Electrical circuits usually contain nonlinear components. Hence we are interested in MOR methods that can be applied to a system of nonlinear Differential-Algebraic Equations (DAEs). In particular we consider the TPWL (Trajectory PieceWise Linear) and POD (Proper Orthogonal Decomposition) methods. While the first one fully exploits linearity, the last method needs modifications to become efficient in evaluation. We describe a particular technique based on Missing Point Estimation.
|Title of host publication||Proceedings of the 6th International Congress on Industrial Applied Mathematics (ICIAM 2007), 16-20 July 2007, Zürich, Switzerland,|
|Publication status||Published - 2007|
|Name||PAMM, Proceedings in Applied Mathematics and Mechanics|
Verhoeven, A., Voss, T., Astrid, P., Maten, ter, E. J. W., & Bechtold, T. (2007). Model order reduction for nonlinear problems in circuit simulation. In Proceedings of the 6th International Congress on Industrial Applied Mathematics (ICIAM 2007), 16-20 July 2007, Zürich, Switzerland, (pp. 1021603-1021604). (PAMM, Proceedings in Applied Mathematics and Mechanics; Vol. 7(1)). https://doi.org/10.1002/pamm.200700537