METHODOLOGY FOR DETERMINING ERRORS IN SIMULATION MODELING SYSTEMS, DEVELOPMENT AND IMPLEMENTATION OF HIGH-PRECISION COMPUTATION METHODS USING LONG ARITHMETIC
DOI:
https://doi.org/10.30890/2567-5273.2024-36-00-031Keywords:
simulation modeling, arbitrary-precision arithmetic, high-precision computing, errors, binary arithmetic, floating-point data representation, data structures, forecasting, basic arithmetic operations.Abstract
The article presents research on ways to improve computational accuracy in simulation modeling systems through the implementation of arbitrary-precision arithmetic. The limitations of traditional floating-point data types (IEEE 754) and their impact on tMetrics
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Appel A. and Kellison A. (2023) "VCFloat2: Floating-Point Error Analysis in Coq", CPP 2024: Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs. pp. 14-29. URL: https://doi.org/10.1145/3636501.3636953
Mahnken R. (2022) "New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction", Computer Methods in Applied Mechanics and Engineering, No.401(B) URL: https://doi.org/10.1016/j.cma.2022.115553
Chen J., Gao J., Chen Y., Oloulade B., Lyu T. and Li Z. (2022) "Auto-GNAS: A Parallel Graph Neural Architecture Search Framework", IEEE Transactions on Parallel and Distributed Systems, No.33(11) pp. 3117-3128 URL: https://doi.org/10.1109/TPDS.2022.3151895
Abdelhamid R., Kuwazawa G. and (2023) "Yamaguchi Y. Quantitative study of floating-point precision on modern FPGAs", HEART '23: Proceedings of the 13th International Symposium on Highly Efficient Accelerators and Reconfigurable Technologie. pp. 49 – 58 URL: https://doi.org/10.1145/3597031.3597042
Lipitakis A., Kousiouris G., Nikolaidou M., Bardaki C. and Anagnostopoulos D. (2023) "Empirical investigation of factors influencing function as a service performance in different cloud/edge system setups", Simulation Modelling Practice and Theory No128,. URL: https://doi.org/10.1016/j.simpat.2023.102808
IEEE 754 - Standard for Floating-Point Arithmetic 2019. URL: https://doi.org/10.1109/IEEESTD.2019.8766229
Levchenko, (2019) "Alhorytmy bazovykh aryfmetychnykh operatsiy dlya dviykovykh chysel predstavlenykh yak masyvy "[Basic arithmetic operations algorithms for binary numbers represented as arrays], Materials of the 8th International Scientific and Technical Conference "Information Systems and Technologies IST-2019" pp. 67-71 URL: https://ist-conf-nure.com.ua/ist_2019.pdf
Knuth, D. (1998)"Seminumerical Algorithms "The Art of Computer Programming, No 2. URL: https://www-cs-faculty.stanford.edu/~knuth/taocp.html.
Levchenko, A. and Sharіpova, I. (2020) "Direct and inverse image conversion for compressing images by a drone computer", International scientific integration 2020 No04(01) pp. 74-78. URL: https://doi.org/10.30888/2709-2267.2020-4
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