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

By Espen Lund, Lars Bugge, Igor Gavrilenko and Are Strandlie

Abstract

Originally published in the Journal of Instrumentation: http://www.iop.org/EJ/journalIn 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

Topics: simulation methods and programs, pattern recognition, cluster finding, data processing methods, VDP::Mathematics and natural science: 400::Physics: 430::Electromagnetism, acoustics, optics: 434
Publisher: International School of Advanced Studies (SISSA) and IOP Publishing
Year: 2009
DOI identifier: 10.1088/1748-0221/4/04/P04001
OAI identifier: oai:brage.bibsys.no:11250/142585
Provided by: HSN Open Archive
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