Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

The stability of numerical approximations of the time domain current induced on thin wire and strip antennas

Davies, P.J. and Duncan, D.B. and Zubik-Kowal, B. (2005) The stability of numerical approximations of the time domain current induced on thin wire and strip antennas. Applied Numerical Mathematics, 55 (1). pp. 48-68.

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

We derive and analyse collocation approximations of retarded potential integral equations (RPIEs) arising as models of scattering of waves from thin wire and strip antennas. In particular we derive midline collocated and transversely averaged strip RPIEs and show how they are related to the thin wire exact kernel RPIE. We Fourier analyse the temporal stability of spatially exact piecewise constant and linear in time approximations of these three RPIEs. All three are stable when piecewise constant in time approximation is used, but only the transversely averaged strip approximation is stable with piecewise linear time approximation. Numerical results are presented for practical schemes that are piecewise constant or linear in time and space, and these are in close agreement with the predictions of the Fourier analysis.