18.307 Integral Equations

As taught in: Spring 2006

Figure showing temperature regions around a plate.

Temperature profile around a plate (red: hot, to blue: cold), which is found via a singular integral equation. (Courtesy of Dr. Jaehyuk Choi. Used with permission.)




Dr. Dionisios Margetis

Course Description

This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.