Spectral Methods For Numerical Differentiation And Integration

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Here we explain something about how spectral methods (Fourier methods in particular) can be used for numerical differentiation, and integration. With a bit of background we arrive at the type series used by the fast fourier transform that is used in many numerical applications of spectral methods. We then establish results about how these ideas can be used to perform spectral differentiation, and how spectral methods can be used to evaluate convolution integrals. We also prove the validity of these methods.

Thanks to Gustav Delius at the University of York for explaining these ideas to me, although I am sure any errors in this video come from my own misinterpretations.
  1. Richard Southwell
  2. Calculus
  3. Spectral Methods
  4. Numerical Methods
  5. Integration
  6. Differentiation
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Комментарии
Автор

Thank you for sharing such a valuable information.🙏

ankitsinghnegi
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Really good explained. Would it be possible to get the pdf you use in the explanation?

marcortega
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I need some help related to spectral method for nonlinear differential equations with non periodic boundary conditions... anyone knows here, so please comment

zunairashoukat