### Lectures:

Content: Time-discretization: Parabolic and hyperbolic problems.
On multigrid.

### Exercises:

Recommended, where Lx:y = exercise y under lecture x, E = exercise (pdef2-blandade övn), P = problem (Övningsexempel i PDE):

**Demo:**

P: 26

Demonstrate the derivation of interpolation error formulas for constant and linear interpolation based on Taylors formula (following CDE pr 5.9 &
5.13),

and the derivation of resulting estimates (inkl. CDE pr 5.14).

Discuss the generalization to PIECEWISE linear interpolation, and to 2 space dimensions.

L9:3 (2D a posteriori)

**Individual work:**

L10:2, 3, 4, 5, 6 (1D interp estimates)

L9:2 (1D interp estimates for the a posteriori analysis)

L10:8, 9 (generalization of a posteriori for ode model)

P: 19

P: 21b,c,d

/Claes

Last modified: Mon Oct 8 21:13:33 MET DST 2001