University of Cambridge > Talks.cam > Applied and Computational Analysis Graduate Seminar > On the Fourier extension of non-periodic functions

On the Fourier extension of non-periodic functions

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Carola-Bibiane Schoenlieb.

Fourier series exhibit rapid converge for (smooth and) periodic functions, but this is not the case for non-periodic functions. In this talk we analyze an interesting approach to eliminate the Gibbs phenomenon. Our approach leads to exponentially accurate Fourier series for non-periodic functions with pointwise convergence everywhere, including at the boundary. The analysis shows the path of generalization towards accurate Fourier series for multivariate functions defined on circles, triangles and higher-dimensional simplices.

This talk is part of the Applied and Computational Analysis Graduate Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity