Approximation of solution branches of nonlinear equations
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 16 (1982) no. 4, p. 319-349
@article{M2AN_1982__16_4_319_0,
     author = {Descloux, Jean and Rappaz, Jacques},
     title = {Approximation of solution branches of nonlinear equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {16},
     number = {4},
     year = {1982},
     pages = {319-349},
     zbl = {0505.65016},
     mrnumber = {684829},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1982__16_4_319_0}
}
Descloux, Jean; Rappaz, Jacques. Approximation of solution branches of nonlinear equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 16 (1982) no. 4, pp. 319-349. http://www.numdam.org/item/M2AN_1982__16_4_319_0/

[1] F Brezzi, J Appaz and P A Raviart, Finite Dimensional Approximation of Nonlinear Problems, Part I Branches of Nonsingular Solutions, Numer Math 36, 1980, 1-25 | MR 595803 | Zbl 0488.65021

[2] F Brezzi, J Rappaz and P A Raviart, Finite Dimensional Approximation of Nonlinear Problems, Part II Limit Points, Numer Math , 37, 1981, 1-28. | MR 615889 | Zbl 0525.65036

[3] F Brezzi, J Rappaz and P A Raviart, Finite Dimensional Approximation of Nonlinear Problems, Part III Simple Bifurcation Points, Numer Math , 38, 1981, 1-30 | MR 634749 | Zbl 0525.65037

[4] Pg Ciarlet, The Finite Element Method for Elliptic Problems, Studies in Mathe-matics and its Applications, Vol 4, North-Holland, 1978 | MR 520174 | Zbl 0383.65058

[5] D W Decker and H B Keller, Multiple Limite Point Bifurcation Report of Math Dept, California Institute of Technology, 1979

[6] J Descloux, M Luskin and J Rappaz, Approximation of the Spectrum of Closed Operators The Determination of Normal Modes of a Rotating Basin, Math Comp, 36, 1981, 137-154 | MR 595047 | Zbl 0458.65084

[7] J Descloux, N Nassie and J Rappaz, On Spectral Approximation, RAIRO Numerical Analysis, 191, 137-154 | Zbl 0393.65024

[8] J Descloux and J Rappaz, On Numerical Approximation of Solution Branches of Nonhnear Equations, Rapport, , Departement de Mathématiques, EPFL, 1981

[9] J Descloux and J Rappaz, Numerical Approximation of a Nonlinear Sturm-Liouville Problem on an Infinité Interval, to appear m the Proceedings of Equa-diff V, Teubner | Zbl 0514.65068

[10] R J Magnus, On the Local Structure of the Zero-Set of a Banach Space Valued Mapping , J Functional Analysis, 22, 1976, 58-72 | MR 418149 | Zbl 0321.47042

[11] J -C Paumier, Une methode numérique pour le calcul des points de retournement Application a un problème aux limites non-lineaire II Analyse numérique d'un problème aux limites non-lineaire, Numer Math , 37, 1981, 445-454 | MR 627116 | Zbl 0449.65025

[11] J Rappaz and G Raugel, Finite Dimensional Approximation of Bifurcation Problems at a Multiple Eigenvalue, Rapport no 71, Centre de Mathématiques appliquées, Ecole Polytechnique, Palaiseau, 1981

[13] J Rappaz and G Raugel, Approximation of Double Bifurcation Points for Nonlinear Eigenvalue Problems, MAFELAP 1981 (Ed J Whiteman), Academic Press (to appear) | Zbl 0571.65048

[14] D H Sattinger, Group Theorie Methods in Bifurcation Theory, Lecture Notes in Mathematics 762, Springer-Verlag, Berlin, 1979 | Zbl 0414.58013