Department of Mathematics
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Model Reduction SoSe 2019
General Information
The modeling of complex physical and technical processes often leads to systems of ordinary differential equations consisting of several million of variables and equations. The numerical simulation, control, and optimization of such systems is then often too expensive or even impossible due to the large requirement of computational resources. The aim of model reduction therefore consists of approximating the large-scale dynamical system by a system with much fewer variables and equations. In particular, we will discuss efficient numerical methods as well as statements concerning the approximation quality such as error bounds. In this course we will discuss the following topics:
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Lecturer
Schedule
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Recommended Literature
In this course I will follow my lecture notes. You can also find the lecture notes on PaperHive, an online platform for discussing and annotating PDF documents. If you have questions or if something is unclear, you are welcome to leave a note there. Further literature:
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Exams
Exams will be oral and of about 40 minutes length. They can be taken in English or German (your choice). The exact dates for the exam will be announced later. |
Exercises
Every second week there will be an exercise session. It is highly recommended to work on the exercise sheets (and I would like that everybody presents some of his or her solutions on the blackboard).
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