex mechanical systems, from micromechanics and multiscale mechanics of heterogeneous materials. 

Resulting from a course developed by the author, the book begins with a description of the fundamental mathematical tools of probability and statistics that are directly useful for uncertainty quantification. It proceeds with a well carried out description of some basic and advanced methods for constructing stochastic models of uncertainties, paying particular attention to the problem of calibrating and identifying a stochastic model of uncertainty when experimental data is available. 

This book is intended to be a graduate-level textbook for students as well as professionals interested in the theory, computation, and applications of risk and prediction in science and engineering fields.

商品描述(中文翻譯)

本書介紹了隨機建模中不確定性的基本概念和先進數學工具,以及它們在科學和工程的大規模計算模型中的量化。特別地,本書專注於參數不確定性和非參數不確定性,並應用於複雜機械系統的結構動力學和振動聲學,以及異質材料的微觀力學和多尺度力學。

本書源自作者開發的一門課程,首先描述了對不確定性量化直接有用的概率和統計的基本數學工具。接著,詳細介紹了一些基本和先進的方法,用於構建不確定性的隨機模型,特別關注在有實驗數據可用時,如何校準和識別不確定性的隨機模型的問題。

本書旨在作為研究生級別的教科書,適合對科學和工程領域中的風險和預測的理論、計算和應用感興趣的學生和專業人士。