Titlebook: Numerical Solution of Nonlinear Equations; Proceedings, Bremen, Eugene L. Allgower,Klaus Glashoff,Heinz-Otto Peitg Conference proceedings 1

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Eugene L. Allgower,Klaus Glashoff,Heinz-Otto Peitg

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,Einschliessungss?tze für Fixpunkte, A simple example of a nonlinear integral equation occuring in aerodynamics illustrates in detail how easy it is to apply the monotonicity methods by using the algorithms of approximation and optimization.

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A numerically stable update for simplicial algorithms,y numerically stable techniques [11]. In the following short note, we point out that an even stabler method may be used by looking at the underdetermined linear system involved. The computational cost is less expensive than might be expected since, by the special structure of the labeling, some calc

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Numerical integration of the Davidenko equation, stable solution. The equation may be viewed as a continuous version of Haselgrove‘s [17] predictor — corrector method and is a modification of Davidenko‘s [12] equation. In order to numerically trace c(s), this modified equation may be integrated by some standard IVP - code [40]..A curve — tracing

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A derivative-free arc continuation method and a bifurcation technique,oth, are given. The method uses a least-change secant update for H‘, adaptive controlled predictor stepsize, and Powell‘s indexing procedure to preserve linear independence in the updates. Considerable savings in numbers of theoretical function calls are observed over high order methods requiring ex

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,Labelling rules and orientation: On Sperner’s lemma and brouwer degree,ional set to the set of integers {1, …, n+1}. The second one is a labelling to the set {±i|i = 1, …, n}. The main purpose of the paper is to compare the two rules. We define the orientation of a completely labelled simplex and give some generalizations of the lemma of Sperner and the related lemma o

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On the numerical solution of contact problems,aints. A modified block-relaxation method and a preconditioned conjugate gradient algorithm are presented which generalize known methods for bound-constraints to more general restrictions. Global convergence proofs are given and an application to the contact problem for two membranes.

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