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

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

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

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

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

Explicit Discretization explicit Euler method of Heun Runge-Kutta

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

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

Convergence definition: experimental computation?

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