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Titlebook: Numerical Methods for Bifurcation Problems; Proceedings of the C T. Küpper,H. D. Mittelmann,H. Weber Conference proceedings 1984 Springer B

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International Series of Numerical Mathematicshttp://image.papertrans.cn/n/image/669051.jpg
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https://doi.org/10.1007/978-3-0348-6256-1Mathematik; Numerik; numerische Mathematik; Universität; university
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Bifurcations Arising in the Calculation of Critical Points via Homotopy Methods, e: ℝ. → ℝ. such that the zero points a., j = 1, ...,m of E := ∇e are known and are reqular points of E. One then formulates a smooth deformation map H such that H(t, x) ∈ ℝ. for (t, x) ∈ ℝ. × ℝ. and ..
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The Calculation of High Order Singularities in the Finite Taylor Problem,with small aspect ratio. A recent theoretical and experimental study was carried out by Benjamin and Mullin [1] and numerical results, which are in good agreement with those in [1], are given by Cliffe [3]. These results are summarized in figure 2.1 which gives the projection of paths of singular points on a certain parameter Space.
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,Continuation of Periodic Solutions in Ordinary Differential Equations — Numerical Algorithm and App is based on the shooting method coupled with continuation along the arc of the Solution locus. The stability of periodic solutions is determined by characteristic multipliers computed in the course of the continuation.
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On a General Technique for Finding Directions Proceeding from Bifurcation Points,own á priori. The author previously introduced a method applicable when such information is not present, or when the arcs intersect tangentially. That method is discussed here, with particular emphasis on avenues to improvement in efficiency and reliability.
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W.-J. Beynl substrates suggest that all the possible isomers are usually formed, albeit some in trace amounts (Vecera, Petranek and Gasparic, 1957a, b). The whole family of interconversions, the mechanism of which has remained obscure until recently, has become collectively known as the ..
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E. Bohlreplay strategy by providing empirical results on the performance of ., accumulating and reusing a large case library in a complex problem solving domain. The integrated learning system reduces the problem solving search effort incrementally as more episodic experience is compiled into the library of accumulated learned knowledge.
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