Численная аппроксимация табличных функций на основе методов многомерной оптимизации при моделировании физико-технических задач
| Parent link: | Перспективы развития фундаментальных наук=Prospects of Fundamental Sciences Development: сборник научных трудов XV Международной конференции студентов, аспирантов и молодых ученых, г. Томск, 24-27 апреля 2018 г./ Национальный исследовательский Томский политехнический университет (ТПУ) ; под ред. И. А. Курзиной, Г. А. Вороновой.— , 2018 Т. 3 : Математика.— 2018.— [С. 58-60] |
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| Summary: | Заглавие с экрана The aim of the article is to present an approximation method based on multidimensional optimization methods which does not require preliminary information about the derivatives of the approximating function. It is proposed to use a combination of the grid method, coordinate descent method and the golden section method to solve the task of optimizing the objective function (standard deviation in the nodes of the tabular function). The considered example of the approximation of the flight trajectory of a body in the atmosphere illustrates the comparability of the results of the proposed method and the least squares method. |
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2018
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| Online Access: | http://earchive.tpu.ru/handle/11683/50845 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=627631 |