如何自学 占星术 占星教程网盘 塔罗牌教程百度网盘

NUMERICAL METHODS AN INTRODUCTION WITH APPLICATIONS USING MATLAB SECOND EDITION SI VERSIONPDF电子书下载

外文

• 作 者：AMOS GILAT VISH SUBRAMANIAM
• 出 版 社：COPYRIGHT
• 出版年份：2011
• ISBN：0470873748
• 页数：460 页

图书介绍： 查看图书目录点击购买PDF全本电子书 上一篇：GALILEAN MECHANICS AND THERMODYNAMICS OF CONTINUA下一篇：ADVANCES IN MEDICAL ONCOLOGY RESEARCH AND EDUCATION VOLUME IX DIGESTIVE CANCER 《NUMERICAL METHODS AN INTRODUCTION WITH APPLICATIONS USING MATLAB SECOND EDITION SI VERSION》目录 标签：

Chapter 1 Introduction1

1.1 Background1

1.2 Representation of Numbers on a Computer4

1.3 Errors in Numerical Solutions10

1.3.1 Round-Off Errors10

1.3.2 Truncation Errors13

1.3.3 Total Error14

1.4 Computers and Programming15

1.5 Problems18

Chapter 2 Solving Nonlinear Equations23

2.1 Background23

2.2 Estimation of Errors in Numerical Solutions25

2.3 Bisection Method27

2.4 Regula Falsi Method30

2.5 Newton’s Method32

2.6 Secant Method37

2.7 Fixed-Point Iteration Method40

2.8 Use of MATLAB Built-In Functions for Solving Nonlinear Equations43

2.8.1 The fzero Command44

2.8.2 The roots Command45

2.9 Equations with Multiple Solutions45

2.10 Systems of Nonlinear Equations47

2.10.1 Newton s Method for Solving a System of Nonlinear Equations48

2.10.2 Fixed-Point Iteration Method for Solving a System of Nonlinear Equations52

2.11 Problems54

Chapter 3 Solving a System of Linear Equations65

3.1 Background65

3.1.1 Overview of Numerical Methods for Solving a System of Linear Algebraic Equations66

3.2 Gauss Elimination Method68

3.2.1 Potential Difficulties When Applying the Gauss Elimination Method76

3.3 Gauss Elimination with Pivoting78

3.4 Gauss-Jordan Elimination Method81

3.5 LU Decomposition Method84

3.5.1 LU Decomposition Using the Gauss Elimination Procedure86

3.5.2 LU Decomposition Using Crouts Method87

3.5.3 LU Decomposition with Pivoting94

3.6 Inverse of a Matrix94

3.6.1 Calculating the Inverse with the LU Decomposition Method95

3.6.2 Calculating the Inverse Using the Gauss-Jordan Method97

3.7 Iterative Methods98

3.7.1 Jacobi Iterative Method99

3.7.2 Gauss-Seidel Iterative Method99

3.8 Use of MATLAB Built-In Functions for Solving a System of Linear Equations102

3.8.1 Solving a System of Equations Using MATLABs Left and Right Division102

3.8.2 Solving a System of Equations Using MATLABs Inverse Operation103

3.8.3 MATLABs Built-In Function for L U Decomposition104

3.8.4 Additional MATLAB Built-In Functions105

3.9 Tridiagonal Systems of Equations107

3.10 Error，Residual，Norms，and Condition Number112

3.10.1 Error and Residual112

3.10.2 Norms and Condition Number114

3.11 Ill-Conditioned Systems117

3.12 Eigenvalues and Eigenvectors121

3.12.1 The Basic Power Method124

3.12.2 The Inverse Power Method128

3.12.3 The Shifted Power Method129

3.12.4 The QR Factorization and Iteration Method129

3.12.5 Use of MA TLAB Built-In Functions for Determining Eigenvalues and Eigenvectors139

3.13 Problems141

Chapter 4 Curve Fitting and Interpolation153

4.1 Background153

4.2 Curve Fitting with a Linear Equation155

4.2.1 Measuring How Good Is a Fit155

4.2.2 Linear Least-Squares Regression157

4.3 Curve Fitting with Nonlinear Equation by Writing the Equation in a Linear Form161

4.4 Curve Fitting with Quadratic and Higher-Order Polynomials165

4.5 Interpolation Using a Single Polynomial170

4.5.1 Lagrange Interpolating Polynomials172

4.5.2 Newton’s Interpolating Polynomials176

4.6 Piecewise （Spline） Interpolation183

4.6.1 Linear Splines183

4.6.2 Quadratic Splines185

4.6.3 Cubic Splines189

4.7 Use of MATLAB Built-In Functions for Curve Fitting and Interpolation196

4.8 Curve Fitting with a Linear Combination of Nonlinear Functions198

4.9 Problems201

Chapter 5 Numerical Differentiation211

5.1 Background211

5.2 Finite Difference Approximation of the Derivative213

5.3 Finite Difference Formulas Using Taylor Series Expansion218

5.3.1 Finite Difference Formulas of First Derivative218

5.3.2 Finite Difference Formulas for the Second Derivative223

5.4 Summary of Finite Difference Formulas for Numerical Differentiation225

5.5 Differentiation Formulas Using Lagrange Polynomials227

5.6 Differentiation Using Curve Fitting228

5.7 Use of MATLAB Built-In Functions for Numerical Differentiation228

5.8 Richardson’s Extrapolation230

5.9 Error in Numerical Differentiation233

5.10 Numerical Partial Differentiation235

5.11 Problems238

Chapter 6 Numerical Integration249

6.1 Background249

6.1.1 Overview ofApproaches in Numerical Integration250

6.2 Rectangle and Midpoint Methods252

6.3 Trapezoidal Method254

6.3.1 Composite Trapezoidal Method255

6.4 Simpson’s Methods258

6.4.1 Simpson s 1/3 Method258

6.4.2 Simpson s 3/8 Method261

6.5 Gauss Quadrature263

6.6 Evaluation of Multiple Integrals269

6.7 Use of MATLAB Built-In Functions for Integration270

6.8 Estimation of Error in Numerical Integration272

6.9 Richardson’s Extrapolation274

6.10 Romberg Integration277

6.11 Improper Integrals280

6.11.1 Integrals with Singularities280

6.11.2 Integrals with Unbounded Limits281

6.12 Problems282

Chapter 7 Ordinary Differential Equations：Initial-Value Problems293

7.1 Background293

7.2 Euler’s Methods298

7.2.1 Euler’s Explicit Method298

7.2.2 Analysis of Truncation Error in Euler’s Explicit Method302

7.2.3 Euler’s Implicit Method306

7.3 Modified Euler’s Method309

7.4 Midpoint Method312

7.5 Runge-Kutta Methods313

7.5.1 Second-Order Runge-Kutta Methods314

7.5.2 Third-Order Runge Kutta Methods318

7.5.3 Fourth-Order Runge-Kutta Methods319

7.6 Multistep Methods325

7.6.1 Adams-Bashforth Method326

7.6.2 Adams-Moulton Method327

7.7 Predictor-Corrector Methods328

7.8 System of First-Order Ordinary Differential Equations330

7.8.1 Solving a System of First-Order ODEs Using Euler’s Explicit Method332

7.8.2 Solving a System ofFirst-Order ODEs Using Second-Order Runge-Kutta Method （Modified Euler Version）332

7.8.3 Solving a System of First-Order ODEs Using the Classical Fourth-Order Runge-Kutta Method339

7.9 Solving a Higher-Order Initial Value Problem340

7.10 Use of MATLAB Built-In Functions for Solving Initial-Value Problems345

7.10.1 Solving a Single First-Order ODE Using MA TLAB346

7.10.2 Solving a System of First-Order ODEs Using MATLAB352

7.11 Local Truncation Error in Second-Order Range-Kutta Method355

7.12 Step Size For Desired Accuracy356

7.13 Stability360

7.14 Stiff Ordinary Differential Equations362

7.15 Problems365

Chapter 8 Ordinary Differential Equations：Boundary-Value Problems377

8.1 Background377

8.2 The Shooting Method380

8.3 Finite Difference Method388

8.4 Use of MATLAB Built-In Functions for Solving Boundary Value Problems398

8.5 Error and Stability in Numerical Solution of Boundary Value Problems403

8.6 Problems405

Appendix A Introductory MATLAB415

A.1 Background415

A.2 Starting with MATLAB415

A.3 Arrays420

A.4 Mathematical Operations with Arrays425

A.5 Script Files430

A.6 Plotting432

A.7 User-Defined Functions and Function Files434

A.8 Anonymous Functions436

A.9 Function functions438

A.10 Subfunctions441

A.11 Programming in MATLAB443

A.11.1 Relational and Logical Operators443

A.11.2 Conditional Statements，if-else Structures444

A.11.3 Loops447

A.12 Problems448

Appendix B MATLAB Programs453

Index457

相关图书

作者其它书籍

• 《朗文大赢家小学英语教程 2》杨枫，（英）阿莫斯（Amos，E.）主编 2006
• 《第一次当经理 新经理的生存手册》（英）朱丽叶-安·阿莫斯（Julie-Ann Amos）着；宋克勤，张彻译 2004
• 《朗文大赢家小学英语教程 1》杨枫，（英）阿莫斯（Amos，E.）主编 2006
• 《朗文大赢家小学英语教程 4》杨枫，（英）阿莫斯（Amos，E.）主编 2006
• 《建成环境的意义 非言语表达方法》（美）阿摩斯·拉普卜特（Amos Rapoport）着；黄兰谷等译 2003
• 《夸美纽斯教育论着选》（捷）夸美纽斯（Comenius，Johan Amos）着；任钟印选编；任宝祥等译 1990
• 《THE SUCCESSFUL STUDENT’S GUIDE TO COLLEGE》JANET A.AMOS 1999
• 《FREEDOM OF EXPRESSION AND THE MEDIA》MERRIS AMOS 2012
• 《PRACTICAL LIQUID CHROMATOGRAPHY》S.G.PERRY R.AMOS P.I.BREWER 2222
• 《AROMATIC FLUORINE COMPOUNDS》ATTILA E.PAVLATH AND AMOS J.LEFFLER 2222

出版社其它书籍

本类热门

• 1PERIODICAL TITLE ABBREVIATIONS
• 2LEWIN’S GENES XII
• 3Mansfield Park（1814）
• 4CREDIT MODELS AND CRISIS
• 5Pride And Drejudice（1812）
• 6Sense And Sensibility（1811）
• 7HANDBOOK OF BUSINESS FORMULAS AND CONTROLS
• 8Emma（1815）
• 9Northanger Abbey（1818）
• 10HUMANITIES THE EVOLUTION OF VALUES

摘要：NUMERICAL METHODS AN INTRODUCTION WITH APPLICATIONS USING MATLAB SECOND EDITION SI VERSION.pdf电子书版文档下载是一本深入浅出的数值方法教材，通过MATLAB软件的应用，使读者能够更好地理解和掌握数值方法的基本原理和应用。本书内容丰富，结构清晰，适合广大数学、物理、工程等专业学生和科研工作者阅读。

1、内容概述

NUMERICAL METHODS AN INTRODUCTION WITH APPLICATIONS USING MATLAB SECOND EDITION SI VERSION.pdf电子书版文档下载共分为12章，涵盖了数值方法的基本概念、常用算法以及MATLAB编程技巧。书中不仅介绍了数值方法的理论知识，还通过大量的实例和习题，使读者能够将理论知识与实际问题相结合，提高解决实际问题的能力。

本书的第一章介绍了数值方法的基本概念和MATLAB软件的基本操作。第二章至第五章分别介绍了数值微分、数值积分、线性方程组和矩阵运算等基本数值方法。第六章至第十章介绍了非线性方程、常微分方程、偏微分方程和优化问题等高级数值方法。第十一章和第十二章分别介绍了数值模拟和数值计算在工程和科学中的应用。

本书的特点是将数值方法与MATLAB软件相结合，使读者能够通过编程实践来加深对数值方法的理解。书中提供了大量的MATLAB代码示例，使读者能够轻松地将理论知识应用到实际问题中。

2、MATLAB应用

NUMERICAL METHODS AN INTRODUCTION WITH APPLICATIONS USING MATLAB SECOND EDITION SI VERSION.pdf电子书版文档下载在MATLAB应用方面具有以下特点：

首先，书中提供了大量的MATLAB代码示例，使读者能够通过编程实践来加深对数值方法的理解。这些代码示例涵盖了数值方法的基本原理和应用，使读者能够将理论知识与实际问题相结合。

其次，书中介绍了MATLAB编程技巧，使读者能够更好地利用MATLAB软件进行数值计算。这些技巧包括MATLAB函数的编写、数据可视化、数值计算优化等。

最后，书中还介绍了MATLAB工具箱的使用，使读者能够利用MATLAB工具箱解决实际问题。这些工具箱包括数值计算工具箱、符号计算工具箱、优化工具箱等。

3、实例分析

NUMERICAL METHODS AN INTRODUCTION WITH APPLICATIONS USING MATLAB SECOND EDITION SI VERSION.pdf电子书版文档下载通过大量的实例分析，使读者能够更好地理解和掌握数值方法的应用。以下是一些典型的实例分析：

例如，在数值微分章节中，书中通过实例分析了如何利用MATLAB软件求解函数的导数。在数值积分章节中，书中通过实例分析了如何利用MATLAB软件求解定积分和变积分。在线性方程组章节中，书中通过实例分析了如何利用MATLAB软件求解线性方程组。

此外，书中还通过实例分析了如何利用MATLAB软件解决非线性方程、常微分方程、偏微分方程和优化问题等实际问题。这些实例分析使读者能够将数值方法应用于实际问题，提高解决实际问题的能力。

4、总结与展望

NUMERICAL METHODS AN INTRODUCTION WITH APPLICATIONS USING MATLAB SECOND EDITION SI VERSION.pdf电子书版文档下载是一本优秀的数值方法教材，通过MATLAB软件的应用，使读者能够更好地理解和掌握数值方法的基本原理和应用。本书内容丰富，结构清晰，适合广大数学、物理、工程等专业学生和科研工作者阅读。

随着科学技术的不断发展，数值方法在各个领域的应用越来越广泛。本书的出版将为读者提供一本实用的数值方法教材，帮助他们更好地应对实际问题。

总结：

NUMERICAL METHODS AN INTRODUCTION WITH APPLICATIONS USING MATLAB SECOND EDITION SI VERSION.pdf电子书版文档下载是一本深入浅出的数值方法教材，通过MATLAB软件的应用，使读者能够更好地理解和掌握数值方法的基本原理和应用。本书内容丰富，结构清晰，适合广大数学、物理、工程等专业学生和科研工作者阅读。

本文由nayona.cn整理

点击联系需要东西方神秘学学习资料，专业的咨询