Book
Numerical Methods Using MATLAB
| Identifier | --georgelind-432 |
|---|---|
| Penulis / Pengarang | George Lindï¬Âeld, John Penny |
| Kata Kunci | Numerical Methods |
| Tanggal Publikasi | 06 Mar 2018 |
| Bahasa | Bahasa Inggris |
| Abstrak / Deskripsi | Our primary aim in this text is unchanged from previous editions; it is to introduce the reader to a wide range of numerical algorithms, explain their fundamental principles, and illustrate their application. The algorithms are implemented in the software package MATLAB which is constantly being enhanced and provides a powerful tool to help with these studies. Many important theoretical results are discussed but it is not intended to provide a detailed and rigorous theoretical development in every area. Rather, we wish to show how numerical procedures can be applied to solve problems from many ï¬Âelds of application, and that the numerical procedures give the expected theoretical performance when used to solve speciï¬Âc problems. When used with care MATLAB provides a natural and succinct way of describing numerical algorithms and a powerful means of experimenting with them. However, no tool, irrespective of its power, should be used carelessly or uncritically. This text allows the reader to study numerical methods by encouraging systematic experimentation with some of the many fascinating problems of numerical analysis. Although MATLAB provides many useful functions this text also introduces the reader to numerous useful and important algorithms and develops MATLAB functions to implement them. The reader is encouraged to use these functions to produce results in numerical and graphical form. MATLAB provides powerful and varied graphics facilities to give a clearer understanding of the nature of the results produced by the numerical procedures. Particular examples are given throughout the text to illustrate how numerical methods are used to study problems which include applications in biosciences, chaos, neural networks, engineering, and science. It should be noted that the introduction to MATLAB is relatively brief and is meant as an aid to the reader. It can in no way be expected to replace the standard MATLAB manual or textbooks devoted to MATLAB software. We provide a broad introduction to the topics, develop algorithms in the form of MATLAB functions, and encourage the reader to experiment with these functions which have been kept as simple as possible for reasons of clarity. These functions can be improved and we urge readers to develop the ones that are of particular interest to them. In addition to a general introduction to MATLAB, the text covers the solution of linear equations and eigenvalue problems; methods for solving non-linear equations; numerical integration and differentiation; the solution of initial value and boundary value problems; curve ï¬Âtting including splines, least squares, and Fourier analysis, topics in optimization such as interior-point methods, non-linear programming, and heuristic algorithms and, ï¬Ânally, we show how symbolic computing can be integrated with numeric algorithms. Speciï¬Âcally in this 4th edition, descriptions and examples of some functions recently added to MATLAB such as implicit functions and the Live Editor are given in Chapter 1. Chapter 4 now includes a section on adaptive integration. Chapter 5 now includes a brief introduction to Simulink; a toolbox that provides a visual interface to help the user simulating the process of solving differential equations. The old Chapter 7 has been split into two chapters and we have added the Kalman ï¬Âlter and principal component analysis, and the Hilbert, Walsh, and wavelet transform. The old Chapter 8 has had the emphasis on the genetic algorithm reduced and replaced by the more modern and efï¬Âcient differential evolution algorithm. The text contains many worked examples, practice problems (some of which are new to this edition), and solutions and we hope we have provided an interesting range of problems. For readers of this book, additional materials, including all .m ï¬Âle scripts and functions listed in the text, are available on the book’s companion site: https://www.elsevier.com/books-and-journals/ book-companion/9780128122563. For instructors using this book as a text for their courses, a solutions manual is available by registering at the textbook site: www.textbooks.elsevier.com. The text is suitable for undergraduate and postgraduate students and for those working in industry and education. We hope readers will share our enthusiasm for this area of study. For those who do not currently have access to MATLAB, this text still provides a general introduction to a wide range of numerical algorithms and many useful and interesting examples and problems. We would like to thank the many readers from all over the world for their helpful comments which have enhanced this edition and we would be pleased to hear from readers who note errors or have suggestions for improvements. |
| Hak Cipta | Copyright (c) 2001 by . Verbatim copying and distribution of this entire article is permitted by author in any medium, provided this notice is preserved. |
File Lampiran / Download (0)
Tidak ada lampiran berkas digital pada entri metadata ini.
Komentar & Diskusi (0)
Belum ada komentar untuk koleksi ini. Jadilah yang pertama berdiskusi!