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16.920J / 2.097J / 6.339J Numerical Methods for Partial Differential Equations, Spring 2003

Temperature distribution and governing equations for a thermal fin.
Temperature distribution and governing equations for a thermal fin. (Image adapted by Christopher Gouldstone from Problem Set 3 solutions.)

Highlights of this Course

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.
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
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