MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described

Generalized averaged Gaussian quadrature and applications

A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal

Nonlinear Dynamics

This volume covers a diverse collection of topics dealing with some of the fundamental concepts and applications embodied in the study of nonlinear dynamics. Each of the 15 chapters contained in this compendium generally fit into one of five topical areas: physics applications, nonlinear oscillators, electrical and mechanical systems, biological and behavioral applications or random processes. The authors of these chapters have contributed a stimulating cross section of new results, which provide a fertile spectrum of ideas that will inspire both seasoned researches and students

Proceedings of the 2018 Canadian Society for Mechanical Engineering (CSME) International Congress

Published proceedings of the 2018 Canadian Society for Mechanical Engineering (CSME) International Congress, hosted by York University, 27-30 May 2018

Use of Industrial Reclaimed Filler to Modify Asphalt Mixture and Binder Performances. Advanced rheological performance evaluation and 3D DEM Modeling of bituminous binders and mastics

The mechanical performance of an asphalt mixture is largely dependent on the properties of its constituents and by the way they reciprocally interact in the bituminous layer. In particular, the stress-strain response of the road pavements is closely related to the rheological behavior of the bituminous binder and of its interaction with the finest part of the lytic skeleton. Therefore, it is important to study in the laboratory by means of advanced rheological tests, how mastics (Bitumen-Filler Systems) and mortars (Bitumen-Filler-Sand Systems) react to dynamic loads and thermal stresses. Moreover, the understanding of the contacts mechanisms within the bitumen-filler system, through 3D micro-mechanical models, should allow for a deeper analysis of the mastic rheological behavior. Based on these considerations, in a socio-economic context in which it is necessary to reduce the environmental impact caused by the construction and maintenance of transportation infrastructures, bituminous mastics containing different reclaimed fillers from the industrial production wastes were studied. For this purpose, advanced rheological tests have been first validated and then implemented and combined with the 3D DEM models development. Results showed that the methods used to study the bituminous mastics and mortars allowed to understand the effects due to the addition of innovative and recycled fillers within the mixtures blend, highlighting as these can increase the asphalt mixture performance during its service life

Second Microgravity Fluid Physics Conference

The conference's purpose was to inform the fluid physics community of research opportunities in reduced-gravity fluid physics, present the status of the existing and planned reduced gravity fluid physics research programs, and inform participants of the upcoming NASA Research Announcement in this area. The plenary sessions provided an overview of the Microgravity Fluid Physics Program information on NASA's ground-based and space-based flight research facilities. An international forum offered participants an opportunity to hear from French, German, and Russian speakers about the microgravity research programs in their respective countries. Two keynote speakers provided broad technical overviews on multiphase flow and complex fluids research. Presenters briefed their peers on the scientific results of their ground-based and flight research. Fifty-eight of the sixty-two technical papers are included here