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...
Gespeichert in:
| Datum: | 2015 |
|---|---|
| Автори та афіліації: |
|
| Ключові слова: | keywords |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Інститут математики НАН України
2015
|
| Online Zugang: | https://trim.imath.kiev.ua/index.php/trim/article/view/18 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Завантажити файл: |
|
Institution
Transactions of Institute of Mathematics of NAS of Ukraine| Zusammenfassung: | 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. |
|---|