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

Spring 2003

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

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).

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Staff

Instructors:
Prof. Jaime Peraire
Prof. Jacob White
Prof. Anthony Patera
Prof. Boo Cheong Khoo

Course Meeting Times

Lectures:
Two sessions / week
1.5 hours / session

Level

Graduate