Computational Methods for Global/Local Analysis

Computational Methods for Global/Local Analysis
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
Total Pages: 26
Release: 2018-06-30
Genre:
ISBN: 9781722118884

Computational methods for global/local analysis of structures which include both uncoupled and coupled methods are described. In addition, global/local analysis methodology for automatic refinement of incompatible global and local finite element models is developed. Representative structural analysis problems are presented to demonstrate the global/local analysis methods. Ransom, Jonathan B. and Mccleary, Susan L. and Aminpour, Mohammad A. and Knight, Norman F., Jr. Langley Research Center RTOP 505-63-53-01...

Computational Methods in Nonlinear Analysis

Computational Methods in Nonlinear Analysis
Author: Ioannis K. Argyros
Publisher: World Scientific
Total Pages: 592
Release: 2013
Genre: Mathematics
ISBN: 9814405833

The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.

Analysis of Algorithms

Analysis of Algorithms
Author: Micha Hofri
Publisher: Oxford University Press, USA
Total Pages: 618
Release: 1995
Genre: Computer algorithms.
ISBN: 9780195099546

Analysis of Algorithms: Computational Methods & Mathematical Tools presents the methods and tools needed to determine the effectiveness of algorithms. It begins with basic computational tools such as generating functions, combinatorial calculus, and asymptomatic methods, and continues through applications such as searching and sorting, communications protocols, and bin packing heuristics. The techniques needed for an effective use of each concept are shown in examples, then in exercises for which detailed solutions are provided. Proofs are given to illustrate the focal topic of the chapter. While the book can be used as a reference tool for algorithm designers and scientists specializing in their analyses, the exercises also make this a useful guide for graduate courses and seminars. Much of the material is culled from recent journal articles, and is presented here for the first time in book form.

Computational Methods for Reliability and Risk Analysis

Computational Methods for Reliability and Risk Analysis
Author: Enrico Zio
Publisher: World Scientific
Total Pages: 363
Release: 2009
Genre: Technology & Engineering
ISBN: 9812839011

This book illustrates a number of modelling and computational techniques for addressing relevant issues in reliability and risk analysis. In particular, it provides: i) a basic illustration of some methods used in reliability and risk analysis for modelling the stochastic failure and repair behaviour of systems, e.g. the Markov and Monte Carlo simulation methods; ii) an introduction to Genetic Algorithms, tailored to their application for RAMS (Reliability, Availability, Maintainability and Safety) optimization; iii) an introduction to key issues of system reliability and risk analysis, like dependent failures and importance measures; and iv) a presentation of the issue of uncertainty and of the techniques of sensitivity and uncertainty analysis used in support of reliability and risk analysis.The book provides a technical basis for senior undergraduate or graduate courses and a reference for researchers and practitioners in the field of reliability and risk analysis. Several practical examples are included to demonstrate the application of the concepts and techniques in practice.

Spatial Analysis Along Networks

Spatial Analysis Along Networks
Author: Atsuyuki Okabe
Publisher: John Wiley & Sons
Total Pages: 252
Release: 2012-07-02
Genre: Mathematics
ISBN: 1119967767

In the real world, there are numerous and various events that occur on and alongside networks, including the occurrence of traffic accidents on highways, the location of stores alongside roads, the incidence of crime on streets and the contamination along rivers. In order to carry out analyses of those events, the researcher needs to be familiar with a range of specific techniques. Spatial Analysis Along Networks provides a practical guide to the necessary statistical techniques and their computational implementation. Each chapter illustrates a specific technique, from Stochastic Point Processes on a Network and Network Voronoi Diagrams, to Network K-function and Point Density Estimation Methods, and the Network Huff Model. The authors also discuss and illustrate the undertaking of the statistical tests described in a Geographical Information System (GIS) environment as well as demonstrating the user-friendly free software package SANET. Spatial Analysis Along Networks: Presents a much-needed practical guide to statistical spatial analysis of events on and alongside a network, in a logical, user-friendly order. Introduces the preliminary methods involved, before detailing the advanced, computational methods, enabling the readers a complete understanding of the advanced topics. Dedicates a separate chapter to each of the major techniques involved. Demonstrates the practicalities of undertaking the tests described in the book, using a GIS. Is supported by a supplementary website, providing readers with a link to the free software package SANET, so they can execute the statistical methods described in the book. Students and researchers studying spatial statistics, spatial analysis, geography, GIS, OR, traffic accident analysis, criminology, retail marketing, facility management and ecology will benefit from this book.

Computational Methods and Experimental Measurements XVII

Computational Methods and Experimental Measurements XVII
Author: G.M. Carlomagno
Publisher: WIT Press
Total Pages: 565
Release: 2015-05-05
Genre: Mathematics
ISBN: 1845649222

Containing papers presented at the seventeenth in a series of biennial meetings organised by the Wessex Institute and first held in 1984, this book includes the latest research from scientists who perform experiments, researchers who develop computer codes, and those who carry out measurements on prototypes and whose work may interact. Progress in the engineering sciences is dependent on the orderly and concurrent development of all three fields. Continuous improvement in computer efficiency, coupled with diminishing costs and rapid development of numerical procedures have generated an ever-increasing expansion of computational simulations that permeate all fields of science and technology. As these procedures continue to grow in magnitude and complexity, it is essential to be certain of their reliability, i.e. to validate their results. This can be achieved by performing dedicated and accurate experiments. At the same time, current experimental techniques have become more complex and sophisticated so that they require the exploitation of computers, both for running experiments as well as acquiring and processing the resulting data. The papers contained in the book address advances in the interaction between these three areas. They cover such topics as: Computational and Experimental Methods; Fluid Flow; Structural and Stress Analysis; Materials Characterisation; Heat Transfer and Thermal Processes; Advances in Computational Methods; Automotive Applications; Applications in Industry; Process Simulations; Environmental Modelling and Applications; Computer Modelling; Validation of Computer Modelling; Computation in Measurements; Data Processing of Experiments; Virtual Testing and Verification; Simulation and Forecasting; Measurements in Engineering.