Titlebook: Numerische Behandlung von Differentialgleichungen Band 2; Tagung am Mathematis J. Albrecht,L. Collatz Book 1976 Springer Basel AG 1976 Diff

结束

https://doi.org/10.1007/978-3-0348-5328-6Differentialgleichung; Gleichung; Methode

THROB

,Konvergenzbedingungen bei der Numerischen Lösung Nichtlinearer Anfangswertaufgaben Mittels Differente multistep finite-difference methods. Under local differentiability assumptions on the nonlinear difference-operator necessary and sufficient conditions for convergence are presented, which turn out to be easy to verify.

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tic-douloureux

,Shooting Verfahren für Nichtlineare Eigenwertprobleme,nditions for the isolatedness of a solution, the essential convergence condition, are given for three classes of eigenvalueproblems. The efficiency of the method is demonstrated by several numerical examples.

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压舱物

,Ein Zwischenschrittverfahren für Halblineare Anfangswertaufgaben,bsolutely stable, so that especially for large time-intervals the solution of the initial-value problem can be approximated quickly. The method is applied to an integro-differential equation of the mathematical physics and the numerical results are compared with the results of a usual explicite finite-difference method.

Metastasis

Finite Element Methods in Conduction-Convection Problems,th large coefficients of the first order terms. This is particularly so when the mesh size is large. In the present study asymmetric linear basis functions are introduced which overcome this difficulty. In addition, parabolic basis functions are shown to be oscillation free and highly accurate for the working range of mesh sizes.

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