Stable Approximate Evaluation of Unbounded Operators PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Stable Approximate Evaluation of Unbounded Operators PDF full book. Access full book title Stable Approximate Evaluation of Unbounded Operators by Charles W. Groetsch. Download full books in PDF and EPUB format.
Author: Charles W. Groetsch
Publisher: Springer
ISBN: 3540399437
Category : Mathematics
Languages : en
Pages : 134
Get Book Here
Book Description
This book teams up the spectral theory of bounded linear operators with von Neumann’s theory of unbounded operators to provide a framework for the study of stable methods for the evaluation of unbounded operators. The text presents numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. It also offers an extensive exposition of background material from the theory of operators on Hilbert space.
Author: Charles W. Groetsch
Publisher: Springer
ISBN: 3540399437
Category : Mathematics
Languages : en
Pages : 134
Get Book Here
Book Description
This book teams up the spectral theory of bounded linear operators with von Neumann’s theory of unbounded operators to provide a framework for the study of stable methods for the evaluation of unbounded operators. The text presents numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. It also offers an extensive exposition of background material from the theory of operators on Hilbert space.
Author: Vasile Berinde
Publisher: Springer
ISBN: 3540722343
Category : Mathematics
Languages : en
Pages : 338
Get Book Here
Book Description
This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.
Author: Bei Hu
Publisher: Springer Science & Business Media
ISBN: 3642184596
Category : Mathematics
Languages : en
Pages : 137
Get Book Here
Book Description
There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.
Author:
Publisher: Springer Science & Business Media
ISBN: 3540737049
Category :
Languages : en
Pages : 122
Get Book Here
Book Description
Author: Luis Barreira
Publisher: Springer
ISBN: 3540747753
Category : Mathematics
Languages : en
Pages : 288
Get Book Here
Book Description
This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Author: Alexander I. Bobenko
Publisher: Springer Science & Business Media
ISBN: 3642174124
Category : Mathematics
Languages : en
Pages : 268
Get Book Here
Book Description
This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.
Author: Robert Adler
Publisher: Springer Science & Business Media
ISBN: 3642195792
Category : Mathematics
Languages : en
Pages : 135
Get Book Here
Book Description
These notes, based on lectures delivered in Saint Flour, provide an easy introduction to the authors’ 2007 Springer monograph “Random Fields and Geometry.” While not as exhaustive as the full monograph, they are also less exhausting, while still covering the basic material, typically at a more intuitive and less technical level. They also cover some more recent material relating to random algebraic topology and statistical applications. The notes include an introduction to the general theory of Gaussian random fields, treating classical topics such as continuity and boundedness. This is followed by a quick review of geometry, both integral and Riemannian, with an emphasis on tube formulae, to provide the reader with the material needed to understand and use the Gaussian kinematic formula, the main result of the notes. This is followed by chapters on topological inference and random algebraic topology, both of which provide applications of the main results.
Author: Ugo Dal Lago
Publisher: Springer
ISBN: 3319124668
Category : Computers
Languages : en
Pages : 168
Get Book Here
Book Description
This book constitutes the proceedings of the Third International Workshop on Foundational and Practical Aspects of Resource Analysis, FOPARA 2013, held in Bertinoro, Italy, in August 2013. The 9 papers presented in this volume were carefully reviewed and selected from 12 submissions. They deal with traditional approaches to complexity analysis, differential privacy, and probabilistic analysis of programs.
Author: Stephen Simons
Publisher: Springer
ISBN: 1402069197
Category : Mathematics
Languages : en
Pages : 251
Get Book Here
Book Description
This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.
Author: Thomas Schuster
Publisher: Springer
ISBN: 3540712275
Category : Mathematics
Languages : en
Pages : 193
Get Book Here
Book Description
This book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings. It demonstrates the performance and functionality of the method on several examples from medical imaging and non-destructive testing, such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography.
