The pseudospectral method : Comparisons with finite differences for the elastic wave equation

  title={The pseudospectral method : Comparisons with finite differences for the elastic wave equation},
  author={Bengt Fornberg},
The pseudospectral (or Fourier) method has been used recently by several investigators for forward seismic modeling. The method is introduced here in two different ways: as a limit of finite differences of increasing orders, and by trigonometric interpolation. An argument based on spectral analysis of a model equation shows that the pseudospectral method (for the accuracies and integration times typical of forward elastic seismic modeling) may require, in each space dimension, as little as a… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 46 extracted citations


Publications referenced by this paper.
Showing 1-8 of 8 references

A nonrefleeting boundary condition for discrete acoustic and elastic wave equations: Geophysics

  • C. Cerjan, D. Kosloff, R. Kosloff, M. Reshef
  • 1985
Highly Influential
4 Excerpts

Forward modeling by a Fourier method: Geophysics

  • D. Kosloff, E. Baysal
  • 1982
Highly Influential
4 Excerpts

Information content in spectral calculations

  • D. Gottlieb, S. Abarbanel
  • Inst. Comp. Appl. in Sci. Eng. rep
  • 1985

A note on the solution of the wave equation with piecewise smooth coefficients

  • D. L. Brown
  • Math Comp.,
  • 1984

Numerical analysis of spectral methods. Theory and application: Sot

  • D. Gottlieb, S. A. Orszag
  • Industr. Appl. Math. Monograph
  • 1977
1 Excerpt

On a Fourier method for the integration of hyperbolic equations: Sot

  • B. Fornberg
  • Industr. Appl. Math., J. Numer. Anal.,
  • 1975
1 Excerpt

On the construction and comparison of difference schemes: Sot

  • W G.
  • Stud. Appl. Math.,
  • 1968

Similar Papers

Loading similar papers…