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.)




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).