16.920J / 2.097J / 6.339J Numerical Methods for Partial Differential Equations (SMA 5212)

As taught in: Spring 2003

A graph indicating themperature distribution, with equations overlaid on top of it.

Temperature distribution and governing equations for a thermal fin, adapted from Problem Set 3 solutions (PDF). (Image courtesy of MIT OpenCourseWare.)

Level:

Graduate

Instructors:

Prof. Boo Cheong Khoo

Prof. Jacob White

Prof. Jaime Peraire

Prof. Anthony Patera

Course Features

Course Highlights

This course features an extensive set of lecture materials, including both handouts and in-class presentations. These are supplemented by a complete set of assignments, which allow students to apply the broad variety of concepts and techniques covered by the diverse teaching staff.

Course Description

A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields. Topics include: Mathematical Formulations; Finite Difference and Finite Volume Discretizations; Finite Element Discretizations; Boundary Element Discretizations; Direct and Iterative Solution Methods.

This course was also taught as part of the Singapore-MIT Alliance (SMA) programme as course number SMA 5212 (Numerical Methods for Partial Differential Equations).