On the Convergence of Dynamic Iterations in Terms of Model Parameters

Barbara Zubik-Kowal ()
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Barbara Zubik-Kowal: Boise State University, Department of Mathematics

Chapter Chapter 36 in Integral Methods in Science and Engineering, 2019, pp 465-476 from Springer

Abstract: 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.

Date: 2019
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DOI: 10.1007/978-3-030-16077-7_36

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