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).

Technical Requirements

Any number of software tools can be used to import the .dat files found on this course site. Please refer to the course materials for any specific instructions or recommendations. MATLAB® software is required to view and run the .m, .mat, and .qif files found on this course site. File decompression software, such as Winzip® or StuffIt®, is required to open the .zip files found on this course site.



MATLAB® is a trademark of The MathWorks, Inc.
WinZip® is a registered trademark of WinZip Computing, Inc.
StuffIt® is a trademark of Aladdin Systems, Inc.

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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