Numerical Methods for Bifurcation Problems — A Survey and Classification
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[1] G. Moore,et al. The Calculation of Turning Points of Nonlinear Equations , 1980 .
[2] J. Leray,et al. Topologie et équations fonctionnelles , 1934 .
[3] J. Schwartz. Compact analytic mappings of B-spaces and a theorem of Jane Cronin , 1963 .
[4] M. Kubíek. Evaluation of branching points for nonlinear boundary-value problems based on the GPM technique , 1975 .
[5] Approximation of operators with reproducing nonlinearities , 1976 .
[6] On a problem of forced nonlinear oscillations. numerical example of bifurcation into an invariant torus , 1978 .
[7] J. Abbott. An e cient algorithm for the determination of certain bifurcation points , 1978 .
[8] M. Yamaguti,et al. On numerical deformation of singularities in nonlinear elasticity , 1979 .
[9] Numerical Bifurcation at Simple Eigenvalues , 1979 .
[10] R. Meyer-Spasche. A note on the approximation of mildly nonlinear Dirichlet problems by finite differences , 1979 .
[11] An Iterative Finite Element Scheme for Bifurcation Analysis of Semi-Linear Elliptic Equations , 1976 .
[12] Rüdiger Seydel. Programme zur Numerischen Behandlung von Verzweigungsproblemen bei Nichtlinearen Gleichungen und Differentialgleichungen , 1980 .
[13] Kurt Georg. An Iteration Method for Solving Nonlinear Eigenvalue Problems , 1979 .
[14] R. B. Simpson. A Method for the Numerical Determination of Bifurcation States of Nonlinear Systems of Equations , 1975 .
[15] S. S. Antman,et al. Bifurcation theory and nonlinear eigenvalue problems, 1967 , 1968 .
[16] Jürgen Scheurle. Ein selektives Projektions-Iterationsverfahren und Anwendungen auf Verzweigungsprobleme , 1977 .
[17] Evaluation of limit and bifurcation points for algebraic equations and nonlinear boundary-value problems , 1979 .
[18] Lothar Collatz,et al. Numerische Behandlung von Differentialgleichungen , 1948 .
[19] W. Langford. Numerical solution of bifurcation problems for ordinary differential equations , 1977 .
[20] G. Sell,et al. The Hopf Bifurcation and Its Applications , 1976 .
[21] G. H. Pimbley. On eigenfunction branches of nonlinear operators, and their bifurcations , 1969 .
[22] G. Reddien. On Newton’s Method for Singular Problems , 1978 .
[23] D. Westreich,et al. Applications of Galerkin's method to bifurcation and two-point boundary value problems☆ , 1979 .
[24] The Tikhonov regularization of a problem on bifurcation points of nonlinear operators , 1976 .
[25] Michael G. Crandall,et al. Bifurcation, perturbation of simple eigenvalues, itand linearized stability , 1973 .
[26] R. Seydel. Numerical computation of branch points in ordinary differential equations , 1979 .
[27] H. Keller,et al. Iterations, perturbations and multiplicities for nonlinear bifurcation problems , 1972 .
[28] M. Sermange,et al. Une méthode numérique en bifurcation—application à un problème à frontière libre de la physique des plasmas , 1979 .
[29] Kurt Georg,et al. On the convergence of an inverse iteration method for nonlinear elliptic eigenvalue problems , 1979 .
[30] H. Keller,et al. Perturbed bifurcation theory , 1973 .
[31] H. Weber,et al. Numerical solution of Hopf bifurcation problems , 1980 .
[32] Klaus Kirchgässner,et al. Constructive methods for nonlinear boundary value problems and nonlinear oscillations : conference at the Oberwolfach Mathematical Research Institute, Black Forest, November 19-25, 1978 , 1979 .
[33] P. Anselone,et al. AN EXTENSION OF THE NEWTON-KANTOROVIC METHOD FOR SOLVING NONLINEAR EQUATIONS, , 1966 .
[34] D. Decker,et al. Topics in bifurcation theory , 1978 .
[35] R. Meyer-Spasche. Numerical Treatment of Dirichlet Problems with Several Solutions , 1976 .
[36] E. Bohl. On two boundary value problems in nonlinear elasticity from a numerical viewpoint , 1978 .
[37] E. Bohl,et al. On the bifurcation diagram of discrete analogues for ordinary bifurcation problems , 1979 .
[38] H. Peitgen,et al. Functional Differential Equations and Approximation of Fixed Points , 1979 .
[39] M. Crandall,et al. Bifurcation from simple eigenvalues , 1971 .
[40] M. M. Vaĭnberg,et al. THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT , 1962 .
[41] G. Reddien. Newton's method and high order singularities , 1979 .
[42] Willi Törnig,et al. Numerical Treatment of Differential Equations in Applications , 1978 .
[43] F. Drexler. Eine Methode zur berechnung sämtlicher Lösungen von Polynomgleichungssystemen , 1977 .
[44] H. Amann. Lusternik-Schnirelman theory and non-linear eigenvalue problems , 1972 .
[45] E. Bohl. Chord techniques and Newton's method for discrete bifurcation problems , 1980 .
[46] A. Feinstein,et al. Variational Methods for the Study of Nonlinear Operators , 1966 .
[47] H. B. Keller,et al. Constructive methods for bifurcation and nonlinear eigenvalue problems , 1979 .
[48] Paul H. Rabinowitz,et al. Some global results for nonlinear eigenvalue problems , 1971 .
[49] G. Moore,et al. The numerical treatment of non-trivial bifurcation points , 1980 .
[50] W. Langford. A Shooting Algorithm for the Best Least Squares Solution of Two-Point Boundary Value Problems , 1977 .
[51] H. Weber. Numerische Behandlung von Verzweigungsproblemen bei gewöhnlichen Differentialgleichungen , 1979 .
[52] R. Seydel. Numerical computation of branch points in nonlinear equations , 1979 .
[53] Alexander Kratochvíl,et al. Gradient methods for the construction of Ljusternik-Schnirelmann critical values , 1980 .
[55] La méthode de Kikuchi appliquée aux équations de von Karman , 1979 .
[56] M. Prüfer,et al. The Leray-Schauder continuation method is a constructive element in the numerical study of nonlinear eigenvalue and bifurcation problems , 1979 .
[57] R. Seydel. Numerical Computation of Primary Bifurcation Points in Ordinary Differential Equations , 1979 .
[58] H. Weber. Shooting Methods for Bifurcation Problems in Ordinary Differential Equations , 1980 .
[59] H. Weber. Numerische Behandlung von Verzweigungsproblemen bei Gewöhnlichen Randwertaufgaben , 1979 .
[60] The Numerical Solution of a Bifurcation Problem , 1977 .
[61] J. Schröder. Störungsrechnung bei Eigenwert- und Verzweigungsaufgaben , 1957 .
[62] W. Rheinboldt. Numerical methods for a class of nite dimensional bifur-cation problems , 1978 .
[63] E. Allgower,et al. Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations , 1980 .
[64] Theorie der Lösungsverzweigung bei nichtlinearen Gleichungen , 1973 .
[65] D. Sattinger. Topics in stability and bifurcation theory , 1973 .
[66] F. Kikuchi. Finite element approximations to bifurcation problems of turning point type , 1979 .
[67] David H. Sattinger,et al. Group theoretic methods in bifurcation theory , 1979 .
[68] R. Weiss. Bifurcation in difference approximations to two-point boundary value problems , 1975 .
[69] H. Voss,et al. The dependence of critical parameter bounds on the monotonicity of a Newton sequence , 1979 .
[70] Y. M. Chen,et al. An Iteration Method for Solving Nonlinear Eigenvalue Problems , 1975 .
[71] M. A. Krasnoselʹskii. Topological methods in the theory of nonlinear integral equations , 1968 .
[72] J. Sprekels. Exact bounds for the solution branches of nonlinear eigenvalue problems , 1980 .
[73] V. I. Iudovich. The onset of auto-oscillations in a fluid , 1971 .
[74] J. Scheurle. Selective iteration and applications , 1977 .
[75] I. Stakgold,et al. Branching of Solutions of Nonlinear Equations , 1971 .
[76] R. Glowinski,et al. Computing Methods in Applied Sciences and Engineering , 1974 .