Results 251 to 260 of about 102,837 (286)

An efficient parameterized logarithmic kernel function for linear optimization

Optimization Letters, 2017
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Bouafia, Mousaab, Benterki, Djamel, Yassine, Adnan   +2 more
openaire   +5 more sources

Quadrature methods for logarithmic-kernel integral equations on closed curves

IMA Journal of Numerical Analysis, 1992
The numerical solution of the following integral equation is considered: \[ -(1/\pi)\int_{\Gamma}\log| t-s| z(s)d\ell_ s+\int_ \Gamma k(t,s)z(s)d\ell_ s=g(t), \quad t\in\Gamma, \] where \(| t-s|\) is the Euclidean distance between points \(t\) and \(s\) on a curve \(\Gamma\), \(k(t,s)\) is a smooth kernel, and \(d\ell\) is the element of arclength. The
Saranen, J., Sloan, Ian H.
openaire   +4 more sources

Airfoil polynomials for solving integro-differential equations with logarithmic kernel

Applied Mathematics and Computation, 2012
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Abdelaziz Mennouni
openaire   +3 more sources

An Efficient Parameterized Logarithmic Kernel Function for Semidefinite Optimization

Acta Mathematicae Applicatae Sinica, English Series, 2020
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Derbal, Louiza, Kebbiche, Zakia
openaire   +2 more sources

Integral Equations with Logarithmic Kernels

IMA Journal of Applied Mathematics, 1989
Singular integral equations with logarithmic kernels arise in analysis and in many two-dimensional problems in mathematical physics, mechanics and engineering such as potential and scattering theories.
Ricardo Estrada, Ram P. Kanwal
openaire   +1 more source

Legendre solutions of integral equations with logarithmic kernels

International Journal of Computer Mathematics, 2008
In this paper a finite Legendre expansion is developed to solve linear and nonlinear Volterra integral equations with logarithmic singularities in their kernels. The error analysis is derived. Numerical results and comparisons with other methods in the literature are considered.
Khater, A. H., Shamardan, A. B., Callebaut, Dirk, Sakran, M. R. A.   +3 more
openaire   +2 more sources

Asymptotic Expansions of Integrals with Oscillatory Kernels and Logarithmic Singularities

SIAM Journal on Mathematical Analysis, 1980
This paper is a follow-up to an earlier paper by Bleistein which derived asymptotic expansions of integral tranforms of functions with logarithmic singularities. That result dealt with exponentially decaying kernels. In this paper the results are expanded to include the case of general oscillatory kernels—e.g., Fourier or Hankel transforms. The results
Armstrong, Judith A., Bleistein, Norman
openaire   +2 more sources

A Simplified Procedure for Singular Integral Equations with Logarithmic Kernels

IMA Journal of Applied Mathematics, 1970
An exact construction of solutions to a class of singular integral equations given by Morland (1970) is approximated to reduce computer storage and time. Applications are to kernels which are the sum of a continuous bounded function and a logarithm multiplied by a second continuous bounded function, with the possible addition of a strong singularity ...
Margetson, J., Morland, L. W.
openaire   +2 more sources

Singular integral equations with logarithmic kernels

Mathematika, 1970
Closed form solutions are obtained for a class of singular integral equations of the first kind with difference kernels. The kernel function is the sum of a polynomial and a second polynomial multiplied by a logarithm, with the possible addition of a strong singularity. A wider class of kernels have approximate representations in one of the above forms,
openaire   +2 more sources

Piecewise logarithmic Chebyshev cardinal functions: Application for nonlinear integral equations with a logarithmic singular kernel

Applied Numerical Mathematics
M.H. Heydari, D. Baleanu, M. Bayram
openaire   +3 more sources