Content

Aim of this lecture is to learn and deepen central aspects in the area of Scientific Computing.

Scientific Computing is an interdisciplinary research area linking topics from applied mathematics and modelling with computer science.

What will you learn?

• What is Scientific Computing
• Pratical links to (i) applications (ii) modelling (iii) numerical methods
• Programming expericence

For different concrete examples, we will go through the different steps from modelling, via the numerical model to the final simulation. In this course the two main questions will always be the choice and analysis of appropriate numerical methods and their efficient implementation.

The models we discuss always fall into the domain of differential and partial differental equations (ODE & PDE). For many applications the classical numerical methods are not the best choice, .e.g. for physical problems we are usually not only interested in an approximation of the PDE, but the problem has some fundamental conservation properties, which should also be fulfilled numerically. Such additional requirements influence our choice of the numerical method and we will learn additional methods which go beyond the scope of the numerics lectures.

His-LSF Kurs