On the Convergence of Dynamic Iterations in Terms of Model Parameters

Barbara Zubik-Kowal

doi:10.1007/978-3-030-16077-7_36

On the Convergence of Dynamic Iterations in Terms of Model Parameters

Barbara Zubik-Kowal

Mathematics Department

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	Integral Methods in Science and Engineering
Subtitle of host publication	Analytic Treatment and Numerical Approximations
Pages	465-476
Number of pages	12
ISBN (Electronic)	9783030160777
DOIs	https://doi.org/10.1007/978-3-030-16077-7_36
State	Published - 1 Jan 2019

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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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AB - 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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On the Convergence of Dynamic Iterations in Terms of Model Parameters

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