| Abstract |
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| Waveform relaxation (WR) methods for second order equationsy''=f(t,y)are studied. For linear cases, the methods converge superlinearly for any splittings of the coefficient matrices. For nonlinear cases, the methods converge quadratically only for waveform Newton methods. It is shown, however, that the methods converge superlinearly for approximate Jacobian matrices, which is confirmed by the numerical experiments. The accuracy, execution times and speedup ratios of the WR methods on a parallel computer are discussed. |
| Contact |
| Kazufumi OZAWA Graduate School of Information Science,Tohoku University,980-8576, Aoba-ku Kawauchi, Sendai, JAPAN, ozawa@dais.is.tohoku.ac.jp |