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v | |
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xiii | |
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xix | |
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Part I Introduction to Uncertainty Quantification |
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1 | (6) |
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1 Introduction to Uncertainty Quantification |
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3 | (4) |
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7 | (546) |
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2 Bayes Linear Emulation, History Matching and Forecasting for Complex Computer Simulators |
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9 | (24) |
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3 Inference Given Summary Statistics |
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33 | (36) |
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4 Multi-response Approach to Improving Identifiability in Model Calibration |
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69 | (60) |
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5 Validation of Physical Models in the Presence of Uncertainty |
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129 | (28) |
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157 | (36) |
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7 Hierarchical Models for Uncertainty Quantification: An Overview |
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193 | (26) |
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8 Random Matrix Models and Nonparametric Method for Uncertainty Quantification |
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219 | (70) |
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9 Maximin Sliced Latin Hypercube Designs with Application to Cross Validating Prediction Error |
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289 | (22) |
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10 The Bayesian Approach to Inverse Problems |
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311 | (118) |
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11 Multilevel Uncertainty Integration |
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429 | (48) |
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12 Bayesian Cubic Spline in Computer Experiments |
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477 | (20) |
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13 Propagation of Stochasticity in Heterogeneous Media and Applications to Uncertainty Quantification |
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497 | (24) |
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14 Polynomial Chaos: Modeling, Estimation and Approximation |
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521 | (32) |
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| Volume 2 |
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Part III Forward Problems |
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553 | (548) |
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15 Bayesian Uncertainty Propagation Using Gaussian Processes |
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555 | (46) |
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16 Solution Algorithms for Stochastic Galerkin Discretizations of Differential Equations with Random Data |
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601 | (16) |
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17 Intrusive Polynomial Chaos Methods for Forward Uncertainty Propagation |
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617 | (20) |
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18 Multiresolution Analysis for Uncertainty Quantification |
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637 | (36) |
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19 Surrogate Models for Uncertainty Propagation and Sensitivity Analysis |
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673 | (26) |
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20 Stochastic Collocation Methods: A Survey |
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699 | (18) |
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21 Sparse Collocation Methods for Stochastic Interpolation and Quadrature |
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717 | (46) |
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22 Method of Distributions for Uncertainty Quantification |
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763 | (22) |
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23 Sampling via Measure Transport: An Introduction |
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785 | (42) |
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24 Compressive Sampling Methods for Sparse Polynomial Chaos Expansions |
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827 | (30) |
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25 Low-Rank Tensor Methods for Model Order Reduction |
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857 | (26) |
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26 Random Vectors and Random Fields in High Dimension: Parametric Model-Based Representation, Identification from Data and Inverse Problems |
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883 | (54) |
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27 Model Order Reduction Methods in Computational Uncertainty Quantification |
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937 | (54) |
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28 Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models |
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991 | (46) |
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29 Mori-Zwanzig Approach to Uncertainty Quantification |
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1037 | (38) |
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1075 | (26) |
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Part IV Introduction to Sensitivity Analysis |
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1101 | (258) |
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31 Introduction to Sensitivity Analysis |
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1103 | (20) |
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1123 | (20) |
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33 Design of Experiments for Screening |
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1143 | (44) |
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34 Weights and Importance in Composite Indicators: Mind the Gap |
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1187 | (30) |
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35 Variance-Based Sensitivity Analysis: Theory and Estimation Algorithms |
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1217 | (24) |
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36 Derivative-Based Global Sensitivity Measures |
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1241 | (24) |
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37 Moment-Independent and Reliability-Based Importance Measures |
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1265 | (24) |
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38 Metamodel-Based Sensitivity Analysis: Polynomial Chaos Expansions and Gaussian Processes |
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1289 | (38) |
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39 Sensitivity Analysis of Spatial and/or Temporal Phenomena |
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1327 | (32) |
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| Volume 3 |
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1359 | (142) |
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40 Decision Analytic and Bayesian Uncertainty Quantification for Decision Support |
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1361 | (40) |
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41 Validation, Verification and Uncertainty Quantification for Models with Intelligent Adversaries |
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1401 | (20) |
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42 Robust Design and Uncertainty Quantification for Managing Risks in Engineering |
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1421 | (16) |
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43 Quantifying and Reducing Uncertainty About Causality in Improving Public Health and Safety |
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1437 | (64) |
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Part VI Codes of Practice and Factors of Safety |
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1501 | (148) |
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44 Conceptual Structure of Performance Assessments for Geologic Disposal of Radioactive Waste |
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1503 | (38) |
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45 Redundancy of Structures and Fatigue of Bridges and Ships Under Uncertainty |
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1541 | (26) |
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46 Uncertainty Approaches in Ship Structural Performance |
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1567 | (22) |
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47 Uncertainty Quantification's Role in Modeling and Simulation Planning and Credibility Assessment Through the Predictive Capability Maturity Model |
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1589 | (24) |
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48 Uncertainty Quantification in a Regulatory Environment |
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1613 | (36) |
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Part VII Introduction to Software for Uncertainty Quantification |
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1649 | (390) |
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49 Dakota: Bridging Advanced Scalable Uncertainty Quantification Algorithms with Production Deployment |
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1651 | (44) |
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50 Problem Solving Environment for Uncertainty Analysis and Design Exploration |
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1695 | (38) |
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51 Probabilistic Analysis Using NESSUS (Numerical Evaluation of Stochastic Structures Under Stress) |
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1733 | (32) |
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52 Embedded Uncertainty Quantification Methods via Stokhos |
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1765 | (42) |
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53 Uncertainty Quantification Toolkit (UQTk) |
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1807 | (22) |
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54 The Parallel C++ Statistical Library for Bayesian Inference: QUESO |
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1829 | (38) |
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55 Gaussian Process-Based Sensitivity Analysis and Bayesian Model Calibration with GPMSA |
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1867 | (42) |
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56 COSSAN: A Multidisciplinary Software Suite for Uncertainty Quantification and Risk Management |
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1909 | (70) |
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57 SIMLAB Software for Uncertainty and Sensitivity Analysis |
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1979 | (22) |
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58 OpenTURNS: An Industrial Software for Uncertainty Quantification in Simulation |
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2001 | (38) |
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| Index |
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2039 | |
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