Numerical Analysis with Applications in Mechanics and Engineering

Numerical Analysis with Applications in Mechanics and Engineering
Author: Petre Teodorescu
Publisher: John Wiley & Sons
Total Pages: 458
Release: 2013-05-07
Genre: Computers
ISBN: 1118614623

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.

Fundamentals of Engineering Numerical Analysis

Fundamentals of Engineering Numerical Analysis
Author: Parviz Moin
Publisher: Cambridge University Press
Total Pages: 257
Release: 2010-08-23
Genre: Technology & Engineering
ISBN: 1139489550

Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Numerical Analysis with Applications in Mechanics and Engineering

Numerical Analysis with Applications in Mechanics and Engineering
Author: Petre Teodorescu
Publisher: John Wiley & Sons
Total Pages: 661
Release: 2013-06-04
Genre: Computers
ISBN: 1118077504

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 for Engineering Applications

Numerical Methods for Engineering Applications
Author: Edward R. Champion
Publisher: CRC Press
Total Pages: 464
Release: 1993-06-29
Genre: Technology & Engineering
ISBN: 9780824791353

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,

Numerical Analysis for Engineers

Numerical Analysis for Engineers
Author: Bilal Ayyub
Publisher: CRC Press
Total Pages: 444
Release: 2015-09-18
Genre: Mathematics
ISBN: 1482250365

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.

Fundamentals of Engineering Numerical Analysis

Fundamentals of Engineering Numerical Analysis
Author: Parviz Moin
Publisher: Cambridge University Press
Total Pages: 257
Release: 2010-08-23
Genre: Mathematics
ISBN: 0521711231

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.

Computational Engineering - Introduction to Numerical Methods

Computational Engineering - Introduction to Numerical Methods
Author: Michael Schäfer
Publisher: Springer Nature
Total Pages: 374
Release: 2021-07-19
Genre: Technology & Engineering
ISBN: 3030760278

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.

Numerical Methods for Engineering Applications

Numerical Methods for Engineering Applications
Author: Joel H. Ferziger
Publisher: Wiley-Interscience
Total Pages: 408
Release: 1998-04-17
Genre: Mathematics
ISBN:

State-of-the-art numerical methods for solving complex engineering problems Great strides in computer technology have been made in the years since the popular first edition of this book was published. Several excellent software packages now help engineers solve complex problems. Making the most of these programs requires a working knowledge of the numerical methods on which the programs are based. Numerical Methods for Engineering Application provides that knowledge. While it avoids intense mathematical detail, Numerical Methods for Engineering Application supplies more in-depth explanations of methods than found in the typical engineer's numerical "cookbook." It offers complete coverage of most commonly encountered algebraic, interpolation, and integration problems. Ordinary differential equations are examined in great detail, as are three common types of partial differential equations--parabolic, elliptic, and hyperbolic. The author also explores a wide range of methods for solving initial and boundary value problems. This complete guide to numerical methods for solving engineering problems on computers provides: * Practical advice on how to select the best method for a given problem * Valuable insights into how each method works and why it is the best choice * Complete algorithms and source code for all programs covered * Code from the book and problem-solving programs designed by the author available from the author's website Numerical Methods for Engineering Application is a valuable working resource for engineers and applied physicists. It also serves as an excellent upper-level text for physics and engineering students in courses on modern numerical methods.

Numerical Methods in Rock Mechanics

Numerical Methods in Rock Mechanics
Author: G. N. Pande
Publisher: John Wiley & Sons
Total Pages: 356
Release: 1990
Genre: Numerical analysis
ISBN:

There have been important changes in rock mechanics during the last decade. This book reflects these changes, particularly in the use of computational methods. It covers the properties and behaviour of rocks, and the ways in which these can be modelled numerically.

Numerical Methods in Mechanics of Materials

Numerical Methods in Mechanics of Materials
Author: Ken P. Chong
Publisher: CRC Press
Total Pages: 318
Release: 2017-11-27
Genre: Technology & Engineering
ISBN: 1351380990

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