The generalized Wiener-Hopf equations for the elastic wave motion in angular regions. [PDF]
Proc Math Phys Eng Sci, 2022 In this work, we introduce a general method to deduce spectral functional equations in elasticity and thus, the generalized Wiener–Hopf equations (GWHEs), for the wave motion in angular regions filled by arbitrary linear homogeneous media and illuminated
Daniele VG, Lombardi G.
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The generalized Wiener-Hopf equations for wave motion in angular regions: electromagnetic application. [PDF]
Proc Math Phys Eng Sci, 2021 In this work, we introduce a general method to deduce spectral functional equations and, thus, the generalized Wiener–Hopf equations (GWHEs) for wave motion in angular regions filled by arbitrary linear homogeneous media and illuminated by sources ...
Daniele VG, Lombardi G.
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Applying an iterative method numerically to solve n × n matrix Wiener-Hopf equations with exponential factors. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 This paper presents a generalization of a recent iterative approach to solving a class of 2 × 2 matrix Wiener–Hopf equations involving exponential factors. We extend the method to square matrices of arbitrary dimension n, as arise in mixed boundary value
Priddin MJ, Kisil AV, Ayton LJ.
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Scale-Invariant Waveguiding in Flatland. [PDF]
Exploration (Beijing)The study introduces scale‐invariant metasurface waveguides with uniform modal field distribution and an effective index independent of the core width. By leveraging spatial symmetry and fine‐tuning mode profiles, the design is validated through near‐field measurements in the C band, offering potential applications in flat optics, sensing, and ...
Xu Z +5 more
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Equivalence of variational inequalities with Wiener-Hopf equations [PDF]
Proceedings of the American Mathematical Society, 1991 We show that a variational inequality is equivalent to a generalized Wiener-Hopf equation in the sense that, if one of them has a solution so does the other one. Moreover, their solutions can be transformed to each other by a simple formula. Applications are considered.
P. Shi
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GENERAL WIENER-HOPF EQUATIONS AND NONEXPANSIVE MAPPINGS [PDF]
Journal of Mathematical Inequalities, 2008 In this paper, we show that the general variational inequalities are equivalent to a new class of general Wiener-Hopf equations involving the nonexpansive mappings. Using this equivalence, we suggest and analyze an iterative method for finding the common elements of the solution set of the general variational inequalities and the solution set of the ...
M. Noor, Saira Zainab, Humaira Yaqoob
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State estimation of a physical system with unknown governing equations. [PDF]
Nature, 2023 Course K, Nair PB.
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A prediction perspective on the Wiener–Hopf equations for time series [PDF]
Journal of Time Series Analysis, 2021 The Wiener–Hopf equations are a Toeplitz system of linear equations that naturally arise in several applications in time series. These include the update and prediction step of the stationary Kalman filter equations and the prediction of bivariate time ...
S. Subba Rao, Junho Yang
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Brunet–Derrida particle systems, free boundary problems and Wiener–Hopf equations [PDF]
, 2009 We consider a branching-selection system in R with N particles which give birth independently at rate 1 and where after each birth the leftmost particle is erased, keeping the number of particles constant.
R. Durrett, Daniel Remenik
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A constructive method for an approximate solution to scalar Wiener–Hopf equations [PDF]
Proceedings of the Royal Society A, 2013 This paper presents a novel method of approximating the scalar Wiener–Hopf equation, and therefore constructing an approximate solution. The advantages of this method over the existing methods are reliability and explicit error bounds.
A. Kisil
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