{"product_id":"9781119957584","title":"Large-Scale Inverse Problems and Quantification of Uncertainty","description":"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. \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\u003eKey Features:\u003c\/p\u003e \u003cp\u003e• Brings together the perspectives of researchers in areas of inverse problems and data assimilation.\u003c\/p\u003e \u003cp\u003e• Assesses the current state-of-the-art and identify needs and opportunities for future research.\u003c\/p\u003e \u003cp\u003e• Focuses on the computational methods used to analyze and simulate inverse problems.\u003c\/p\u003e \u003cp\u003e• Written by leading experts of inverse problems and uncertainty quantification.\u003c\/p\u003e \u003cp\u003eGraduate students and researchers working in statistics, mathematics and engineering will benefit from this book.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47107273949424,"sku":"9781119957584","price":126.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781119957584_p0.jpg?v=1769890541","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781119957584","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}