In [18], with a prior condition on the solution, we use the spectral method with a regularizing filter function to approximate problem (1.1) to give an error of the order of (varepsilon^{t/T}).
Although there are some caveats associated with modelling of the in vivo tissue concentrations based on an in vitro reconstructed skin model, it is clear that the hBD-2 levels in epidermis and papillary dermis are well above the minimal concentrations that would cause a biological effect in an experimental setting, even allowing for an error of one order of magnitude.
end{aligned}This provides a Hölder bound on the curves (x^tau ) (with a negligible error of order (sqrt{tau }) which disappears at the limit (tau rightarrow 0)), and allows to extract a converging subsequence.
This numerical method provides a low-cost computational algorithm with an accuracy, which allows recovering the reflected phenomena from the ocean fine structure, and moreover, with a spurious error of order −100 dB from the PML domain.
Comptroller Alan G. Hevesi said yesterday that one of his rivals for the Democratic mayoral nomination, City Council Speaker Peter F. Vallone, was making an "error of the first order" by ruling out future budget cuts for the Parks Department but not for the Police Department or the Board of Education.
To persist in thinking that he defines the problem is to commit an error of the first order.
The results in this table show that with few numbers of retained modes we obtained a maximum pointwise error of order 10−8.
Table 1 shows that our methods have better accuracy compared with the quintic nonpolynomial spline method developed in [22]; it is also shown that, in the case of solving linear system of order 14, we obtain a maximum absolute error of order.
Propagate these points through the model Estimated expectation and variance covariance of the transformed variable based on the sigma-points are given by the linearly weighted sums (16) (17) with weights and According to Julier et al. (2000), the errors of the expectation estimate is of fourth and higher order, whereas the variance covariance estimates have an error of fourth and higher order.
It is shown that the lower and upper approximations converge with an error, approximately, of order 10-9 just after three iterations.
