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 complete WKB analysis. We study the fundamental problems of complete WKB analysis, as well as other mathematical and physical applications.
College of Engineering Architecture (AP,SA,UA)
Faculty Name Shinji Sasaki
Academic Society Mathematical Society of Japan
Keyword Differential equations, Asymptotic analysis, WKB analysis, Borel summation method, Stokes curves

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For Society

Research on asymptotic analysis can create methods of calculation and analysis that are of value not only to mathematics and the natural sciences but also to engineering.

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