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...
Saved in:
| Date: | 2015 |
|---|---|
| Author Affiliations: |
|
| Keywords: | keywords |
| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2015
|
| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/18 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |
|
Institution
Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | 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. |
|---|