The Approximations of Functions and Adaptive Grids

I. G. Burova, E. F. Muzafarova, D. E. Zhilin

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциирецензирование

Аннотация

A visualization of real function of two variables is often technically difficult. Visualization of complex-valued functions can be simplified by visualizing the real and imaginary parts of these functions. To approximate fast-growing or decreasing functions, often a uniform grid of nodes is not enough and it is necessary to use a special adaptive grid. Therefore, constructing an adaptive mesh of nodes that takes into account the behavior of the function of several variables is of considerable interest. In this paper, we propose one method for constructing an adaptive grid of nodes on a line. Such an adaptive grid can be used to approximate the functions of several variables. Formulae for constructing the adaptive grid of nodes and the results of numerical experiments are given. An approximation of real functions of one and two variables and complex-valued functions is constructed using polynomial and non-polynomial local splines of one variable. Approximations in a rectangular region in the plane are constructed using the tensor product. Formulae for approximations of real and complex-valued functions and examples of visualization of some functions are given.

Язык оригиналаанглийский
Название основной публикацииProceedings - 2018 International Conference on Applied Mathematics and Computational Science, ICAMCS.NET 2018
ИздательInstitute of Electrical and Electronics Engineers Inc.
Страницы171-177
Число страниц7
ISBN (электронное издание)9781538694688
DOI
СостояниеОпубликовано - окт 2018
Событие2018 International Conference on Applied Mathematics and Computational Science, ICAMCS.NET 2018 - Budapest, Венгрия
Продолжительность: 6 окт 20188 окт 2018

Серия публикаций

НазваниеProceedings - 2018 International Conference on Applied Mathematics and Computational Science, ICAMCS.NET 2018

конференция

конференция2018 International Conference on Applied Mathematics and Computational Science, ICAMCS.NET 2018
Страна/TерриторияВенгрия
ГородBudapest
Период6/10/188/10/18

Предметные области Scopus

  • Прикладные компьютерные науки
  • Прикладная математика
  • Вычислительная математика
  • Теория оптимизации
  • Моделирование и симуляция

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