@TechReport{cormen:fft-tr,
  author = {Thomas H. Cormen and David M. Nicol},
  title = {Performing Out-of-Core {FFTs} on Parallel Disk Systems},
  year = {1996},
  number = {PCS-TR96-294},
  institution = {Dept. of Computer Science, Dartmouth College},
  copyright = {the authors},
  later = {cormen:fft},
  URL = {https://digitalcommons.dartmouth.edu/cs_tr/136/},
  keywords = {parallel I/O, out of core, scientific computing, FFT, pario-bib},
  abstract = {The Fast Fourier Transform (FFT) plays a key role in many areas
  of computational science and engineering. Although most one-dimensional FFT
  problems can be solved entirely in main memory, some important classes of
  applications require out-of-core techniques. For these, use of parallel I/O
  systems can improve performance considerably. This paper shows how to perform
  one-dimensional FFTs using a parallel disk system with independent disk
  accesses. We present both analytical and experimental results for performing
  out-of-core FFTs in two ways: using traditional virtual memory with demand
  paging, and using a provably asymptotically optimal algorithm for the
  Parallel Disk Model (PDM) of Vitter and Shriver. When run on a DEC 2100
  server with a large memory and eight parallel disks, the optimal algorithm
  for the PDM runs up to 144.7 times faster than in-core methods under demand
  paging. Moreover, even including I/O costs, the normalized times for the
  optimal PDM algorithm are competitive, or better than, those for in-core
  methods even when they run entirely in memory.}
}