Challenges in Model Order Reduction for Industrial Problems

作者: Joost Rommes

DOI: 10.1007/978-3-642-22453-9_39

关键词: ElectronicsManufacturing engineeringModel order reductionComputer scienceMathematical challenges

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

参考文章(19)
Eric James Grimme, Krylov Projection Methods for Model Reduction University of Illinois at Urbana Champaign. ,(1997)
Joost Rommes, H. A. van der Vorst, Wilhelmus H. A. Schilders, Model Order Reduction: Theory, Research Aspects and Applications ,(2014)
Athanasios C. Antoulas, Approximation of Large-Scale Dynamical Systems ,(2005)
H VANDERVORST, Computational methods for large eigenvalue problems Handbook of Numerical Analysis. ,vol. 8, pp. 3- 179 ,(2002) , 10.1016/S1570-8659(02)08003-1
A. Di Bucchianico, T.S. Doorn, A. Bargagli, J.A. Croon, E.J.W. ter Maten, O. Wittich, Importance sampling for high speed statistical Monte- Carlo simulations CASA-report. ,vol. 0937, ,(2009)
Thilo Penzl, Algorithms for model reduction of large dynamical systems Linear Algebra and its Applications. ,vol. 415, pp. 322- 343 ,(2006) , 10.1016/J.LAA.2006.01.007
Tatjana Stykel, Gramian-Based Model Reduction for Descriptor Systems Mathematics of Control, Signals, and Systems. ,vol. 16, pp. 297- 319 ,(2004) , 10.1007/S00498-004-0141-4
Jing-Rebecca Li, Jacob White, Low Rank Solution of Lyapunov Equations SIAM Journal on Matrix Analysis and Applications. ,vol. 24, pp. 260- 280 ,(2002) , 10.1137/S0895479801384937
Matthias Heinkenschloss, Danny C. Sorensen, Kai Sun, Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations SIAM Journal on Scientific Computing. ,vol. 30, pp. 1038- 1063 ,(2008) , 10.1137/070681910