Numerical solution of nonlinear equations : proceedings, Bremen, 1980

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Numerical solution of nonlinear equations : proceedings, Bremen, 1980

edited by E.L. Allgower, K. Glashoff and H.-O. Peitgen

（Lecture notes in mathematics, 878）

Springer-Verlag, 1981

  • : Berlin
  • : New York

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Conference held July 21-25, 1980, under the sponsorship of the Forschungsschwerpunkt "Dynamische Systeme", Universität Bremen, and the W. Blaschke Gesellschaft, Hamburg

Includes bibliographies

Description and Table of Contents

Table of Contents

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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