Analysis of the Du Fort-Frankel method for linear systems

Daniele Funaro

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1985)

  • Volume: 19, Issue: 3, page 429-441
  • ISSN: 0764-583X

How to cite

top

Funaro, Daniele. "Analysis of the Du Fort-Frankel method for linear systems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 19.3 (1985): 429-441. <http://eudml.org/doc/193454>.

@article{Funaro1985,
author = {Funaro, Daniele},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {stability of the iteration; acceleration by preconditioning; DuFort-Frankel three-level scheme; iteration parameters; convergence; error estimate; spectral radius},
language = {eng},
number = {3},
pages = {429-441},
publisher = {Dunod},
title = {Analysis of the Du Fort-Frankel method for linear systems},
url = {http://eudml.org/doc/193454},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Funaro, Daniele
TI - Analysis of the Du Fort-Frankel method for linear systems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1985
PB - Dunod
VL - 19
IS - 3
SP - 429
EP - 441
LA - eng
KW - stability of the iteration; acceleration by preconditioning; DuFort-Frankel three-level scheme; iteration parameters; convergence; error estimate; spectral radius
UR - http://eudml.org/doc/193454
ER -

References

top
  1. [1] C. CANUTO and A. QUARTERONI, Preconditioned Minimal Residual Methods for Chebyshev Spectral Calculations, ICASE Report 83-28. Zbl0615.65118
  2. [2] D. GOTTLIEB and B. GUSTAFSSON, Generalized Du Fort-Frankel Methods for Parabolic Initial Boundary Value Problems, SIAM J. Numer. Anal., 13 (1976), pp. 129-144. Zbl0344.35048MR405876
  3. [3] D. GOTTLIEB and L. LUSTMAN, The Du Fort-Frankel Chebyshev Method for Parabolic Initial Boundary Value Problems, ICASE Report No. 83-84, December 4, 1980. Zbl0511.76003
  4. [4] D. GOTTLIEB and S. A. ORSZAG, Numerical Analysis of Spectral Methods-Theory and Applications, Régional Conference Series in Applied Mathematics, SIAM (Philadelphia) (1977). Zbl0412.65058MR520152
  5. [5] E. ISAACSON and H. B. KELLER, Analysis of Numerical Methods, John Wiley & Sons, New York (1966). Zbl0168.13101MR201039
  6. [6] S. A. ORSZAG, Spectral Methods for Problems in Complex Geometries, J. Comput. Phys., 37 (1980), pp. 70-92. Zbl0476.65078MR584322
  7. [7] RICHTMYER and MORTON, Difference Methods for Initial Value Problems, John Wiley & Sons, New York (1967). Zbl0155.47502

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.