Results 261 to 270 of about 11,165 (303)

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, D.K., Sakran, M. R. A.   +3 more
openaire   +2 more sources

An Efficient Parameterized Logarithmic Kernel Function for Semidefinite Optimization

Acta Mathematicae Applicatae Sinica, English Series, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Derbal, Louiza, Kebbiche, Zakia
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An efficient parameterized logarithmic kernel function for linear optimization

Optimization Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mousaab Bouafia, Djamel Benterki, Adnan Yassine   +2 more
exaly   +4 more sources

Airfoil polynomials for solving integro-differential equations with logarithmic kernel

Applied Mathematics and Computation, 2012
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Abdelaziz Mennouni
exaly   +2 more sources

Solving integral equations with logarithmic kernels by Chebyshev polynomials

Numerical Algorithms, 2008
For the numerical solution of Volterra integral equations with logarithmic kernels \[ y(t) = g(t) + \int_0^t \ln (t-s) f(t,s,y(s)) \,ds \] with \((\nu+1)\) times differentiable functions \(f\) and \(g\), a fully discrete collocation method is proposed.
Khater, A.H., Shamardan, A.B., Callebaut, D.K., Sakran, M.R.A.   +3 more
openaire   +3 more sources

Balayage of Measures with Respect to Polynomials and Logarithmic Kernels on the Complex Plane

Lobachevskii Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khabibullin, B. N., Menshikova, E. B.
openaire   +1 more source

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

Solution of an Integral Equation of the First Kind with a Logarithmic Kernel

Computational Mathematics and Modeling, 2018
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Dmitriev, V. I., Dmitrieva, I. V., Osokin, N. A.   +2 more
openaire   +2 more sources