Applied Numerical Methods Using MATLAB

Author: Won Y. Yang  

Publisher: John Wiley & Sons Inc‎

Publication year: 2005

E-ISBN: 9780471705185

P-ISBN(Hardback):  9780471698333

Subject: O245 数值软件

Language: ENG

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Description

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.

An Instructor's Manual presenting detailed solutions to all the problems in the book is available online.

Chapter

CONTENTS

pp.:  1 – 9

Preface

pp.:  9 – 15

2 System of Linear Equations

pp.:  17 – 87

3 Interpolation and Curve Fitting

pp.:  87 – 133

4 Nonlinear Equations

pp.:  133 – 195

5 Numerical Differentiation/Integration

pp.:  195 – 225

6 Ordinary Differential Equations

pp.:  225 – 279

7 Optimization

pp.:  279 – 337

8 Matrices and Eigenvalues

pp.:  337 – 387

9 Partial Differential Equations

pp.:  387 – 417

Appendix A. Mean Value Theorem

pp.:  417 – 477

Appendix B. Matrix Operations/Properties

pp.:  477 – 479

Appendix C. Differentiation with Respect to a Vector

pp.:  479 – 487

Appendix D. Laplace Transform

pp.:  487 – 489

Appendix E. Fourier Transform

pp.:  489 – 491

Appendix F. Useful Formulas

pp.:  491 – 493

Appendix G. Symbolic Computation

pp.:  493 – 497

Appendix H. Sparse Matrices

pp.:  497 – 505

Appendix I. MATLAB

pp.:  505 – 507

References

pp.:  507 – 513

Subject Index

pp.:  513 – 515

Index for MATLAB Routines

pp.:  515 – 519

Index for Tables

pp.:  519 – 525

LastPages

pp.:  525 – 525

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