التفاصيل البيبلوغرافية
| العنوان: |
Optimization of parameters in the generalized D'Alambert formula of rational interlination on a system of intersection lines. |
| المؤلفون: |
Lytvyn, O. M., Lytvyn, O. O., Biloborodov, A. A. |
| المصدر: |
AIP Conference Proceedings; 2024, Vol. 3094 Issue 1, p1-4, 4p |
| مصطلحات موضوعية: |
DERIVATIVES (Mathematics), OPERATOR functions, INTERPOLATION, DIFFERENTIABLE dynamical systems |
| مستخلص: |
When interpolating the functions of one or more variables, the experimental data are the values of the approximate functions and their derivatives in the system of interpolation points. Therefore, the order of differentiability of the approximation operators of functions of several variables does not have the same property as the interlineation operator using traces of functions and its normal derivatives on the system of lines: some derivatives along the normal may be non-differentiable. In the generalized D'Alambert formula, some parameters β can be chosen in such a way that this formula automatically preserves the same class of differentiability to which the approximating function belongs. In articles [2] and [3], the optimization method of generalized D'Alambert formulas on the system of parallel lines with automatic preservation of the required differentiability class is investigated. In this report, for the first time, it is proposed to extend this optimization method to the case of interlining functions of two variables on a system of intersecting lines [1, p. 35-44]. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
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