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Chapter 3: Numerical Analysis Methods

Chapter 3: Numerical Analysis Methods

pp. 52-83

Authors

, Clemson University, South Carolina
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Summary

In this chapter, we discuss several topics of numerical analysis. The topics include numerical interpolation, differentiation, integration, and solution of linear systems of equations. These numerical techniques are essential in the finite element method. MATLAB functions and subroutines performing these numerical calculations in the implementation of FE codes for engineering analysis are presented. While numerical analysis is a broad area, this chapter focuses on the methods and techniques that are used in the development and solution of finite element formulations and models. It should be noted that, while MATLAB has many built-in functions for performing numerical analysis tasks, this book is intended to reveal the underlying theories and techniques of the numerical methods. Therefore, we explain various numerical methods from the basics and create the MATLAB functions from scratch.

Keywords

  • numerical interpolation
  • numerical differentiation
  • numerical integration
  • linear system of equations

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