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  2. 22 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.
  3. Publications | Cantab Capital Institute for the Mathematics of…

    www.damtp.cam.ac.uk/research/ccimi/publications?page=57
    2 Jun 2024: 2883. (doi: 10.1214/11-AOS924). The computation of the spectra of highly oscillatory Fredholm integral operators. ... H Brunner, A Iserles, SP Norsett. – Journal of Integral Equations and Applications.
  4. Homerton College

    https://www.homerton.cam.ac.uk/sites/default/files/jonathan_beswick_prize_2023-24_0.pdf
    5 Dec 2023: problem, approximation in L1 vs L2. 5. Fredholm Theory and linear integral equations.
  5. Chebyshev polynomial approximations for some hypergeometric systems…

    https://api.newton.ac.uk/website/v0/events/preprints/NI09059
    v1(0) = 1, v2(0) = 0,. or the system of Volterra 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).
  6. Search Publications | Publications

    https://publications.maths.cam.ac.uk/publications-search?page=515
    2 Jun 2024: The computation of the spectra of highly oscillatory Fredholm integral operators. ... H Brunner, A Iserles, SP Norsett – Journal of Integral Equations and Applications (2011) 23, 467.
  7. MATHEMATICAL TRIPOS Part II Alternative A Wednesday 5 June ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIIA_3.pdf
    17 Jun 2019: Gravity g acts vertically and surface tension is negligible. Assuming that the horizontal velocity component u and pressure p satisfy thelubrication equations. ... 17C Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral
  8. hop07spec.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_05.pdf
    10 Apr 2008: 2000 Mathematics Subject Classification: Primary: 45C05; Secondary: 65R20,45M05. Keywords: Complex-symmetric Fredholm integral operator, highly oscillatory kernel,asymptotic behaviour of spectrum, Fredholm integral equations, asymptotic behaviour
  9. Sufficiency of Favard’s condition for a class of band-dominated ...

    https://api.newton.ac.uk/website/v0/events/preprints/NI07065
    13] V. S. Rabinovich and S. Roch: The Fredholm index of locally compactband-dominated operators on Lp(R), Integral Equations and Operator Theory,57 (2007), 263–281. ... 14] V. S. Rabinovich, S. Roch and J. Roe: Fredholm indices of
  10. The Fox–Li operator as a test and a spur ...

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_06.pdf
    26 Mar 2011: Iserles, and S. P. Nørsett, The spectral problem for a class ofhighly oscillatory Fredholm integral equations. ... J. Integral Equations Appl.,to appear. [11] J. A. Cochran, The existence of eigenvalues for the integral equations of lasertheory.
  11. Submitted to the Annals of Statistics OPTIMAL DESIGN FOR ...

    https://api.newton.ac.uk/website/v0/events/preprints/NI11050
    a number of one-parameter models, we start with the following lemma, which results in thetheory of Fredholm-Volterra integral equations [see Mason and Handscomb(2002), Ch. ... H(u,v) =1. |u v|α(1 v2)(1α)/2.(4.9). It appears in the theory of

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