[PDF] Computational Engineering Introduction To Numerical Methods eBook

Author : Michael Schäfer
Publisher : Springer Nature
Page : 374 pages
File Size : 38,76 MB
Release : 2021-07-19
Category : Technology & Engineering
ISBN : 3030760278

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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.

Author : Michael Schäfer
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 36,58 MB
Release : 2006-05-01
Category : Technology & Engineering
ISBN : 3540306862

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This book is an introduction to modern numerical methods in engineering. It covers applications in fluid mechanics, structural mechanics, and heat transfer as the most relevant fields for engineering disciplines such as computational engineering, scientific computing, mechanical engineering as well as chemical and civil engineering. The content covers all aspects in the interdisciplinary field which are essential for an ''up-to-date'' engineer.

Author : Michael Schäfer
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 37,33 MB
Release : 2006-02-20
Category : Mathematics
ISBN : 9783540306856

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Introduction.- Modelling of Continuum Mechanical Problems.- Discretization of Problem Domain.- Finite-Volume Methods.- Finite-Element Methods.- Time Discretization.- Solution of Algebraic Systems of Equations.- Properties of Numerical Methods.- Finite-Element Methods in Structural Mechanics.- Finite-Volume Methods for Incompressible Flows.- Acceleration of Computations.- List of Symbols.- References.- Index.

Author : Wen Shen
Publisher : World Scientific
Page : 339 pages
File Size : 44,89 MB
Release : 2019-08-28
Category : Mathematics
ISBN : 9811204438

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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.

Author : Uri M. Ascher
Publisher : SIAM
Page : 574 pages
File Size : 19,34 MB
Release : 2011-07-14
Category : Mathematics
ISBN : 0898719976

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

Author : James F. Epperson
Publisher : John Wiley & Sons
Page : 579 pages
File Size : 32,64 MB
Release : 2013-06-06
Category : Mathematics
ISBN : 1118626230

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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.

Author : J.R. Dormand
Publisher : CRC Press
Page : 385 pages
File Size : 14,36 MB
Release : 2018-05-04
Category : Mathematics
ISBN : 1351083554

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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.

Author : Karl F. Warnick
Publisher : SciTech Publishing
Page : 376 pages
File Size : 24,55 MB
Release : 2020-09-26
Category : Technology & Engineering
ISBN : 9781839530739

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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.

Author : Hans Petter Langtangen
Publisher : Springer Nature
Page : 395 pages
File Size : 11,58 MB
Release : 2019-09-26
Category : Mathematics
ISBN : 3030237885

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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.

Author : S. P. Venkateshan
Publisher : Springer Nature
Page : 824 pages
File Size : 11,63 MB
Release : 2023-05-31
Category : Technology & Engineering
ISBN : 3031082265

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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.