Akademik Veri Yönetim Sistemi
Tezin Türü: Yüksek Lisans
Tezin Yürütüldüğü Kurum: Akdeniz Üniversitesi, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü, Türkiye
Tezin Onay Tarihi: 2022
Tezin Dili: İngilizce
Öğrenci: BURÇAK YEŞİLIRMAK
Danışman: Murat Ak
Özet:
Calculation of numerical integration is realized with thousands of floating-point numbers and round-off errors accumulate as the number of steps increases in the integration
(Goldberg 1991). The aim of this study is to reduce the round-off errors accumulated in
the numerical integration of Newtonian equation of motion using pair-precision technique. Pair-precision technique is frequently used in studies of the stability of the Solar
System for the purpose of investigating dynamical processes with more precise results
(Quinn and Tremaine 1989; Quinlan 1993; Rein and Spiegel 2014). Through this technique a 105-bit precision integration was performed using 53-bit double precision variables.
The obtained results were compared with the results of double precision test integration
using two-body orbital constants and a gain of 8 digits has been achieved. Consequently
local integration errors were reduced 108
times despite by a factor of 3.04 CPU time cost
of the technique.