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On the Convergence of Dynamic Iterations in Terms of Model Parameters

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Integral Methods in Science and Engineering
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Abstract

We investigate the influence of the parameters of given systems of ordinary differential equations on the propagation of errors introduced by dynamic iterations applied to the systems. We have derived formulas for the errors and concluded that if the equations are reordered in line with the parameters, then the convergence of the resulting dynamic iterations can be sped up. The theoretical results confirm numerical experiments.

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Correspondence to Barbara Zubik-Kowal .

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Zubik-Kowal, B. (2019). On the Convergence of Dynamic Iterations in Terms of Model Parameters. In: Constanda, C., Harris, P. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16077-7_36

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