Inexact Newton methods for the steady state analysis of nonlinear circuits. (English) Zbl 0852.65065
The author gives the steady state analysis of a class of nonlinear circuits with quasiperiodic excitation. The original problem is described by a set of delay differential equations corresponding to the nonlinear subnetwork and by integral equations corresponding to the linear subnetwork. With the help of the harmonic balance method originating from Galerkin’s procedure the initial problem reduces to the solution of a system of nonlinear algebraic equations to which Newton’s algorithm is applied. Some numerical results are provided and some conclusions are drawn up.
Reviewer: Yu.V.Rogovchenko (Kiev)
MSC:
65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |
94C05 | Analytic circuit theory |
65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |