Challenges in Model Order Reduction for Industrial Problems

Mathematical challenges arise in many applications in the electronics industry. Device and circuit simulation are well-known examples, and in industry these are typically crucial for circuit and layout optimization. Model order reduction is one of the available tools, and we show when and how, and when not, to use this. We will give an overview of the challenges we are facing, explain how we try to conquer these, discuss the requirements we have to deal with, and indicate where improvements are needed.