Track parameter propagation through the application of a new adaptive Runge-Kutta-Nyström method in the ATLAS experiment

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Published 1 April 2009 Published under licence by IOP Publishing Ltd
, , Citation E Lund et al 2009 JINST 4 P04001 DOI 10.1088/1748-0221/4/04/P04001

1748-0221/4/04/P04001

Abstract

In this paper we study several fixed step and adaptive Runge-Kutta methods suitable for transporting track parameters through an inhomogeneous magnetic field. Moreover, we present a new adaptive Runge-Kutta-Nyström method which estimates the local error of the extrapolation without introducing extra stages to the original Runge-Kutta-Nyström method. Furthermore, these methods are compared for propagation accuracy and computing cost efficiency in the simultaneous track and error propagation (STEP) algorithm of the common ATLAS tracking software. The tests show the new adaptive Runge-Kutta-Nyström method to be the most computing cost efficient.

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