Xu, Kuan, Jiang, Shidong (2012) A bootstrap method for sum-of-poles approximations. Journal of Scientific Computing, 55 (1). ISSN 0885-7474. (doi:10.1007/s10915-012-9620-9) (KAR id:58494)
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Official URL: http://dx.doi.org/10.1007/s10915-012-9620-9 |
Abstract
A bootstrap method is presented for finding efficient sum-of-poles approximations of causal functions. The method is based on a recursive application of the nonlinear least squares optimization scheme developed in (Alpert et al. in SIAM J. Numer. Anal. 37:1138–1164, 2000), followed by the balanced truncation method for model reduction in computational control theory as a final optimization step. The method is expected to be useful for a fairly large class of causal functions encountered in engineering and applied physics. The performance of the method and its application to computational physics are illustrated via several numerical examples.
Item Type: | Article |
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DOI/Identification number: | 10.1007/s10915-012-9620-9 |
Subjects: | Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Kuan Xu |
Date Deposited: | 09 Nov 2016 17:24 UTC |
Last Modified: | 16 Nov 2021 10:23 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/58494 (The current URI for this page, for reference purposes) |
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