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Author : Francoise Chatelin
Release : 2011-05-26
Genre : Mathematics
Kind : eBook
Book Rating : 992/5 ( reviews)
Book Synopsis Spectral Approximation of Linear Operators by : Francoise Chatelin
Download or read book Spectral Approximation of Linear Operators written by Francoise Chatelin. This book was released on 2011-05-26. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Academic Press, 1983.
Author : Wen-so Lo
Release : 1972
Genre : Approximation theory
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Spectral Approximation Theory for Bounded Linear Operators by : Wen-so Lo
Download or read book Spectral Approximation Theory for Bounded Linear Operators written by Wen-so Lo. This book was released on 1972. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we examine the approximation theory of the eigenvalue problem of bounded linear operators defined on a Banach space, and its applications to integral and differential equations. Special cases include the degenerate kernel method, projection method, collocation method, the Galerkin method, the method of moments, and the generalized Ritz method for solving integral or differential equations. Given a bounded linear operator, a sequence of bounded linear operator approximations is assumed to converge to it in the operator norm. We examine, among other things, the perturbation of the spectrum of the given operator; criteria for the existence and convergence of approximate eigenvectors and generalized eigenvectors; relations between the dimensions of the eigenmanifolds and generalized eigenmanifolds of the operator and those of the approximate operators.
Author : C. W. Groetsch
Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 429/5 ( reviews)
Book Synopsis Stable Approximate Evaluation of Unbounded Operators by : C. W. Groetsch
Download or read book Stable Approximate Evaluation of Unbounded Operators written by C. W. Groetsch. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.
Author : Henry R. Dowson
Release : 1978
Genre : Banach spaces
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Spectral Theory of Linear Operators by : Henry R. Dowson
Download or read book Spectral Theory of Linear Operators written by Henry R. Dowson. This book was released on 1978. Available in PDF, EPUB and Kindle. Book excerpt: General spectral theory; Riesz operators; Hermitian operators; Prespectral operators; Well-bounded operators.
Author : David Edmunds
Release : 2018-05-03
Genre : Mathematics
Kind : eBook
Book Rating : 106/5 ( reviews)
Book Synopsis Spectral Theory and Differential Operators by : David Edmunds
Download or read book Spectral Theory and Differential Operators written by David Edmunds. This book was released on 2018-05-03. Available in PDF, EPUB and Kindle. Book excerpt: This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.
