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Kulkarni Method for the Generalized Airfoil Equation

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Integral Methods in Science and Engineering, Volume 2
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Abstract

Kulkarni method is formulated and justified for solving numerically the generalized airfoil equation using a sequence of orthogonal finite rank projections. The convergence analysis and associated theorems are considered in this work.

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References

  1. Ahues, M., Largillier, A., Limaye, B.V.: Spectral Computations for Bounded Operators. CRC, Boca Raton (2001)

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  2. Berthold, D., Hoppe, W., Silbermann, B.: A fast algorithm for solving the generalized airfoil equation. J. Comput. Appl. Math. 43, 185–219 (1992)

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  3. Kulkarni, R.: A superconvergence result for solutions of compact operator equations. Bull. Aust. Math. Soc. 68, 517–528 (2003)

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  4. Mennouni, A.: Two projection methods for skew-Hermitian operator equations. Math. Comput. Modell. 55, 1649–1654 (2012)

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Correspondence to A. Mennouni .

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Mennouni, A. (2017). Kulkarni Method for the Generalized Airfoil Equation. In: Constanda, C., Dalla Riva, M., Lamberti, P., Musolino, P. (eds) Integral Methods in Science and Engineering, Volume 2. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-59387-6_18

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