Handbook of Uncertainty Quantification
Edited by Roger Ghanem (),
David Higdon () and
Houman Owhadi ()
in Springer Books from Springer
Date: 2017
ISBN: 978-3-319-12385-1
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Chapters in this book:
- Ch 1 Introduction to Uncertainty Quantification
- Roger Ghanem, David Higdon and Houman Owhadi
- Ch 2 Bayes Linear Emulation, History Matching, and Forecasting for Complex Computer Simulators
- Michael Goldstein and Nathan Huntley
- Ch 3 Inference Given Summary Statistics
- Habib N. Najm and Kenny Chowdhary
- Ch 4 Multi-response Approach to Improving Identifiability in Model Calibration
- Zhen Jiang, Paul D. Arendt, Daniel W. Apley and Wei Chen
- Ch 5 Validation of Physical Models in the Presence of Uncertainty
- Robert D. Moser and Todd A. Oliver
- Ch 6 Toward Machine Wald
- Houman Owhadi and Clint Scovel
- Ch 7 Hierarchical Models for Uncertainty Quantification: An Overview
- Christopher K. Wikle
- Ch 8 Random Matrix Models and Nonparametric Method for Uncertainty Quantification
- Christian Soize
- Ch 9 Maximin Sliced Latin Hypercube Designs with Application to Cross Validating Prediction Error
- Yan Chen, David M. Steinberg and Peter Qian
- Ch 10 The Bayesian Approach to Inverse Problems
- Masoumeh Dashti and Andrew M. Stuart
- Ch 11 Multilevel Uncertainty Integration
- Sankaran Mahadevan, Shankar Sankararaman and Chenzhao Li
- Ch 12 Bayesian Cubic Spline in Computer Experiments
- Yijie Dylan Wang and C. F. Jeff Wu
- Ch 13 Propagation of Stochasticity in Heterogeneous Media and Applications to Uncertainty Quantification
- Guillaume Bal
- Ch 14 Polynomial Chaos: Modeling, Estimation, and Approximation
- Roger Ghanem and John Red-Horse
- Ch 15 Bayesian Uncertainty Propagation Using Gaussian Processes
- Ilias Bilionis and Nicholas Zabaras
- Ch 16 Solution Algorithms for Stochastic Galerkin Discretizations of Differential Equations with Random Data
- Howard Elman
- Ch 17 Intrusive Polynomial Chaos Methods for Forward Uncertainty Propagation
- Bert Debusschere
- Ch 18 Multiresolution Analysis for Uncertainty Quantification
- Olivier P. Le Maı̂tre and Omar M. Knio
- Ch 19 Surrogate Models for Uncertainty Propagation and Sensitivity Analysis
- Khachik Sargsyan
- Ch 20 Stochastic Collocation Methods: A Survey
- Dongbin Xiu
- Ch 21 Sparse Collocation Methods for Stochastic Interpolation and Quadrature
- Max Gunzburger, Clayton G. Webster and Guannan Zhang
- Ch 22 Method of Distributions for Uncertainty Quantification
- Daniel M. Tartakovsky and Pierre A. Gremaud
- Ch 23 Sampling via Measure Transport: An Introduction
- Youssef Marzouk, Tarek Moselhy, Matthew Parno and Alessio Spantini
- Ch 24 Compressive Sampling Methods for Sparse Polynomial Chaos Expansions
- Jerrad Hampton and Alireza Doostan
- Ch 25 Low-Rank Tensor Methods for Model Order Reduction
- Anthony Nouy
- Ch 26 Random Vectors and Random Fields in High Dimension: Parametric Model-Based Representation, Identification from Data, and Inverse Problems
- Christian Soize
- Ch 27 Model Order Reduction Methods in Computational Uncertainty Quantification
- Peng Chen and Christoph Schwab
- Ch 28 Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models
- Michael S. Eldred, Leo W. T. Ng, Matthew F. Barone and Stefan P. Domino
- Ch 29 Mori-Zwanzig Approach to Uncertainty Quantification
- Daniele Venturi, Heyrim Cho and George Em Karniadakis
- Ch 30 Rare-Event Simulation
- James L. Beck and Konstantin M. Zuev
- Ch 31 Introduction to Sensitivity Analysis
- Bertrand Iooss and Andrea Saltelli
- Ch 32 Variational Methods
- Maelle Nodet and Arthur Vidard
- Ch 33 Design of Experiments for Screening
- David C. Woods and Susan M. Lewis
- Ch 34 Weights and Importance in Composite Indicators: Mind the Gap
- William Becker, Paolo Paruolo, Michaela Saisana and Andrea Saltelli
- Ch 35 Variance-Based Sensitivity Analysis: Theory and Estimation Algorithms
- Clémentine Prieur and Stefano Tarantola
- Ch 36 Derivative-Based Global Sensitivity Measures
- Sergey Kucherenko and Bertrand Iooss
- Ch 37 Moment-Independent and Reliability-Based Importance Measures
- Emanuele Borgonovo and Bertrand Iooss
- Ch 38 Metamodel-Based Sensitivity Analysis: Polynomial Chaos Expansions and Gaussian Processes
- Loïc Le Gratiet, Stefano Marelli and Bruno Sudret
- Ch 39 Sensitivity Analysis of Spatial and/or Temporal Phenomena
- Amandine Marrel, Nathalie Saint-Geours and Matthias De Lozzo
- Ch 40 Decision Analytic and Bayesian Uncertainty Quantification for Decision Support
- D. Warner North
- Ch 41 Validation, Verification, and Uncertainty Quantification for Models with Intelligent Adversaries
- Jing Zhang and Jun Zhuang
- Ch 42 Robust Design and Uncertainty Quantification for Managing Risks in Engineering
- Ron Bates
- Ch 43 Quantifying and Reducing Uncertainty About Causality in Improving Public Health and Safety
- Louis Anthony Cox
- Ch 44 Conceptual Structure of Performance Assessments for Geologic Disposal of Radioactive Waste
- Jon C. Helton, Clifford W. Hansen and Cédric J. Salaberry
- Ch 45 Redundancy of Structures and Fatigue of Bridges and Ships Under Uncertainty
- Dan M. Frangopol, Benjin Zhu and Mohamed Soliman
- Ch 46 Uncertainty Approaches in Ship Structural Performance
- Matthew Collette
- Ch 47 Uncertainty Quantification’s Role in Modeling and Simulation Planning, and Credibility Assessment Through the Predictive Capability Maturity Model
- W. J. Rider, W. R. Witkowski and Vincent A. Mousseau
- Ch 48 Uncertainty Quantification in a Regulatory Environment
- Vincent A. Mousseau and Brian J. Williams
- Ch 49 Dakota: Bridging Advanced Scalable Uncertainty Quantification Algorithms with Production Deployment
- Laura P. Swiler, Michael S. Eldred and Brian M. Adams
- Ch 50 Problem Solving Environment for Uncertainty Analysis and Design Exploration
- Charles Tong
- Ch 51 Probabilistic Analysis Using NESSUS (Numerical Evaluation of Stochastic Structures Under Stress)
- John M. McFarland and David S. Riha
- Ch 52 Embedded Uncertainty Quantification Methods via Stokhos
- Eric T. Phipps and Andrew G. Salinger
- Ch 53 Uncertainty Quantification Toolkit (UQTk)
- Bert Debusschere, Khachik Sargsyan, Cosmin Safta and Kenny Chowdhary
- Ch 54 The Parallel C++ Statistical Library for Bayesian Inference: QUESO
- Damon McDougall, Nicholas Malaya and Robert D. Moser
- Ch 55 Gaussian Process-Based Sensitivity Analysis and Bayesian Model Calibration with GPMSA
- James Gattiker, Kary Myers, Brian J. Williams, Dave Higdon, Marcos Carzolio and Andrew Hoegh
- Ch 56 COSSAN: A Multidisciplinary Software Suite for Uncertainty Quantification and Risk Management
- Edoardo Patelli
- Ch 57 SIMLAB Software for Uncertainty and Sensitivity Analysis
- Stefano Tarantola and William Becker
- Ch 58 OpenTURNS: An Industrial Software for Uncertainty Quantification in Simulation
- Michaël Baudin, Anne Dutfoy, Bertrand Iooss and Anne-Laure Popelin
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DOI: 10.1007/978-3-319-12385-1
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