| |
Date |
Lecture Topic |
Assignment / Reading |
| Tue |
20-Jan |
1. Introduction to PDEs
Classification and Characteristics |
Notes: General PDE
Reading: Braess I.1
HW 1 assigned |
| Thu |
22-Jan |
2. Finite Difference Method for Parabolic Problems |
Notes: Finite Difference 1 |
| Tue |
27-Jan |
3. Implicit Finite Difference Method |
Notes: Finite Difference 2 |
| Thu |
29-Jan |
4. Method of Lines |
. |
| Tue |
3-Feb |
5. Maximum Principle |
Quiz 1 Assigned |
| Thu |
5-Feb |
6. Non-Dirichlet Boundary Conditions |
Notes: Finite Difference 3
HW 1 due by 5 PM;
HW 2 assigned |
| Tue |
10-Feb |
7. General Linear Problems |
Quiz 1 Due at 12:30 PM |
| Thu |
12-Feb |
8. Higher Dimensions |
Notes: Finite Difference 4 |
| Tue |
17-Feb |
9. Curved Boundaries |
. |
| Thu |
19-Feb |
10. Finite Difference for Hyperbolic Problems |
Notes: Finite Difference 5 |
| Tue |
24-Feb |
11. Finite Volume for Hyperbolic Problems |
. |
| Thu |
26-Feb |
12. TVD, Second-Order Problems, Hamiltonian PDEs |
HW 2 due by 5 PM
HW 3 assigned; Quiz 2 Assigned |
| Tue |
3-Mar |
13. Finite Difference for Elliptic Problems |
Notes: Finite Difference 6
Quiz 2 Due at 12:30 PM |
| Thu |
5-Mar |
14. Class Rescheduled (Instructor at SIAM CSE Conference) |
Quiz 3 Assigned (Midterm Practice) |
| Tue |
10-Mar |
15. Exam Review |
Quiz 3 Due at 12:30 PM |
| Thu |
12-Mar |
16. ** Midterm Exam ** |
|
| Fri |
13-Mar |
Undergrad Drop Deadline |
| Tue |
17-Mar |
17. Elliptic Problems |
|
| Thu |
19-Mar |
18. Quadratic Functionals |
HW 3 due by 5 PM
HW 4 assigned |
| Tue |
24-Mar |
Spring Vacation |
| Thu |
26-Mar |
| Tue |
31-Mar |
19. Quadratic Functionals |
|
| Thu |
2-Apr |
20. Euler-Lagrange |
|
| Tue |
7-Apr |
21. Variational Formulation |
|
| Thu |
9-Apr |
22. Gauss Divergence Theorem |
|
| Tue |
14-Apr |
23. Programming the Finite Element Method |
|
| Thu |
16-Apr |
24. Programming the Finite Element Method |
HW 4 due by 5 PM
HW 5 assigned |
| Fri |
17-Apr |
Grad Drop Deadline |
| Tue |
21-Apr |
25. Programming the Finite Element Method |
|
| Thu |
23-Apr |
26. Programming the Finite Element Method |
|
| Tue |
28-Apr |
27. Programming the Finite Element Method |
|
| Thu |
30-Apr |
28. Iterative Methods |
|
| Tue |
5-May |
29. Iterative Methods |
HW5 due by 5 PM |
| Thu |
7-May |
Optional Review Session in 1103 SC |
| Fri |
8-May |
Final Exam (7-10 PM) in 1214 SC |