Applied Numerical Methods Using MATLAB

Won Y. Yang, Wenwu Cao, Jaekwon Kim, Kyung W. Park, Ho-Hyun Park, Jingon Joung, Jong-Suk Ro, Han L. Lee, Cheol-Ho Hong, Taeho Im

• Publisher: Wiley
• Year: 2020
• Print ISBN: 9781119626800
• eBook ISBN: 9781119626824
• Edition: 2
• Topic: Mathematics
• Subtopic: Programming
• Index: Mathematics

This new edition provides an updated approach for students, engineers, and researchers to apply numerical methods for solving problems using MATLAB^® 

This accessible book makes use of MATLAB^® software to teach the fundamental concepts for applying numerical methods to solve practical engineering and/or science problems. It presents programs in a complete form so that readers can run them instantly with no programming skill, allowing them to focus on understanding the mathematical manipulation process and making interpretations of the results.

Applied Numerical Methods Using MATLAB^®, Second Edition begins with an introduction to MATLAB usage and computational errors, covering everything from input/output of data, to various kinds of computing errors, and on to parameter sharing and passing, and more. The system of linear equations is covered next, followed by a chapter on the interpolation by Lagrange polynomial. The next sections look at interpolation and curve fitting, nonlinear equations, numerical differentiation/integration, ordinary differential equations, and optimization. Numerous methods such as the Simpson, Euler, Heun, Runge-kutta, Golden Search, Nelder-Mead, and more are all covered in those chapters. The eighth chapter provides readers with matrices and Eigenvalues and Eigenvectors. The book finishes with a complete overview of differential equations.

• Provides examples and problems of solving electronic circuits and neural networks
• Includes new sections on adaptive filters, recursive least-squares estimation, Bairstow's method for a polynomial equation, and more
• Explains Mixed Integer Linear Programing (MILP) and DOA (Direction of Arrival) estimation with eigenvectors
• Aimed at students who do not like and/or do not have time to derive and prove mathematical results

Applied Numerical Methods Using MATLAB^®, Second Edition is an excellent text for students who wish to develop their problem-solving capability without being involved in details about the MATLAB codes. It will also be useful to those who want to delve deeper into understanding underlying algorithms and equations.

Table of contents

• Cover
• Table of Contents
• Preface
• Acknowledgments
• About the Companion Website
• 1 MATLAB Usage and Computational Errors
• 2 System of Linear Equations
• 3 Interpolation and Curve Fitting
• 4 Nonlinear Equations
• 5 Numerical Differentiation/Integration
• 6 Ordinary Differential Equations
• 7 Optimization
• 8 Matrices and Eigenvalues
• 9 Partial Differential Equations
• Appendix A: Appendix AMean Value TheoremMean Value Theorem
• Appendix B: Appendix BMatrix Operations/PropertiesMatrix Operations/Properties
• Appendix C: Appendix CDifferentiation W.R.T. A VectorDifferentiation W.R.T. A Vector
• Appendix D: Appendix DLaplace TransformLaplace Transform
• Appendix E: Appendix EFourier TransformFourier Transform
• Appendix F: Appendix FUseful FormulasUseful Formulas
• Appendix G: Appendix GSymbolic ComputationSymbolic Computation
• Appendix H: Appendix HSparse MatricesSparse Matrices
• Appendix I: Appendix IMATLABMATLAB
• References
• Index
• Index for MATLAB Functions
• 1 Index for Tables
• End User License Agreement