MAE 290B, Winter 2010
HOMEWORK 1 Due Mon 01-18-2010 in class Provide source codes used to solve all problems
PROBLEM 1 Consider the generalized family of Euler schemes un+1 = un + F (un , tn ) + F (un+1 , tn+1 ) t with + = 1. 1. Show that the condition +
MAE 290B, Winter 2010
HOMEWORK 3 Due Mon 02-01-2010 in class Provide source codes used to solve all problems
PROBLEM 1 Discretize the real functions u(x) = cos(10x), v (x) = cos(8x), and w(x) = u(x)v (x) over the interval 0 x < 2 , on the grid points xj =
MAE 290B, Winter 2010
HOMEWORK 3 Due Wed 02-24-2010 in class Provide source codes used to solve all problems
PROBLEM 1 Consider the advection - diusion equation t u + cx u = xx u, 1. Discretize this equation spatially using 2nd-order centered nite dierenc
MAE 290B, Winter 2010
HOMEWORK 5 Due Wed 03-03-2010 in class Provide source codes used to solve all problems
PROBLEM 1 Integrate numerically Burgers equation t u + ux u = xx u, in the domain x < with periodic boundary conditions and initial conditions u(x
MAE 290B, Winter 2010
HOMEWORK 6 Due Wed 03-10-2010 in class Provide source codes used to solve all problems
PROBLEM 1 Calculate the steady temperature distribution in a square plate (0 x < 2 , y < ) that is kept at T (x = 0, y ) = sin2 (y ) on one end an
MAE 290B, Winter 2010
HOMEWORK 2 Due Mon 01-25-2010 in class Provide source codes used to solve all problems
PROBLEM 1 Consider the non-linear ODE set dt u + 3v 2 u 3w2 v = sin(5t), dt v + 10u3 v 3 2uw uvw2 = 0, dt w + 6w3 10 sin(uv 3 ) = 0. with initial
MAE 290B Course Winter 2010. Juan C. del lamo Recommended Course Books. 1. C. Pozrikidis, Numerical Computation in Science and Engineering (Poz). 2. T. Bewley, Numerical Renaissance (Tom). 3. C. Canuto, M. Y. Hussaini, Alfio Quarteroni, T. A. Zang Spectra
D RA FT
Diablo 13. Case study: turbulence simulation 11. PDEs 8. Differentiation
16. Derivative-based minimization
5. Spectral methods
10. ODEs 9. Integration
12. High-performance computing
7. Data
17. Linear systems
A. Mathematics
4. Linear alg