Computational Engineering Introduction To Numerical Methods

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Computational Engineering - Introduction to Numerical Methods

Michael Schäfer
Computational Engineering Introduction to Numerical Methods Book PDF

Author : Michael Schäfer
Publisher : Springer Nature
Page : 374 pages
File Size : 41,9 Mb
Release : 2021-07-19
Category : Technology & Engineering
ISBN : 9783030760274

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Computational Engineering - Introduction to Numerical Methods by Michael Schäfer Pdf

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.

An Introduction to Numerical Methods and Analysis

James F. Epperson
An Introduction to Numerical Methods and Analysis Book PDF

Author : James F. Epperson
Publisher : John Wiley & Sons
Page : 579 pages
File Size : 49,8 Mb
Release : 2013-06-06
Category : Mathematics
ISBN : 9781118626238

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An Introduction to Numerical Methods and Analysis by James F. Epperson Pdf

Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many detailed worked examples . . ." —The Mathematical Gazette ". . . an up-to-date and user-friendly account . . ." —Mathematika An Introduction to Numerical Methods and Analysis addresses the mathematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics. A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth. The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.

Introduction To Numerical Computation, An (Second Edition)

Wen Shen
Introduction To Numerical Computation An Second Edition Book PDF

Author : Wen Shen
Publisher : World Scientific
Page : 339 pages
File Size : 46,6 Mb
Release : 2019-08-28
Category : Mathematics
ISBN : 9789811204432

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Introduction To Numerical Computation, An (Second Edition) by Wen Shen Pdf

This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.

Introduction to Numerical Methods for Variational Problems

Hans Petter Langtangen,Kent-Andre Mardal
Introduction to Numerical Methods for Variational Problems Book PDF

Author : Hans Petter Langtangen,Kent-Andre Mardal
Publisher : Springer Nature
Page : 395 pages
File Size : 46,6 Mb
Release : 2019-09-26
Category : Mathematics
ISBN : 9783030237882

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Introduction to Numerical Methods for Variational Problems by Hans Petter Langtangen,Kent-Andre Mardal Pdf

This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

A First Course in Numerical Methods

Uri M. Ascher,Chen Greif
A First Course in Numerical Methods Book PDF

Author : Uri M. Ascher,Chen Greif
Publisher : SIAM
Page : 574 pages
File Size : 47,6 Mb
Release : 2011-07-14
Category : Mathematics
ISBN : 9780898719970

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A First Course in Numerical Methods by Uri M. Ascher,Chen Greif Pdf

Offers students a practical knowledge of modern techniques in scientific computing.

Numerical Methods for Engineering

Karl F. Warnick
Numerical Methods for Engineering Book PDF

Author : Karl F. Warnick
Publisher : SciTech Publishing
Page : 376 pages
File Size : 54,9 Mb
Release : 2020-09-26
Category : Technology & Engineering
ISBN : 1839530731

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Numerical Methods for Engineering by Karl F. Warnick Pdf

The revised and updated second edition of this textbook teaches students to create computer codes used to engineer antennas, microwave circuits, and other critical technologies for wireless communications and other applications of electromagnetic fields and waves. Worked code examples are provided for MATLAB technical computing software.

An Introduction to Computational Engineering with Matlab

Xin-She Yang
An Introduction to Computational Engineering with Matlab Book PDF

Author : Xin-She Yang
Publisher : Cambridge Int Science Publishing
Page : 263 pages
File Size : 55,6 Mb
Release : 2006
Category : Computers
ISBN : 9781904602521

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An Introduction to Computational Engineering with Matlab by Xin-She Yang Pdf

This book strives to provide a concise introduction to computational engineering by introducing a wide range of numerical methods commonly used, such as finite difference methods, finite volume methods, finite element methods, and virtual bee algorithms. (Computer Books)

Numerical Methods for Differential Equations

J.R. Dormand
Numerical Methods for Differential Equations Book PDF

Author : J.R. Dormand
Publisher : CRC Press
Page : 385 pages
File Size : 42,9 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9781351083553

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Numerical Methods for Differential Equations by J.R. Dormand Pdf

With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All techniques covered in the text are on a program disk included with the book, and are written in Fortran 90. These programs are ideal for students, researchers, and practitioners because they allow for straightforward application of the numerical methods described in the text. The code is easily modified to solve new systems of equations. Numerical Methods for Differential Equations: A Computational Approach also contains a reliable and inexpensive global error code for those interested in global error estimation. This is a valuable text for students, who will find the derivations of the numerical methods extremely helpful and the programs themselves easy to use. It is also an excellent reference and source of software for researchers and practitioners who need computer solutions to differential equations.

Computational Methods for Numerical Analysis with R

James P Howard, II
Computational Methods for Numerical Analysis with R Book PDF

Author : James P Howard, II
Publisher : CRC Press
Page : 257 pages
File Size : 46,7 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781498723640

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Computational Methods for Numerical Analysis with R by James P Howard, II Pdf

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.

A Graduate Introduction to Numerical Methods

Robert M. Corless,Nicolas Fillion
A Graduate Introduction to Numerical Methods Book PDF

Author : Robert M. Corless,Nicolas Fillion
Publisher : Springer Science & Business Media
Page : 869 pages
File Size : 41,8 Mb
Release : 2013-12-12
Category : Mathematics
ISBN : 9781461484530

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A Graduate Introduction to Numerical Methods by Robert M. Corless,Nicolas Fillion Pdf

This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well some Matlab codes provided online as supplementary material. “I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.

An Introduction to Computational Science

Allen Holder,Joseph Eichholz
An Introduction to Computational Science Book PDF

Author : Allen Holder,Joseph Eichholz
Publisher : Springer
Page : 470 pages
File Size : 50,7 Mb
Release : 2019-06-18
Category : Business & Economics
ISBN : 9783030156794

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An Introduction to Computational Science by Allen Holder,Joseph Eichholz Pdf

This textbook provides an introduction to the growing interdisciplinary field of computational science. It combines a foundational development of numerical methods with a variety of illustrative applications spread across numerous areas of science and engineering. The intended audience is the undergraduate who has completed introductory coursework in mathematics and computer science. Students gain computational acuity by authoring their own numerical routines and by practicing with numerical methods as they solve computational models. This education encourages students to learn the importance of answering: How expensive is a calculation, how trustworthy is a calculation, and how might we model a problem to apply a desired numerical method? The text is written in two parts. Part I provides a succinct, one-term inauguration into the primary routines on which a further study of computational science rests. The material is organized so that the transition to computational science from coursework in calculus, differential equations, and linear algebra is natural. Beyond the mathematical and computational content of Part I, students gain proficiency with elemental programming constructs and visualization, which are presented in MATLAB syntax. The focus of Part II is modeling, wherein students build computational models, compute solutions, and report their findings. The models purposely intersect numerous areas of science and engineering to demonstrate the pervasive role played by computational science.

Computational Methods in Engineering

S. P. Venkateshan,Prasanna Swaminathan
Computational Methods in Engineering Book PDF

Author : S. P. Venkateshan,Prasanna Swaminathan
Publisher : Springer Nature
Page : 824 pages
File Size : 51,8 Mb
Release : 2023-05-31
Category : Technology & Engineering
ISBN : 9783031082269

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Computational Methods in Engineering by S. P. Venkateshan,Prasanna Swaminathan Pdf

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.

Programming for Computations - Python

Svein Linge,Hans Petter Langtangen
Programming for Computations Python Book PDF

Author : Svein Linge,Hans Petter Langtangen
Publisher : Springer
Page : 244 pages
File Size : 50,5 Mb
Release : 2016-07-25
Category : Computers
ISBN : 9783319324289

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Programming for Computations - Python by Svein Linge,Hans Petter Langtangen Pdf

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Numerical Methods in Engineering with Python 3

Jaan Kiusalaas
Numerical Methods in Engineering with Python 3 Book PDF

Author : Jaan Kiusalaas
Publisher : Cambridge University Press
Page : 437 pages
File Size : 47,6 Mb
Release : 2013-01-21
Category : Computers
ISBN : 9781107033856

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Numerical Methods in Engineering with Python 3 by Jaan Kiusalaas Pdf

Provides an introduction to numerical methods for students in engineering. It uses Python 3, an easy-to-use, high-level programming language.

Numerical Analysis with Applications in Mechanics and Engineering

Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea
Numerical Analysis with Applications in Mechanics and Engineering Book PDF

Author : Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea
Publisher : John Wiley & Sons
Page : 458 pages
File Size : 45,9 Mb
Release : 2013-05-07
Category : Computers
ISBN : 9781118614624

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Numerical Analysis with Applications in Mechanics and Engineering by Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea Pdf

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.