Titlebook: Numerische Behandlung von Differentialgleichungen mit besonderer Berücksichtigung freier Randwertauf; Tagung am Mathematis J. Albrecht,L. C

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Fretful

Conservative Difference Schemes for Diffusion Problems,nck equations in one space dimension under conditions of periodicity or reflecting boundaries and under interface conditions. Possible generalizations to inhomogeneous equations, to inhomogeneous boundary conditions, and to nonlinear problems are hinted at, and applications to numerical treatment of

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,SOR — Verfahren für Nichtlineare Ungleichungssysteme,m of inequalities for each time step. The special structure of these inequalities allows us to generalize the theorems about SOR iteration methods, well-known for systems of equations with M-functions (cf.[5]), to the situation of inequalities. First of all we recapitulate the problem and its discre

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,Defekt-Korrektur-Methoden für das Zentrale Euler-Verfahren bei Randwertproblemen Gew?hnlicher DiffeIn this paper we apply the centered Euler-scheme to boundary value problems of ordinary differential equations of the second order. We prove the asymptotic expansion of the error and use that fact to give defect-corrections via neighbouring problems, generalizing results of Frank, Hertling and Ueberhuber [6,7].

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