Large-Scale Inverse Problems and Quantification of Uncertainty by Bani Mallick, Luis Tenorio, David Keyes, Karen Willcox, Youssef Marzouk, Omar Ghattas, Matthias Heinkenschloss, Lorenz Biegler, Bart van Bloemen Waanders, George Biros (Hardcover, 2010)
This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and optimization-based approaches to solving inverse problems. The aim is to cross-fertilize the perspectives of researchers in the areas of data assimilation, statistics, large-scale optimization, applied and computational mathematics, high performance computing, and cutting-edge applications. The solution to large-scale inverse problems critically depends on methods to reduce computational cost. Recent research approaches tackle this challenge in a variety of different ways. Many of the computational frameworks highlighted in this book build upon state-of-the-art methods for simulation of the forward problem, such as, fast Partial Differential Equation (PDE) solvers, reduced-order models and emulators of the forward problem, stochastic spectral approximations, and ensemble-based approximations, as well as exploiting the machinery for large-scale deterministic optimization through adjoint and other sensitivity analysis methods. Key Features: Brings together the perspectives of researchers in areas of inverse problems and data assimilation. Assesses the current state-of-the-art and identify needs and opportunities for future research. Focuses on the computational methods used to analyze and simulate inverse problems. Written by leading experts of inverse problems and uncertainty quantification. Graduate students and researchers working in statistics, mathematics and engineering will benefit from this book.
Product Identifiers
Publisher
John Wiley & Sons Inc
ISBN-13
9780470697436
eBay Product ID (ePID)
95279162
Product Key Features
Author
Bani Mallick, Luis Tenorio, David Keyes, Karen Willcox, Youssef Marzouk, Omar Ghattas, Matthias Heinkenschloss, Lorenz Biegler, Bart van Bloemen Waanders, George Biros
Publication Name
Large-Scale Inverse Problems and Quantification of Uncertainty
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2010
Type
Textbook
Number of Pages
388 Pages
Dimensions
Item Height
235mm
Item Width
158mm
Item Weight
760g
Additional Product Features
Series Title
Wiley Series in Computational Statistics
Country/Region of Manufacture
United States
Editor
Matthias Heinkenschloss, George Biros, Youssef Marzouk, Karen Willcox, Luis Tenorio, Lorenz Biegler, David Keyes, Bani Mallick, Bart van Bloemen Waanders, Omar Ghattas