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Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 870/5 ( reviews)

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Book Synopsis Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics by : William G. Litvinov

Download or read book Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics written by William G. Litvinov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This unique book presents a profound mathematical analysis of general optimization problems for elliptic systems, which are then applied to a great number of optimization problems in mechanics and technology. Accessible and self-contained, it is suitable as a textbook for graduate courses on optimization of elliptic systems.

Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics

2000-04-01
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Release : 2000-04-01
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Kind : eBook
Book Rating : 887/5 ( reviews)

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Book Synopsis Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics by : William G Litvinov

Download or read book Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics written by William G Litvinov. This book was released on 2000-04-01. Available in PDF, EPUB and Kindle. Book excerpt:

Accuracy Verification Methods

2013-10-27 Computers
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Release : 2013-10-27
Genre : Computers
Kind : eBook
Book Rating : 814/5 ( reviews)

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Book Synopsis Accuracy Verification Methods by : Olli Mali

Download or read book Accuracy Verification Methods written by Olli Mali. This book was released on 2013-10-27. Available in PDF, EPUB and Kindle. Book excerpt: The importance of accuracy verification methods was understood at the very beginning of the development of numerical analysis. Recent decades have seen a rapid growth of results related to adaptive numerical methods and a posteriori estimates. However, in this important area there often exists a noticeable gap between mathematicians creating the theory and researchers developing applied algorithms that could be used in engineering and scientific computations for guaranteed and efficient error control. The goals of the book are to (1) give a transparent explanation of the underlying mathematical theory in a style accessible not only to advanced numerical analysts but also to engineers and students; (2) present detailed step-by-step algorithms that follow from a theory; (3) discuss their advantages and drawbacks, areas of applicability, give recommendations and examples.

Orthogonal Systems and Convolution Operators

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 293/5 ( reviews)

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Book Synopsis Orthogonal Systems and Convolution Operators by : Robert Ellis

Download or read book Orthogonal Systems and Convolution Operators written by Robert Ellis. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the unit circle with respect to an indefinite weighted scalar or inner product. The first theorem of this type, proved by M. G. Krein, was a far-reaching generalization of G. Szegö's result for the positive definite case. A continuous analogue of that theorem was proved by Krein and H. Langer. These results, as well as many generalizations and extensions, are thoroughly treated in this book. A unifying theme is the general problem of orthogonalization with invertible squares in modules over C*-algebras. Particular modules that are considered in detail include modules of matrices, matrix polynomials, matrix-valued functions, linear operators, and others. One of the central features of this book is the interplay between orthogonal polynomials and their generalizations on the one hand, and operator theory, especially the theory of Toeplitz marices and operators, and Fredholm and Wiener-Hopf operators, on the other hand. The book is of interest to both engineers and specialists in analysis.

One-dimensional Functional Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 790/5 ( reviews)

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Book Synopsis One-dimensional Functional Equations by : Genrich Belitskii

Download or read book One-dimensional Functional Equations written by Genrich Belitskii. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle. Such equations systematically arise in dynamical systems, differential equations, probabilities, singularities of smooth mappings, and other areas. The purpose of the book is to present modern methods and new results in the subject, with an emphasis on a connection between local and global solvability. The general concepts developed in the book are applicable to multidimensional functional equations. Some of the methods are presented for the first time in the monograph literature. The book is addressed to graduates and researchers interested in dynamical systems, differential equations, operator theory, or the theory of functions and their applications.

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