Computational Error And Complexity In Science And Engineering

Author : Vangipuram Lakshmikantham
Publisher : Elsevier
ISBN 13 : 008045951X
Total Pages : 260 pages
Book Rating : 4.16/5 ( download)

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Download or read book Computational Error and Complexity in Science and Engineering written by Vangipuram Lakshmikantham and published by Elsevier. This book was released on 2005-03-04 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book “Computational Error and Complexity in Science and Engineering pervades all the science and engineering disciplines where computation occurs. Scientific and engineering computation happens to be the interface between the mathematical model/problem and the real world application. One needs to obtain good quality numerical values for any real-world implementation. Just mathematical quantities symbols are of no use to engineers/technologists. Computational complexity of the numerical method to solve the mathematical model, also computed along with the solution, on the other hand, will tell us how much computation/computational effort has been spent to achieve that quality of result. Anyone who wants the specified physical problem to be solved has every right to know the quality of the solution as well as the resources spent for the solution. The computed error as well as the complexity provide the scientific convincing answer to these questions. Specifically some of the disciplines in which the book will be readily useful are (i) Computational Mathematics, (ii) Applied Mathematics/Computational Engineering, Numerical and Computational Physics, Simulation and Modelling. Operations Research (both deterministic and stochastic), Computing Methodologies, Computer Applications, and Numerical Methods in Engineering. Key Features: - Describes precisely ready-to-use computational error and complexity - Includes simple easy-to-grasp examples wherever necessary. - Presents error and complexity in error-free, parallel, and probabilistic methods. - Discusses deterministic and probabilistic methods with error and complexity. - Points out the scope and limitation of mathematical error-bounds. - Provides a comprehensive up-to-date bibliography after each chapter. · Describes precisely ready-to-use computational error and complexity · Includes simple easy-to-grasp examples wherever necessary. · Presents error and complexity in error-free, parallel, and probabilistic methods. · Discusses deterministic and probabilistic methods with error and complexity. · Points out the scope and limitation of mathematical error-bounds. · Provides a comprehensive up-to-date bibliography after each chapter.

Author : Moysey Brio
Publisher : Academic Press
ISBN 13 : 0080917046
Total Pages : 306 pages
Book Rating : 4.47/5 ( download)

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Download or read book Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers written by Moysey Brio and published by Academic Press. This book was released on 2010-09-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc. The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them. In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. Self contained presentation of key issues in successful numerical simulation Accessible to scientists and engineers with diverse background Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations

Author : Daniel Flaut
Publisher : Springer Nature
ISBN 13 : 3030306593
Total Pages : 535 pages
Book Rating : 4.95/5 ( download)

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Download or read book Decision Making in Social Sciences: Between Traditions and Innovations written by Daniel Flaut and published by Springer Nature. This book was released on 2019-11-28 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores several branches of the social sciences and their perspectives regarding their relations with decision-making processes: computer science, education, linguistics, sociology, and management. The decision-making process in social contexts is based on the analysis of sound alternatives using evaluative criteria. Therefore, this process is one that can be rational or irrational, and can be based on knowledge and/or beliefs. A decision-making process always produces a final decision, which may or may not imply prompt action, and increases the chances of choosing the best possible alternative. The book is divided into four main parts. The concepts covered in the first part, on computer science, explore how the rise of algorithms and the growth in computing power over the years can influence decision-making processes. In the second part, some traditional and innovative ideas and methods used in education are presented: compulsory schooling, inclusive schools, higher education, etc. In turn, the third part focuses on linguistics aspects, and examines how progress is manifested in language. The fourth part, on sociology, explores how society can be influenced by social norms, human interactions, culture, and religion. Management, regarded as a science of the decision-making process, is explored in the last part of this book. Selected organizations’ strategies, objectives and resources are presented, e.g., human resources, financial resources, and technological resources. The book gathers and presents, in a concise format, a broad range of aspects regarding the decision-making process in social contexts, making it a valuable and unique resource for the scientific community.

Author : Šárka Hošková-Mayerová
Publisher : Springer Nature
ISBN 13 : 3030613348
Total Pages : 515 pages
Book Rating : 4.41/5 ( download)

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Download or read book Algorithms as a Basis of Modern Applied Mathematics written by Šárka Hošková-Mayerová and published by Springer Nature. This book was released on 2021-01-13 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained guide to advanced algorithms and their applications in various fields of science. Gathering contributions by authoritative researchers in the field of mathematics, statistics and computer science, it aims at offering a comprehensive and up-to-date view of algorithms, including the theory behind them, as well as practical considerations, current limitations and solutions. It covers applications in energy management, decision making, computer networks, materials science, mechanics and process optimization. It offers an integrated and timely guide to important algorithms, and represents a valuable reference resource for graduate students and researchers in various fields of applied mathematics, statistics and engineering.

Author : J. C. Misra
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173194900
Total Pages : 540 pages
Book Rating : 4.04/5 ( download)

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Download or read book Computational Mathematics, Modelling and Algorithms written by J. C. Misra and published by Alpha Science Int'l Ltd.. This book was released on 2003 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume introduces educational units dealing with important topics in Mathematics, Modelling and Algorithms. Key Features: Illustrative examples and exercises Comprehensive bibliography

Author : Herold G. Dehling
Publisher : Elsevier
ISBN 13 : 9780080548975
Total Pages : 290 pages
Book Rating : 4.70/5 ( download)

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Download or read book Stochastic Modelling in Process Technology written by Herold G. Dehling and published by Elsevier. This book was released on 2007-07-03 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an ever increasing need for modelling complex processes reliably. Computational modelling techniques, such as CFD and MD may be used as tools to study specific systems, but their emergence has not decreased the need for generic, analytical process models. Multiphase and multicomponent systems, and high-intensity processes displaying a highly complex behaviour are becoming omnipresent in the processing industry. This book discusses an elegant, but little-known technique for formulating process models in process technology: stochastic process modelling. The technique is based on computing the probability distribution for a single particle's position in the process vessel, and/or the particle's properties, as a function of time, rather than - as is traditionally done - basing the model on the formulation and solution of differential conservation equations. Using this technique can greatly simplify the formulation of a model, and even make modelling possible for processes so complex that the traditional method is impracticable. Stochastic modelling has sporadically been used in various branches of process technology under various names and guises. This book gives, as the first, an overview of this work, and shows how these techniques are similar in nature, and make use of the same basic mathematical tools and techniques. The book also demonstrates how stochastic modelling may be implemented by describing example cases, and shows how a stochastic model may be formulated for a case, which cannot be described by formulating and solving differential balance equations. Introduction to stochastic process modelling as an alternative modelling technique Shows how stochastic modelling may be succesful where the traditional technique fails Overview of stochastic modelling in process technology in the research literature Illustration of the principle by a wide range of practical examples In-depth and self-contained discussions Points the way to both mathematical and technological research in a new, rewarding field

Author : Natarajan Meghanathan
Publisher : Springer
ISBN 13 : 3642273084
Total Pages : 683 pages
Book Rating : 4.87/5 ( download)

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Download or read book Advances in Computer Science and Information Technology. Computer Science and Engineering written by Natarajan Meghanathan and published by Springer. This book was released on 2012-04-24 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volume set LNICST 84 - LNICST 86 constitute the refereed proceedings ofthe Second International Conference on Computer Science and InformationTechnology, CCSIT 2012, held in Bangalore, India, in January 2012. The 70 revised full papers presented in this volume were carefullyreviewed and selected from numerous submissions and address all major fields ofthe Computer Science and Information Technology in theoretical, methodological,and practical or applicative aspects. The papers feature cutting-edge developmentand current research in computer science and engineering.

Author : Thomas Huckle
Publisher : SIAM
ISBN 13 : 1611975557
Total Pages : 264 pages
Book Rating : 4.50/5 ( download)

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Download or read book Bits and Bugs written by Thomas Huckle and published by SIAM. This book was released on 2019-03-08 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In scientific computing (also known as computational science), advanced computing capabilities are used to solve complex problems. This self-contained book describes and analyzes reported software failures related to the major topics within scientific computing: mathematical modeling of phenomena; numerical analysis (number representation, rounding, conditioning); mathematical aspects and complexity of algorithms, systems, or software; concurrent computing (parallelization, scheduling, synchronization); and numerical data (such as input of data and design of control logic). Readers will find lists of related, interesting bugs, MATLAB examples, and ?excursions? that provide necessary background, as well as an in-depth analysis of various aspects of the selected bugs. Illustrative examples of numerical principles such as machine numbers, rounding errors, condition numbers, and complexity are also included. ?

Author : Rayner Alfred
Publisher : Trans Tech Publications Ltd
ISBN 13 : 3035734011
Total Pages : 310 pages
Book Rating : 4.10/5 ( download)

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Download or read book Computational Science and Engineering written by Rayner Alfred and published by Trans Tech Publications Ltd. This book was released on 2019-06-10 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3rd International Conference on Computational Science and Engineering (ICCSE 2018) Selected, peer reviewed papers from the Third International Conference on Computational Science and Engineering (ICCSE2018), August 29-30, 2018, Kota Kinabalu, Sabah, Malaysia

Author : Michael T. Heath
Publisher : SIAM
ISBN 13 : 1611975573
Total Pages : 567 pages
Book Rating : 4.74/5 ( download)

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Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.