In less than 100 seconds, Carola-Bibiane Schönlieb of the University of Cambridge in the UK provides a basic definition of a Fourier transform. She explains how this mathematical tool was introduced ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering.

Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation J. H. Bramble and S. R. Hilbert SIAM Journal on Numerical Analysis , pp. 112-124 (13 ...