Augustin Fruchard

Presents a comprehensive theory of infinite composite asymptotic expansions (CAsEs), an alternative to the method of matched asymptotic expansions Generalizes the classical theory of Gevrey asymptotic expansions to such CAsEs, thus establishing a new powerful tool for the study of turning points of singularly perturbed ODEs Using CAsEs, especially their versions of Gevrey type, to obtain new results for three classical problems in the theory of singularly perturbed ODEs Includes supplementary material: sn.pub/extras