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12 Nov 2010: cated Wiener–Hopf integral operators over increasing intervals. The kernel of the operatorsis complex-symmetric and has a rational Fourier transform. ... 0. k(t s)f(s) ds, t (0,τ). (1.1). We suppose that k is a function in L2(R), so that the integral

1 May 2024: Numerical experiments are includedfor the two-dimensional Helmholtz equation. Keywords Fredholm Integral Equations Collocation Methods Least-squares oversampling Convergence Analysis. ... In the present work, we are interested in the study of

30 Jul 2010: 3. An oscillatory multivariate integral. In this section we prove Theorem 1.1. ... 11] H. Brunner, A. Iserles, and S. P. Nørsett, The computation of the spectra of highlyoscillatory Fredholm integral operators.

17 Mar 2010: Widom, Two remarks on spectral approximations forWiener–Hopf operators. J. Integral Equations Appl. ... P. Nørsett, The computation of the spectra ofhighly oscillatory Fredholm integral operators.

26 Jul 2013: a boundary integral formulation of the Stokes equations. For both models, net locomotion can be. ... Eqn (21) is a well-posed. Fredholm integral equation of the second kind for the unknown.

2 Nov 2018: 2011), ‘The computation of the spectra of highly. oscillatory Fredholm integral operators’, J. ... Integral Equ. Appl. 23(4), 467–519. Deaño, A., Huybrechs, D. & Iserles, A.

26 Jul 2013: The slenderbody theory generates a system of Fredholm integral equa-tions of the first kind which are in general susceptible tooscillatory behavior or slow convergence in their numericalsolution, particularly when the ... 2, PBending = 421 1 b2 ,. 37.

23 Sep 2020: Mathieu functions were also shown to be an effective tool for low-frequency scattering of a rigid (non-porous) plate in [24], where comparisons were made withsemi-analytical boundary integral methods.

10 Apr 2011: x2 x8!21 h x!2 h x8! 2,. 6! where the vortex sheet strengthg satisfies a Fredholm integral equation of the second kindg 1 2AmŪ@ g #• 1,hx! ... 51. u$Qk x1 Drf x,h x! • 1,hx!%. 7! For the problems of interest here, this integral equation haunique

27 Apr 2019: These can be foundfrom (3.3) and some simple integral evaluations:. [q](x, 0)2. = ... Choosing the Green’s function that satisfies ahomogeneous Dirichlet boundary condition on the x-axis, the boundary integral equations giverise to the following