Math 174
Numerical Methods in Science and Engineering
Fall 2006

Matlab Examples

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  • Floating-point numbers and arithmetic:   machine epsilon test
  • Floating-point errors and error propagation:   quadratic formula
  • Nonlinear Equations:
  • Linear Systems of Equations:  
    • Naive Gaussian Elimination (without partial pivoting): gauss_elim.m
  • Polynomial Interpolation and Curve Fitting:  
  • Piecewise Polynomial Interpolation (Splines):  
  • Numerical Differentiation and Integration:  
  • Initial Value Problems:  
  • Least-squares approximation:  
  • Trigonometric interpolation, Fast Fourier Transform