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  2. 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.
  3. 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: 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
  4. 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.
  5. TechReport.dvi

    mi.eng.cam.ac.uk/reports/svr-ftp/ng_tr529.pdf
    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′
  6. First-order trace formulas for the iterates of theFox–Li operator ...

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2010_08.pdf
    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.
  7. MATHEMATICAL TRIPOS Part IB Tuesday, 2 June, 2015 9:00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperIB_1.pdf
    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].
  8. 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.
  9. 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. 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].
  11. Geometric inverse problems with emphasis on two dimensions Gabriel ...

    https://www.dpmms.cam.ac.uk/~gpp24/GIP2D_driver.pdf
    1 Feb 2023: 9.3 The smoothing operator W9.3 The smoothing operator W 220. 9.4 Fredholm inversion formulas9.4 Fredholm inversion formulas 225. ... with prescribed zero Fourier modes. Chapter 99 discusses inversion formulas up to a Fredholm error and the.
  12. MATHEMATICAL TRIPOS Part II 2002 List of Courses Geometry ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/list_II.pdf
    17 Jun 2019: eiu2du =. πeiπ/4.]. Part II 2002. 26. A3/17 Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral equations of the second kind.
  13. 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: 17C Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral equations of the second kind.
  14. A programme for computational analysis in the age of data

    www.damtp.cam.ac.uk/user/mjc249/talks/SCI_talk_BANFF.pdf
    18 Apr 2023: Sp 𝑇 = 𝜆 Ω:𝑇 𝜆 is not invertible. Spd 𝑇 = 𝜆 Sp 𝑇 :𝑇 𝜆 Fredholm.
  15. 19 Dec 2022: With respect to the standard complex structure, there are N families of smooth holomorphicdiscs of index 2, and they are all Fredholm regular.
  16. D17L.dvi

    www.damtp.cam.ac.uk/user/examples/D17L.pdf
    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
  17. ANALYSIS II EXAMPLES 4 Michaelmas 2005 J. M. E. ...

    https://www.dpmms.cam.ac.uk/~martin/Teaching/an05-4.pdf
    19 Mar 2008: aK(x, y)f (y)dy h(x) is a contraction. Deduce. that, for λ sufficiently small, the (Fredholm) integral equation.
  18. Analysis of Partial Differential Equations Example sheet 3 (Chapter…

    https://www.dpmms.cam.ac.uk/~md384/example_sheet_PDE_3-v3.pdf
    11 Nov 2016: 6. (Fredholm Alternative) Let u H1() be a weak solution of the following Neumann problem:{b(x) u (A(x)u) = f in ,. A(x)u n = g on. (6). where
  19. Numerical Analysis Arieh IserlesCentre for Mathematical…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2012_01.pdf
    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
  20. 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.
  21. J. DIFFERENTIAL GEOMETRY17 (1982) 6 6 1 - 6 ...

    www.damtp.cam.ac.uk/user/tong/susy/morse.pdf
    19 Apr 2021: the Fredholm determinant for small fluctuations about the classical solution. However, in this case the nonzero eigenvalues cancel between bosons and.

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