Here, M is the order of approximation and y ˜ is the approximate answer for Eq. (21).
Thus, using the formulas and matrices above, the third order of approximation difference scheme with matrix coefficients for the approximate solution of Cauchy problem (102) is obtained.
On the other hand, the GREG estimator is not unbiased, but unbiased up to the first order of approximation, its variance is unknown and must be approximated up to the first order approximation (Särndal et al. 1993, Result 6.6.1).
The corresponding nonlinear FIFD scheme is stable and gives the same order of approximation.
The validity and order of approximation of the proposed method is demonstrated through an example model.
Results of test computations for problems with linear and curvilinear discontinuities confirm second order of approximation.
196 (2006) 162 179], a general method is proposed to increase the approximation order of approximation operators.
A unique feature of this approach is its ability to control the accuracy by choosing the appropriate order of approximation.
Once the full circuit simulations are available it is possible to tune equivalent circuits and evaluate the order of approximation errors.
To minimize the error of FEM solution the mesh should be refined close to the singularities by sub-dividing elements and increasing the polynomial order of approximation.
The higher the order of the spectral functions, the more accurate is the order of approximation of the stochastic system response.
