The 31st KMGS will be held on April 4th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Lucas MacQuarrie from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
Slot (AM 11:50~PM 12:30)
[Speaker] Lucas MacQuarrie from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 김재경, Jaekyoung Kim
[Title] The Asymptotic Iteration Method and Hanh Difference Equations
[Discipline] Analysis (Differential and Difference Equations)
[Abstract]
The Asymptotic Iteration Method (AIM) is a relatively unknown method for solving second order linear homogeneous ordinary differential equations analytically and numerically computing eigenvalues. With a little work, The AIM theory can be extended to difference equations and $q$-differential equations, which can be combined into a generalized operator called the Hanh operator. In this talk, I will introduce the AIM theory and its use cases as well as show how it extends to the previously mentioned operators. I will also discuss some of the theory around these operators, their use cases, and further work that can be done on AIM.
[Language] English