CERTIFICATE IN COMPUTER-BASED NUMERICAL METHODS

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CERTIFICATE IN COMPUTER-BASED NUMERICAL METHODS -(C1158)

CERTIFICATE IN COMPUTER-BASED NUMERICAL METHODS


COMPUTER-BASED NUMERICAL METHODS

 

Course Syllabus

 

  • Series expansions: from calculus to computation
  • Integrals as sums and derivatives as differences
  • Interpolation, splines, and a second look at numerical calculus
  • Numerical methods for ODE, initial-value problems
  • Root finding, Newton's method, boundary-value problems
  • Fourier transform, Fourier series, Shannon sampling theory
  • Bandlimited interpolation, spectral methods
  • Least-squares approximation
  • Principal component analysis

 


 


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