# Numerical and Analytical Methods with MATLAB

Series: Computational Mechanics and Applied Analysis
CRC Press | 2010 | ISBN: 1420093576 9781420093575 | 470 Pages | PDF | 13 MB

This volume presents extensive coverage of the MATLAB programming language for engineers. It demonstrates how the built-in functions of MATLAB can be used to solve systems of linear equations, ODEs, roots of transcendental equations, statistical problems, optimization problems, control systems problems, and stress analysis problems.

This classroom-tested text first reviews the essentials involved in writing computer programs as well as fundamental aspects of MATLAB. It next explains how matrices can solve problems of linear equations, how to obtain the roots of algebraic and transcendental equations, how to evaluate integrals, and how to solve various ODEs. After exploring the features of Simulink, the book discusses curve fitting, optimization problems, and PDE problems, such as the vibrating string, unsteady heat conduction, and sound waves.
The focus then shifts to the solution of engineering problems via iteration procedures, differential equations via Laplace transforms, and stress analysis problems via the finite element method. The final chapter examines control systems theory, including the design of single-input single-output (SISO) systems.

The first six chapters are appropriate for a lower level course at the sophomore level.
The remaining chapters are ideal for a course at the senior undergraduate or first-year graduate level.
Most of the chapters contain projects that require students to write a computer program in MATLAB that produces tables, graphs, or both.
Many sample MATLAB programs (scripts) in the text provide guidance on completing these projects.

Features
Presents numerical and analytical methods to support MATLAB's built-in functions
Explores the mathematical modeling of engineering problems
Covers the finite element method and mechanical controls-topics not discussed in similar texts
Includes many sample MATLAB programs
Provides end-of-chapter projects that require students to write programs that might be encountered in industry
Contains color figures that enhance the material on the finite element and CFD output

Solutions manual available upon qualifying course adoption

Contents
1 Numerical Modeling for Engineering
2 MATLAB Fundamentals
3 Matrices
4 Roots of Algebraic and Transcendental Equations
5 Numerical Integration
6 Numerical Integration of Ordinary Differential Equations
8 Curve Fitting
9 Optimization
10 Partial Differential Equations
11 Iteration Method
12 Laplace Transforms
13 An Introduction to the Finite Element Method
14 Control Systems
Appendix
Index