External approximation of bifurcation problems

Ewa Demirska

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1986)

  • Volume: 20, Issue: 1, page 25-46
  • ISSN: 0764-583X

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Demirska, Ewa. "External approximation of bifurcation problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 20.1 (1986): 25-46. <http://eudml.org/doc/193468>.

@article{Demirska1986,
author = {Demirska, Ewa},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {bifurcation problems; external approximation; Banach spaces; critical point},
language = {eng},
number = {1},
pages = {25-46},
publisher = {Dunod},
title = {External approximation of bifurcation problems},
url = {http://eudml.org/doc/193468},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Demirska, Ewa
TI - External approximation of bifurcation problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1986
PB - Dunod
VL - 20
IS - 1
SP - 25
EP - 46
LA - eng
KW - bifurcation problems; external approximation; Banach spaces; critical point
UR - http://eudml.org/doc/193468
ER -

References

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  1. [1] J. P. UBIN, Approximation of Elliptic Boundary Value Problems, John Wiley Sons, Inc. 1972. Zbl0248.65063
  2. [2] F. CHATELIN, Convergence of Approximation Methods to Compute Eigenelements SIAM JNA 10 (1973) 939-948. Zbl0266.65048MR349004
  3. [3] E. DEMIRSKA, Aproksymacja rozwiazan równan funkcyjnych nieliniowich, Ph. D's thesis, Politechnika Warszawska, 1984. 
  4. [4] J. DESCLOUX, N. NASSIF, J. RAPPAZ, On Spectral approximation, R.A.I.R.O. Numer. Anal. 12 (1978) 97-119. Zbl0393.65024MR483400
  5. [5] J. DESCLOUX, J. RAPPAZ, On the Numerical Approximation of Solution Branches of Nonlinear Equations, Rapport, Département de Mathématiques, EPFL 1981. Zbl0505.65016MR684829
  6. [6] J. DESCLOUX, J. RAPPAZ, Approximation of Solution Branches of Nonlinear Equations, R.A.I.R.O. Numer. Anal. 16 (1982) 319-349. Zbl0505.65016MR684829
  7. [7] R. MOORE, A. SPENCE, The Convergence of Operator Approximation at Turning Points, IMA JNA 1 (1981) 23-38. Zbl0473.65032MR607244
  8. [8] T. REGINSKA, External Approximation of Eigenvalue Problems in Banach Spaces, R.A.I.R.O. Numer. Anal. 18 (1984) 161-174. Zbl0554.65043MR743883
  9. [9] T. REGINSKA, External Approximation of Eigenproblems for Ordinary Differential Operators, Preprint 292, Institute of Mathematics, Polish Academy of Science, 1984. Zbl0554.65043
  10. [10] T. REGINSKA, Superconvergence of Eigenvalue External Approximation for Ordinary Differential Operators, submitted for publication. Zbl0619.65076
  11. [11] R. TEMAM, Numerical Analysis, Dordrecht 1973, D. Reidel, Publ. Co. Zbl0261.65001MR347099
  12. [12] R. WEISS, Bifurcation in Difference Approximation to Two-Point Boundary Value Problems, Math. Comp. 29 (1975) 746-760. Zbl0327.65063MR383763

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