Registration Number
0224U032371,
(0119U002224)
, R & D reports
Title
To develop models and methods intended for heterogeneous calculations for problems in solid state mechanics.
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Розробити моделі та методи гетерогенних обчислень для задач механіки суцільних середовищ.
Head
Khimich Oleksandr M., Доктор фізико-математичних наук
Registration Date
24-09-2024
Organization
V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine
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New methods for solving systems of linear and nonlinear equations, eigenvalue problems, and differential equations for heterogeneous systems are introduced in this work. The developed methods of structural regularization of matrices improve the stability and accuracy of solutions. The use of a convolutional neural network for automatic identification of sparse matrix structures allows efficient processing of large amounts of data. Block algorithms that use multi-bit arithmetic and mixed bit provide high accuracy and computing performance. The developed methods and algorithms have significant potential for practical application in various industries, including the defense industry, mechanical engineering, construction, and environmental management. Experimental studies confirm the high efficiency and reliability of the results obtained.
Product Description
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Nikolaievska Olena A.
Popov Oleksandr V.
Sydoruk Volodymyr A.
Khimich Oleksandr M.
Chystiakov Oleksii V.
Chystiakova Tamara V.
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2024-10-01
