Numerical Solution of Nonlinear Equations [electronic resource] : Proceedings, Bremen 1980 / edited by Eugene L. Allgower, Klaus Glashoff, Heinz-Otto Peitgen.

A survey of homotopy methods for smooth mappings -- Discrete correction methods for operator equations -- A duffing equation with more than 20 branch points -- Einschliessungssätze für Fixpunkte -- A numerically stable update for simplicial algorithms -- Numerical integration of the Davidenko equation -- Fixpunktprinzipien und Freie Randwertaufgaben -- A derivative-free arc continuation method and a bifurcation technique -- An introduction to variable dimension algorithms for solving systems of equations -- Labelling rules and orientation: On Sperner's lemma and brouwer degree -- On the numerical solution of contact problems -- Positive and spurious solutions of nonlinear eigenvalue problems -- Change of structure and chaos for solutions of (t) = ?f(x(t?1)) -- Chaotic mappings on S1 periods one, two, three imply chaos on S1 -- An algorithm for ultrasonic tomography based on inversion of the Helmholtz equation -- On the numerical approximation of secondary bifurcation problems -- Some improvements of classical iterative methods for the solution of nonlinear equations.