In the present paper we generalize Eckhoff's method, i.e., the method for approximating the locations of discontinuities and the associated jumps of a piecewise smooth function by means of its Fourier ...

Sketch the graph of a function that has a removable discontinuity at x = 2 x = 2 and an infinite discontinuity at x = 7, x = 7, but is continuous everywhere else.

The algorithm EULER-GPS makes it possible to accurately invert transforms of functions with discontinuities at arbitrary locations. The effectiveness of the algorithm is verified through numerical ...