Analysis laboratory

Asymptotic analysis of singularly perturbed differential equations

WKB analysis is a method of analyzing differential equations that developed alongside quantum mechanics. Recently, its ties with other fields have grown closer and more important in the form of exact WKB analysis. We study fundamental problems of the exact WKB analysis, as well as applications to other fields of mathematics and physics applications.
College of Engineering School of Architecture
Faculty Name SASAKI, Shinji
Academic Society Mathematical Society of Japan
Keyword Differential equations, Asymptotic analysis, WKB analysis, Borel summation method, Stokes curves

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Research on asymptotic analysis provides important methods of calculation and analysis not only to mathematics and the natural sciences but also to engineering.

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