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Solvability of an Integral Equation of Volterra-Wiener-Hopf Type [PDF]
Abstract and Applied Analysis, 2014 The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite ...
Nurgali K. Ashirbayev +2 more
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A Generalization of the Wiener-Hopf Integral Equation. [PDF]
Proc Natl Acad Sci U S A, 1946 Not ...
Heins AE, Wiener N.
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Numerical solution of scattering problems using a Riemann-Hilbert formulation. [PDF]
Proc Math Phys Eng Sci, 2019 A fast and accurate numerical method for the solution of scalar and matrix Wiener--Hopf problems is presented. The Wiener--Hopf problems are formulated as Riemann--Hilbert problems on the real line, and a numerical approach developed for these problems ...
Llewellyn Smith SG, Luca E.
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Running coupling and non-perturbative corrections for O(N) free energy and for disk capacitor
Journal of High Energy Physics, 2022 We reconsider the complete solution of the linear TBA equation describing the energy density of finite density states in the O(N) nonlinear sigma models by the Wiener-Hopf method.
Zoltán Bajnok +3 more
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An antiplane crack emerging from the top of a composite functional gradient wedge
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2023 In the paper, the problem on an interface longitudinal shear crack located between two functionally graded wedge-shaped regions and emerging from their common vertex has been considered.
Tikhomirov Victor
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Operational Quadrature Methods for Wiener-Hopf Integral Equations [PDF]
Mathematics of Computation, 1993 We study the numerical solution of Wiener-Hopf integral equations by a class of quadrature methods which lead to discrete Wiener-Hopf equations, with quadrature weights constructed from the Fourier transform of the kernel (or rather, from the Laplace transforms of the kernel halves).
Eggermont, P. P. B., Lubich, Ch.
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Reproducing kernel method for solving wiener-hopf equations of the second kind [PDF]
Journal of Hyperstructures, 2016 This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used.
Azizallah Alvandi +2 more
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Functionally graded wedge weakened by a semi-infinite crack
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2022 In the paper, the problem of a semi-infinite antiplane interface crack located between two functionally graded wedge-shaped regions has been considered. The shear modules of the materials’ regions are quadratic functions of the polar angle.
Tikhomirov Victor
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On asymptotic behavior at infinity and the finite section method for integral equations on the half-line [PDF]
, 1994 e consider integral equations on the half-line of the form and the finite section approximation to x obtained by replacing the infinite limit of integration by the finite limit β.
Chandler-Wilde, Simon N.
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Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020 This paper is devoted to the investigation of the Kolmogorov-Wiener filter weight function for continuous fractal processes with a power-law structure function.
Vyacheslav Gorev +2 more
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