Optimization Of Temperature Field Evolution Simulation During Wet Flat Grinding

We have considered the analytical solutions for heat transfer in wet flat grinding, assuming a linear and a constant heat flux profile, entering into the workpiece. We assume as well a constant heat transfer coefficient for the coolant acting on the workpiece surface. In order to avoid thermal damage, we provide a very fast method for the computation of the maximum temperature, which occurs on the workpiece surface in the stationary regime. We also provide a very rapid method for the numerical evaluation of the transient regime duration (relaxation time). By knowing the location of the maximum temperature and the relaxation time, we have performed an analysis for the computation optimization of the temperature evolution on the workpiece surface. This kind of analysis offers a very interesting simulation tool to avoid thermal damage during the transient regime.Ciencias Experimentale

Introduction to Computational Mathematics Using the Historical Solutions of the “Hundred Fowls” Problem

Through programming tasks, the skills and abilities used to solve mathematical problems are developed and improved. In this article we present a programming teaching trajectory using the solutions presented throughout the history of the “hundred fowls” problem. The proposed itinerary is graduated, meaning that it can be used for different educational stages

A new technique for studying the convergence of Newton’s solver with real life applications

The convergence domain for both the local and semilocal case of Newton’s method for Banach space valued operators is small in general. There is a plethora of articles that have extended the convergence criterion due to Kantorovich under variations of the convergence conditions. In this article, we use a different approach than before to increase the convergence domain, and without necessarily using conditions on the inverse of the Fréchet-derivative of the operator involved. Favorable to us applications are given to test the convergence criteria

A Spatial-Temporal Model for the Evolution of the COVID-19 Pandemic in Spain Including Mobility

In this work, a model for the simulation of infectious disease outbreaks including mobility data is presented. The model is based on the SAIR compartmental model and includes mobility data terms that model the flow of people between different regions. The aim of the model is to analyze the influence of mobility on the evolution of a disease after a lockdown period and to study the appearance of small epidemic outbreaks due to the so-called imported cases. We apply the model to the simulation of the COVID-19 in the various areas of Spain, for which the authorities made available mobility data based on the position of cell phones. We also introduce a method for the estimation of incomplete mobility data. Some numerical experiments show the importance of data completion and indicate that the model is able to qualitatively simulate the spread tendencies of small outbreaks. This work was motivated by an open call made to the mathematical community in Spain to help predict the spread of the epidemic