Numerical Analysis With Applications In Mechanics And Engineering


Numerical Analysis With Applications In Mechanics And Engineering
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Numerical Analysis With Applications In Mechanics And Engineering


Numerical Analysis With Applications In Mechanics And Engineering
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Author : Petre Teodorescu
language : en
Publisher: John Wiley & Sons
Release Date : 2013-05-07

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 2013-05-07 with Computers categories.


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 Analysis For Engineers


Numerical Analysis For Engineers
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Author : Bilal Ayyub
language : en
Publisher: CRC Press
Release Date : 2015-09-18

Numerical Analysis For Engineers written by Bilal Ayyub and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-18 with Mathematics categories.


Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical methods, especially their applications, limitations, and potentials. Each chapter contains many computational examples, as well as a section on applications that contain additional engineering examples. Each chapter also includes a set of exercise problems. The problems are designed to meet the needs of instructors in assigning homework and to help students with practicing the fundamental concepts. Although the book was developed with emphasis on engineering and technological problems, the numerical methods can also be used to solve problems in other fields of science.



Numerical Methods In Mechanics Of Materials


Numerical Methods In Mechanics Of Materials
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Author : Ken P. Chong
language : en
Publisher: CRC Press
Release Date : 2017-11-27

Numerical Methods In Mechanics Of Materials written by Ken P. Chong and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-27 with Technology & Engineering categories.


In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods



Numerical Methods For Engineering Applications


Numerical Methods For Engineering Applications
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Author : Edward R. Champion
language : en
Publisher: CRC Press
Release Date : 1993-06-29

Numerical Methods For Engineering Applications written by Edward R. Champion and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-29 with Technology & Engineering categories.


For undergraduate and first-year graduate students and practicing engineers who need a reference on numerical techniques, this text provides a sampling of programs that have proven to be efficient and effective in performing numerical analysis. The theory behind the algorithms is kept to a minimum,



Fundamentals Of Engineering Numerical Analysis


Fundamentals Of Engineering Numerical Analysis
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Author : Parviz Moin
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-23

Fundamentals Of Engineering Numerical Analysis written by Parviz Moin 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 2010-08-23 with Mathematics categories.


In this work, Parviz Moin introduces numerical methods and shows how to develop, analyse, and use them. A thorough and practical text, it is intended as a first course in numerical analysis.



Engineering Fracture Mechanics


Engineering Fracture Mechanics
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Author : D. R. J. Owen
language : en
Publisher:
Release Date : 1983

Engineering Fracture Mechanics written by D. R. J. Owen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Finite element method categories.




Mathematical And Numerical Methods For Partial Differential Equations


Mathematical And Numerical Methods For Partial Differential Equations
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Author : Joël Chaskalovic
language : en
Publisher: Springer
Release Date : 2014-05-16

Mathematical And Numerical Methods For Partial Differential Equations written by Joël Chaskalovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Mathematics categories.


This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approach first summarizes and outlines the finite-element mathematics in general and then in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverse exercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite- element methods instead of passively absorbing the material as in most standard textbooks. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic.



Computational Methods In Engineering


Computational Methods In Engineering
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Author : S. P. Venkateshan
language : en
Publisher: Springer Nature
Release Date : 2023-05-31

Computational Methods In Engineering written by S. P. Venkateshan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Technology & Engineering categories.


The book is designed to serve as a textbook for courses offered to graduate and upper-undergraduate students enrolled in mechanical engineering. The book attempts to make students with mathematical backgrounds comfortable with numerical methods. The book also serves as a handy reference for practicing engineers who are interested in applications. The book is written in an easy-to-understand manner, with the essence of each numerical method clearly stated. This makes it easy for professional engineers, students, and early career researchers to follow the material presented in the book. The structure of the book has been modeled accordingly. It is divided into four modules: i) solution of a system of equations and eigenvalues which includes linear equations, determining eigenvalues, and solution of nonlinear equations; ii) function approximations: interpolation, data fit, numerical differentiation, and numerical integration; iii) solution of ordinary differential equations—initial value problems and boundary value problems; and iv) solution of partial differential equations—parabolic, elliptic, and hyperbolic PDEs. Each section of the book includes exercises to reinforce the concepts, and problems have been added at the end of each chapter. Exercise problems may be solved by using computational tools such as scientific calculators, spreadsheet programs, and MATLAB codes. The detailed coverage and pedagogical tools make this an ideal textbook for students, early career researchers, and professionals.



Computational Engineering Introduction To Numerical Methods


Computational Engineering Introduction To Numerical Methods
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Author : Michael Schäfer
language : en
Publisher: Springer Nature
Release Date : 2021-07-19

Computational Engineering Introduction To Numerical Methods written by Michael Schäfer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Technology & Engineering categories.


Numerical simulation methods in all engineering disciplines gains more and more importance. The successful and efficient application of such tools requires certain basic knowledge about the underlying numerical techniques. The text gives a practice-oriented introduction in modern numerical methods as they typically are applied in mechanical, chemical, or civil engineering. Problems from heat transfer, structural mechanics, and fluid mechanics constitute a thematical focus of the text. For the basic understanding of the topic aspects of numerical mathematics, natural sciences, computer science, and the corresponding engineering area are simultaneously important. Usually, the necessary information is distributed in different textbooks from the individual disciplines. In the present text the subject matter is presented in a comprehensive multidisciplinary way, where aspects from the different fields are treated insofar as it is necessary for general understanding. Overarching aspects and important questions related to accuracy, efficiency, and cost effectiveness are discussed. The topics are presented in an introductory manner, such that besides basic mathematical standard knowledge in analysis and linear algebra no further prerequisites are necessary. The book is suitable either for self-study or as an accompanying textbook for corresponding lectures. It can be useful for students of engineering disciplines as well as for computational engineers in industrial practice.



Finite Element Method


Finite Element Method
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Author : G.R. Liu
language : en
Publisher: Elsevier
Release Date : 2003-02-21

Finite Element Method written by G.R. Liu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-21 with Technology & Engineering categories.


The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer. Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout. The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. A practical and accessible guide to this complex, yet important subject Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality