Numerical Solution of Nonlinear Equations: Proceedings, Bremen, 1980

ISBN-13: 9783540108719 / Angielski / Miękka / 1981 / 442 str.

E. L. Allgwer; K. Glashoff; H. -O Peitgen

Spis treści

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.