Numerical differentiation of implicitly defined curves

作者: Muhammed I. Syam , Hani I. Siyyam

DOI: 10.1016/S0377-0427(99)00106-5

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摘要: Abstract In this paper we develop a finite differencing device to calculate approximations of derivatives c′(0), c″(0),… regular solution curves c : R ∋s→c(s)∈ n nonlinear systems equations f(x)=0, f∈C k ( n+1 , ) without having compute points on the curve s ). The derivative vectors can be used in numerical approximation set f −1 (0) construct higher-order predictors predictor–corrector continuation method.

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