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- W4317103239 abstract "Даются основы быстрой универсальной тригонометрической интерполяции. Приведены оценки погрешности, вводится понятие граничной функции различных порядков и записаны аналитические формулы, применяемые для решения инженерных задач. Эффективность быстрой универсальной тригонометрической интерполяции показана на примере решения краевой задачи для нелинейного дифференциального уравнения второго порядка. На отрезке единичной длины для достижения максимальной относительной погрешности решения менее одного процента достаточно учитывать в быстром разложении только одно первое слагаемое с синусами и одно первое слагаемое с косинусами. The basics of fast universal trigonometric interpolation are given in the article. The error estimates are presented by the authors. The concept of various orders boundary function is introduced in this work. Analytical formulas used to solve engineering problems are written as well. The efficiency of fast universal trigonometric interpolation is shown by the example of solving a boundary value problem for a second-order nonlinear differential equation. To achieve the maximum relative error of the solution of less than one percent, it is sufficient to take into account only one first term with sines and one first term with cosines in the fast decomposition on a segment of unit length." @default.
- W4317103239 created "2023-01-18" @default.
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- W4317103239 date "2023-01-17" @default.
- W4317103239 modified "2023-09-27" @default.
- W4317103239 title "Universal fast trigonometric interpolations for integro-differential problems of various orders" @default.
- W4317103239 doi "https://doi.org/10.37972/chgpu.2022.54.4.006" @default.
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