1. Scientific Computing Lab
Institut für
Informatik
Scientific Computing in
Computer Science
Scientific Computing Lab
Partial Differential Equations
Stationary Equations
Dr. Miriam Mehl

2. Worksheet 2 – Solution
a) Plot the function p(t) in a graph

3. Worksheet 2 – Solution
b) Compute and plot approximate solutions with the help of explicit Euler and the method of Heun.

4. Worksheet 2 – Solution
b) Compute and plot approximate solutions with the help of explicit Euler and the method of Heun.

5. Worksheet 2 – Solution
d) Compute and plot approx. solutions with the help of implicit Euler and the Adams Moulton method.

6. Worksheet 2 – Solution
d) Compute and plot approx. solutions with the help of implicit Euler and the Adams Moulton method.

7. Worksheet 2 – Solution
d) Compute the approximation error for each case in b) and d).

8. Worksheet 2 – Solution
d) Compute the approximation error for each case in b) and d).

9. Stationary Partial Differential Equations
independent variables: space coordinates
boundary value problems
no start and end

10. Discretization functions operators finite difference/volume/element
large system of linear equations
typically sparse
finite difference/volume/element

11. Iterative Solution of Systems of Linear Equations
point-by-point processing
eliminate local error
iterate
Gauss-Seidel solver

12. More Information http://www.cse.tum.de/vtc/SciComp/
3.3 Discretizing partial Differential Equations
3.5 Iterative Solution of Large Sparse Linear Systems