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Computational Methods Using MATLAB®

An introduction for physicists
P K Thiruvikraman

Description

This book provides an introduction to the computational methods commonly employed by physicists and engineers. The book discusses the details of the numerical algorithms involved and also provides MATLAB code for their implementation. Applications of numerical methods to various physical systems including nonlinear systems and fractals are also discussed. Each chapter has a number of solved examples and end of chapter exercises. Solutions to most of the exercises have also been included. The book is suitable for undergraduates in physics or engineering. The methods discussed and some of the examples will also be useful for other scientists and engineers who wish to learn the basics of computational/ numerical methods for solving problems.

Key Features:

  • Comprehensive coverage of basic theory
  • Accompanying MATLAB programs
  • Applications of computational methods to various areas of physics
  • Worked examples and end of chapter problems
  • Enhanced with animation and sound files

About Editors

P K Thiruvikraman is currently Professor of Physics at Birla Institute of Technology and Science, Pilani, Hyderabad Campus. He has nearly two decades of experience in teaching courses from many areas of Physics. The author has a PhD in Physics from Mangalore University and a Master's degree in Physics from Indian Institute of Technology, Madras. He has also authored the book A course on Digital Image Processing with MATLAB.


Table of Contents

PREFACE

ABOUT THE AUTHOR

1. INTRODUCTION

2. INTRODUCTION TO PROGRAMMING WITH MATLAB

3. FINDING ROOTS AND ZEROS OF A FUNCTION

4. INTERPOLATION

5. NUMERICAL LINEAR ALGEBRA

6. NUMERICAL INTEGRATION AND DIFFERENTIATION

7. MONTE CARLO INTEGRATION 

8. APPLICATIONS OF MONTE CARLO METHODS

9. ORDINARY DIFFERENTIAL EQUATIONS

10. PARTIAL DIFFERENTIAL EQUATIONS

11. NONLINEAR DYNAMICS, CHAOS, AND FRACTALS 

Appendix. SOLUTIONS TO SELECTED EXERCISES

Bibliographic

Hardback ISBN: 9780750337892

Ebook ISBN: 9780750337915

DOI: 10.1088/978-0-7503-3791-5

Publisher: Institute of Physics Publishing

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