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Computer Aided Generation of Approximate DAE Systems for Symbolic Analog Circuit Design
Author(s) -
Wichmann T.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20010811592
Subject(s) - set (abstract data type) , computer science , analogue electronics , nonlinear system , algebraic number , differential algebraic equation , focus (optics) , electronic circuit , algebraic equation , analog computer , differential equation , algorithm , theoretical computer science , mathematics , ordinary differential equation , engineering , mathematical analysis , physics , electrical engineering , optics , quantum mechanics , programming language
The behavior of nonlinear analog circuits is described by a set of differential algebraic equations (DAE). We are developing simplification and approximation methods which can be applied to this DAE system in order to generate a reduced symbolic system, where a user given error bound is assured automatically. Either the reduced system can be analyzed further to achieve a better understanding of the circuit's behavior or it can be used as a behavioral model which can be solved numerically easier and faster. In the following we will focus on two aspects of the algorithm: simplification of subexpressions and monitoring of the index during simplification.