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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. 28 May 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series.
  4. Professor Arieh Iserles | Faculty of Mathematics

    https://www.maths.cam.ac.uk/person/ai10
    28 May 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series.
  5. Professor Arieh Iserles | Cantab Capital Institute for the…

    www.damtp.cam.ac.uk/research/ccimi/person/ai10
    28 May 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series.
  6. hop07spec.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_05.pdf
    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.
  7. Publications | Cantab Capital Institute for the Mathematics of…

    www.damtp.cam.ac.uk/research/ccimi/publications?page=68
    29 May 2024: The Astrophysical Journal. (2008). 689,. 377. (doi: 10.1086/592374). The spectral problem for a class of highly oscillatory Fredholm integral operators.
  8. Publications | Cantab Capital Institute for the Mathematics of…

    www.damtp.cam.ac.uk/research/ccimi/publications?page=57
    29 May 2024: 2011). 1,. 337. (doi: 10.1109/Allerton.2011.6120187). The computation of the spectra of highly oscillatory Fredholm integral operators.
  9. Paper2A.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_03.pdf
    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.
  10. Video & Audio: A polyfold lab report -…

    https://sms.cam.ac.uk/media/2548633
    I will survey various results on applications and extensions of Hofer-Wysocki-Zehnder's polyfold theory: - fiber products of polyfold Fredholm sections - equivariant transversality - existence and obstructions - equivariant fundamental class -
  11. Video & Audio: Constructing the virtual …

    https://sms.cam.ac.uk/media/2547068
    Consider a space XX, such as a compact space of JJ-holomorphic stable maps with closed domain, that is the zero set of a Fredholm operator.
  12. arX iv:2 211. 0113 9v1 [m ath- ph] 2 ...

    https://api.newton.ac.uk/website/v0/events/preprints/NI22003
    regular singularities by using their Fredholm determinant representation [8], and show that they. ... describe the pants decomposition, and briefly recap the construction of the Fredholm deter-.
  13. Numerical analysis preprints, 2001–2010 2010: NA2010/01: Arieh…

    www.damtp.cam.ac.uk/user/na/NA_Group/Reports01_10.html
    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
  14. 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.
  15. Sufficiency of Favard’s condition for a class of band-dominated ...

    https://api.newton.ac.uk/website/v0/events/preprints/NI07065
    v) A is Fredholm on one of the spaces Y. (vi) A is Fredholm on all the spaces Y. ... 17] S. Roch: Band-dominated operators on pspaces: Fredholm indices and finitesections, Acta Sci.
  16. Limit Operators, Collective Compactness, and the Spectral Theory of…

    https://api.newton.ac.uk/website/v0/events/preprints/NI08017
    If C is semi-Fredholm then α(C) β(C) is called theindex of C. ... 899) that L is Fredholm iff all the limitoperators of L are invertible.
  17. Index theorems for quantum graphs S A Fulling1,2,3, P ...

    https://api.newton.ac.uk/website/v0/events/preprints/NI07058
    of finite rank), then T K is also Fredholm and index(T K) = index T. ... This operator is Fredholm of. index E p. Therefore,index A = E p = E.
  18. Desargues.dvi

    https://api.newton.ac.uk/website/v0/events/preprints/NI09049
    In particular, we identify the Fredholm deter-minant of the integral equation inverting the nonlocal ̄-dressing problem with the τ -function. ... Then, by the Fredholm alternative, the homogeneousequation with η = 0 has only the trivial solution.
  19. Search Publications | Publications

    https://publications.maths.cam.ac.uk/publications-search?page=637
    29 May 2024: Search site. Publications. Uploading Images. Members of the Department can attach an image to a publication by clicking on the title of the publication in the listing below. Please note: all images attached to a publication will be visible on
  20. The Isospectral Dirac Operator on the 4-dimensional Quantum Euclidean …

    https://api.newton.ac.uk/website/v0/events/preprints/NI06056
    the Fredholm module canonically associated to the spectral triple to an ‘instanton’ projection e. ... With different representations a non-trivial Fredholm module was already constructed in [17].
  21. MATHEMATICAL TRIPOS Part III Friday, 3 June, 2011 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2011/paper_15.pdf
    30 Aug 2019: Part III, Paper 15. 3. 3. (i) Define Fredholm map, Fredholm operator, Fredholm index. ... iii) Prove that s As is Fredholm.[You may quote the Closed Range Lemma without proof].

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