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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.

15 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.

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.

15 Jun 2024: 29,. 1. (link to publication). The spectral problem for a class of highly oscillatory Fredholm integral operators.

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.

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

21 Apr 2006: We may therefore express the imaging process by the Fredholm integral,. ... x, y, z) = δ (xp) δ (z z0).Expressing the Fredholm integral of Equation 1 in terms of xp and yp, we obtaing (x, y, t) =. h (x′ cos θ y′

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.

5 Dec 2023: problem, approximation in L1 vs L2. 5. Fredholm Theory and linear integral equations.

6 Chebyshev polynomial approximations. of second kind Fredholm integral equations with symmetric kernel containingMacDonald’s function of the complex order K1/2iτ (x). ... It consists of numerical solutionof the second kind Fredholm integral equation

14] V. S. Rabinovich, S. Roch and J. Roe: Fredholm indices of band-dominatedoperators, Integral Equations Operator Theory 49 (2004), 221–238. ... 15] V. S. Rabinovich, S. Roch and B. Silbermann: Fredholm Theory andFinite Section Method for

JR,Jρ. )given by (6.1). Let σ be a (signed). finite measure supported on R+ such that the Fredholm integral equation. ... Thus we arrive at the Fredholm integral equation. y Ky = ψ, (7.17).

17 Jun 2019: Show that theSturm–Liouville equation can be written as a so-called Fredholm integral equation of theform. ... iv) Derive the Fredholm integral equation for the Sturm–Liouville equation on theinterval [0,1].

17 Jun 2019: Deduce that. H =. [. 910. (ξ20 ξ2. )]1/3 in ξ0 < ξ < ξ00 in |ξ| > ξ0 ,. where. X(t) = ξ0. (A3gt. ν. )1/5. Express ξ0 in terms of the integral. ... 17C Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral

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.

Meury 3. Fredholm alternative. To this end, most authors have studied the integral operators intrinsicallyon Γ. ... ζ H1/2(divΓ, Γ), q H1/2(curlΓ, Γ). Since we aim to apply the powerful Fredholm alternative argument, compactness properties ofthe

Key Words: inverse gravimetric problem, gravimetry, non–uniqueness, nullspace, ill–posed, regularisation, Newton potential, minimal norm, harmonicdensity, Fredholm integral equation, scaling function, wavelet, multiresolu-tion analysis.

In particular, we identify the Fredholm deter-minant of the integral equation inverting the nonlocal ̄-dressing problem with the τ -function. ... In particular we show, as one mayexpect from works [68, 70, 77, 30], that the τ-function of the

19 Mar 2008: aK(x, y)f (y)dy h(x) is a contraction. Deduce. that, for λ sufficiently small, the (Fredholm) integral equation.

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