Report Number: CS-TR-77-616
Institution: Stanford University, Department of Computer Science
Title: Stability of the Fourier method
Author: Kreiss, Heinz-Otto
Author: Oliger, Joseph
Date: August 1977
Abstract: In this paper we develop a stability theory for the Fourier (or pseudo-spectral) method for linear hyperbolic and parabolic partial differential equations with variable coefficients.
http://i.stanford.edu/pub/cstr/reports/cs/tr/77/616/CS-TR-77-616.pdf