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蒋耀林
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期刊论文
Wayeform Relaxation of Nonlinear Second-order Differential Equations*
This paper was published in IEEE Trans. Circuits and System-Part I (vol. 48, no.11, pp. 1344-1347, 2001).，-0001，（）：
In this paper wc give a simple theorem Oil the waveform relaxation (WR) solution for a systenl of nonlinear SOeOnd-order diffcrential equations It is shown that if the nornl of certain matrices derived froln the Jacobians of the systenl equations is less than one, then the WR solution converges It is also the first tillle that a convergence condition is obtained for this general kind of nonlinear systems in the WR literarture Numerieal experinlents arc providcd to confirm the theoretical analysis.
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