Coupled problems often comprise lumped elements, which are described by pure topological quantities, and distributed elements with space dimension of one to three. Modelling these systems yields partial differential-algebraic systems, for short PDAEs, which link differential-algebraic (DAE) models for lumped elements with PDE models for distributed ones. DAE and PDE models are linked by source terms and boundary conditions. The block course will analyse PDAE models from a modelling perspective based on applications from different fields, an analytic perspective (well-posedness, sensitivity and property preservation), as well as a numerical perspective (co-simulation and dynamic iteration, multirate and MOR schemes). The course will combine theoretical lectures with hands-on experiences gained by lab exercises.
The Department of Mathematics and Computer Science of Catania University, jointly with the Fraunhofer Institut für Techno-Wirtschaft Mathematik (Kaiserslautern) and the Consorzio Catania Ricerche organize a series of summer schools on "Computational Methods for Microelectronics". The schools are in the spirit of the SCEE (Scientific Computing in Electrical Engineering) events and are a follow up of the SCEE2004 conference which was held in Capo D'Orlando in the period 5-9 september 2004. The aim of the SCEE events is to bring together PhD students, junior and senior scientists from universities and industry with the goal of intensive discussions about modelling and numerical simulation of electronic circuits and of electromagnetic fields. The events are mainly directed at mathematicians and electrical engineers. Developers of algorithms and programs shall come to know recent advances on the other fields as well as open problems coming from industry; industry shall come to know new program tools and mathematical methods.
There were two modules:
Advanced Mathematical and Computational Methods for the Design Optimization of Electronic Circuits (5-9 Sept 2005)
Advanced Mathematical and Computational Methods for the Design Centering of Electronic Circuits (12-17 Sept 2005)