{"product_id":"9780470697436","title":"Large-Scale Inverse Problems and Quantification of Uncertainty","description":"\u003ch3\u003eWiley Series in Computational Statistics\u003c\/h3\u003e\u003ch1\u003eLarge-Scale Inverse Problems and Quantification of Uncertainty\u003c\/h1\u003e\u003ch3\u003eLorenz Biegler | George Biros | Omar Ghattas | Matthias Heinkenschloss | David Keyes | Bani Mallick | Luis Tenorio | Bart van Bloemen Waanders | Karen Willcox | Youssef Marzouk\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Probability \u0026amp; Statistics \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\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. \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 \u003cul\u003e \u003cli\u003eBrings together the perspectives of researchers in areas of inverse problems and data assimilation.\u003c\/li\u003e \u003cli\u003eAssesses the current state-of-the-art and identify needs and opportunities for future research.\u003c\/li\u003e \u003cli\u003eFocuses on the computational methods used to analyze and simulate inverse problems.\u003c\/li\u003e \u003cli\u003eWritten by leading experts of inverse problems and uncertainty quantification.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eGraduate students and researchers working in statistics, mathematics and engineering will benefit from this book.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e \u003cp\u003e\u003cb\u003eLorenz Biegler,\u003c\/b\u003e Carnegie Mellon University, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eGeorge Biros,\u003c\/b\u003e Georgia Institute of Technology, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eOmar Ghattas\u003c\/b\u003e, University of Texas at Austin, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eMatthias Heinkenschloss\u003c\/b\u003e, Rice University, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDavid Keyes\u003c\/b\u003e, KAUST and Columbia University, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBani Mallick\u003c\/b\u003e, Texas A\u0026amp;M University, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eLuis Tenorio\u003c\/b\u003e, Colorado School of Mines, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBart van Bloemen Waanders\u003c\/b\u003e, Sandia National Laboratories, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eKaren Wilcox,\u003c\/b\u003e Massachusetts Institute of Technology, USA.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eYoussef Marzouk\u003c\/b\u003e, Massachusetts Institute of Technology, USA.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e22 November 2010\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780470697436\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e400\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e26.4\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44310906699916,"sku":"9780470697436","price":152.06,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780470697436.jpg?v=1780140869","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780470697436","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}