Linear Integral Equations

Applied Mathematical Sciences

Rainer Kress

366 pages, parution le 01/05/1999 (2^eme édition)

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Résumé

This book originated from the author's fascination with the mathematical beauty of integral equations. It is an attempt to combine theory, applications, and numerical methods, and cover each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers, the author has made the work as self-contained as possible, by requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book. Problems are included at the end of each chapter.

For the second edition, in addition to corrections and adjustments throughout the text, as well as an updated reference section, new topics have been added.

Contents

1 Normed Spaces
2 Bounded and Compact Operators
3 Riesz Theory
4 Dual Systems and Fredholm Alternative
5 Regularization in Dual Systems
6 Potential Theory
7 Singular Integral Equations
8 Sobolev Spaces
9 The Heat Equation
10 Operator Approximations
11 Degenerate Kernel Approximation
12 Quadrature Methods
13 Projection Methods
14 Iterative Solution and Stability
15 Equations of the First Kind
16 Tikhonov Regularization
17 Regularization by Discretization
18 Inverse Boundary Value Problems

References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Rainer Kress
Parution	01/05/1999
Édition	2^eme édition
Nb. de pages	366
Format	16 x 24
Couverture	Relié
Poids	675g
Intérieur	Noir et Blanc
EAN13	9780387987002
ISBN13	978-0-387-98700-2