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Fundamentals of Uncertainty Quantification for Engineers
Methods and Models
- 1st Edition - October 1, 2024
- Authors: Yan Wang, Anh.V. Tran, David L. Mcdowell
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 1 3 6 6 1 - 0
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 1 3 6 6 2 - 7
Fundamentals of Uncertainty Quantification for Engineers: Methods and Models provides a comprehensive introduction to uncertainty quantification (UQ) accompanied by a wide vari… Read more
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Request a sales quoteFundamentals of Uncertainty Quantification for Engineers: Methods and Models provides a comprehensive introduction to uncertainty quantification (UQ) accompanied by a wide variety of applied examples, implementation details, and practical exercises to reinforce the concepts outlined in the book. Sections start with a review of the history of probability theory and recent developments of UQ methods in the domains of applied mathematics and data science. Major concepts of probability axioms, conditional probability, and Bayes’ rule are discussed and examples of probability distributions in parametric data analysis, reliability, risk analysis, and materials informatics are included.
Random processes, sampling methods, and surrogate modeling techniques including multivariate polynomial regression, Gaussian process regression, multi-fidelity surrogate, support-vector machine, and decision tress are also covered. Methods for model selection, calibration, and validation are introduced next, followed by chapters on sensitivity analysis, stochastic expansion methods, Markov models, and non-probabilistic methods. The book concludes with a chapter describing the methods that can be used to predict UQ in systems, such as Monte Carlo, stochastic expansion, upscaling, Langevin dynamics, and inverse problems, with example applications in multiscale modeling, simulations, and materials design.
- Introduces all major topics of uncertainty quantification with engineering examples, implementation details, and practical exercises provided in all chapters
- Features examples from a wide variety of science and engineering disciplines (e.g. aerospace, mechanical, material, manufacturing, multiscale simulation)
- Discusses materials informatics, sampling methods, surrogate modeling techniques, decision tress, multivariate polynomial regression, and more
Graduate students, engineers, and researchers. Researchers and industry practitioners who are interested in learning the fundamentals of uncertainty quantification methods and their applications engineering and sciences
1. Introduction to Uncertainty Quantification for Engineers
2. Probability and Statistics in Uncertainty Quantification
3. Random Processes in Uncertainty Quantification
4. Sampling Methods in Uncertainty Quantification
5. Surrogate Modeling in Uncertainty Quantification
6. Model Selection, Calibration, and Validation in Uncertainty Quantification
7. Sensitivity Analysis in Uncertainty Quantification
8. Stochastic Expansion Methods in Uncertainty Quantification
9. Markov Models
10. Non‐Probabilistic Methods in Uncertainty Quantification
11. Uncertainty propagation in Uncertainty Quantification
2. Probability and Statistics in Uncertainty Quantification
3. Random Processes in Uncertainty Quantification
4. Sampling Methods in Uncertainty Quantification
5. Surrogate Modeling in Uncertainty Quantification
6. Model Selection, Calibration, and Validation in Uncertainty Quantification
7. Sensitivity Analysis in Uncertainty Quantification
8. Stochastic Expansion Methods in Uncertainty Quantification
9. Markov Models
10. Non‐Probabilistic Methods in Uncertainty Quantification
11. Uncertainty propagation in Uncertainty Quantification
- No. of pages: 600
- Language: English
- Edition: 1
- Published: October 1, 2024
- Imprint: Elsevier
- Paperback ISBN: 9780443136610
YW
Yan Wang
Dr. Yan Wang is a Professor of Mechanical Engineering at the Georgia Institute of Technology. He leads the Multiscale Systems Engineering Research Group at Georgia Tech. His research interests include probabilistic and non‐probabilistic approaches to quantify uncertainty in both physics‐based and data‐driven models for multiscale systems engineering for materials design. He has over 200 publications, including the first book on uncertainty quantification in multiscale materials modelling co‐edited with David McDowell.
Affiliations and expertise
Professor of Mechanical Engineering, Georgia Institute of Technology, USA.AT
Anh.V. Tran
Dr. Anh V. Tran is a research staff member at the Department of Scientific Machine Learning, Sandia National Laboratories. His research areas include uncertainty quantification, optimization, machine learning for multiscale computational materials science.
Affiliations and expertise
Research Staff Member, Department of Scientific Machine Learning, Sandia National Laboratories, USA.DM
David L. Mcdowell
Dr. David L. McDowell is Regents’ Professor and Carter N. Paden, Jr. Distinguished Chair in Metals Processing in the Woodruff School of Mechanical Engineering, with joint appointment in the School of Materials Science and Engineering at the Georgia Institute of Technology. His research focuses on multiscale modelling of materials, microstructure‐sensitive computational fatigue analysis of microstructures, methods for materials design that are robust against uncertainty, and coarse‐grained atomistic modelling methods.
Affiliations and expertise
Regents’ Professor and Carter N. Paden, Jr. Distinguished, Chair in Metals Processing, Woodruff School of Mechanical Engineering, USA.