Asymptotics in dynamics, geometry and PDEs; Generalized Borel Summation. / vol. II
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This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. The second edition includes material on Newton’s method for the inverse obstacle problem, an elegant proof of uniqueness for the inverse medium problem, a discussion of the spectral theory of the far field operator and a method for determining the support of an inhomogeneous medium from far field data Feynman graphs in perturbative quantum field theory / Christian Bogner and Stefan Weinzierl -- The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles / Jean Ecalle -- On the parametric resurgence for a certain singularly perturbed linear differential equation of second order / Augustin Fruchard and Reinhard Schäfke -- On a Schrödinger equation with a merging pair of a simple pole and a simple turning point - Alien calculus of WKB solutions through microlocal analysis / Shingo Kamimoto, Takahiro Kawai, Tatsuya Koike and Yoshitsugu Takei -- On the turning point problem for instanton-type solutions of Painlevé equations / Yoshitsugu Takei
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