On a Fourier Method for the Integration of Hyperbolic Equations
Bengt Fornberg · SIAM Journal on Numerical Analysis · 1975
In this paper we consider high order difference approximations of ${\partial / {\partial x}}$ and especially one method based on the fast Fourier transform. It is used to approximate space derivatives for hyperbolic partial differential equations, and its accuracy, stability and speed on a computer are discussed.