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Table of contents

  1. Front Matter
    Pages i-xxv
  2. Introduction to Uncertainty Quantification

    1. Front Matter
      Pages 1-1
    2. Roger Ghanem, David Higdon, Houman Owhadi
      Pages 3-6
  3. Methodology

    1. Front Matter
      Pages 7-7
    2. Habib N. Najm, Kenny Chowdhary
      Pages 33-67
    3. Zhen Jiang, Paul D. Arendt, Daniel W. Apley, Wei Chen
      Pages 69-127
    4. Robert D. Moser, Todd A. Oliver
      Pages 129-156
    5. Houman Owhadi, Clint Scovel
      Pages 157-191
    6. Masoumeh Dashti, Andrew M. Stuart
      Pages 311-428
    7. Sankaran Mahadevan, Shankar Sankararaman, Chenzhao Li
      Pages 429-475
    8. Yijie Dylan Wang, C. F. Jeff Wu
      Pages 477-495
    9. Roger Ghanem, John Red-Horse
      Pages 521-551
  4. Forward Problems

    1. Front Matter
      Pages 553-553
    2. Ilias Bilionis, Nicholas Zabaras
      Pages 555-599
    3. Olivier P. Le Maı̂tre, Omar M. Knio
      Pages 637-672
    4. Dongbin Xiu
      Pages 699-716
    5. Max Gunzburger, Clayton G. Webster, Guannan Zhang
      Pages 717-762
    6. Daniel M. Tartakovsky, Pierre A. Gremaud
      Pages 763-783
    7. Youssef Marzouk, Tarek Moselhy, Matthew Parno, Alessio Spantini
      Pages 785-825
    8. Jerrad Hampton, Alireza Doostan
      Pages 827-855
    9. Michael S. Eldred, Leo W. T. Ng, Matthew F. Barone, Stefan P. Domino
      Pages 991-1036
    10. Daniele Venturi, Heyrim Cho, George Em Karniadakis
      Pages 1037-1073
    11. James L. Beck, Konstantin M. Zuev
      Pages 1075-1100
  5. Introduction to Sensitivity Analysis

    1. Front Matter
      Pages 1101-1101
    2. Bertrand Iooss, Andrea Saltelli
      Pages 1103-1122
    3. Maelle Nodet, Arthur Vidard
      Pages 1123-1142
    4. David C. Woods, Susan M. Lewis
      Pages 1143-1185
    5. William Becker, Paolo Paruolo, Michaela Saisana, Andrea Saltelli
      Pages 1187-1216
    6. Clémentine Prieur, Stefano Tarantola
      Pages 1217-1239
    7. Sergey Kucherenko, Bertrand Iooss
      Pages 1241-1263
    8. Emanuele Borgonovo, Bertrand Iooss
      Pages 1265-1287
    9. Loïc Le Gratiet, Stefano Marelli, Bruno Sudret
      Pages 1289-1325
    10. Amandine Marrel, Nathalie Saint-Geours, Matthias De Lozzo
      Pages 1327-1357
  6. Risk

  7. Codes of Practice and Factors of Safety

    1. Front Matter
      Pages 1501-1501

About this book

Introduction

The topic of Uncertainty Quantification (UQ) has witnessed massive developments in response to the promise of achieving risk mitigation through scientific prediction. It has led to the integration of ideas from mathematics, statistics and engineering being used to lend credence to predictive assessments of risk but also to design actions (by engineers, scientists and investors) that are consistent with risk aversion. The objective of this Handbook is to facilitate the dissemination of the forefront of UQ ideas to their audiences. We recognize that these audiences are varied, with interests ranging from theory to application, and from research to development and even execution.      

Keywords

Polynomial Chaos Risk Analysis Risk Models Sensitivity Analysis Uncertainty Quantification

Editors and affiliations

  • Roger Ghanem
    • 1
  • David Higdon
    • 2
  • Houman Owhadi
    • 3
  1. 1.Department of Civil and Environmental EngineeringUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.Social and Decision Analytics Laboratory, Virginia Bioinformatics InstituteVirginia Tech UniversityArlingtonUSA
  3. 3.Computing and Mathematical SciencesCalifornia Institute of TechnologyPasadenaUSA

Bibliographic information

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