Numerical Solution of Nonlinear Equations

Proceedings, Bremen, 1980

By: E. L. Allgwer (Editor), K. Glashoff (Editor), H. -O Peitgen (Editor)

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Paperback | 1 October 1981

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456 Pages

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23.39 x 15.6 x 2.34

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A survey of homotopy methods for smooth mappings.- Discrete correction methods for operator equations.- A duffing equation with more than 20 branch points.- Einschliessungssatze fur 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.

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