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|
- Mathematical science
- Differential equations
- Asymptotic analysis
- Summation method
- Complex function theory
For SocietyResearch 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.
- Possibilities for the summation of divergent series in complete WKB analysis
- Standard form theory in complete WKB analysis
- Stokes geometry