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19 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.

19 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.

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

19 Jun 2024: 2011). 1. (doi: 10.1109/MLSP.2011.6064632). The computation of the spectra of highly oscillatory fredholm integral operators.

19 Jun 2024: The Astrophysical Journal. (2008). 689,. 377. (doi: 10.1086/592374). The spectral problem for a class of highly oscillatory Fredholm integral operators.

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

3 Aug 2016: Spectral theory of highly oscillatory Fredholm operators, e.g. the Fox–Li equation in both its operator-theoretic and computational aspects;.

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.

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.

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

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.

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.

30 Jul 2010: 2. Wiener–Hopf operators. We begin with the proof of Theorem 1.4. ... 11] H. Brunner, A. Iserles, and S. P. Nørsett, The computation of the spectra of highlyoscillatory Fredholm integral operators.

12 Nov 2010: Spectral theory of large Wiener–Hopf operators with. complex-symmetric kernels and rational symbols. ... cated Wiener–Hopf integral operators over increasing intervals. The kernel of the operatorsis complex-symmetric and has a rational Fourier

22 Jul 2022: not {0}.Second, it is also clear that such operators must be bounded for any d. ... We have now shown why periodic boundary conditions are a natural choice forpseudoergodic operators.

20 Nov 2023: For A , where is an appropriate domain of operators, we define theproblem functions. ... Given the different domains, we can now state the main theorem for bounded operators.

17 Mar 2010: Widom, Two remarks on spectral approximations forWiener–Hopf operators. J. Integral Equations Appl. ... P. Nørsett, The computation of the spectra ofhighly oscillatory Fredholm integral operators.

2 Nov 2018: 2011), ‘The computation of the spectra of highly. oscillatory Fredholm integral operators’, J.

22 Oct 2016: We then discuss compact operators and show thatthe spectrum can be computed using algorithms with index 1. ... We omitthe details. This gives us the obvious corollary for operators on finite dimensional Hilbert spaces.

15 Jun 2020: The new lower bounds demonstrate that the finite section method for compact operators isoptimal. ... Remark 2.5 (The solutions to the computational spectral problem for Schrödinger operators).