Approximation Spaces in the Numerical Analysis of Operator Equations |
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Authors: | Luther U |
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Institution: | (1) Technische Universität Chemnitz, Fakultät für Mathematik, D-09107 Chemnitz, Germany |
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Abstract: | We show that generalized approximation spaces can be used to prove stability and convergence of projection methods for certain types of operator equations in which unbounded operators occur. Besides the convergence, we also get orders of convergence by this approach, even in case of non-uniformly bounded projections. We give an example in which weighted uniform convergence of the collocation method for an easy Cauchy singular integral equation is studied. |
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Keywords: | approximation spaces numerical analysis Cauchy singular integral equations |
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