Computational Mathematics Articles
Our index of selected Computational Mathematics articles
As a busy engineer, we are aware that time is of the essence for you. To help, the Computational Mathematics article index ensures you have easy access to all the key issues in this field by providing a fast route to the highest quality content.
Enhance your competitive edge or research by reading our articles concerned with new innovations, development of mathematical principles, and practical issues in computational mathematics.
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From: International Journal of Numerical Methods for Heat & Fluid Flow, volume: 19 issue: 6 pp777-789, 2009
Understanding solar radiation data is essential for many applications including crop-growth models, evaporation-transpiration estimates and building comfort conditions. The purpose of this paper is to predict the global solar radiation intensity in areas where meteorological stations do not exist and information on solar radiation cannot be obtained experimentally.
From: COMPEL, volume: 28 issue: 5 pp1227-1235, 2009
Design and production of small electrical machines are characterized by a trend towards miniaturization, especially in the automotive field, where the number of electromechanical devices featuring drive-by-wire systems are ever increasing. As a result of reduced size and weight, the devices are characterized by increasing power densities. For this reason, reduction of power loss has become a strategic target for the design of energy-saving, small electrical machines. From the electromagnetic point of view, the classical problem of losses in the active materials, i.e. copper and iron, arises once again and begs for new solutions. In this paper, a procedure to provide the optimal solutions located along the Pareto front is proposed.
From: COMPEL, volume: 28 issue: 4 pp865-878, 2009
Cardiac arrhythmias (disruptions of the regular heart rhythm) are a leading cause of death and disability among the world's population. The physiological mechanism of arrhythmias involves an abnormal spatial and temporal formation of the electrical conduction paths in the heart wall. If a 3D computer image of the endocardial (or epicardial) electric potential distribution is generated fast enough, it provides crucial information to physicians for locating these arrhythmogenic sites. As a result, physicians can diagnose arrhythmias easier and perform minimally invasive therapeutic procedures, such as catheter ablations, much faster and more accurately. In this paper, the authors aim to develop and validate a real-time numerical inversion technique that can reconstruct the endocardial surface potential distribution from potential data measured inside the heart with a multi-electrode noncontact catheter.
From: COMPEL, volume: 28 issue: 3 pp668-681, 2009
This paper presents an experimental setup for the verification of coupled electromagnetic field-circuit simulation, called TESTCASE. Simulation results using different approaches as well as measurement results are presented. Practical issues in measurement and simulation are discussed.
From: Engineering Computations, volume: 26 issue: 4 pp440-456, 2009
Inflatable structures made of modern textile materials are used in many areas of industry (e.g. as temporary buildings, space antennas, cofferdams and shelters) owing to their significant and outstanding properties. For example, they can be inflated at high pressure and have a high mechanical strength, they are lightweight, and of small volume when folded. Due to these advantages, they have an important role and need to be properly investigated. Unfortunately, there are few results on the deflections of inflatable structures at high pressure, especially numerical results. The aim of this paper is to investigate for the very first time the application of the so-called natural neighbour Galerkin method for deflection analysis of inflatable structures.
From: COMPEL, volume: 28 issue: 2 pp372-384, 2009
The utilization of wind power is growing. Moreover, in order to increase the power generating capacity, the height of wind turbine (WT) towers is also rapidly increasing. Owing to their exposed position, WT towers are particularly at risk from lightning strikes. When lightning strikes a WT installation, high currents will flow through its tower and dissipate in the soil. Induced voltages and the electromagnetic fields generated by such high currents may cause damage to electronic equipment and power apparatus inside the tower. From the viewpoint of lightning protection design, it is necessary to predict the transient characteristic of a WT tower during a lightning strike. This paper proposes an efficient algorithm for doing that.
From: Engineering Computations, volume: 26 issue: 1/2 pp145-165, 2009
The purpose of this paper is to investigate internal forces in bridges induced by moving vehicles and compare them to earthquake loading. In order to assess actions from moving vehicles, the Newmark method has been generalized in a novel way.
From: International Journal of Numerical Methods for Heat & Fluid Flow, volume: 19 issue: 1 pp93-117, 2009
This paper studies the effect of a computational grid in computational fluid dynamics-based mathematical modelling, focusing on, but not limiting its attention to, industrial-scale boilers. The computational grid is one of the most important factors affecting the accuracy of computational fluid dynamics modelling. It can be argued that due to the lack of sufficient computational capacity, the grids used to describe industrial-scale boilers are always too coarse, which further stresses the importance of a good quality grid. Nevertheless, the computational grid has not always received the attention it deserves in the industrial-scale boiler modelling community. In fact, in many studies grid independency has not been assessed at all, or it has been assessed non-systematically or in insufficient detail. The present study emphasizes the fact that the grid dependency study is an essential part of every modelling study, and that the discretization error should be minimized, or at least assessed, if any definite conclusions are to be drawn from the results.
From: Engineering Computations, volume: 25 issue: 8 pp783-800, 2009
This paper presents a study of the optimization of a randomized control problem in an M/G/1 queue in which a removable and unreliable server may provide two phases of heterogeneous service to arriving customers. It is the first time that analytic results of sensitivity analysis of optimal randomized control policy for the complex system have been obtained and is therefore of great significance for engineers.
From: COMPEL, volume: 28 issue: 1 pp231-241, 2009
The purpose of this paper is to discover the most important genes generated by the gene expression arrays responsible for the recognition of particular types of cancer. The paper presents the analysis of different techniques of gene selection, including correlation, statistical hypothesis, clusterization and linear support vector machine (SVM). The results of selection of the most significant genes used for the SVM recognition of seven types of cancer have confirmed good accuracy of results. The presented methodology is of potential use in practical application in bioinformatics.