Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Multiplication Algorithm for Multivariate Trigonometric Series. / Babadzanjanz, Levon ; Pototskaya, Irina ; Pupysheva, Yulia ; Alesova, Irina .
Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. ред. / N.V. Smirnov; Anna Golovkina. Springer Nature, 2022. стр. 319-327 (Lecture Notes in Control and Information Sciences - Proceedings).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
}
TY - GEN
T1 - Multiplication Algorithm for Multivariate Trigonometric Series
AU - Babadzanjanz, Levon
AU - Pototskaya, Irina
AU - Pupysheva, Yulia
AU - Alesova, Irina
N1 - Conference code: 4
PY - 2022/3/16
Y1 - 2022/3/16
N2 - Multivariate trigonometric series are used for analytical and numerical solutions of a wide class of applied problems. This mathematical tool is in demand in celestial mechanics, quantum mechanics, electrical engineering, acoustics, optics, and the theory of signal and image processing. Multiplying such series when implementing numerical methods is a complex task that requires a large amount of machine time and memory. The formulas for the coefficients of the product of multivariate series derived in this article, can significantly reduce memory consumption and calculation time. Therefore, the use of these formulas in the software development to solve the mentioned tasks can improve its quality and competitiveness. All the results obtained are presented in the conclusion as final formulas for software implementation.
AB - Multivariate trigonometric series are used for analytical and numerical solutions of a wide class of applied problems. This mathematical tool is in demand in celestial mechanics, quantum mechanics, electrical engineering, acoustics, optics, and the theory of signal and image processing. Multiplying such series when implementing numerical methods is a complex task that requires a large amount of machine time and memory. The formulas for the coefficients of the product of multivariate series derived in this article, can significantly reduce memory consumption and calculation time. Therefore, the use of these formulas in the software development to solve the mentioned tasks can improve its quality and competitiveness. All the results obtained are presented in the conclusion as final formulas for software implementation.
UR - https://www.mendeley.com/catalogue/d3fe6c72-f462-31fd-a9e0-61ff35ec7da6/
U2 - https://doi.org/10.1007/978-3-030-87966-2_35
DO - https://doi.org/10.1007/978-3-030-87966-2_35
M3 - Conference contribution
SN - 978-3-030-87965-5
T3 - Lecture Notes in Control and Information Sciences - Proceedings
SP - 319
EP - 327
BT - Stability and Control Processes
A2 - Smirnov, N.V.
A2 - Golovkina, Anna
PB - Springer Nature
T2 - Stability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov
Y2 - 5 October 2020 through 9 October 2020
ER -
ID: 96503759