Get Asymptotics in dynamics, geometry and PDEs; Generalized PDF

By Costin O., Fauvet F., Menous F., Sauzin D. (eds.)

ISBN-10: 887642377X

ISBN-13: 9788876423772

This e-book is dedicated to the mathematical and numerical research of the inverse scattering challenge for acoustic and electromagnetic waves. the second one version contains fabric on Newton’s process for the inverse main issue challenge, a sublime facts of area of expertise for the inverse medium challenge, a dialogue of the spectral concept of the some distance box operator and a mode for deciding upon the aid of an inhomogeneous medium from a ways box information Feynman graphs in perturbative quantum box conception / Christian Bogner and Stefan Weinzierl -- The flexion constitution and dimorphy: flexion devices, singulators, turbines, and the enumeration of multizeta irreducibles / Jean Ecalle -- at the parametric resurgence for a undeniable singularly perturbed linear differential equation of moment order / Augustin Fruchard and Reinhard Schäfke -- On a Schrödinger equation with a merging pair of an easy pole and a straightforward turning aspect - Alien calculus of WKB recommendations via microlocal research / Shingo Kamimoto, Takahiro Kawai, Tatsuya Koike and Yoshitsugu Takei -- at the turning element challenge for instanton-type recommendations of Painlevé equations / Yoshitsugu Takei

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70] S. W EINZIERL, J. Math. Phys. 45, 2656 (2004), hep-ph/0402131. [71] S. M OCH and P. U WER, Comput. Phys. Commun. 174, 759 (2006), math-ph/0508008. [72] L. E ULER, Novi Comm. Acad. Sci. Petropol. 20, 140 (1775). [73] D. Z AGIER, First European Congress of Mathematics, Vol. II, Birkh¨auser, Boston, 497 (1994). [74] J. A. M. V ERMASEREN, Int. J. Mod. Phys. A14, 2037 (1999), hep-ph/9806280. ¨ and S. K URTH, Phys. Rev. D60, 014018 (1999), [75] J. B L UMLEIN hep-ph/9810241. ¨ , Comput. Phys. Commun.

174, 759 (2006), math-ph/0508008. [72] L. E ULER, Novi Comm. Acad. Sci. Petropol. 20, 140 (1775). [73] D. Z AGIER, First European Congress of Mathematics, Vol. II, Birkh¨auser, Boston, 497 (1994). [74] J. A. M. V ERMASEREN, Int. J. Mod. Phys. A14, 2037 (1999), hep-ph/9806280. ¨ and S. K URTH, Phys. Rev. D60, 014018 (1999), [75] J. B L UMLEIN hep-ph/9810241. ¨ , Comput. Phys. Commun. 159, 19 (2004), hep[76] J. B L UMLEIN ph/0311046. 26 Christian Bogner and Stefan Weinzierl ¨ [77] J. B L UMLEIN , D.

4 Polar singulators: description and properties . . 5 Simple polar singulators . . . . . . . 6 Composite polar singulators . . . . . . 7 From al/al to al/il. Nature of the singularities . A natural basis for ALIL ⊂ ARI al/il . . . . . . 1 Singulation-desingulation: the general scheme . 2 Singulation-desingulation up to length 2 . . . 3 Singulation-desingulation up to length 4 . . . 4 Singulation-desingulation up to length 6 . . . 5 The basis lama• /lami• . . . . . .

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Asymptotics in dynamics, geometry and PDEs; Generalized Borel Summation. / vol. II by Costin O., Fauvet F., Menous F., Sauzin D. (eds.)


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