2.086 Numerical Computation for Mechanical Engineers
Spring 2008
Temperature field in an idealized railroad rail cross-section
during a transient heat treatment process.
Instructors: Daniel Frey, Nicolas Hadjiconstantinou, Anthony T Patera
TAs: Ghassan Fayad, Chad Foster, Martin Reuter
Lecture:
TR 2.30-4
(1-150)
Lab: F 11-2
(1-115)
Information:
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.
Announcements
Finite Elements - Gentle Introduction
Hi!Just uploaded Professor Patera's scribbles on "Finite Elements - Gentle Introduction. You can find them at
The companion file FEMstuff.m is at
http://stellar.mit.edu/S/course/2/sp08/2.086/courseMaterial/topics/topic9/tool/FEMstuff/FEMstuff.m
See you at 2:30!
Announced on 15 May 2008 10:01 a.m. by Debra Blanchard
A couple of .m files for you...
Hi!As promised, I've uploaded a couple of files for you. One is exHyperPDE.m found at
The other is runHyperPDE.m found at
Best,
...Debbie
Announced on 14 May 2008 5:00 p.m. by Debra Blanchard
Hyperbolic PDEs - scribbles
Hi gang!i just uploaded Professor Patera's "scribbles" on Hyperbolic PDEs for you at
I'll upload a couple of .m files for you tomorrow.
Best,
...Debbie
Announced on 13 May 2008 4:16 p.m. by Debra Blanchard
2.086: Week of May 12
This week in 2.086 we will finish our PDE discussions: the wave equation;a little bit on multidimensional (in space) problems; and a gentle introduction
to the finite element method.
The only pre-class assignment (for the entire week) is to read,
for Tuesday's
class, Section 1.1.2.2 (pages 15-17) of the Elliptic PDEs notes
at
You should thus have a good block of time to finish up any remaining work on your project.
We hope you all had a baked potato over the weekend.
Announced on 12 May 2008 9:51 a.m. by Debra Blanchard
Pre-Class Assignment for Thursday, 8 May
Please read the Parabolic PDE Scribbles atpages 1-19. (The first half will be review, the second half will be new.)
Please do Part I of the Lab for this week, available at
(The remainder of the Lab will be available on Friday at 11AM.) No need to hand anything in now; just include your Part I result/write-up in your Lab solution on Friday.
Announced on 06 May 2008 5:25 p.m. by Debra Blanchard