Titlebook: Mathematical Analysis and the Mathematics of Computation; Werner Römisch,Thomas Zeugmann Textbook 2016 Springer International Publishing S

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Linear Integral Operators,r the interval [0, 1]; that is, we consider a particular type of integral operator and show it to be compact. The insight obtained enables us to study the solvability of Fredholm integral equations of the second kind and to prove the Fredholm alternative. Finally, we touch on Fredholm integral equat

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Discretization of Operator Equations,hich have to be solved numerically. This implies that one has to perform finitization processes yielding operator equations over finite dimensional spaces which can be solved numerically. In the present chapter we study how these approximative solutions converge to an approximation of the solution o

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