Titlebook: Linear Integral Equations; Rainer Kress Textbook 19891st edition Springer-Verlag Berlin Heidelberg 1989 Hilbert space.Integral calculus.In

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Iterative Solution and Stability,lving linear systems obtained by discretizing operator equations based on the principal idea of the residual correction. In addition, at the end of this chapter we will briefly enter into the question of stability of the linear systems arising in the discretization of integral equations.

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0066-5452 l beauty. This book will try to stimulate the reader to share this love with me. Having taught integral equations a number of times I felt a lack of a text which adequately combines theory, applications and numerical methods. Therefore, in this book I intend to cover each of these fields with the sa

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Singular Integral Equations,tegral equations they will provide an application of the general idea of regularizing singular operators as described in Chapter 5. We assume that the reader is acquainted with the basic theory of complex functions.

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The Heat Equation,ifferential equation. In this chapter we want to indicate the application of Volterra type integral equations for the solution of initial boundary value problems for the heat equation. Without loss of generality we assume the constant κ = 1.

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Springer-Verlag Berlin Heidelberg 1989

Systemic

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Regularization in Dual Systems,strate that it is still possible to obtain results on the solvability of singular equations provided they can be regularized, that is, they can be transformed into equations of the second kind with a compact operator.