# Lecture WS 19/20 Wissenschaftliches Rechnen I

## Scientific Computing I

Please write your names on the exercise sheets a clear and readable way and please staple your submissions if they consist of more than one sheet.

### Schedule

#### Lecture

- Tuesday, 10 - 12
- Thursday, 8 - 10 in Zeichensaal, Wegelerstraße 10.

#### Exercise classes

The two exercise classes take place at

- Wednesday, 8 - 10,
- Wednesday, 12-14.

If there is need for adaption these dates will possibly discussed in the second week again.

### Exercises

Exercise sheets will be uploaded every week *on thursday* on this homepage and have to be submitted one week later **thursday morning before the lecture.** **Submission has to be done in groups of 3 students each.**

Programming exercises will be done in python utilizing numpy/scipy. We recommend to use anaconda and jupyter notebooks. To submit the programming exercise please send the respective file to your tutor by Email til thursday morning before the lecture. Make sure that your code and your results are sufficiently commented and formatted (which is easy in jupyter notebooks…). Please submit the programming exercises in the same 3-student-group as the theory exercise sheets.

The first exercise sheet well be uploaded during the first week, submitted in the second week and discussed in the tutorials of the third week… For the tutorials of the second week there will be an attendance sheet.

- Sheet 1. Correction of typos in exercise 1 and 4 (see pdf). In Exercise 4c it is ok to assume $(Lu)(x) < 0$ (strict inequality) for all $x \in \mathbb{R}^n$.
- Attendance sheet. For the tutorials of the second week there is an attendance sheet you can work on during the tutorial.
- Sheet 2.

### Exam

There will be a written exam, see the official information of the Bachelor Master office.

**In order to take part in the final exam you have to collect 50 percent of the points of the theory exercises AND 50 percent of the points in the programming exercises during the semester.**

### Literature

- D. Braess: Finite Elemente, Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie. Springer, 2013
- D. Braess: Finite elements, theory, fast solvers, and applications in elasticity theory. Camebridge University Press, 2007.
- S. C. Brenner, L. R. Scott: The mathematical theory of finite element methods. Springer, 2008.
- H. W. Alt: Lineare Funktionalanalysis, Eine anwendungsorientierte Einführung. Springer, 2012.
- H. W. Alt, R. Nürnberg: Linear Functional Analysis, An application-oriented introduction. Springer, 2016.