Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques

Catherine Bolley; Michel Crouzeix

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1978)

  • Volume: 12, Issue: 3, page 237-245
  • ISSN: 0764-583X

How to cite

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Bolley, Catherine, and Crouzeix, Michel. "Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 12.3 (1978): 237-245. <http://eudml.org/doc/193321>.

@article{Bolley1978,
author = {Bolley, Catherine, Crouzeix, Michel},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Method of Lines; Heat Equation},
language = {fre},
number = {3},
pages = {237-245},
publisher = {Dunod},
title = {Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques},
url = {http://eudml.org/doc/193321},
volume = {12},
year = {1978},
}

TY - JOUR
AU - Bolley, Catherine
AU - Crouzeix, Michel
TI - Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1978
PB - Dunod
VL - 12
IS - 3
SP - 237
EP - 245
LA - fre
KW - Method of Lines; Heat Equation
UR - http://eudml.org/doc/193321
ER -

References

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  1. 1. S. BERNSTEIN, Sur les fonctions absolument monotones, Acta Mathematica, vol. 51 1928, p. 1-66. Zbl55.0142.07JFM55.0142.07
  2. 2. C. BOLLEY, Thèse de 3e Cycle, Rennes, 1977 . 
  3. 3. M. CROUZEIX, Thèse, Paris, 1975 . 
  4. 4. A. HARTEN, J. M. HYMAN et P. D. LAX, On Finite Différence Approximations and Entropy Conditions for Shocks, Comm. Pure Appl. Math., vol. 29, 1976, p. 297-322. Zbl0351.76070MR413526
  5. 5. T. KATO, Perturbation Theory for Linear Operators, Springer Verlag, Berlin-Heidelberg-New York. Zbl0435.47001
  6. 6. P. D. LAX, On the Stability of Difference Approximations to solutions of Hyperbolic Equations with Variable Coefficients, Comm. Pure Appl. Math., vol. 14, 1961, p. 497-520. Zbl0102.11701MR145686
  7. 7. J. VON NEUMANN, Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachrichten, vol. 4, 1951, p. 258-281. Zbl0042.12301MR43386
  8. 8. R. S. VARGA, Matric Itérative Analysis, Prentice Hall, 1962 . Zbl0133.08602MR158502
  9. 9. M. ZLAMAL, Finite Element Methods in Heat Conduction Problems, Proceedings of the Brunel Conference of Finite Eléments, 1975. Zbl0348.65096MR451785

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