1. Scientific Computing Lab
Institut für
Informatik
Scientific Computing in
Computer Science
Scientific Computing Lab
Ordinary Differential Equations
Explicit Discretization
Dr. Miriam Mehl

2. Ordinary Differential Equations
typical: development of a variable over time
radioactive decay
- Question to students: which term describes the development of a variable y over time

3. Ordinary Differential Equations
typical: development of a variable over time
pendulum
- Question to students: which term describes the development of a variable y over time

4. Ordinary Differential Equations
typical: development of a variable over time
populations P and Q – competition
- Question to students: which term describes the development of a variable y over time

5. Ordinary Differential Equations
typical: development of a variable over time
populations P and Q – predator-prey
- Question to students: which term describes the development of a variable y over time

6. Explicit Discretization
explicit Euler
method of Heun
Runge-Kutta

7. What is Efficiency?
number of operations?
runtime?
accuracy?

8. What is Efficiency? number of operations? runtime? accuracy?
relation accuracy/cost !!!!!

9. Convergence
definition:
experimental computation?

10. More Information http://www.cse.tum.de/vtc/SciComp/
3.2 Discretizing Ordinary Diferential Equations