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Titlebook: Bifurcation Problems and their Numerical Solution; Workshop on Bifurcat H. D. Mittelmann,H. Weber Book 1980 Springer Basel AG 1980 Mathemat

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期刊全称Bifurcation Problems and their Numerical Solution
期刊简称Workshop on Bifurcat
影响因子2023H. D. Mittelmann,H. Weber
视频video
学科分类International Series of Numerical Mathematics
图书封面Titlebook: Bifurcation Problems and their Numerical Solution; Workshop on Bifurcat H. D. Mittelmann,H. Weber Book 1980 Springer Basel AG 1980 Mathemat
Pindex Book 1980
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Ober Ein Rayleigh-Ritz-Verfahren zur Bestimmung Kritischer Werte,e results are applied to a nonlinear ordinary eigenvalue problem where it is shown that the lowest point in the continuous spectrum of the associated linearized operator is a bifurcation point of infinite multiplicity.
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Pointwise Error Bounds for the Solutions of Nonlinear Boundary Value Problems,g linearized problem. This method is particularly convenient for such problems where it is a priori known that Range-Domain Implications are easy to obtain. In fact this often happens in the case of bifurcation problems where properties of the linearization in the zero solution remain valid for the linearization in nontrivial solutions.
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On Discretizations of Bifurcation Problems,he theory is developed in an abstract framework in order to show the general applicability of the results. In the applications the emphasis is on finite difference methods from which also the illustrative and numerical examples are drawn
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,Eine Numerische Behandlung von Primären Bifurkationszweigen,ollectively compact family. By Newton-linearization of the approximating problem and approximation of the inverse of the F-derivative we get a class of Newton-like methods as a corrector component of the NAEV-method.
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