說明 
1 online resource (xxviii, 621 pages) : illustrations (some color), digital ; 24 cm 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
附註 
Introduction  The Classical Inverse Problem  The GaussNewton Method  Multiobjective Inversion and Regularization  Statistical Methods for Parameter Estimation  Model Differentiation  Model Dimension Reduction  Development of DataDriven Models  Data Assimilation for Inversion  Model Uncertainty Quantification  Optimal Experimental Design  GoalOriented Modeling 

This threepart book provides a comprehensive and systematic introduction to the development of useful models for complex systems. Part 1 covers the classical inverse problem for parameter estimation in both deterministic and statistical frameworks, Part 2 is dedicated to system identification, hyperparameter estimation, and model dimension reduction, and Part 3 considers how to collect data and construct reliable models for prediction and decisionmaking. For the first time, topics such as multiscale inversion, stochastic field parameterization, level set method, machine learning, global sensitivity analysis, data assimilation, model uncertainty quantification, robust design, and goaloriented modeling, are systematically described and summarized in a single book from the perspective of model inversion, and elucidated with numerical examples from environmental and water resources modeling. Readers of this book will not only learn basic concepts and methods for simple parameter estimation, but also get familiar with advanced methods for modeling complex systems. Algorithms for mathematical tools used in this book, such as numerical optimization, automatic differentiation, adaptive parameterization, hierarchical Bayesian, metamodeling, Markov chain Monte Carlo, are covered in details. This book can useful for graduate and upper level undergraduate students majoring in environmental engineering, hydrology, and geosciences. It also serves as an essential reference book for petroleum engineers, mining engineers, chemists, mechanical engineers, ecologists, biomedical engineers, applied mathematicians, and others who perform mathematical modeling 
Host Item 
Springer eBooks

主題 
Mathematical models


Mathematics


Mathematical Modeling and Industrial Mathematics


Hydrogeology


Math. Applications in Chemistry

Alt Author 
Sun, Alexander, author


SpringerLink (Online service)

