Classical And Modern Numerical Analysis
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Classical And Modern Numerical Analysis
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Author : Azmy S. Ackleh
language : en
Publisher: CRC Press
Release Date : 2009-07-20
Classical And Modern Numerical Analysis written by Azmy S. Ackleh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-20 with Mathematics categories.
Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o
Instructor S Answer Guide For Classical And Modern Numerical Analysis
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Author : Taylor & Francis Group
language : en
Publisher:
Release Date : 2010-05-21
Instructor S Answer Guide For Classical And Modern Numerical Analysis written by Taylor & Francis Group and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-21 with categories.
Numerical Analysis With Applications In Mechanics And Engineering
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Author : Petre Teodorescu
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-04
Numerical Analysis With Applications In Mechanics And Engineering written by Petre Teodorescu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-04 with Computers categories.
NUMERICAL ANALYSIS WITH APPLICATIONS IN MECHANICS AND ENGINEERING A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.
Numerical Methods And Optimization
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Author : Sergiy Butenko
language : en
Publisher: CRC Press
Release Date : 2014-03-11
Numerical Methods And Optimization written by Sergiy Butenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-11 with Business & Economics categories.
For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Introduction combines the materials from introductory numerical methods and introductory optimization courses into a single text. This classroom-tested approach enriches a standard numerical methods syllabus with optional chapters on numerical optimization and provides a valuable numerical methods background for students taking an introductory OR or optimization course. The first part of the text introduces the necessary mathematical background, the digital representation of numbers, and different types of errors associated with numerical methods. The second part explains how to solve typical problems using numerical methods. Focusing on optimization methods, the final part presents basic theory and algorithms for linear and nonlinear optimization. The book assumes minimal prior knowledge of the topics. Taking a rigorous yet accessible approach to the material, it includes some mathematical proofs as samples of rigorous analysis but in most cases, uses only examples to illustrate the concepts. While the authors provide a MATLAB® guide and code available for download, the book can be used with other software packages.
Handbook Of Sinc Numerical Methods
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Author : Frank Stenger
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Handbook Of Sinc Numerical Methods written by Frank Stenger and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
Handbook of Sinc Numerical Methods presents an ideal road map for handling general numeric problems. Reflecting the author’s advances with Sinc since 1995, the text most notably provides a detailed exposition of the Sinc separation of variables method for numerically solving the full range of partial differential equations (PDEs) of interest to scientists and engineers. This new theory, which combines Sinc convolution with the boundary integral equation (IE) approach, makes for exponentially faster convergence to solutions of differential equations. The basis for the approach is the Sinc method of approximating almost every type of operation stemming from calculus via easily computed matrices of very low dimension. The downloadable resources of this handbook contain roughly 450 MATLAB® programs corresponding to exponentially convergent numerical algorithms for solving nearly every computational problem of science and engineering. While the book makes Sinc methods accessible to users wanting to bypass the complete theory, it also offers sufficient theoretical details for readers who do want a full working understanding of this exciting area of numerical analysis.
Computational Methods For Numerical Analysis With R
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Author : II Howard
language : en
Publisher: CRC Press
Release Date : 2017-07-12
Computational Methods For Numerical Analysis With R written by II Howard and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-12 with Mathematics categories.
Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.
Numerical Methods For Fractional Calculus
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Author : Changpin Li
language : en
Publisher: CRC Press
Release Date : 2015-05-19
Numerical Methods For Fractional Calculus written by Changpin Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-19 with Mathematics categories.
Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.The book introduces the basic definitions and propertie
Introduction To Structural Analysis Design
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Author : S. D. Rajan
language : en
Publisher: John Wiley & Sons
Release Date : 2000-10-27
Introduction To Structural Analysis Design written by S. D. Rajan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-27 with Technology & Engineering categories.
This book is a comprehensive introduction to the principles of structural analysis and structural design. Emphasizing fundamental concepts, the author reinforces ideas through a combination of limited versatile classical techniques and numerical methods. The discussion of structural analysis and structural design including optimum design are strongly linked through an abundance of analysis and design examples. The addition of computer software enhances the understanding of the engineering principles as well as the learning of the use of computer-based tools.
Classical Numerical Analysis
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Author : Abner J. Salgado
language : en
Publisher: Cambridge University Press
Release Date : 2022-10-20
Classical Numerical Analysis written by Abner J. Salgado and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-20 with Mathematics categories.
A thorough introduction to graduate classical numerical analysis, with all important topics covered rigorously.
Funicular Structures
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Author : Damon Bolhassani
language : en
Publisher: Taylor & Francis
Release Date : 2025-04-16
Funicular Structures written by Damon Bolhassani and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-16 with Architecture categories.
Funicular structures are structural skeletons designed using methodologies that analyze the flow and direction of forces, which can be categorized as compression, tension, or a combination of both. They are not only elegant, resembling naturally occurring forms, but also highly efficient and can be built with minimal use of relatively low-strength materials, thus minimizing their negative environmental impact. This book presents an in-depth overview of the theoretical foundations and practical methods of designing funicular structures for maximum efficiency. Beginning with a foundation and introduction to funicular structures for those new to the subject, the book then provides in-depth coverage of cables, arches, shells and vaults, domes, and spatial structures. Chapters explain the theory behind funicular structures in 2D, spatial funicular structures in 3D and examine their structural behavior. Recent and historically famous structures from around the globe are analyzed, and their potential design methods revealed through step-by-step, visual explanations. Structural analysis of funicular structures in different forms are also presented to demonstrate pitfalls and common errors. Tracing the various methods of designing funicular structures, including the latest computational tools, this book provides a solid foundation for students of architecture, structural design, civil engineering, landscape design, and environmental design, to embark on their own funicular design projects.