18.307 Integral Equations

Spring 2006

Temperature profile 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.)

Course Highlights

This course features complete set of assignments with solutions and an extensive reading list.

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.
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Staff

Instructor:
Prof. Dionisios Margetis

Course Meeting Times

Lectures:
Two sessions / week
1.5 hours / session

Level

Graduate