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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

23 Jul 2014: specessA = {λ C : AλI not Fredholm on E},specεA = spec A {λ C : ‖(AλI )1‖ > 1/ε}. ... For A L(E ) and ε > 0, we put. spec A = {λ C : AλI not invertible on E},specessA = {λ C : AλI not Fredholm on E},.

3 Aug 2016: Spectral theory of highly oscillatory Fredholm operators, e.g. the Fox–Li equation in both its operator-theoretic and computational aspects;.

1 May 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.

22 Feb 2024: H. Brunner, A. Iserles & S. Nørsett, "The computation of the spectra of highly oscillatory Fredholm integral operators", J. ... Nørsett, "The spectral problem for a class of highly oscillatory Fredholm differential equations" IMA J.

20 Nov 2023: COMPUTING SPECTRA – ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND TOWERS OF ALGORITHMS. J. BEN-ARTZI, M. J. COLBROOK, A. C. HANSEN, O. NEVANLINNA, AND M. SEIDEL. ABSTRACT. This paper establishes the Solvability Complexity Index (SCI) hierarchy

10 Apr 2008: corresponding to a Fredholm integral operator of rank 2. Its (unique) solution is given by. ... There are two numerical challenges commonly associated with Fredholm operators of thesecond kind.

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.

6 Dec 2020: σess(T) = {z C : T zI is not Fredholm}, ress(T) = sup{|z| : z σess(T)}.

22 Oct 2016: Complexity Issues in Computing Spectra, Pseudospectra. and Resolvents. Anders C. HansenDAMTP, Centre for Mathematical Sciences. University of CambridgeWilberforce Rd, Cambridge CB3 0WA. United Kingdom. Olavi NevanlinnaDepartment of Mathematics and

17 Aug 2023: use contour integration to convert to a linear pencil. 14. Technical point: Spd 𝑇 = 𝜆 Sp 𝑇 :𝜆 isolated,𝑇 𝜆 Fredholm , Spess 𝑇 = Sp 𝑇 Spd 𝑇.

26 Mar 2011: However, in the case at hand wecan say more. There are explicit formulae for the Fredholm determinants ofWiener–Hopf operators with rational symbols. ... Iserles, and S. P. Nørsett, The spectral problem for a class ofhighly oscillatory Fredholm

29 Jan 2019: σess(T) = {z C : T zI is not Fredholm}, ress(T) = sup{|z| : z σess(T)}.

17 Mar 2010: Amer. Math. soc. 130 (2001), 1755–1764. [14] F. J. Dyson, Fredholm determinants and inverse scattering problems. ... Commun.Math. Phys. 47 (1976), 171–183. [15] T. Ehrhardt, Dyson’s constant in the asymptotics of the Fredholm determinantof the sine

25 Jan 2007: Unfortunately, in general,vector RH problems cannot be solved in closed form; their solution can be given in terms of linear integralequations of Fredholm type. ... where C is the unit circle.This equation can be solved in closed form because the

15 Jul 2023: Spd 𝑇 = 𝜆 Sp 𝑇 : 𝜆 isolated, 𝑇 𝜆 Fredholm.

26 Jul 2023: Sp 𝑇 = 𝜆 Ω: 𝑇 𝜆 is not invertible. Spd 𝑇 = 𝜆 Sp 𝑇 : 𝜆 isolated, 𝑇 𝜆 Fredholm.

16 Jul 2018: Algebraic SBTs typically representthe flow around a rigid body through a one-dimensional Fredholm equation of thesecond kind. ... Similarly to other SBT treatments,these relationships are either linear or a one-dimensional Fredholm equation of thesecond

15 Jul 2023: Spd 𝑇 = 𝜆 Sp 𝑇 : 𝜆 isolated, 𝑇 𝜆 Fredholm.

30 Jul 2010: described, then for W(aλ)to be Fredholm it is necessary that |ϕ(ξ)| = O(log |ξ|) as |ξ|. ... 11] H. Brunner, A. Iserles, and S. P. Nørsett, The computation of the spectra of highlyoscillatory Fredholm integral operators.