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Efficient analysis of oscillatory circuits. (English) Zbl 1014.65069

Van Rienen, Ursula (ed.) et al., Scientific computing in electrical engineering. Proceedings of the 3rd international workshop, Warnemünde, Germany, August 20-23, 2000. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 18, 225-232 (2001).
Summary: Circuit simulation is a standard task in the computer-aided design of electronic circuits. The generation of the circuit equations leads to differential-algebraic equations. With respect to the analysis of oscillatory circuits, periodic solutions are of major interest. For highly oscillatory circuits, direct methods are used to obtain the limit cycle efficiently. An efficient shooting method for solving the associated boundary-value problem of the differential-algebraic network equations is presented. Also, the applicability of a shooting method with implicitly used sensitivity is demonstrated.
For the entire collection see [Zbl 0970.00032].

MSC:

65L80 Numerical methods for differential-algebraic equations
34A09 Implicit ordinary differential equations, differential-algebraic equations
34C25 Periodic solutions to ordinary differential equations
94C05 Analytic circuit theory
78A55 Technical applications of optics and electromagnetic theory
78M25 Numerical methods in optics (MSC2010)