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11 Jun 2024: Analysis of collocation methods for Fredholm integral equations. In collaboration with Prof. ... Convergence analysis of least-squares oversampled collocation methods for Fredholm integral equations.

19 Jun 2024: 2011). 1. (doi: 10.1109/MLSP.2011.6064632). The computation of the spectra of highly oscillatory fredholm integral operators. ... H Brunner, A Iserles, SP Norsett. – Journal of Integral Equations and Applications.

26 Jan 2017: NA2009/03: Hermann Brunner, Arieh Iserles & Syvert Nørsett, "The computation of the spectra of highly oscillatory Fredholm integral operators". ... NA2008/05: Hermann Brunner, Arieh Iserles & Syvert Nørsett, "The spectral problem for a class of highly

19 Jun 2024: The Astrophysical Journal. (2008). 689,. 377. (doi: 10.1086/592374). The spectral problem for a class of highly oscillatory Fredholm integral operators.

30 Nov 2009: Spectra of highly oscillatory Fredholm integral operators 15. =. 1. 1Pm(x) cos ωxdx. ... Spectra of highly oscillatory Fredholm integral operators 29. 3.5 Large-n asymptotics.

10 Apr 2008: Hence, the eigenvalues λ1,. , λr of thisfinite-rank Fredholm integral operator do not depend on ω. ... corresponding to a Fredholm integral operator of rank 2. Its (unique) solution is given by.

22 Feb 2024: H. Brunner, A. Iserles & S. Nørsett, "The computation of the spectra of highly oscillatory Fredholm integral operators", J. ... Integral Eqns & Applcs 23 (2011), 467–519. D. Huybrechs, A. Iserles & S.P.

26 Mar 2011: Iserles, and S. P. Nørsett, The spectral problem for a class ofhighly oscillatory Fredholm integral equations. ... P. Nørsett, The computation of the spectra ofhighly oscillatory Fredholm integral operators.

28 Feb 2012: Integral equations. Fredholm equations can be approximated by a variety of techniques (Atkinson 1997).Finite differences are a popular option: thus, for example, 1. ... Another problem associated with Fredholm equations is the calculation of thespectrum

29 Jan 2022: The common way to solve this Fredholm integral equation of the second kind is to use theiteration scheme under the assumption α 1 with f = f0 as initial guess [20]. ... It is represented by the dimensionless integral inEq. (12), and thus the diagonal

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