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A general approach to waveform relaxation solutions of nonlinear differential-algebraic equations: the continuous-time and discrete-time cases

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1 Author(s)
Yao-Lin Jiang ; Sch. of Sci., Xi'an Jiaotong Univ., China

For a general class of nonlinear differential-algebraic equations of index one, we develop and unify a convergence theory on waveform relaxation (WR). Convergence conditions are achieved for the cases of continuous-time and discrete-time WR approximations. Most of known convergence results in this field can be easily derived from the new theory established here.

Published in:

IEEE Transactions on Circuits and Systems I: Regular Papers  (Volume:51 ,  Issue: 9 )