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

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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

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  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

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