Recovery of High Order Accuracy in Radial Basis Function Approximations of Discontinuous Problems

Radial basis function (RBF) methods have been actively developed in the last decades. RBF methods are global methods which do not require the use of specialized points and that yield high order accuracy if the function is smooth enough. Like other global approximations, the accuracy of RBF approximations of discontinuous problems deteriorates due to the Gibbs phenomenon, even as more points are added. In this paper we show that it is possible to remove the Gibbs phenomenon from RBF approximations of discontinuous functions as well as from RBF solutions of some hyperbolic partial differential equations. Although the theory for the resolution of the Gibbs phenomenon by reprojection in Gegenbauer polynomials relies on the orthogonality of the basis functions, and the RBF basis is not orthogonal, we observe that the Gegenbauer polynomials recover high order convergence from the RBF approximations of discontinuous problems in a variety of numerical examples including the linear and nonlinear hyperbolic partial differential equations. Our numerical examples using multi-quadric RBFs suggest that the Gegenbauer polynomials are Gibbs complementary to the RBF multi-quadric basis.     

Using quantitative electron microscopy for process mineralogy applications

Quantitative microscopy using scanning electron microscopy-based automatic measurement methods and data-processing techniques that provide broad ranges of applications is very popular in the mining industry. These systems determine the quantities and microtextures of the ore samples and metallurgical products to guide process development and troubleshoot processing problems. For more information, contact B. Jenkins, Process Mineralogy, CSIRO Minerals, Queensland Center for Advanced Technologies, 2643 Moggill Road, Pinjarra Hills, Qld 4069 Australia; telephone 61 7 3212 4410; fax 61 7 3212; e-mail b.jenkins@cat.csiro.au.     

Development of a high-frequency (> 50 mhz) copolymer annular-array, ultrasound transducer

The development of a high frequency (> 50 MHz) annular array ultrasonic transducer is presented. The array was constructed by bonding a 9 microm P(VDF-TrFE) film to a two-sided polyimide flexible circuit with annuli electrodes on the top layer. Each annulus was separated by a 30 microm kerf and had several electroplated microvias that connected to electrode traces on the bottom side of the flex circuit. In order to improve device sensitivity, each element was electrically matched to an impedance magnitude of 50 omega and 0 degrees phase at resonance using a serial inductor and high impedance coaxial cable. The array's performance was evaluated by measuring the electrical impedance, pulse echo response, and cross talk between elements. The average round trip insertion loss was -33.5 dB after compensating for diffractive and attenuative losses. The measured average center frequency and bandwidth for an element was 55 MHz and 47%, respectively. The measured cross talk between adjacent elements remained below -29 dB at the center frequency in water. A vertical wire phantom was imaged using a single focus transmit beamformer and dynamic focusing receive beamformer. This image showed a significant improvement in lateral resolution over a range of 9 mm after the dynamic focusing receive algorithm was applied. These results correlated well with predictions from a Field II simulation. After beamforming, the minimum lateral resolution achieved by the array (-6 dB) was 108 microm at the focus.     

Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers’ Equation

This paper analyzes the stability and convergence of the Fourier pseudospectral method coupled with a variety of specially designed time-stepping methods of up to fourth order, for the numerical solution of a three dimensional viscous Burgers?? equation. There are three main features to this work. The first is a lemma which provides for an L ² and H ¹ bound on a nonlinear term of polynomial type, despite the presence of aliasing error. The second feature of this work is the development of stable time-stepping methods of up to fourth order for use with pseudospectral approximations of the three dimensional viscous Burgers?? equation. Finally, the main result in this work is that the pseudospectral method coupled with the carefully designed time-discretizations is stable provided only that the time-step and spatial grid-size are bounded by two constants over a finite time. It is notable that this stability condition does not impose a restriction on the time-step that is dependent on the spatial grid size, a fact that is especially useful for three dimensional simulations.     

The craving to smoke in flight attendants: Relations with smoking deprivation, anticipation of smoking, and actual smoking.

In the study, the authors examined the effects of smoking deprivation, anticipation of smoking, and actual smoking on the craving to smoke. Flight attendants who were light to heavy smokers rated their craving to smoke at predetermined time points during a 2-way short flight (each leg 3–5.5 hr) and a 1-way long flight (8–13 hr). In both short and long flights, craving increased gradually and peaked as landing approached. Craving levels at the end of the 1st leg of the short flights were equal to those at the end of the long flight and were much higher than those at the parallel time point in the long flight. In the short flight, craving levels at the beginning of the 2nd leg dropped relative to the end of the 1st leg, both for participants who smoked during the intermission and for those who did not, though the drop was steeper for the former. The results provide additional evidence for the role of psychological factors in determining the craving to smoke in a naturalistic setting. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Polymer‐Based Synthetic Routes to Carbon‐Based Metal‐Free Catalysts

Carbons are increasingly important as possible alternatives to expensive metal catalysts owing to the wide range of chemical properties they can exhibit and the growing set of synthetic routes available to produce them. This progress report discusses the process of making catalytic carbons from polymeric precursors, focusing on mechanisms of carbonization and how the polymer structures and synthetic procedures affect the resulting carbons. In considering what is necessary to move laboratory catalytic carbons to industrial and commercial applications, the cost and complexity to produce them are a considerable challenge to overcome. Industrially produced carbons are typically made from biopolymers such as lignin while many of the catalytic carbons studied in literature are from synthetic polymers. Thus, studying polymer‐derived carbons can provide insights into the carbonization process and the properties of catalytic carbons, which can subsequently be translated to improve biopolymer‐derived carbons in an economical way. Aspects of polymer carbonization discussed include carbonization mechanisms, effects of crosslinkers, polymer microstructure, heteroatom control, and effects of nanostructuring.     

Evolutionary algorithms for the satisfiability problem

Several evolutionary algorithms have been proposed for the satisfiability problem. We review the solution representations suggested in literature and choose the most promising one - the bit string representation - for further evaluation. An empirical comparison on commonly used benchmarks is presented for the most successful evolutionary algorithms and for WSAT, a prominent local search algorithm for the satisfiability problem. The key features of successful evolutionary algorithms are identified, thereby providing useful methodological guidelines for designing new heuristics. Our results indicate that evolutionary algorithms are competitive to WSAT.     

The Bottom-Up Implementation of One MILC Lattice QCD Application on the Cell Blade

We report the results of the bottom-up implementation of one MILC lattice quantum chromodynamics (QCD) application on the Cell Broadband Engine™ processor. In our implementation, we preserve MILC’s framework for scaling the application to run on a large number of compute nodes and accelerate computationally intensive kernels on the Cell’s synergistic processor elements. Speedups of 3.4 × for the 8 × 8 × 16 × 16 lattice and 5.7 × for the 16 × 16 × 16 × 16 lattice are obtained when comparing our implementation of the MILC application executed on a 3.2 GHz Cell processor to the standard MILC code executed on a quad-core 2.33 GHz Intel Xeon processor. We provide an empirical model to predict application performance for a given lattice size. We also show that performance of the compute-intensive part of the application on the Cell processor is limited by the bandwidth between main memory and the Cell’s synergistic processor elements, whereas performance of the application’s parallel execution framework is limited by the bandwidth between main memory and the Cell’s power processor element.     

Training Ethical Psychologists: An Acculturation Model.

This article presents an approach to graduate (and professional) training that views becoming an ethical psychologist as an acculturation process. J. W. Berry's (1980, 2003) model of acculturation strategies is used as a framework for understanding ethical acculturation, a developmental process during which students can use several types of adaptation strategies. Students enter training with their own moral value traditions and concepts but are confronted with new ethical principles and rules, some of which may be inconsistent with their ethics of origin. The article explores several applications of the framework to ethics courses, practicum supervision, and other areas of training. (PsycINFO Database Record (c) 2010 APA, all rights reserved)