{"product_id":"large-scale-inverse-problems-and-quantification-of-uncertainty-9780470697436","title":"Large-Scale Inverse Problems and Quantification of Uncertainty","description":"\u003cp\u003e • Author(s): Lorenz Biegler\u003cbr\u003e • Publisher: Wiley\u003cbr\u003e • Publisher Imprint: Wiley\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - General\u003c\/p\u003e\u003cp\u003eThis 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. \u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003c\/p\u003e  *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.  \u003cp\u003eGraduate students and researchers working in statistics, mathematics and engineering will benefit from this book.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Hardcover","offer_id":45201813635223,"sku":"9780470697436","price":10448.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780470697436.webp?v=1767668052","url":"https:\/\/atlanticbooks.com\/products\/large-scale-inverse-problems-and-quantification-of-uncertainty-9780470697436","provider":"Atlantic Books","version":"1.0","type":"link"}