Base functions for projective methods in the hydrodynamics
The paper constructs a family of harmonic functions which are furthermoreadopted as a functional basis of a projective method in the hydrodyna-mics of a limited liquid volume. To get these functions, the Whitteckerrepresentation is utilised. Exact and recurrence formulas are derived tocompute the ha...
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| Дата: | 2015 |
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| Автори та афіліації: |
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| Ключові слова: | keywords |
| Автор: | |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://trim.imath.kiev.ua/index.php/trim/article/view/18 |
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| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Репозитарії
Transactions of Institute of Mathematics of NAS of Ukraine| Резюме: | The paper constructs a family of harmonic functions which are furthermoreadopted as a functional basis of a projective method in the hydrodyna-mics of a limited liquid volume. To get these functions, the Whitteckerrepresentation is utilised. Exact and recurrence formulas are derived tocompute the harmonic functions and their derivatives. The harmonicfunctions are analytical in the closed domain of definition but their analyti-cal continuation has a jump along a ray going from the domain corner poi-nts. Employing the functional set improves the precision of the projectivemethod and makes it possible to get extra 2-3 significant figures of theapproximate solution. |
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