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Titlebook: Weighted Polynomial Approximation and Numerical Methods for Integral Equations; Peter Junghanns,Giuseppe Mastroianni,Incoronata No Book 20

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Mapping Properties of Some Classes of Integral Operators,Here, in preparation of the following chapters on the numerical solution of different kinds of integral equations, we present certain mapping properties of the involved integral and related operators. In this context the Jacobi polynomials play an important role. That is why we first deal with these polynomials.
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Mapping Properties of Some Classes of Integral Operators,Here, in preparation of the following chapters on the numerical solution of different kinds of integral equations, we present certain mapping properties of the involved integral and related operators. In this context the Jacobi polynomials play an important role. That is why we first deal with these polynomials.
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Collocation and Collocation-Quadrature Methods for Strongly Singular Integral Equations,In this chapter collocation and collocation-quadrature methods, based on some interpolation and quadrature processes considered in Chap. ., are applied to strongly singular integral equations like linear and nonlinear Cauchy singular integral equations, integral equations with strongly fixed singularities, and hypersingular integral equations.
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Applications,This chapter is devoted to some concrete applications of the theory presented in the previous chapter to examples from two-dimensional elasticity theory, airfoil theory, and free boundary seepage flow problems.
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Hints and Answers to the Exercises,For . ∈., .. ∈.. and ..→., we have necessarily (and so uniquely) to define . in order to guarantee the continuity of ..
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