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2 Jul 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

2 Jul 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".

2 Jul 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

29 Jan 2019: 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

17 Mar 2010: Widom, Two remarks on spectral approximations forWiener–Hopf operators. J. Integral Equations Appl. ... Nørsett, The spectral problem for a classof highly oscillatory Fredholm differential equations.

25 Oct 2018: ential equations inside a compact domain Rn. But our approach should leave youwith many questions. ... Green's Functions for Ordinary Differential Equations. The Fredholm Alternative. Green's functions.

26 Nov 2016: as the method of characteristics, which you met first in 1A Differential Equations. ... Green's Functions for Ordinary Differential Equations. The Fredholm Alternative. Green's functions.

23 Jan 2004: that. ‖K‖ 14 ‖etÃF̃ etÃ‖h2 O(h3).(2.1)Therefore ‖K‖ scales with h2, rather than with h in standard applications ofNeumann expansions to, say, Fredholm equations of the second ... 561–599. 10. , Think globally, act locally: Solving

1 May 2024: Numerical experiments are includedfor the two-dimensional Helmholtz equation. Keywords Fredholm Integral Equations Collocation Methods Least-squares oversampling Convergence Analysis. ... In the present work, we are interested in the study of

30 Jul 2010: described, then for W(aλ)to be Fredholm it is necessary that |ϕ(ξ)| = O(log |ξ|) as |ξ|. ... J.Integral Equations Appl. 6 (1994), 267–301. [7] A. Böttcher, H. Brunner, A.

12 Nov 2010: Specifically, the eigenvalues are λ = a(x), where x satisfiesone of the equations. ... ϕτ (t) = (1 iω)eiωt (1 iω)eiωt. (2.8). Now note that equation (2.3) is equivalent to the satisfaction of one of the two equations.

21 Sep 2005: Evenmore ambitious goal is the analysis of highly oscillatory Fredholm equationsof the second kind. ... Oscillatory Integrals, Princeton University Press, Princeton, NJ.Ursell, F. (1969), ‘Integral equations with a rapidly oscillating kernel’, J.

27 Apr 2019: This enables us to write the Helmholtz, modified Helmholtzand Laplace equations, respectively, in the form. ... Choosing the Green’s function that satisfies ahomogeneous Dirichlet boundary condition on the x-axis, the boundary integral equations