finelybook
A Toolbox for Digital Twins: From Model-Based to Data-Driven
by Mark Asch(Author)
Publisher Finelybook 出版社: SIAM - Society for Industrial and Applied Mathematics (August 4, 2022)
Language 语言: English
pages 页数: 856 pages
ISBN-10 书号: 1611976960
ISBN-13 书号: 9781611976960
Book Description
This book brings together the mathematical and numerical frameworks needed for developing digital twins. Starting from the basics―probability, statistics, numerical methods, optimization, and machine learning―and moving on to data assimilation, inverse problems, and Bayesian uncertainty quantification, the book provides a comprehensive toolbox for digital twins. Emphasis is also placed on the design process, denoted as the “inference cycle,” the aim of which is to propose a global methodology for complex problems. Readers will find guidelines and decision trees to help them choose the right tools for the job; a comprehensive reference section with all recent methods, covering both model-based and data-driven approaches; a vast selection of examples and all accompanying code; and a companion website containing updates, case studies, and extended material. A Toolbox for Digital Twins: From Model-Based to Data-Driven is for researchers and engineers, engineering students, and scientists in any domain where data and models need to be coupled to produce digital twins.
Table of contents
Part I:The FOUNDATIONS of Digital Twins-the Tools
Chapter 1:An Introduction to Digital Twins
Chapter 2:Probability and Statistics
Chapter 3:Model Simulation
Chapter 4:Optimization
Chapter 5:Machine Learning
Chapter 6:Functional Data Analysis
Chapter 7:Controllability,Observability,and Identifiability
Part ll:The CONSTRUCTION of Digital Twins-the Methods
Chapter 8:Inverse Problems
Chapter 9:Data Assimilation
Chapter 10:Reduced-Order Methods
Chapter 11:Bayesian Analysis and Uncertainty Quantification for Direct and Inverse Modeling
Chapter 12:Causality
Chapter 13:Scientific Machine Learning
Chapter 14:Tools and Methodologies for Digital Twins
Part Ill:The REALIZATIONS of Digital Twins-the Applications
Chapter 15:Toy Cases
Chapter 16:Personalized Medicine
Chapter 17:Environmental Surveillance and Monitoring
Chapter 18:Industrial Use Cases
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