- Athanasios C. Antoulas: Approximation of Large-Scale Dynamical Systems, SIAM 2005
- T. Bechtold, E. B. Rudnyi, J. G. Korvink: Fast Simulation of Electro-Thermal MEMS: Efficient Dynamic Compact Models, Springer Verlag, Heidelberg,Series: MEMS and Microtechnology, (ISBN 978-3-540-34612-8), (2006).
- T. Bechtold, G. Schrag, L. Feng (eds), System-Level Modeling of MEMS, (Wiley-VCH Verlag GmbH & Co. KGaA, ISBN: 3527319034), 2013
The time dependent behaviour of microsystems, often including coupled physical effects (e.g., mechanical and electrical coupling), is of great importance for their design and application. Through the spatial discretization of the governing partial differential equations, for example using the finite element method, we obtain very large ordinary differential equation systems, which often cannot be solved efficiently. In this lecture you will be introduced to Model Order Reduction Methods, which allow to automatically obtain smaller/compact models, enabling so, efficient but accurate simulation of the same multi-physical phenomena. The methods will be demonstrated on a number of relevant microsystem applications.