## Doctoral Program

The Ph.D. students participate at an interdisciplinary doctoral program. The program consists of courses with a total of 36 ECTS credits (ECTS = European Credit Tranfer System; one ECTS credit corresponds to a work load of 30 hours). The students participate at the weakly Research Seminar of the Doctoral College (3 ECTS credits per semester, 18 ECTS credits in total). They present their scientific progress in the Research Seminar once per semester. Moreover, they enroll in lecture courses from Mathematics and Electro-engineering/Physics with a total of 18 ECTS credits. These courses may be taken from the following list (additional courses may be taken in agreement with the advisor).

## Courses

Courses on mathematics:

- Nonlinear partial differential equations
- Calculus of variations
- Time-dependent problems in science and engineering
- Seminar on partial differential equations
- Introduction to scientific computing
- Finite element methods
- Boundary element methods
- Iterative solvers for large linear systems
- Hierarchical matrices and fast-multipole methods
- Seminar on numerical analysis

Courses on electro-engineering and physics:

- Modeling of electronic devices
- Semiconductor electronics and devices
- Computational physics
- Physics of magnetic materials
- Physics of silicon semiconductor materials
- Optimization
- Control systems
- Seminar on control systems

The actual courses can be found in the information system TUWIS. All courses are given in English language on request.

## Projected Enrollment

A projected enrollment could be as follows:

Semester | Course | ECTS points |
---|---|---|

1 | Research Seminar | 3 |

Course | 4.5 | |

Course | 4.5 | |

2 | Research Seminar | 3 |

Course | 4.5 | |

Course | 4.5 | |

3 | Research Seminar | 3 |

4 | Research Seminar | 3 |

5 | Research Seminar | 3 |

6 | Research Seminar | 3 |

## Requirements for Ph.D. Graduation

The requirements for graduation are as follows:

- Fullfillment of the requirements of the Ph.D. Requirements
(
*Promotionsordnung*) of the Vienna University of Technology - Ph.D. thesis, written in English language and at least three reports (two advisors, one external, if possible international referee)
- Credits for courses and seminars (36 ECTS credits)
- Presentation of the Ph.D. thesis (
*Rigorosum*) according to the Ph.D. Requirements of the Vienna University of Technology

Generally, partial results of the Ph.D. thesis will be published during the Ph.D. program in international, peer-reviewed scientific journals.

The scientific work of the students is guided by their advisors. Besides, the students present their scientific progress once per semester during the research seminar to the faculty.