29 citations · 29 across the 3 of their papers we have counts for
3 papers
Solution of Wiener-Hopf and Fredholm integral equations by fast Hilbert and Fourier transforms
Guido Germano, Carolyn E Phelan, Daniele Marazzina +1
We present numerical methods based on the fast Fourier transform (FFT) to solve convolution integral equations on a semi-infinite interval (Wiener-Hopf equation) or on a finite int…
Fluctuation identities with continuous monitoring and their application to price barrier options
Carolyn E. Phelan, Daniele Marazzina, Gianluca Fusai +1
We present a numerical scheme to calculate fluctuation identities for exponential Lévy processes in the continuous monitoring case. This includes the Spitzer identities for touchin…
Hilbert transform, spectral filters and option pricing
Carolyn E. Phelan, Daniele Marazzina, Gianluca Fusai +1
We show how spectral filters can improve the convergence of numerical schemes which use discrete Hilbert transforms based on a sinc function expansion, and thus ultimately on the f…