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.
|Faculty Name||SASAKI, Shinji|
|Academic Society||Mathematical Society of Japan|
|Keyword||Differential equations, Asymptotic analysis, WKB analysis, Borel summation method, Stokes curves|
- Mathematical science
- Differential equations
- Asymptotic analysis
- Summation method
- Complex function theory
For SocietyResearch on asymptotic analysis provides important methods of calculation and analysis not only to mathematics and the natural sciences but also to engineering.
- Summability of divergent series in the exact WKB analysis
- Normal form theory in the exact WKB analysis
- Stokes geometry