Solutions numériques de problèmes de bifurcation

Catherine Bolley

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1980)

  • Volume: 14, Issue: 2, page 127-147
  • ISSN: 0764-583X

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Bolley, Catherine. "Solutions numériques de problèmes de bifurcation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 14.2 (1980): 127-147. <http://eudml.org/doc/193354>.

@article{Bolley1980,
author = {Bolley, Catherine},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {nonlinear elliptic problem; bifurcation problems; stability of solutions; implicit schemes},
language = {fre},
number = {2},
pages = {127-147},
publisher = {Dunod},
title = {Solutions numériques de problèmes de bifurcation},
url = {http://eudml.org/doc/193354},
volume = {14},
year = {1980},
}

TY - JOUR
AU - Bolley, Catherine
TI - Solutions numériques de problèmes de bifurcation
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1980
PB - Dunod
VL - 14
IS - 2
SP - 127
EP - 147
LA - fre
KW - nonlinear elliptic problem; bifurcation problems; stability of solutions; implicit schemes
UR - http://eudml.org/doc/193354
ER -

References

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  1. 1. C. BOLLEY, Etude numérique d'un problème de bifurcation, Thèse de 3e cycle, Rennes, 1977. 
  2. 2. P. GRISVARD, Behavior of the Solutions of an Elliptic Boundary Value Problem in a Polygonal or Polyhedral Domain, Num. Sol of Partial Diff. Eq. III, 1976. Zbl0361.35022MR466912
  3. 3. J. KITCHEN, Concerning the Convergence of Iterates to Fixed Points, Studia Math.,Vol. 27, 1966, p. 247-249. Zbl0143.16601MR200759
  4. 4. P. H. RABINOWITZ, On Bifurcation From Infinity, J. of Diff. Eq., vol. 14, 1973, p. 462-475. Zbl0272.35017MR328705
  5. 5. P. H. RABINOWITZ, Some Global Results for Nonlinear Eigenvalue Problems, J. Funct.Anal., vol. 7, 1971, p. 487-513. Zbl0212.16504MR301587
  6. 6. D. SATTINGER, Stability of Bifurcating Solutions by Leray-Schauder Degree, Arch.R.M.A.-43, 1971, p. 154-166. Zbl0232.34027MR336485
  7. 7. D. SATTINGER, Monotone Methods in Nonlinear Elliptic and Parabolic Boundary Value Problems, Indiana Univ. Math. J., vol. 21, n° 11, 1972. Zbl0223.35038MR299921
  8. 8. D. SATTINGER, Topics in Stability and Bifurcation Theory, Lecture Notes, n° 309Spinger-Verlag. Zbl0248.35003MR463624
  9. 9. I. STAKGOLD et L. E. PAYNE, Nonlinear Problems in Nuclear Reactor Analysis, Lecture Notes, n° 322, Springer-Verlag. Zbl0259.35025

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