Search

22 May 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.

2 Jun 2024: 47,. 3397. (doi: 10.1137/070710779). The spectral problem for a class of highly oscillatory Fredholm integral operators.

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

2 Jun 2024: 2883. (doi: 10.1214/11-AOS924). The computation of the spectra of highly oscillatory Fredholm integral operators. ... H Brunner, A Iserles, SP Norsett. – Journal of Integral Equations and Applications.

30 Nov 2009: Spectra of highly oscillatory Fredholm integral operators 15. =. 1. 1Pm(x) cos ωxdx. ... Spectra of highly oscillatory Fredholm integral operators 29. 3.5 Large-n asymptotics.

10 Apr 2008: Hence, the eigenvalues λ1,. , λr of thisfinite-rank Fredholm integral operator do not depend on ω. ... corresponding to a Fredholm integral operator of rank 2. Its (unique) solution is given by.

22 Feb 2024: H. Brunner, A. Iserles & S. Nørsett, "The computation of the spectra of highly oscillatory Fredholm integral operators", J. ... Integral Eqns & Applcs 23 (2011), 467–519. D. Huybrechs, A. Iserles & S.P.

26 Mar 2011: Iserles, and S. P. Nørsett, The spectral problem for a class ofhighly oscillatory Fredholm integral equations. ... P. Nørsett, The computation of the spectra ofhighly oscillatory Fredholm integral operators.

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 2022: The common way to solve this Fredholm integral equation of the second kind is to use theiteration scheme under the assumption α 1 with f = f0 as initial guess [20]. ... It is represented by the dimensionless integral inEq. (12), and thus the diagonal

12 Nov 2010: cated Wiener–Hopf integral operators over increasing intervals. The kernel of the operatorsis complex-symmetric and has a rational Fourier transform. ... 0. k(t s)f(s) ds, t (0,τ). (1.1). We suppose that k is a function in L2(R), so that the integral

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: 3. An oscillatory multivariate integral. In this section we prove Theorem 1.1. ... 11] H. Brunner, A. Iserles, and S. P. Nørsett, The computation of the spectra of highlyoscillatory Fredholm integral 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.

26 Jul 2013: a boundary integral formulation of the Stokes equations. For both models, net locomotion can be. ... Eqn (21) is a well-posed. Fredholm integral equation of the second kind for the unknown.

2 Nov 2018: 2011), ‘The computation of the spectra of highly. oscillatory Fredholm integral operators’, J. ... Integral Equ. Appl. 23(4), 467–519. Deaño, A., Huybrechs, D. & Iserles, A.

26 Jul 2013: The slenderbody theory generates a system of Fredholm integral equa-tions of the first kind which are in general susceptible tooscillatory behavior or slow convergence in their numericalsolution, particularly when the ... 2, PBending = 421 1 b2 ,. 37.

23 Sep 2020: Mathieu functions were also shown to be an effective tool for low-frequency scattering of a rigid (non-porous) plate in [24], where comparisons were made withsemi-analytical boundary integral methods.

10 Apr 2011: x2 x8!21 h x!2 h x8! 2,. 6! where the vortex sheet strengthg satisfies a Fredholm integral equation of the second kindg 1 2AmŪ@ g #• 1,hx! ... 51. u$Qk x1 Drf x,h x! • 1,hx!%. 7! For the problems of interest here, this integral equation haunique

27 Apr 2019: These can be foundfrom (3.3) and some simple integral evaluations:. [q](x, 0)2. = ... Choosing the Green’s function that satisfies ahomogeneous Dirichlet boundary condition on the x-axis, the boundary integral equations giverise to the following

26 Jul 2013: 2008), in which the boundary integral formulation of the Stokesequations is accompanied by image singularity kernels which cancel the fluid velocityon the wall. ... One approach to computing this integral is through the use of aregularized kernel, Gδ,

6 Dec 2020: σess(T) = {z C : T zI is not Fredholm}, ress(T) = sup{|z| : z σess(T)}.

22 Oct 2016: Then one can simply use the Cauchy integral formula to obtain. ... Jacobi [29] studied such expansions, without the use of the Cauchy integral.

29 Jan 2019: σess(T) = {z C : T zI is not Fredholm}, ress(T) = sup{|z| : z σess(T)}.