# Computational Methods in Technical Physics

## Winter Term 2017/18

Practical exercise (short: UE for german "Uebung") for the lecture **Computational Methods in Technical Physcis (PHY.L30_UF)** at the Technical University Graz. Details concerning the lecture or the UE can be found at the TUG-Online.

The exercises take place at the computer room in the cellar of Physics Institute of the Technical University Graz (PHK1130). There are 3 Groups due to the large amount of participating students (*: My Groups):

Group 1 | 14:45 - 16:15 |

Group 2 | 16:30 - 18:00 |

Group 3: | 18:15 - 19:45 |

## Course Content

The course gives an introduction to numerical concepts used in physics. At the beginning basics about numerics such as **numerical errors** are introduced.

The first Assignment is about **interpolation** (using also **Fourier transformation**) and **least square fits**.

The second Assignment is about **Eigenproblems**. Since solving eigenvalue problems is of great importance for physics different approaches of solving them are used.

The third Assignment is about **numerical solution of equations** and **solving linear systems** (mainly using the **Gauss-Seidel method**).

The fourth Assignment is about **numerical integration**, **differentiation** and **solving differential equations**. Therefore the **Runge-Kutta method** is used since it can be used to tackle a lot of different problems appropriately.

## Exercise Mode

A detailed description about the grading scheme can by downloaded by registered students via the TeachCenter-Course.

## Supplemental Material

All supplemental material is only accessible for registered students via the TeachCenter-Course.

### Literature

The following list contains literature used in the lecture and some additional books favored by the siteowner. The books are ascending in complexity.

*E. Schachinger*: "Computermethoden der Technischen Physik (PHY.L20) - Basic Computational Methods in Physics" (Lecture Notes), (2018)*W. Press, S. Teukolsky, W. Vetterling, B. Flannery*: "Numerical Recipes: The Art of Scientific Computing", Third Edition (2007)*B. Stickler, E. Schachinger*: "Basic Concepts in Computational Physics", Second Edition (2016)

### Bernd Riederer

**Institut für Physik**

Mozartgasse 14/II

Room 0025-02-0004

8010 Graz

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WS 2017/18 **|** Comp. Meth. UE

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**|**Comp. Meth. UE

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