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Titlebook: Linear Integral Equations; Rainer Kress Textbook 2014Latest edition Springer Science+Business Media New York 2014 Hölder spaces.Nyström me

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Bounded and Compact Operators,In this chapter we briefly review the basic properties of bounded linear operators in normed spaces and then introduce the concept of compact operators that is of fundamental importance in the study of integral equations.
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Quadrature Methods,In this chapter we shall describe the . or . for the approximate solution of integral equations of the second kind with continuous or weakly singular kernels.
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Iterative Solution and Stability,The approximation methods for integral equations described in Chapters 11–13 lead to full linear systems.
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Equations of the First Kind,Compact operators cannot have a bounded inverse. Therefore, equations of the first kind with a compact operator provide a typical example for so-called ..
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