Modified Gauss-Legendre, Lobatto and Radau cubature formulas for the numerical evaluation of 2-D singular integrals.
Theocaris, P.S. (1983)
International Journal of Mathematics and Mathematical Sciences
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Theocaris, P.S. (1983)
International Journal of Mathematics and Mathematical Sciences
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Ladopoulos, E.G., Tsamasphyros, G., Zisis, V.A. (2004)
International Journal of Mathematics and Mathematical Sciences
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A.G. Ramm, A. van der Sluis (1990)
Numerische Mathematik
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W.L. Wendland, C. Schwab (1992)
Numerische Mathematik
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Masatomo Takahashi (2007)
Colloquium Mathematicae
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A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular...
Kusano, Takaŝi, Naito, Manabu (2000)
Journal of Inequalities and Applications [electronic only]
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E. G. Ladopoulos, V. A. Zisis (1997)
Applications of Mathematics
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Non-linear singular integral equations are investigated in connection with some basic applications in two-dimensional fluid mechanics. A general existence and uniqueness analysis is proposed for non-linear singular integral equations defined on a Banach space. Therefore, the non-linear equations are defined over a finite set of contours and the existence of solutions is investigated for two different kinds of equations, the first and the second kind. Moreover, the existence of solutions...
J.D. Keckic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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