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Singular perturbation methods, such as the method of multiple scales and the method of matched asymptotic expansions, give series in a small parameter ε which are asymptotic but (usually) divergent. In this survey, we use a plethora of examples to illustrate the cause of the divergence, and...
In this work we consider an abstract projection method and apply it in characterizing the convergence of some known projection methods for Fredholm equations of the first kind.
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