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  2. 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.
  3. 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.
  4. 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.
  5. Paper2A.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_03.pdf
    30 Nov 2009: In this paper we attempt to apply similar methodology to thecomputation of spectra of highly oscillatory Fredholm operators, of a form ubiquitous in lasertheory. ... It follows readily from standard theory of Fredholm operators (cf. for example
  6. 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.
  7. 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.
  8. 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
  9. hop07spec.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_05.pdf
    10 Apr 2008: There are two numerical challenges commonly associated with Fredholm operators of thesecond kind. ... This includesthe Li–Fox oscillator (1.5) and other Fredholm operators of relevance in applications.
  10. 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
  11. Sufficiency of Favard’s condition for a class of band-dominated ...

    https://api.newton.ac.uk/website/v0/events/preprints/NI07065
    its limit operators considered as acting on (Z, U ). Key words: limit operator, Favard condition, Fredholm operator, Wiener algebra. 1 Introduction. ... 17] S. Roch: Band-dominated operators on pspaces: Fredholm indices and finitesections, Acta Sci.
  12. 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.
  13. Arieh Iserles: Research My main research is on various ...

    www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Research.html
    3 Aug 2016: Spectral theory of highly oscillatory Fredholm operators, e.g. the Fox–Li equation in both its operator-theoretic and computational aspects;.
  14. The bead process on the torus - CMIH - The Centre for Mathematical…

    https://archive.cmih.maths.cam.ac.uk/events-archive/the-bead-process-on-the-torus/
    We develop a continuous version of Kasteleyn theory to show that partition functions for bead configurations on T_n may be expressed in terms of Fredholm determinants of certain operators on
  15. TCM Publications in 1997

    www.tcm.phy.cam.ac.uk/publications/Pubs1997.html
    2 Jun 2015: O.F. BANDTLOW, I. ANTONIOU and Z. SUCHANECKI "Resonances of Dynamical Systems and Fredholm-Riesz Operators on Rigged Hilbert Spaces" Computers & Mathematics with Applications 34, 95-102 (1997).
  16. Search Publications | Publications

    https://publications.maths.cam.ac.uk/publications-search?page=513
    29 May 2024: The computation of the spectra of highly oscillatory fredholm integral operators.
  17. Limit Operators, Collective Compactness, and the Spectral Theory of…

    https://api.newton.ac.uk/website/v0/events/preprints/NI08017
    infinite matrices, limit operators, collective compactness, Fredholm. operators, spectral theory. viii. ... Lange and Rabinovich [44], inspired by and building on Muhamadiev’s paper[59], carry the idea of (semi-)Fredholm studies by means of limit
  18. MATHEMATICAL TRIPOS Part III Friday, 5 June, 2009 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2009/Paper8.pdf
    30 Aug 2019: b) Show that an operator is Fredholm if and only if it is invertible modulo thecompact operators. ... c) Show that the Fredholm operators are open in B(H) and that the index isnorm continuous.
  19. On Spectral Inclusion Sets and Computing theSpectra and Pseudospectra …

    www.damtp.cam.ac.uk/research/afha/workshops/cid2014/ChandlerWilde.pdf
    23 Jul 2014: Fredholm operators. Simon Chandler-Wilde Spectral Inclusion Sets for Spectra and Pseudospectra. ... Fredholm operators. Definition. A : E E is a Fredholm operatorif α := dim(ker A) and β := codim(im A) are both finite.The difference αβ is then called
  20. MATHEMATICAL TRIPOS Part II Alternative B Thursday 6 June ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIIB_4.pdf
    17 Jun 2019: Define a Fredholm operator T , on a Hilbert space H, and define the index of T. ... not using anytheorems about Fredholm operators) that, for each k Z, there is a Fredholm operator Son H with ind S = k.
  21. Taming Discretization Challenges for Nonlinear Eigenvalue Problems

    www.damtp.cam.ac.uk/user/mjc249/talks/INI_NEP_mjc.pdf
    26 Jul 2023: Spess 𝑇 = Sp 𝑇 Spd 𝑇. Most applications of NEPs involve differential operators. ... Comput. Math., 2022.• Webb, Olver, “Spectra of Jacobi operators via connection coefficient matrices,” Commun.

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