Computational Methods For Applied Inverse Problems

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Author: Yanfei Wang
Publisher: Walter de Gruyter
ISBN: 3110259052
Size: 67.26 MB
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Computational Methods For Applied Inverse Problems by Yanfei Wang


Original Title: Computational Methods For Applied Inverse Problems

This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. Readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.

Analytical And Computational Methods In Scattering And Applied Mathematics

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Author: Fadil Santosa
Publisher: CRC Press
ISBN: 9781420035971
Size: 16.43 MB
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Analytical And Computational Methods In Scattering And Applied Mathematics by Fadil Santosa


Original Title: Analytical And Computational Methods In Scattering And Applied Mathematics

Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematical and engineering communities working in these fields, and actively collaborated with a number of colleagues from both communities. It was in Professor Kleinman's memory that leading researchers in the fields of wave propagation, scattering, and applied mathematics gathered for an international conference at the University of Delaware in November 1998. This Research Note comprises papers on these topics presented at the conference along with other contributions by Ralph's colleagues. The papers consist of authoritative overviews by experts in their fields and new results from leading researchers. With many of the contributions multidisciplinary in nature and presentation of recent advances, Analytical and Computational Methods in Scattering and Applied Mathematics will prove of interest to engineers working in electromagnetics and wave propagation and to applied mathematicians working in partial differential equations and inverse problems

Large Scale Inverse Problems

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Author: Mike Cullen
Publisher: Walter de Gruyter
ISBN: 3110282267
Size: 45.62 MB
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Large Scale Inverse Problems by Mike Cullen


Original Title: Large Scale Inverse Problems

This book is the second volume of three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" taking place in Linz, Austria, October 3-7, 2011. The volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse problems and data assimilation in forefront applications.

Regularization Of Inverse Problems

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Author: Heinz Werner Engl
Publisher: Springer Science & Business Media
ISBN: 9780792361404
Size: 31.46 MB
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Regularization Of Inverse Problems by Heinz Werner Engl


Original Title: Regularization Of Inverse Problems

This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.

Applied Inverse Problems

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Author: Larisa Beilina
Publisher: Springer Science & Business Media
ISBN: 1461478162
Size: 78.17 MB
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Applied Inverse Problems by Larisa Beilina


Original Title: Applied Inverse Problems

This proceedings volume is based on papers presented at the First Annual Workshop on Inverse Problems which was held in June 2011 at the Department of Mathematics, Chalmers University of Technology. The purpose of the workshop was to present new analytical developments and numerical methods for solutions of inverse problems. State-of-the-art and future challenges in solving inverse problems for a broad range of applications was also discussed. The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.

Large Scale Inverse Problems And Quantification Of Uncertainty

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Author: Lorenz Biegler
Publisher: John Wiley & Sons
ISBN: 1119957583
Size: 37.41 MB
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Large Scale Inverse Problems And Quantification Of Uncertainty by Lorenz Biegler


Original Title: Large Scale Inverse Problems And Quantification Of Uncertainty

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.

Computational Methods In Geophysical Electromagnetics

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Author: Eldad Haber
Publisher: SIAM
ISBN: 1611973791
Size: 71.23 MB
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Computational Methods In Geophysical Electromagnetics by Eldad Haber


Original Title: Computational Methods In Geophysical Electromagnetics

This monograph provides a framework for students and practitioners who are working on the solution of electromagnetic imaging in geophysics. Bridging the gap between theory and practical applied material (for example, inverse and forward problems), it provides a simple explanation of finite volume discretization, basic concepts in solving inverse problems through optimization, a summary of applied electromagnetics methods, and MATLAB?÷code for efficient computation.

Optimization And Regularization For Computational Inverse Problems And Applications

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Author: Yanfei Wang
Publisher: Springer Science & Business Media
ISBN: 9783642137426
Size: 51.47 MB
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Optimization And Regularization For Computational Inverse Problems And Applications by Yanfei Wang


Original Title: Optimization And Regularization For Computational Inverse Problems And Applications

"Optimization and Regularization for Computational Inverse Problems and Applications" focuses on advances in inversion theory and recent developments with practical applications, particularly emphasizing the combination of optimization and regularization for solving inverse problems. This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the nonmonotone gradient method, subspace method and Lie group method; and the practical applications, such as the reconstruction problem for inverse scattering, molecular spectra data processing, quantitative remote sensing inversion, seismic inversion using the Lie group method, and the gravitational lensing problem. Scientists, researchers and engineers, as well as graduate students engaged in applied mathematics, engineering, geophysics, medical science, image processing, remote sensing and atmospheric science will benefit from this book. Dr. Yanfei Wang is a Professor at the Institute of Geology and Geophysics, Chinese Academy of Sciences, China. Dr. Sc. Anatoly G. Yagola is a Professor and Assistant Dean of the Physical Faculty, Lomonosov Moscow State University, Russia. Dr. Changchun Yang is a Professor and Vice Director of the Institute of Geology and Geophysics, Chinese Academy of Sciences, China.

Handbook Of Analytic Computational Methods In Applied Mathematics

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Author: George Anastassiou
Publisher: CRC Press
ISBN: 9781420036053
Size: 79.99 MB
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Handbook Of Analytic Computational Methods In Applied Mathematics by George Anastassiou


Original Title: Handbook Of Analytic Computational Methods In Applied Mathematics

Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The first of its kind, the Handbook on Analytic-Computational Methods in Applied Mathematics comprises 22 self-contained chapters focused on various aspects of analytic computational methods in approximation theory and other related fields. The articles represent the leading research activities of contemporary, mainstream applied mathematics and address problems in a broad range of disciplines, from economics to statistics, dynamic programming, and engineering.

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