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Titlebook: Differential-Difference Equations/Differential-Differenzengleichungen; Applications and Num L. Collatz,G. Meinardus,W. Wetterling Book 1983

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The Language of Argumentation in Dutchidered; maximum principles and monotonicity have been proved under certain conditions on a, b. With aid of these theorems one can calculate inclusions for the wanted periodic solutions using approximation and optimization techniques. A numerical example is given. One can reduce the difference-differ
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Frans H. van Eemeren,Peter Houtlosserccuracy of the numerical result returned by the code. Even when the code reports an estimate of the global error, the question may remain whether this estimate is correct, i. e. whether the user can rely on the estimate. This paper proposes a simple idea of measuring the reliability of the global er
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Applications of Reaching Definition Analysisopposite directions for a domain functional. — A difference scheme is called . if the equations relative to successive mesh sizes don’t contradict each other. Such coherent schemes give the exact solutions in very elementary problems. In general they yield especially good approximations. — Not only
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Applications of Reaching Definition Analysisform dy(t)/dt = ω.y(t) + ω.y(t−ω) where ω., ω. and ω are constants (ω>0). By generalizing the conventional predictor-corrector methods it is possible to improve the stability region in the (ω.Δt, ω.Δt) — plane considerably. In particular, methods based on extrapolation-predictors and backward differ
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Revisiting Some Classical Compiler Conceptss natural formulation as an abstract Cauchy problem in an infinite dimensional state space (compare (2.7) below), will be approximated by a sequence of differential equations in finite dimensional Euclidean spaces. There are several reasons for our interest in such approximation results. One of them
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