Numerical Methods for Engineers and Scientists Using MATLAB®
Crc Press Inc (Verlag)
978-1-4665-8569-0 (ISBN)
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Provides fully worked-out examples showing all details
Confirms results through the execution of the user-defined function or the script file
Executes built-in functions for re-confirmation, when available
Generates plots regularly to shed light on the soundness and significance of the numerical results
Created to be user-friendly and easily understandable, Numerical Methods for Engineers and Scientists Using MATLAB® provides background material and a broad introduction to the essentials of MATLAB, specifically its use with numerical methods. Building on this foundation, it introduces techniques for solving equations and focuses on curve fitting and interpolation techniques. It addresses numerical differentiation and integration methods, presents numerical methods for solving initial-value and boundary-value problems, and discusses the matrix eigenvalue problem, which entails numerical methods to approximate a few or all eigenvalues of a matrix. The book then deals with the numerical solution of partial differential equations, specifically those that frequently arise in engineering and science.
The book presents a user-defined function or a MATLAB script file for each method, followed by at least one fully worked-out example. When available, MATLAB built-in functions are executed for confirmation of the results. A large set of exercises of varying levels of difficulty appears at the end of each chapter. The concise approach with strong, up-to-date MATLAB integration provided by this book affords readers a thorough knowledge of the fundamentals of numerical methods utilized in various disciplines.
Dr. Ramin S. Esfandiari is a professor of mechanical and aerospace engineering at California State University, Long Beach. He received his BS in mechanical engineering, as well as his MA and PhD in applied mathematics from the University of California, Santa Barbara. He has authored several books and refereed research papers in high-quality engineering and scientific journals, including Modeling and Analysis of Dynamic Systems (CRC Press, 2010) with Dr. Bei Lu. Dr. Esfandiari has received several teaching and research awards, including two Meritorious Performance and Professional Promise Awards, the TRW Excellence in Teaching and Scholarship Award, and the Distinguished Faculty Teaching Award.
Background and Introduction
Background
Introduction to Numerical Methods
Problem Set
Introduction to MATLAB®
MATLAB® Built-In Functions
Vectors and Matrices
User-Defined Functions and Script Files
Program Flow Control
Displaying Formatted Data
Symbolic Toolbox
Plotting
Problem Set
Solution of Equations of a Single Variable
Numerical Solution of Equations
Bisection Method
Regula Falsi Method (Method of False Position)
Fixed-Point Method
Newton’s Method (Newton−Raphson Method)
Secant Method
Equations with Several Roots
Problem Set
Solution of Systems of Equations
Linear Systems of Equations
Numerical Solution of Linear Systems
Gauss Elimination Method
LU Factorization Methods
Iterative Solution of Linear Systems
Ill-Conditioning and Error Analysis
Systems of Nonlinear Equations
Problem Set
Curve Fitting (Approximation) and Interpolation
Least-Squares Regression
Linear Regression
Linearization of Nonlinear Data
Polynomial Regression
Polynomial Interpolation
Spline Interpolation
Fourier Approximation and Interpolation
Problem Set
Numerical Differentiation and Integration
Numerical Differentiation
Finite-Difference Formulas for Numerical Differentiation
Numerical Integration: Newton–Cotes Formulas
Numerical Integration of Analytical Functions: Romberg Integration, Gaussian Quadrature
Improper Integrals
Problem Set
Numerical Solution of Initial-Value Problems
One-Step Methods
Euler’s Method
Runge–Kutta Methods
Multistep Methods
Systems of Ordinary Differential Equations
Stability
Stiff Differential Equations
MATLAB® Built-In Functions for Initial-Value Problems
Problem Set
Numerical Solution of Boundary-Value Problems
Shooting Method
Finite-Difference Method
BVPs with Mixed Boundary Conditions
MATLAB® Built-In Function bvp4c for BVPs
Problem Set
Matrix Eigenvalue Problem
Power Method: Estimation of the Dominant Eigenvalue
Deflation Methods
Householder Tridiagonalization and QR Factorization Methods
Problem Set
Numerical Solution of Partial Differential Equations
Introduction
Elliptic PDEs
Parabolic PDEs
Hyperbolic PDEs
Problem Set
Bibliography
Index
| Erscheint lt. Verlag | 3.7.2013 |
|---|---|
| Zusatzinfo | Approx 1,493 equations - SEE NOTES 1st, 2nd and 3rd printings!!; 121 Tables, black and white; 371 Illustrations, black and white |
| Verlagsort | Bosa Roca |
| Sprache | englisch |
| Maße | 156 x 235 mm |
| Gewicht | 771 g |
| Themenwelt | Mathematik / Informatik ► Informatik |
| Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra | |
| ISBN-10 | 1-4665-8569-2 / 1466585692 |
| ISBN-13 | 978-1-4665-8569-0 / 9781466585690 |
| Zustand | Neuware |
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