Here, and throughout the paper, we will assume that x0 ≤ x1 ≤ . . . ≤ xn are arbitrarily spaced real values and x is any real value in the interval [x0, xn]. We refer the reader to Conte and de Boor [1 ] for basic properties of divided differences. Two things are required: evaluation of the coefficients ck; and a bound on the remainder term Rp in terms of the maximum grid spacing h := max 0≤i≤n...

A method is described for calculating the scattering of electromagnetic waves by a grid of equally spaced parallel cylindrical wires with finite conductivity. It is an adaptation of the ‘Green function’ method used in solid-state band-structure theory, as described by Ham and Segall. In this paper the theory is restricted to the case when the direction of incidence is in a plane perpendicular t...

A standard method for visualizing vector elds consists of drawing many small \glyphs" to represent the eld. This paper extends the technique from regular to curvilinear and unstructured grids. In order to achieve a uniform density of vector glyphs on nonuniformly spaced grids, the paper describes two approaches to resampling the grid data. One of the methods, an element-based resampling, can be...

We are concerned with the reconstruction of a regularly-sampled image based on irregularly-spaced samples thereof. We propose a new iterative method based on a cubic spline representation of the image. An objective function taking into account the similarity to the known samples and the regularity of the function is minimized in order to obtain a good approximation. We apply the developed algor...

We propose occupying the guard bands in closely spaced WDM systems with redundant signal spectral components to increase tolerance to frequency misalignment and channel shaping from multiplexing elements. By cyclically repeating the spectrum of a modulated signal, we show improved tolerance to impairments due to add/drop multiplexing with a commercial wavelength selective switch in systems usin...

in this work, we study the performance of the sinc-collocation method for solving bratu's problem. for different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. the comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with

Many applications in a variety of scientific domains produce datasets that consist of a data field lying on a sampling grid that may not be uniformly spaced. However, progressive access for visualization, exploration, and communication of these datasets is a critical issue, and wavelet-based embedded coding an attractive solution given its prior success in realms such as image coding. As grid i...

Abstract. We present a Bayesian analysis for recurrent events data using a nonhomogeneous mixed Poisson point process with a dynamic subject-specific frailty function and a dynamic baseline intensity func- tion. The dynamic subject-specific frailty employs a dynamic piecewise constant function with a known pre-specified grid and the baseline in- tensity uses an unknown grid for the piecewise ...

A robust finding in the literature is that spacing material leads to better retention than massing; however, the benefit of spacing for concept learning is less clear. When items are massed, it may help the learner to discover the relationship between instances, leading to better abstraction of the underlying concept. Two experiments addressed this question through a typical function learning t...