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Titlebook: Numerical Treatment of Differential Equations in Applications; Proceedings, Oberwol Rainer Ansorge,Willi Törnig Conference proceedings 1978

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楼主: Flippant
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0075-8434 Overview: 978-3-540-08940-7978-3-540-35715-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
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,A revised mesh refinement strategy for newton’s method applied to nonlinear two-point boundary valudary value problems. The process represents a significant improvement on an earlier approach both in its general applicability and in its numerical performance. This is demonstrated by several reported numerical examples.
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An application of the differential equations of the sound ray,g along the surface of the ground are considered. The evaluation of sound rays which are raised temporarily to higher layers of the atmosphere is rather complicated. The following exposition describes the difficulties and the attempts to deal with them.
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On the uniqueness and stability of weak solutions of a fokker-planck-vlasov equation,e uniqueness of weak solutions and establish a criterion of (asymptotic) stability against local disturbations.-As a consequence, in the case of uniqueness the Galerkin method used in [7] is a constructive one, i.e. the whole sequence of all Galerkin-approximations converges.
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Frequency fitting in the numerical solution of ordinary differential equations, of this idea to the case of the test equation y′=Ay, y . IR., A a real 2×2 matrix with eigenvalues λ ± iμ, λ,μ real, with particular reference to the case when λ=0, for which the term "frequency fitting" is appropriate. Only one-step methods are considered here.
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