We identify several new quasicrystal approximants in alloy systems in which quasicrystals have not been previously reported. Some occur in alloys with large size contrast between the constituent elements, either containing small Boron atoms, or large Ca/Eu atoms, leading to quasicrystal structures quite different from currently known systems where the size contrast is smaller. Another group of ...

Analyzing the crystal structure of approximants is of vital importance in deriving structural information of building units (or basic clusters) and their arrangements toward icosahedral quasicrystals (IQCs). The acquired knowledge is essential in performing a hyper-space modeling, which is the only feasible way of today to elucidate the structural details of IQC’s. Since approximants are period...

For a recent new numerical method for computing so-called robust Padé approximants through SVD techniques, the authors gave numerical evidence that such approximants are insensitive to perturbations in the data, and do not have so-called spurious poles, that is, poles with a close-by zero or poles with small residuals. A black box procedure for eliminating spurious poles would have a major impa...

A differential reproducing kernel (DRK) approximation-based collocation method is developed for solving ordinary and partial differential equations governing the oneand two-dimensional problems of elastic bodies, respectively. In the conventional reproducing kernel (RK) approximation, the shape functions for the derivatives of RK approximants are determined by directly differentiating the RK ap...

We compare the performances of the templates defined by three different types of approaches: traditional post-Newtonian templates ~Taylor approximants!, ‘‘resummed’’ post-Newtonian templates assuming the adiabatic approximation and stopping before the plunge (P approximants!, and further ‘‘resummed’’ postNewtonian templates going beyond the adiabatic approximation and incorporating the plunge w...

We compare the performances of the templates defined by three different types of approaches: traditional post-Newtonian templates (Taylor-approximants), “resummed” post-Newtonian templates assuming the adiabatic approximation and stopping before the plunge (P-approximants), and further “resummed” post-Newtonian templates going beyond the adiabatic approximation and incorporating the plunge with...

Analytical solutions are attractive for parametric studies and consideration of the problems physics. In addition, analytical solutions can be employed as a reference framewo...

BACKGROUND Medication errors occur frequently in the intensive care unit (ICU) and during care transitions. Chronic medication is often temporarily stopped at the ICU. Unfortunately, when the patient improves, the restart of this medication is easily forgotten. Moreover, temporal ICU medication is often unintentionally continued after ICU discharge. Medication reconciliation could be useful to ...

We study the construction of a quadrature rule which allows the simultaneous integration of a given function with respect to different weights. This construction is built on the basis of simultaneous Padé approximation of a Nikishin system of functions. The properties of these approximants are used in the proof of convergence of the quadratures and positivity of the corresponding quadrature coe...

Stieltjes' constants γn are the coefficients in Laurent series for zeta function ζ(s) at pole s=1 (Euler's constant γ0 is term of this expansion). The main result paper construction new sequences approximations any one γn. rests on a generalization “remainder Padé approximants” method introduced by first named author 1996. We also focus γ1 which we construct faster using ordinary remainder appr...