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2.097/6.339/16.920  Numerical Methods for Partial Differential Equations

Fall 2007

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Flow over a NACA0012 airfoil at Reynolds number of 5000, solved with Finte Element code 3DG;
Mach number contours (image ACDL, MIT)

Instructors: Luca Daniel, David L Darmofal, Anthony T Patera, Jacob K White

TA: Alejandra Uranga Cabrera

Lecture:  MW8-9.30  (1-390)        

Information: 

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.

Announcements

Class Grades

The weighter grades (28% PSet 1, 22% PSet 2, 28% PSet 3, 22% PSet 4) for the class result in the following statistics:
    average: 91/100
    median:  92.5/100
    standard deviation: 7.2

Alejandra

Announced on 18 December 2007  10:46  a.m. by Alejandra Uranga Cabrera

PSet 4

The grades for Problem Set 4 have been posted on the stellar website. Here are some statistics:
    average: 90.4/100
    median:  93/100
    standard deviation: 9.3

You can come and pick up your graded report at my office (37-442) after 3pm today and in the following days. If I am not there, ask for Emily.

Alejandra

Announced on 18 December 2007  10:43  a.m. by Alejandra Uranga Cabrera

HKN class evaluation

I have added a link to the HKN class evaluation on the navigation menu of our class website.

A student representative from HKN will come to class this coming Monday at 9.15am to talk about the class evaluation.

Since the evaluation this year is done online:

1) I would like to encourage all of you to bring your laptops in class this coming Monday to fill in the class survey while you can ask questions to the HKN representative.

2) If you cannot attend class, I would like to strongly encourage you to still evaluate the class from home using the link I have added on the menu bar on the class website (you will need your MIT certificate to log in, the link will shortly become active and will stay active until December 16, 2007).

Thanks

Luca Daniel

Announced on 05 December 2007  12:06  p.m. by Luca Daniel

PSet 3

The grades for Problem Set 3 have been posted on the stellar website. Here are some statistics:
    average: 95.4/100
    median:  96.5/100
    standard deviation: 3.7

Alejandra

Announced on 02 December 2007  1:45  p.m. by Alejandra Uranga Cabrera

Teaching Assistant Position for MechE Course 2.086

We will be offering the course 2.086 Numerical Computation for Mechanical Engineers for the first time in Spring 2008. The course description is attached below.

We are looking for an inaugural TA, the responsibilities of whom shall be (i) developing course materials (exercises, projects,...), (ii) co-supervising/teaching (with faculty) the laboratory, and (iii) grading homeworks (probably with the help of a hired grader). For Spring '08 the enrollment will be limited to 20 students.

Candidates should be well versed in both matlab and numerical methods.

Please contact Professor Tony Patera at patera@mit.edu.

Course Description: Introduction to programming concepts including variable types, data structures, flow control. Numerical methods relevant to MechE including approximation (interpolation, statistical regression); integration; solution of linear and nonlinear equations, eigenproblems, ordinary differential equations, partial differential equations; optimization. Deterministic and probabilistic methods. Examples from MechE including lumped and continuum models from solid and fluid mechanics, heat transfer, and acoustics; dynamics and control; design and manufacturing. Assignments requiring MATLAB programming.

Announced on 26 November 2007  1:47  p.m. by Debra Blanchard

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