UW AMath AMath 590, Autumn Quarter, 2013

Approximation Theory and Spectral Methods

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Software for the course

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Some other references

Sample codesΒΆ

See also Homework format for some other examples.

  • spectral1.ipynb shows an IPython notebook illustrating the use of Chebfun for spectral methods, following the examples of Chapter 21 of ATAP.
  • Fourier-Spectral.ipynb shows an IPython notebook illustrating Fourier spectral methods in Matlab, following SMM Chapter 3, and also Python versions.
  • Spectral-Advection.ipynb shows an IPython notebook illustrating solving the advection equation with a Chebyshev spectral method.
  • Spectral-Heat.ipynb shows an IPython notebook illustrating solving the heat equation with a Chebyshev spectral method.
  • Spectral-eigenvalues.ipynb shows an IPython notebook illustrating the solution of eigenvalue problems using code from Chapter 9 of SMM.