Vector Methods

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Vector Extrapolation Methods With Applications

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Author : Avram Sidi
language : en
Publisher: SIAM
Release Date : 2017-09-26

Vector Extrapolation Methods With Applications written by Avram Sidi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-26 with Science categories.

An important problem that arises in different disciplines of science and engineering is that of computing limits of sequences of vectors of very large dimension. Such sequences arise, for example, in the numerical solution of systems of linear and nonlinear equations by fixed-point iterative methods, and their limits are simply the required solutions to these systems. The convergence of these sequences, which is very slow in many cases, can be accelerated successfully by using suitable vector extrapolation methods. Vector Extrapolation Methods with Applications is the first book fully dedicated to the subject of vector extrapolation methods. It is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. It covers all aspects of the subject, including development of the methods, their convergence study, numerically stable algorithms for their implementation, and their various applications. It also provides complete proofs in most places. As an interesting application, the author shows how these methods give rise to rational approximation procedures for vector-valued functions in the complex plane, a subject of importance in model reduction problems among others. This book is intended for numerical analysts, applied mathematicians, and computational scientists and engineers in fields such as computational fluid dynamics, structures, and mechanical and electrical engineering, to name a few. Since it provides complete proofs in most places, it can also serve as a textbook in courses on acceleration of convergence of iterative vector processes, for example.

Vector Methods Applied To Differential Geometry Mechanics And Potential Theory

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Author : D. E. Rutherford
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01

Vector Methods Applied To Differential Geometry Mechanics And Potential Theory written by D. E. Rutherford and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.

Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator "nabla" proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.

Numerical Methods

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Author : George Lindfield
language : en
Publisher: Academic Press
Release Date : 2018-10-10

Numerical Methods written by George Lindfield and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-10 with Technology & Engineering categories.

The fourth edition of Numerical Methods Using MATLAB® provides a clear and rigorous introduction to a wide range of numerical methods that have practical applications. The authors' approach is to integrate MATLAB® with numerical analysis in a way which adds clarity to the numerical analysis and develops familiarity with MATLAB®. MATLAB® graphics and numerical output are used extensively to clarify complex problems and give a deeper understanding of their nature. The text provides an extensive reference providing numerous useful and important numerical algorithms that are implemented in MATLAB® to help researchers analyze a particular outcome. By using MATLAB® it is possible for the readers to tackle some large and difficult problems and deepen and consolidate their understanding of problem solving using numerical methods. Many worked examples are given together with exercises and solutions to illustrate how numerical methods can be used to study problems that have applications in the biosciences, chaos, optimization and many other fields. The text will be a valuable aid to people working in a wide range of fields, such as engineering, science and economics. - Features many numerical algorithms, their fundamental principles, and applications - Includes new sections introducing Simulink, Kalman Filter, Discrete Transforms and Wavelet Analysis - Contains some new problems and examples - Is user-friendly and is written in a conversational and approachable style - Contains over 60 algorithms implemented as MATLAB® functions, and over 100 MATLAB® scripts applying numerical algorithms to specific examples

A History Of Vector Analysis

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Author : Michael J. Crowe
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01

A History Of Vector Analysis written by Michael J. Crowe and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.

Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

Vector And Tensor Analysis

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Author : George E. Hay
language : en
Publisher: Courier Corporation
Release Date : 1953-01-01

Vector And Tensor Analysis written by George E. Hay and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953-01-01 with Mathematics categories.

"Remarkably comprehensive, concise and clear." — Industrial Laboratories "Considered as a condensed text in the classical manner, the book can well be recommended." — Nature Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis. More than 200 problems are included throughout the book.

Numerical Methods And Methods Of Approximation In Science And Engineering

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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2018-10-31

Numerical Methods And Methods Of Approximation In Science And Engineering written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-31 with Mathematics categories.

Numerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous worked examples to facilitate understanding of numerical methods and their application. Readers will learn to structure a sequence of operations into a program, using the programming language of their choice; this approach leads to a deeper understanding of the methods and their limitations. Features: Provides a strong theoretical foundation for learning and applying numerical methods Takes a generic approach to engineering analysis, rather than using a specific programming language Built around a consistent, understandable model for conducting engineering analysis Prepares students for advanced coursework, and use of tools such as FEA and CFD Presents numerous detailed examples and problems, and a Solutions Manual for instructors

Report

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Author : United States. National Advisory Committee for Aeronautics
language : en
Publisher:
Release Date : 1953

Report written by United States. National Advisory Committee for Aeronautics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Aeronautics categories.

Mathematical Methods In Chemical Engineering

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Author : V. G. Jensen
language : en
Publisher: Elsevier
Release Date : 1977

Mathematical Methods In Chemical Engineering written by V. G. Jensen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Science categories.

Mathematical Methods in Chemical Engineering

Computational Methods For Snps And Haplotype Inference

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Author : Sorin Istrail
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-12

Computational Methods For Snps And Haplotype Inference written by Sorin Istrail and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-12 with Science categories.

This book constitutes the post-proceedings of the DIMACS/RECOMB Satellite Workshop on Computational Methods for SNPs and Haplotype Inference held in Piscataway, NJ, USA, in November 2002. The book presents ten revised full papers as well as abstracts of the remaining workshop papers. All relevant current issues in computational methods for SNP and haplotype analysis and their applications to disease associations are addressed.

Linear Algebra

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Author :
language : en
Publisher: Pearson South Africa
Release Date : 2000

Linear Algebra written by and has been published by Pearson South Africa this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Algebras, Linear categories.