Open AccessComputer Algebra Methods in Modeling the Dynamics of Particle Beams in Accelerators
Author(s) -
S. N. Andrianov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1686/1/012067
Subject(s) - formalism (music) , computer science , algebra over a field , perturbation theory (quantum mechanics) , matrix algebra , symbolic computation , artificial neural network , computational science , theoretical computer science , physics , mathematics , artificial intelligence , particle physics , quantum mechanics , pure mathematics , mathematical analysis , visual arts , art , musical , eigenvalues and eigenvectors
This article is devoted to the methods of numerical and symbolical methods of calculations, which are based on perturbation theory and are implemented in terms of matrix formalism. These methods were used to solve various problems of modeling and optimization in accelerator physics. The basic theoretical principles are verified using methods to neural network technologies, machine learning and others.