A Quadrature-Based Approach to Improving the Collocation Method.
Ian H. Sloan (1989)
Numerische Mathematik
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Displaying similar documents to “Integral equations of the linear sloshing in an infinite chute and their discretization.”
A Quadrature-Based Approach to Improving the Collocation Method.
Quadrature method for singular integral equations on closed curves.
S. Prössdorf, I.H. Sloan (1992)
Numerische Mathematik
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Numerical solution of the second kind singular Volterra integral equations by modified Navot-Simpson's quadrature.
Araghi, Mohammad Ali Fariborzi, Kasmaei, Hamed Daei (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Gauss type quadrature formulas for singular integrals
Rolf Haftmann (1984)
Banach Center Publications
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On the quadrature error in operational quadrature methods for convolutions.
P.P.B. Eggermont (1992)
Numerische Mathematik
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A new convergence rate for the quadrature method for solving singular integral equations
Peter Junghanns (1989)
Banach Center Publications
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Error Estimates for Interpolatory Quadrature Formulae.
H. Brass, G. Schmeisser (1981)
Numerische Mathematik
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Quadrature error expansions. II. The full corner singularity.
J.N. Lyness, E. de Doncker (1993)
Numerische Mathematik
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Quadrature approximation of one singular integral operator.
Sanikidze, J. (2001)
Computational Methods in Applied Mathematics
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On convergence of quadrature-differences method for linear singular integro-differential equations on the interval
A. I. Fedotov (2001)
Archivum Mathematicum
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Here we propose and justify the quadrature-differences method for the full linear singular integro-differential equations with Cauchy kernel on the interval . We consider equations of zero, positive and negative indices. It is shown, that the method converges to exact solution and the error estimate depends on the sharpness of derivative approximation and the smoothness of the coefficients and the right-hand side of the equation.