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  2. 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.
  3. 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.
  4. Publications: Refereed Journals Jing Gao & Arieh Iserles, "A …

    www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Papers.html
    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.
  5. COMPUTING SPECTRA – ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND…

    www.damtp.cam.ac.uk/research/afha/anders/SCI_FINAL.pdf
    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
  6. Nick_retirement_conference

    www.damtp.cam.ac.uk/user/mjc249/talks/Nick_NEP_mjc.pdf
    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.
  7. Imperial_NLEVPs

    www.damtp.cam.ac.uk/user/mjc249/talks/Imperial_NEP_mjc.pdf
    15 Jul 2023: Spd 𝑇 = 𝜆 Sp 𝑇 : 𝜆 isolated, 𝑇 𝜆 Fredholm.
  8. Convergence analysis of oversampled collocation boundary element…

    www.damtp.cam.ac.uk/user/gam37/preprints/preprint_oversampled_collocation_maierhoferhuybrechs.pdf
    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
  9. FoCM: Solve-the-discretize for NLEPS

    www.damtp.cam.ac.uk/user/mjc249/talks/FOCM_2023_NEP_mjc.pdf
    15 Jul 2023: Spd 𝑇 = 𝜆 Sp 𝑇 : 𝜆 isolated, 𝑇 𝜆 Fredholm.
  10. Taming Discretization Challenges for Nonlinear Eigenvalue Problems

    www.damtp.cam.ac.uk/user/mjc249/talks/INI_NEP_mjc.pdf
    26 Jul 2023: Sp 𝑇 = 𝜆 Ω: 𝑇 𝜆 is not invertible. Spd 𝑇 = 𝜆 Sp 𝑇 : 𝜆 isolated, 𝑇 𝜆 Fredholm.
  11. S-D NLEVPs

    www.damtp.cam.ac.uk/user/mjc249/talks/strathclyde_2023_NEP_mjc.pdf
    15 Jul 2023: Sp 𝑇 = 𝜆 Ω: 𝑇 𝜆 is not invertible. Spd 𝑇 = 𝜆 Sp 𝑇 : 𝜆 isolated, 𝑇 𝜆 Fredholm.

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