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Ð’ данной работе раÑÑматриваютÑÑ Ð¸Ð½Ñ‚ÐµÐ³Ñ€Ð°Ð»ÑŒÐ½Ñ‹Ðµ Ð¿Ñ€ÐµÐ¾Ð±Ñ€Ð°Ð·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð² планарной модели трещины гидроразрыва плаÑта. Ð’ первой чаÑти иÑÑледуетÑÑ Ð¿Ñ€Ð¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ фильтра нижних чаÑтот на оÑновании диÑкретного Ð¿Ñ€ÐµÐ¾Ð±Ñ€Ð°Ð·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¤ÑƒÑ€ÑŒÐµ и вейвлет-Ð¿Ñ€ÐµÐ¾Ð±Ñ€Ð°Ð·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¥Ð°Ð°Ñ€Ð°. Во второй чаÑти работы раÑÑматриваетÑÑ Ð¼Ð°Ñ‚Ñ€Ð¸Ñ‡Ð½Ð¾-векторное умножение Ñ Ð¸Ñпользованием диÑкретного Ð¿Ñ€ÐµÐ¾Ð±Ñ€Ð°Ð·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¤ÑƒÑ€ÑŒÐµ.
This paper considers integral transformations in a planar model of a hydraulic fracture. The first part explores the use of a low-pass filter based on the discrete Fou-rier transform and the Haar wavelet transform. The second part of the paper considers matrix-vector multiplication using the discrete Fourier transform.
matrix vector multiplication, planar3d, Haar wavelet conversion, маÑÑиÑно-векÑоÑное Ñмножение, lower filter, Fourier discrete conversion, ÑилÑÑÑ Ð½Ð¸Ð¶Ð½Ð¸Ñ ÑаÑÑоÑ, диÑкÑеÑное пÑеобÑазование ФÑÑÑе, вейвлеÑ-пÑеобÑазование ХааÑа
matrix vector multiplication, planar3d, Haar wavelet conversion, маÑÑиÑно-векÑоÑное Ñмножение, lower filter, Fourier discrete conversion, ÑилÑÑÑ Ð½Ð¸Ð¶Ð½Ð¸Ñ ÑаÑÑоÑ, диÑкÑеÑное пÑеобÑазование ФÑÑÑе, вейвлеÑ-пÑеобÑазование ХааÑа
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