| Date |
List of Topics |
Reading material |
Related Codes |
Assignment |
Remarks |
| July
2 |
MATLAB Tutorial and MATLAB Solvers for ODE (IVP) | MATLAB
Slide; Taylor
series [TB] Appendix E; [R1] Appendix A: ODE Solvers; |
learn
Cheat-Sheet Codes ivp_ex2.m ; yp.m; prey_prd_drive.m; prey_prd.m |
MATLAB Onramp |
Solving
ODEs Getting Started (video) Another MATLAB Tutorial Lorenz ODE system |
| July
3 |
Finite
Difference Approximations |
[TB]
Chap 1 |
chap1example1.m;
fdstencil.m fdcoeffV.m; fdcoeffF.m |
Forberg's
algorithm paper |
|
| July
4 |
University
Holiday. No Class! |
|
|||
| July
5 |
Finite
Difference Methods for ODE(BVP) |
[TB]
Chap 2 |
main.m;
[R1] two_point.m; [R1] |
[R1] Chap 2, Sec 2.1 | |
| July 6 | |||||
| July
9 |
Finite
Difference Methods for ODE(BVP) |
[TB] Chap 2 | bvp_2a.m
(Dirichlet BC); |
Project 1 Due. | Linear
Algebra Cheatsheet |
| July
10 |
Finite Difference Methods for ODE(BVP) | [TB]
Chap 2 |
chap2fig2.m;
bvp_2.m (Neumann BC); bvp_4.m; bvp_spectral.m; |
speye spalloc Chebyshev points |
|
| July
11 |
Finite Difference Methods for ODE(BVP) | [TB]
Chap 2 |
chap2page35.m bvp_2c.m (v.s. chap2page35.m) |
spdiags |
|
| July
12 |
Finite Difference Methods for ODE(BVP) | [TB]
Chap 2 |
non_tp.m; [R1] chap2page39.m chap2page36symsys.m |
fsolve Jacobian matrix |
|
| July 13 | Finite Difference Methods for ODE(BVP) | [TB] Chap 2 | tic/toc (for CPU time) | make-up lecture | |
| July
16 |
Finite Difference Methods for Elliptic PDEs (2D) | [TB]
Chap 3 |
chap2page39.m
(Newton solver) bratubvp.m(use of bvp4c) absbvp.m (use of bvp4c) poisson.m |
Project 2 Due. | MATLAB's
bvp4c (paper, slide) bvp4c tutorial examples (zip file) gallery (choice: 'tridiag','poisson') |
| July
17 |
Finite Difference Methods for Parabolic PDEs | [TB] Chap 9 | heat_CN.m heat_CN_test.m |
||
| July
18 |
Finite Difference Methods for Hyperbolic PDEs | [TB] Chap 9 |
|
||
| July
19 |
Finite Difference Methods for Hyperbolic PDEs | [TB] Chap 10 |
advection_LW_pbc.m advection_LW_pbc_test.m |
Lax-Friedrichs
(lax_fred.m) Upwind(upwind.m) More related codes check this |
|
| July 20 | Finite Difference Methods for Hyperbolic PDEs | [TB] Chap 10 | linearAdvection_JA.m |
make-up lecture | |
| July
23 |
Finite Difference Methods for Hyperbolic PDEs | [TB] Chap 10 | advection3schemes_noBC.m |
Project 3 Due. | |
| July 24 |
Conference Travel. No Class! |
Online QA | |||
| July 25 |
Conference Travel. No Class! |
Online QA | |||
| July
26 |
Conference Travel. No Class! |
Online QA | |||
| July 27 | Conference Travel. No Class! | ||||
| July
30 |
Iterative Solvers for Sparse Linear Systems | [TB] Chap 4 | iter_bvp_Asplit.m |
Project 4 Due. | |
| July
31 |
Multigrid Solvers for Sparse Linear Systems | [TB] Chap 4.6; A Multigrid Tutorial; | SecondFD1dMG.m |
|
pcg of
MATLAB A Multigrid Course Page The Multigrid Tutorial Book |
| Aug
1 |
Von Neumann Stability Analysis & Review | [TB]
Chap 9.6; [R1] Chap 4.4; Review; |
A
short slide |
||
| Aug 2 |
Final
Exam (comprehensive) |
Practice Exam |
Project 5 Due. | NewtonPi.m |
|
| Aug 3 |