Date: Monday, September 29, 2014
Location: 3096 East Hall (2:30 PM to 3:30 PM)
Title: Integral Equation Methods
Abstract: This will be an introduction to the Integral Equation Methods for partial differential equations (PDEs). There is no prerequisite needed other than some basic calculus and linear algebra. I will use the Laplace equation as example, to show that how the PDE is reduced to the solution of a “Jump relation” (which is the inverse of a Riemann-Hilbert problem.). In addition, this jump relation is a so-called Fredholm integral equation of the 2nd kind, to whom the Fredholm Theory applies to guarantee the existence and uniqueness of the solution. If time permitted, I will also discuss the numerical methods for solving the integral equations.
Speaker: Bobbie Wu
Slices for the talk are available here