Applied Numerical Methods Using MATLAB

近年来,随着新媒体产品的引入,编程语言从FORTRAN或C转向MATLAB来实现数值方法。本书利用强大的MATLAB软件避免复杂的推导,并通过软件解决实际问题来教授基本概念。不同于传统教材,本书采用更实用的方法,将每种方法与真实的工程和科学问题联系起来。

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In recent years, with the introduction of new media products, there has been a shift in the use of programming languages from FORTRAN or C to MATLAB for implementing numerical methods. This book makes use of the powerful MATLAB software to avoid complex derivations, and to teach the fundamental concepts using the software to solve practical problems. Over the years, many textbooks have been written on the subject of numerical methods. Based on their course experience, the authors use a more practical approach and link every method to real engineering and/or science problems. The main benefit is that engineers don't have to know the mathematical theory in order to apply the numerical methods for solving their real-life problems.
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Title: Applied Numerical Methods with MATLAB for Engineers and Scientists, 4th Edition Author: Steven Chapra Length: 720 pages Edition: 4 Language: English Publisher: McGraw-Hill Education Publication Date: 2017-02-06 ISBN-10: 0073397962 ISBN-13: 9780073397962 Table of Contents Part One: Modeling, Computers, and Error Analysis Chapter 1 Mathematical Modeling, Numerical Methods, and Problem Solving Chapter 2 MATLAB Fundamentals Chapter 3 Programming with MATLAB Chapter 4 Roundoff and Truncation Errors Part Two: Roots and Optimization Chapter 5 Roots: Bracketing Methods Chapter 6 Roots: Open Methods Chapter 7 Optimization Part Three: Linear Systems Chapter 8 Linear Algebraic Equations and Matrices Chapter 9 Gauss Elimination Chapter 10 LU Factorization Chapter 11 Matrix Inverse and Condition Chapter 12 Iterative Methods Chapter 13 Eigenvalues Part Four: Curve Fitting Chapter 14 Linear Regression Chapter 15 General Linear Least-Squares and Nonlinear Regression Chapter 16 Fourier Analysis Chapter 17 Polynomial Interpolation Chapter 18 Splines and Piecewise Interpolation Part Five: Integration and Differentiation Chapter 19 Numerical Integration Formulas Chapter 20 Numerical Integration of Functions Chapter 21 Numerical Differentiation Part six: Ordinary Differential Equations Chapter 22 Initial-Value Problems Chapter 23 Adaptive Methods and Stiff Systems Chapter 24 Boundary-Value Problems Appendix A: Matlab Built-In Functions Appendix B: Matlab M-File Functions Appendix C: Introduction To Simulink
Numerical Methods: Using MATLAB By 作者: George Lindfield – John Penny ISBN-10 书号: 0128122560 ISBN-13 书号: 9780128122563 Edition 版本: 4 出版日期: 2018-10-30 pages 页数: (608 ) $99.95 The fourth edition of Numerical Methods Using MATLAB® provides a clear and rigorous introduction to a wide range of numerical methods that have practical applications. The authors’ approach is to integrate MATLAB® with numerical analysis in a way which adds clarity to the numerical analysis and develops familiarity with MATLAB®. MATLAB® graphics and numerical output are used extensively to clarify complex problems and give a deeper understanding of their nature. The text provides an extensive reference providing numerous useful and important numerical algorithms that are implemented in MATLAB® to help researchers analyze a particular outcome. By using MATLAB® it is possible for the readers to tackle some large and difficult problems and deepen and consolidate their understanding of problem solving using numerical methods. Many worked examples are given together with exercises and solutions to illustrate how numerical methods can be used to study problems that have applications in the biosciences, chaos, optimization and many other fields. The text will be a valuable aid to people working in a wide range of fields, such as engineering, science and economics. Features many numerical algorithms, their fundamental principles, and applications Includes new sections introducing Simulink, Kalman Filter, Discrete Transforms and Wavelet Analysis Contains some new problems and examples Is user-friendly and is written in a conversational and approachable style Contains over 60 algorithms implemented as MATLAB® functions, and over 100 MATLAB® scripts applying numerical algorithms to specific examples.
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