PABTEC swMATH ID: 4061 Software Authors: Tatjana Stykel, Andreas Steinbrecher, Hatim Aziz Salih Description: The efficient and robust numerical simulation of electrical circuits plays a major role in computer aided design of electronic devices. While the structural size of the electrical devices is decreasing, the complexity of the electrical circuits is increasing. This usually leads to a system of model equations in form of differential-algebraic equations (DAEs) consisting up to millions or even more unknowns. Simulation of such large models is mostly impossible or, at least, unacceptably time and storage consuming. Model order reduction presents a way out of this dilemma. A general idea of model order reduction is to replace a large-scale system by a much smaller model which approximates the input-output relation of the large-scale system within a required accuracy. The present the MATLAB-Toolbox PABTEC - PAssivity-preserving Balanced Truncation method for Electrical Circuits is designed for model order reduction and numerical integration of model equations of electrical circuits. Homepage: http://page.math.tu-berlin.de/~anst/Forschung/Circuits/PABTEC/ Programming Languages: MATLAB Dependencies: MATLAB Keywords: MNA analysis; PABTEC; differential-algebraic equations; electrical circuits; model reduction; passivity; stability; index Related Software: Matlab; STCSSP; mctoolbox; PMTBR; toms/782; RRQR; SIMPACK; NLEVP; Loewner; PSAPSR; benchmodred; Seigtool; Eigtool; deal.ii; DASSL; SuperLU; rbMIT; RODAS; JDQR; Algorithm 854 Cited in: 11 Publications all top 5 Cited by 17 Authors 4 Stykel, Tatjana 3 Benner, Peter 2 Mehrmann, Volker 2 Simoncini, Valeria 2 Voigt, Matthias 1 Buscarino, Arturo 1 Fortuna, Luigi 1 Frasca, Mattia 1 Hinze, Michael 1 Losse, Philip 1 Matthes, Ulrich 1 Poloni, Federico G. 1 Reis, Timo 1 Riaza, Ricardo 1 Schröder, Christian 1 Son, Nguyen Thanh 1 Xibilia, Maria G. all top 5 Cited in 7 Serials 1 Journal of the Franklin Institute 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Linear Algebra and its Applications 1 Advances in Computational Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Tesi. Scuola Normale Superiore di Pisa (Nuova Serie) all top 5 Cited in 8 Fields 7 Numerical analysis (65-XX) 7 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year