# Numerical and Analytical Methods with MATLAB

William Bober, Chi-Tay Tsai, Oren Masory

August 11, 2009 by CRC Press
Textbook - 472 Pages - 267 B/W Illustrations
ISBN 9781420093568 - CAT# 93568
Series: Computational Mechanics and Applied Analysis

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### 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

### Summary

Numerical and Analytical Methods with MATLAB® 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. These built-in functions are essentially black boxes to students. By combining MATLAB with basic numerical and analytical techniques, the mystery of what these black boxes might contain is somewhat alleviated.

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.

Two Courses in One Textbook
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.

#### Instructors

We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption.