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Article information
2006 , Volume 11, ¹ 4, p.29-36
Gorelov D.N., Redreev D.G.
Construction of quadrature formula for a singular integral with the Cauchy kernel over wing profile contour
A quadrature formula for a singular integral with the Cauchy kernel is constructed. Quadrature considers large curvature of contour in the vicinity of leading edge as well as large gradients of density when tightening contour to the slit. Uniform convergence of formula on a discrete set of contour points is proved.
[full text] Author(s):
Gorelov Dmitrii Nikolaevich
Dr. , Professor
Position: General Scientist
Office: Omsk branch of Sobolev Instiute of Mathematics of SB RAS
Address: 644099, Russia, Omsk, Pevtcova str. 13
Phone Office: (3812) 23 67 39
E-mail: gorelov@ofim.oscsbras.ru
Redreev Denis Grigoryevich
Position: Research Scientist
Office: Omsk branch of Sobolev Instiute of Mathematics of SB RAS
Address: 644099, Russia, Omsk, Pevtcova str. 13
Phone Office: (3812) 23 67 39
E-mail: d.redreev@mail.ru
Bibliography link:
Gorelov D.N., Redreev D.G. Construction of quadrature formula for a singular integral with the Cauchy kernel over wing profile contour // Computational technologies. 2006. V. 11. ¹ 4. P. 29-36
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