Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems Covers updated information on adjoint methods that are presented in an accessible manner

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  • Author : Richard C. Aster
  • Publisher : Elsevier
  • Pages : 404 pages
  • ISBN : 0128134232
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKParameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems
  • Author : Richard C. Aster,Brian Borchers,Clifford H. Thurber
  • Publisher : Elsevier
  • Release : 16 October 2018
GET THIS BOOKParameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of

Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems
  • Author : Richard C. Aster,Brian Borchers,Clifford H. Thurber
  • Publisher : Academic Press
  • Release : 19 June 2021
GET THIS BOOKParameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems, Second Edition provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical

Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems
  • Author : Richard C. Aster,Brian Borchers,Clifford H. Thurber
  • Publisher : Academic Press
  • Release : 10 December 2011
GET THIS BOOKParameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems, Second Edition provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical

Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems
  • Author : Richard C. Aster,Brian Borchers,Clifford H. Thurber
  • Publisher : Elsevier
  • Release : 25 January 2005
GET THIS BOOKParameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. It promotes a fundamental understanding of parameter estimation and inverse problem philosophy and methodology. It introduces readers to Classical and Bayesian approaches to linear and nonlinear problems, with particular attention to computational, mathematical, and statistical issues related to their application to geophysical problems. Four appendices review foundational concepts in linear algebra, statistics, vector calculus, and notation. Pedagogy includes hundreds of highlighted equations, examples,

Inverse Problem Theory and Methods for Model Parameter Estimation

Inverse Problem Theory and Methods for Model Parameter Estimation
  • Author : Albert Tarantola
  • Publisher : SIAM
  • Release : 01 January 2005
GET THIS BOOKInverse Problem Theory and Methods for Model Parameter Estimation

While the prediction of observations is a forward problem, the use of actual observations to infer the properties of a model is an inverse problem. Inverse problems are difficult because they may not have a unique solution. The description of uncertainties plays a central role in the theory, which is based on probability theory. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader

Numerical Methods for Inverse Problems

Numerical Methods for Inverse Problems
  • Author : Michel Kern
  • Publisher : John Wiley & Sons
  • Release : 07 June 2016
GET THIS BOOKNumerical Methods for Inverse Problems

This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used

Nonlinear Least Squares for Inverse Problems

Nonlinear Least Squares for Inverse Problems
  • Author : Guy Chavent
  • Publisher : Springer Science & Business Media
  • Release : 14 March 2010
GET THIS BOOKNonlinear Least Squares for Inverse Problems

The domain of inverse problems has experienced a rapid expansion, driven by the increase in computing power and the progress in numerical modeling. When I started working on this domain years ago, I became somehow fr- tratedtoseethatmyfriendsworkingonmodelingwhereproducingexistence, uniqueness, and stability results for the solution of their equations, but that I was most of the time limited, because of the nonlinearity of the problem, to provethatmyleastsquaresobjectivefunctionwasdi?erentiable....Butwith my experience growing, I became convinced that, after the inverse problem has been

Inverse Problem Theory

Inverse Problem Theory
  • Author : A. Tarantola
  • Publisher : Elsevier
  • Release : 14 October 2013
GET THIS BOOKInverse Problem Theory

Inverse Problem Theory is written for physicists, geophysicists and all scientists facing the problem of quantitative interpretation of experimental data. Although it contains a lot of mathematics, it is not intended as a mathematical book, but rather tries to explain how a method of acquisition of information can be applied to the actual world. The book provides a comprehensive, up-to-date description of the methods to be used for fitting experimental data, or to estimate model parameters, and to unify these

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology
  • Author : Johannes Gottlieb,Paul DuChateau
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKParameter Identification and Inverse Problems in Hydrology, Geology and Ecology

The Workshop on Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, Karlsruhe, April 10-12, 1995, was organized to bring to gether an interdisciplinary group drawn from the areas of science, engineering and mathematics for the following purposes: - to promote, encourage and influence more understanding and cooperation in the community of parameter identifiers from various disciplines, - to forge unity in diversity by bringing together a variety of disciplines that attempt to understand the reconstruction of inner model parameters,

Geophysical Inverse Theory

Geophysical Inverse Theory
  • Author : Robert L. Parker
  • Publisher : Princeton University Press
  • Release : 31 December 2019
GET THIS BOOKGeophysical Inverse Theory

In many physical sciences, the most natural description of a system is with a function of position or time. In principle, infinitely many numbers are needed to specify that function, but in practice only finitely many measurements can be made. Inverse theory concerns the mathematical techniques that enable researchers to use the available information to build a model of the unknown system or to determine its essential properties. In Geophysical Inverse Theory, Robert Parker provides a systematic development of inverse

Model Calibration and Parameter Estimation

Model Calibration and Parameter Estimation
  • Author : Ne-Zheng Sun,Alexander Sun
  • Publisher : Springer
  • Release : 01 July 2015
GET THIS BOOKModel Calibration and Parameter Estimation

This three-part book provides a comprehensive and systematic introduction to these challenging topics such as model calibration, parameter estimation, reliability assessment, and data collection design. Part 1 covers the classical inverse problem for parameter estimation in both deterministic and statistical frameworks, Part 2 is dedicated to system identification, hyperparameter estimation, and model dimension reduction, and Part 3 considers how to collect data and construct reliable models for prediction and decision-making. For the first time, topics such as multiscale inversion, stochastic field parameterization, level

Inverse Problems in Groundwater Modeling

Inverse Problems in Groundwater Modeling
  • Author : Ne-Zheng Sun
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOKInverse Problems in Groundwater Modeling

... A diskette with the updated programme of Appendix C and examples is available through the author at a small fee. email: nezheng@ucla.edu fax: 1--310--825--5435 ... This book systematically discusses basic concepts, theory, solution methods and applications of inverse problems in groundwater modeling. It is the first book devoted to this subject. The inverse problem is defined and solved in both deterministic and statistic frameworks. Various direct and indirect methods are discussed and compared. As a useful tool,

Discrete Inverse Problems

Discrete Inverse Problems
  • Author : Per Christian Hansen
  • Publisher : SIAM
  • Release : 19 June 2021
GET THIS BOOKDiscrete Inverse Problems

This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.