Papers by Arturo Ortiz-Tapia
Theory and problems addressed for High School (bachelor, secondary school, preparatory, pre-unive... more Theory and problems addressed for High School (bachelor, secondary school, preparatory, pre-university) students. Some elementary calculus and probability is introduced.
IEEE Distributed Systems Online, 2000
In High-Performance Computing: Paradigm and Infrastructure, editors Laurence T. Yang and Minyi Gu... more In High-Performance Computing: Paradigm and Infrastructure, editors Laurence T. Yang and Minyi Guo accomplish quite a feat: bringing together numerous experts to describe the state of the art in high-performance computing (HPC) software and hardware. They gathered 41 chapters by 127 contributors (including themselves). Although they claim that the book isn't meant to be exhaustive, most professionals will likely find something to further their research or studies, either in the book or aided by the extensive bibliography at the end of each chapter.
Czechoslovak Journal of Physics, 2000
Using the S-300 device for wire plasma corona generation and streak, obscure and xframe cameras f... more Using the S-300 device for wire plasma corona generation and streak, obscure and xframe cameras for diagnostics, it was possible to determine the values of several parameters inside helical and toroidal structures formed in z-pinch. We concluded that the number of particles in the Debye sphere could be ND < 1, which makes evident the non-ideal character of plasmas in the helical tube, allowing for long-range correlations and selforganization.
Holland uses Monte Carlo for an "optimization" (in quotes since, as it will be seen, Holland does... more Holland uses Monte Carlo for an "optimization" (in quotes since, as it will be seen, Holland doesn't pursue the best, but rather the "most convenient outcome") model for gas storage facilities. This enables gas suppliers to schedule injection and withdrawal over the duration of a storage contract in a manner that maximizes expected profitability.
Applied Numerical Mathematics, 2010
Fundamental in the numerical solution of any integral equation is the discretization process. Ann... more Fundamental in the numerical solution of any integral equation is the discretization process. Annunziato and Messina describe a heterogeneous process of discretization for the space and temporal variable. Using a contraction theorem invariant to a map, the existence of the solution through their discretization (in space) is proven. Moreover, the uniqueness of the solution is shown, although the last proof is completed taking into account the discretization in time. Quadratic convergence is achieved in numerical experiments.
AIP Conference Proceedings, 2006
In several z‐pinch devices there has been observation of regular structures, which appear systema... more In several z‐pinch devices there has been observation of regular structures, which appear systematically when repeating the experiments. The fact that very identifiable, recurrent, geometrical structures appear in z‐pinches, which are relatively long lived, has motivated ...
An array of numerical simulations of the equation of transport were performed using the adsorptio... more An array of numerical simulations of the equation of transport were performed using the adsorption isotherm equation proposed by Zhu and Gu, a linear isotherm and a simple cubic polynomial. The COMSOL implementation, was in 1D, where the solutes are injected from one face of a homogeneous, isotropic core (small sample of reservoir rock); the concentration of the injected surfactant is kept constant during all the simulation. The spatial distribution of the adsorption of solutes along the rock core was investigated. The main idea is to attempt to understand the numerical effects of varying several features of the modeling of the transport equation.
All rights reserved. No part of this publication or the information contained herein may be repro... more All rights reserved. No part of this publication or the information contained herein may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, by photocopying, recording or otherwise, without written prior permission from the publishers.
Inspired by the quasi-random integration developed by Halton, Hammersley and Wozniakowski, and th... more Inspired by the quasi-random integration developed by Halton, Hammersley and Wozniakowski, and the concept of measurable function used in Lebesgue integration, the possibility of using distances between chains of patterns of the distances between primes (meta-distances or meta-chains) as a pool of quasi-random numbers for multivariable integration in simple domains is explored. The speed of convergence is faster, and the
Fate of microorganisms in porous media has very important applications in many branches of enviro... more Fate of microorganisms in porous media has very important applications in many branches of environmental and petroleum science and engineering, among others; however, concurrently it is a very complex and interacting phenomenon mainly because microorganisms are living. Applying the systematic modeling approach to continuum systems, we derive a model that include net flux of microorganisms and nutrients by convection and dispersion, growth and decay rates of microorganisms, chemotactic movement and nutrient consumption, adsorption of microorganisms and nutrients on rock grain surfaces, as well as desorption of microorganisms. Porosity reduction due to cell adsorption is considered. We use the Solute Transport application of the Earth Science Module in COMSOL Multiphysics to implement a numerical solution of the model. The numerical simulations reproduce results previously reported elsewhere; moreover, we show the spatial-temporal distribution of microorganisms and nutrients along the system and time. We point out the complementary role of the spatial-temporal distribution of components with breakthrough curves to analyze the behavior of both fluent and adsorbed components.
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Papers by Arturo Ortiz-Tapia