Stabilité et convergence des méthodes spectrales polynômiales. Application à l'équation d'advection

B. Mercier

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1982)

  • Volume: 16, Issue: 1, page 67-100
  • ISSN: 0764-583X

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Mercier, B.. "Stabilité et convergence des méthodes spectrales polynômiales. Application à l'équation d'advection." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 16.1 (1982): 67-100. <http://eudml.org/doc/193392>.

@article{Mercier1982,
author = {Mercier, B.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {linear evolution equations; hyperbolic type; semidiscretization; stability; convergence; Galerkin method; Tau method; least square method; Crank-Nicholson scheme; fast Fourier transform; spectral methods},
language = {fre},
number = {1},
pages = {67-100},
publisher = {Dunod},
title = {Stabilité et convergence des méthodes spectrales polynômiales. Application à l'équation d'advection},
url = {http://eudml.org/doc/193392},
volume = {16},
year = {1982},
}

TY - JOUR
AU - Mercier, B.
TI - Stabilité et convergence des méthodes spectrales polynômiales. Application à l'équation d'advection
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1982
PB - Dunod
VL - 16
IS - 1
SP - 67
EP - 100
LA - fre
KW - linear evolution equations; hyperbolic type; semidiscretization; stability; convergence; Galerkin method; Tau method; least square method; Crank-Nicholson scheme; fast Fourier transform; spectral methods
UR - http://eudml.org/doc/193392
ER -

References

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  1. 1 D GOTTLIEB, S. A. ORSZAG, Numerical Analysis of Spectral methods, SIAM F Regional conferences # 26, 1977 Zbl0412.65058
  2. 2 P J LAURENT, Approximation et Optimisation, Hermann, Paris, 1972 Zbl0238.90058MR467080
  3. 3 P J DAVIS, P RABINOWITZ, Methods of Numerical Integration, Academic Press, 1975 Zbl0304.65016MR760629
  4. 4 C CANUTO, P QUARTERONI, à paraître 
  5. 5 J D LAMBERT, Computational Methods in Ordinary Differential Equations, John Wiley & Sons, New York, 1973 Zbl0258.65069MR423815
  6. 6 L AUSLANDER, R TOLIMIERI, Is Computing with the finite Fourier Transform pure or applied Mathematics ? Bull (New Series) AMS, 1,6 (1979) 847-898 Zbl0475.42014MR546312
  7. 7 R GLOWINSKI, J L LIONS, R TREMOLIERES, Analyse Numérique des Inéquations VariationneIles, Dunod, 1976 Zbl0358.65091

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