| Week | Lecture | Description |
Section
in book
|
HW&Q
|
|
| 1 | 09/01 | W |
|
Quiz #0
(not
graded)
|
|
| 2 | Labor day | ||||
| 09/08 | W | Maximum
pple
for
2-point
BVP
|
2.1 | ||
| 3 | 09/13 | M | FD for
2-point BVP |
Progr |
|
| 09/15 | W | FD for
2-point BVP |
4.1 | Quiz
#1 [Sect 2.1] |
|
| 4 | 09/20 | M | FD for 2-point BVP | 4.1 |
|
| 09/22 | W | FD for the Poisson equation | Progr | HW
#1
due |
|
| 5 | 09/27 | M | Maximum pple for elliptic BVP | 3.1-3.2 | |
| 09/29 | W | FD for the Poisson equation | 4.2 | Quiz #2
[Sect 4.1 & 3.2] |
|
| 6 | 10/04 | M | Sobolev
spaces |
Appendix |
|
| 10/06 | W | Variational formulation for a 2-point BVP | 2.3 | HW
#2
due |
|
| 7 | 10/11 | M | Finite element methods for a 2-point BVP | 5.1 | |
| 10/13 | W | Programming
the FEM |
Progr | Quiz #3
[Sect 2.3 & Appendix] |
|
| 8 | 10/18 | M | Programming
the
FEM |
Progr | |
| 10/20 | W | Elliptic
problems
in
the
plane |
3.5,
3.6
&
5.2 |
||
| 9 | 10/25 | M | Theory of
FEM in 1 dimension |
5.1 |
HW #3 due |
| 10/27 | W | Theory of
FEM in 2 dimensions |
5.3
&
5.4 |
Project #1
due |
|
| 10 | 11/01 | M | Parabolic
problems
|
8.2
&
8.4
|
|
| 11/03 | W | Explicit
FD
for
the
heat equation |
9.2
|
Quiz
#4
[3.5,
3.6,
5.1,
5.2, 5.3 & 5.4] - Long Quiz: 30 min. |
|
| 11 | 11/08 | M | Implicit FD
for the
heat equation |
9.2
|
|
| 11/10 | W | L^2
analysis of the CN method |
9.2
|
||
| 12 | 11/15 | M | Semidiscretization
in
space
for parabolic problems |
9.3 |
HW #4 |
| 11/17 | W | FEM
for
parabolic
problems |
9.3 |
||
| 13 | 11/22 | M | FEM for the
wave equation |
Progr |
Quiz
#5 [9.2 - take home] |
| Thanksgiving vacation | |||||
| 14 | 11/29 | M | FEM for the wave equation | Progr |
HW
#5
due |
| 12/01 | W | FEM for the wave equation | Progr |
Project
#2
due |
|
| 15 | 12/06 | M | |||
| 12/08 | W | ||||