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# NUMERICAL AND ANALYTICAL METHODS WITH MATLAB®

Product Details

Synopsis

Product Identifiers
ISBN-10
1420093568
ISBN-13
9781420093568

Key Details
Author
Chi-Tay Tsai, Oren Masory, William Bober
Number Of Pages
472 pages
Series
Computational Mechanics and Applied Analysis
Format
EBOOK
Publication Date
2009-08-11
Language
English
Publisher
CRC Press LLC
Publication Year
2009

2009
Illustrated
Yes

Dimensions
Weight
28 Oz
Height
1.4 In.
Width
6.2 In.
Length
9.2 In.

Target Audience
Group
College Audience

Classification Method
LCCN
2009-018493
LC Classification Number
QA297.B565 2009
Dewey Decimal
518.0285
Dewey Edition
22

Table Of Content
Numerical Modeling for Engineering Computer Usage in Engineering The Mathematical Model Computer Programming Preparing a Computer Program Recommended Procedures for Writing a Program Building Blocks in Writing a Program MATLAB Fundamentals Introduction Constructing a Program in MATLAB The MATLAB Program Program Examples Debugging a Program 3-D and Contour Plots Matrices Matrix Operations System of Linear Equations Gauss Elimination The Gauss-Jordan Method Number of Solutions Inverse Matrix The Eigenvalue Problem Roots of Algebraic and Transcendental Equations The Search Method Bisection Method Newton-Raphson Method The fzero Function Numerical Integration Numerical Integration and Simpson's Rule Improper Integrals MATLAB's Quad Function MATLAB's DBLQUAD Function Numerical Integration of Ordinary Differential Equations The Initial Value Problem The Fourth-Order Runge-Kutta Method System of Two First-Order Equations A Single Second-Order Equation MATLAB's ODE Function Ordinary Differential Equations That Are Not Initial Value Problems Solution of a Tri-Diagonal System of Linear Equations Difference Formulas Deflection of a Beam Simulink Introduction Creating a Model in Simulink Typical Building Blocks in Constructing a Model Constructing and Running the Model Constructing a Subsystem Using the mux and fcn Blocks The Relay Block The Switch Block Trigonometric Function Blocks Curve Fitting Curve-Fitting Objective Method of Least Squares Curve Fitting with the Exponential Function MATLAB's Curve-Fitting Function Cubic Splines The Function Interp1 for Cubic Spline Curve Fitting Curve Fitting with Fourier Series Optimization Introduction Unconstrained Optimization Problems Method of Steepest Descent Optimization with Constraints MATLAB's Optimization Function Partial Differential Equations The Classification of Partial Differential Equations Solution by Separation of Variables Unsteady Heat Transfer in 2-D Perturbation Theory and Sound Waves Review of Finite Difference Formulas Example of Applying Finite Difference Methods to Partial Differential Equations Iteration Method Iteration in Pipe Flow Analysis The Gauss-Seidel Method The Hardy-Cross Method Laplace Transforms Laplace Transform and Inverse Transform Transforms of Derivatives Ordinary Differential Equations, Initial Value Problem A Shifting Theorem The Unit Step Function Laplace Transform of the Unit Step Function Convolution Laplace Transforms Applied to Partial Differential Equations Laplace Transforms and Complex Variables An Introduction to the Finite Element Method Finite Element Method for Stress Analysis Structural Mechanics Plane Stress Analysis The Shape Function for a Linear Triangle Element Finite Element Analysis Using MATLAB's PDE Toolbox Structural Mechanics Plane Strain Analysis Model Analysis of 2-D Structures Finite Element Analysis for Heat Transfer Control Systems Introduction Representation of Systems in MATLAB Closed-Loop Systems MATLAB Tools for the Performance Analysis of Closed-Loop Systems MATLAB's SISOtool Application of Simulink in Controls and Dynamic Systems Simulink's Data Acquisition Toolbox Appendices Index Exercises, Projects, and References appear at the end of most chapters.

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