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Georg Maierhofer - Hooke Research Fellow at the University of Oxford
www.damtp.cam.ac.uk/user/gam37/11 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. -
Publications | Cantab Capital Institute for the Mathematics of…
www.damtp.cam.ac.uk/research/ccimi/publications?page=5724 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. -
The Fox–Li operator as a test and a spur ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_06.pdf26 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. -
hop07spec.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_05.pdf10 Apr 2008: 2000 Mathematics Subject Classification: Primary: 45C05; Secondary: 65R20,45M05. Keywords: Complex-symmetric Fredholm integral operator, highly oscillatory kernel,asymptotic behaviour of spectrum, Fredholm integral equations, asymptotic behaviour -
On the infinite-dimensional QR algorithm Matthew J. Colbrook*† and ...
www.damtp.cam.ac.uk/research/afha/anders/InfQR_COLBROOK.pdf6 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 -
Numerical Analysis Arieh IserlesCentre for Mathematical…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2012_01.pdf28 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 -
On the infinite-dimensional QR algorithm Matthew J. Colbrook∗† and ...
www.damtp.cam.ac.uk/research/afha/people/anders/InfQR_COLBROOK.pdf29 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 -
Convergence analysis of oversampled collocation boundary element…
www.damtp.cam.ac.uk/user/gam37/preprints/preprint_oversampled_collocation_maierhoferhuybrechs.pdf1 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 -
First-order trace formulas for the iterates of theFox–Li operator ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2010_08.pdf30 Jul 2010: J.Integral Equations Appl. 6 (1994), 267–301. [7] A. Böttcher, H. Brunner, A. ... 11] H. Brunner, A. Iserles, and S. P. Nørsett, The computation of the spectra of highlyoscillatory Fredholm integral operators. -
Spectral theory of large Wiener–Hopf operators with complex-symmetric …
www.damtp.cam.ac.uk/user/na/NA_papers/NA2010_09.pdf12 Nov 2010: 279] made alreadyin [8]: ”The analysis of integral equations with general complex-symmetric kernels remains, atpresent, an art form in which each separate equation appears to necessitate treatment basedalmost solely on ... Specifically, the eigenvalues -
Foli_final.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2010_03.pdf17 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. -
The unified transform for mixed boundary condition problems in…
www.damtp.cam.ac.uk/user/mjc249/pdfs/UT_unbounded_domains_mjc.pdf27 Apr 2019: Other ways to treat boundary integral equations in cracked domainscan be found in [49,50]. ... Choosing the Green’s function that satisfies ahomogeneous Dirichlet boundary condition on the x-axis, the boundary integral equations giverise to the -
doi:
www.damtp.cam.ac.uk/user/lauga/papers/65.pdf26 Jul 2013: The linearity of the Stokes equations allows f the introduction and exploitation ofGreen’s functions. ... Derivatives of the Stokeslet singularityproduce other higher-order singularity solutions of the Stokes equations.
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