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Více informací o knize Large-Scale Inverse Problems and Quantification of Uncertainty

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Large-Scale Inverse Problems and Quantification of Uncertainty
• Autor: Lorenz Biegler
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 388
• EAN: 9780470697436
• ISBN: 0470697431
• ID: 04885434
• Nakladatelství: John Wiley & Sons Inc
• Hmotnost: 760 g
• Rozměry: 238 × 159 × 23 mm
• Datum vydání: 05. November 2010

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