Numerical Methods for Inverse Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for Inverse Problems write by Michel Kern. This book was released on 2016-06-07. Numerical Methods for Inverse Problems available in PDF, EPUB and Kindle. 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 in most applications. This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.
Computational Methods for Inverse Problems
Computational Methods for Inverse Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Methods for Inverse Problems write by Curtis R. Vogel. This book was released on 2002-01-01. Computational Methods for Inverse Problems available in PDF, EPUB and Kindle. Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.
Numerical Methods for Solving Inverse Problems of Mathematical Physics
Numerical Methods for Solving Inverse Problems of Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for Solving Inverse Problems of Mathematical Physics write by A. A. Samarskii. This book was released on 2008-08-27. Numerical Methods for Solving Inverse Problems of Mathematical Physics available in PDF, EPUB and Kindle. The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.
Surveys on Solution Methods for Inverse Problems
Surveys on Solution Methods for Inverse Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Surveys on Solution Methods for Inverse Problems write by David Colton. This book was released on 2000-05-23. Surveys on Solution Methods for Inverse Problems available in PDF, EPUB and Kindle. Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.
Numerical Regularization for Atmospheric Inverse Problems
Numerical Regularization for Atmospheric Inverse Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Regularization for Atmospheric Inverse Problems write by Adrian Doicu. This book was released on 2010-07-16. Numerical Regularization for Atmospheric Inverse Problems available in PDF, EPUB and Kindle. The retrieval problems arising in atmospheric remote sensing belong to the class of the - called discrete ill-posed problems. These problems are unstable under data perturbations, and can be solved by numerical regularization methods, in which the solution is stabilized by taking additional information into account. The goal of this research monograph is to present and analyze numerical algorithms for atmospheric retrieval. The book is aimed at physicists and engineers with some ba- ground in numerical linear algebra and matrix computations. Although there are many practical details in this book, for a robust and ef?cient implementation of all numerical algorithms, the reader should consult the literature cited. The data model adopted in our analysis is semi-stochastic. From a practical point of view, there are no signi?cant differences between a semi-stochastic and a determin- tic framework; the differences are relevant from a theoretical point of view, e.g., in the convergence and convergence rates analysis. After an introductory chapter providing the state of the art in passive atmospheric remote sensing, Chapter 2 introduces the concept of ill-posedness for linear discrete eq- tions. To illustrate the dif?culties associated with the solution of discrete ill-posed pr- lems, we consider the temperature retrieval by nadir sounding and analyze the solvability of the discrete equation by using the singular value decomposition of the forward model matrix.
