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  2. 28 Jun 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 Jun 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 Jun 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=57
    28 Jun 2024: 2011). 1. (doi: 10.1109/MLSP.2011.6064632). The computation of the spectra of highly oscillatory fredholm integral operators.
  7. Publications | Cantab Capital Institute for the Mathematics of…

    www.damtp.cam.ac.uk/research/ccimi/publications?page=69
    28 Jun 2024: JR Norris. – ASTERISQUE. (2009). 93. (link to publication). The spectral problem for a class of highly oscillatory Fredholm integral operators.
  8. 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.
  9. 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.
  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. 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;.
  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. 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
  14. 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).
  15. 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
  16. 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.
  17. 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
  18. 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.
  19. 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.
  20. Index theorems for quantum graphs S A Fulling1,2,3, P ...

    https://api.newton.ac.uk/website/v0/events/preprints/NI07058
    index formulas for the exterior-derivative operators A introduced previously. First we need to review the basic notions concerning the Fredholm property and. ... eHm(e) into L2(Γ). All terms in T that involve derivatives of order less than m arecompact
  21. 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. ... P. Nørsett, The computation of the spectra ofhighly oscillatory Fredholm integral operators.

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