Welcome to Iris' World!
Xiaoxue Gong
Office: Harriman 016
Hello! Welcome to my homepage!
I am a PhD student in computational and applied mathematics.
I come from Anhui, China and graduated from Fudan University.
Teaching Assistant
| Time |
Course Number |
Course name |
| Fall 2010 |
AMS301 |
Education
B.S. in Mathmatics and Applied Mathematics at School of Mathematics;
Fudan University, China.
Music
Numerical Solutions of Wave Equation with different schemes
HW1: U_t+U_x = 0
1. Upwind Scheme:
2. Leapfrog Scheme:
3. Lax-Friedrich Scheme:
4. Lax-Wendroff Scheme:
5. MacCormack Scheme:
6. Downwind Scheme with CFL=1/3:
7. Center Difference Scheme with CFL=1/3:
HW2: U_t+aU_x = 0, Implicit Schemes
Central Implicit Scheme, CFL= 0.8
Central Implicit Scheme, CFL=1.5
Crank Nicolson Scheme, CFL=0.8
Crank Nicolson Scheme, CFL=1.5
HW2: U_t+AU_x = 0,
upwind Scheme, CFL= 2.72
N=800 |
lax-wendroff Scheme, CFL= 2.72
N=800 |
Assignment 4
HW4_2&&HW4_3: U_t+U*U_x = 0
1. Lax_friedrich Scheme:
2. Lax_Wendroff Scheme:
3. Godunov Scheme:
4. Godunov Scheme with Roe approximation:
5. Godunov Scheme with En-osher approximation:
6. Godunov Scheme with wan leer approximation:
HW4: U_t+U*U_x = 0
1. Superbee limiter:
2. Van Leer limiter:
3. C-O limiter:
HW5: U_t+U*U_x = 0
1. Superbee limiter:
2. Van Leer limiter:
3. C-O limiter:
HW5: U_t+U*U_x = 0
1. Solution using Jacobi method
2. Solution using Gauss-Seidel method
>
Last updated 10/18/2010
