Coupled Multiscale Simulation and Optimization in Nanoelectronics (Mathematics in Industry)

Designing complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, thermal, electromagnetic) and in a range of electrical engineering disciplines (logic, timing, power, crosstalk, signal integrity, system functionality). COMSON was a Marie Curie Research Training Network created to meet these new scientific and training challenges by (a) developing new descriptive models that take these mutual dependencies into account, (b) combining these models with existing circuit descriptions in new simulation strategies and (c) developing new optimization techniques that will accommodate new designs. The book presents the main project results in the fields of PDAE modeling and simulation, model order reduction techniques and optimization, based on merging the know-how of three major European semiconductor companies with the combined expertise of university groups specialized in developing suitable mathematical models, numerical schemes and e-learning facilities. In addition, a common Demonstrator Platform for testing mathematical methods and approaches was created to assess whether they are capable of addressing the industry’s problems, and to educate young researchers by providing hands-on experience with state-of-the-art problems.  Part I Introduction: 1 The COMSON Project: Michael Gnther and Uwe Feldmann.- Part II Partial Differential Algebraic Equations: 2 PDAE Modeling and Discretization: Giuseppe Al, Massimiliano Culpo, Roland Pulch, Vittorio Romano and Sebastian Schps.- 3 Simulation of Coupled PDAEs – Dynamic Iteration and Multirate Simulation: Giuseppe Al, Andreas Bartel, Michael Gnther, Vittorio Romano and Sebastian Schps.- Part III Model Order Reduction: 4 Model Order Reduction – Methods, Concepts and Properties: Athanasios C. Antoulas, Roxana Ionutiu, Nelson Martins, E. Jan W. ter Maten, Kasra Mohaghegh, Roland Pulch, Joost Rommes, Maryam Saadvandi and Michael Striebel.- 5 Parameterized Model Order Reduction: Gabriela Ciuprina, Jorge Fernndez Villena, Daniel Ioan, Zoran Ilievski, Sebastian Kula, E. Jan W. ter Maten, Kasra Mohaghegh, Roland Pulch, Wil H.A. Schilders, L. Miguel Silveira, Alexandra Stefnescu and Michael Striebel.- 6 Advanced topics in Model Order Reduction: Davit Harutyunyan, Roxana Ionutiu, E. Jan W. ter Maten, Joost Rommes, Wil H.A. Schilders and Michael Striebel.- Part IV Optimization: 7 Optimization Methods and Applications to microelectronics CAD: Salvatore Rinaudo, Valeria Cinnera Martino, Franco Fiorante, Giovanni Stracquadanio and Giuseppe Nicosia.- Part V COMSON Methodology: 8 COMSON Demonstrator Platform: Georg Denk, Tamara Bechtold, Massimiliano Culpo, Carlo de Falco, and Alexander Rusakov.- 9 eLearning in Industrial Mathematics with applications to Nanoelectronics: Giuseppe Al, Eleonora Bilotta, Lorella Gabriele, Pietro Pantano, Jos Seplveda, Rocco Servidio, and Alexander Vasenev.- Index.