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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. ... Publications. Stability and asymptotic

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. ... Publications. Stability and asymptotic

11 Jun 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.

26 Jan 2017: NA2008/05: Hermann Brunner, Arieh Iserles & Syvert Nørsett, "The spectral problem for a class of highly oscillatory Fredholm differential equations". ... NA2004/02: Arieh Iserles, "On the method of Neumann series for highly oscillatory equations".

28 Jun 2024: 2011). 1. (doi: 10.1109/MLSP.2011.6064632). The computation of the spectra of highly oscillatory fredholm integral operators. ... H Brunner, A Iserles, SP Norsett. – Journal of Integral Equations and Applications.

10 Apr 2008: Therange of issues that we wish eventually to bring under scrutiny include spectral problemsfor Fredholm operators, and also the solution of Fredholm and Volterra equations, all withhighly oscillatory kernels. ... 9406). They alsowish to acknowledge

22 Feb 2024: Singh, "Efficient methods for time-dependence in semiclassical Schrödinger equations", Proc. Royal Soc. ... Nørsett, "The spectral problem for a class of highly oscillatory Fredholm differential equations" IMA J.

6 Dec 2020: Mathematics Subject Classification (2010): 47A10, 65J10, 46N40, 03D55. 1 IntroductionSpectral computations are ubiquitous in the sciences with applications in solutions to differential and in-tegral equations, spline functions, orthogonal polynomials

26 Mar 2011: Iserles, and S. P. Nørsett, The spectral problem for a class ofhighly oscillatory Fredholm integral equations. ... J. Integral Equations Appl.,to appear. [11] J. A. Cochran, The existence of eigenvalues for the integral equations of lasertheory.

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