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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=572 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. -
Paper2A.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_03.pdf30 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. -
Publications | Cantab Capital Institute for the Mathematics of…
www.damtp.cam.ac.uk/research/ccimi/publications?page=692 Jul 2024: 2009). 2,. 1129. (doi: 10.1137/080728548). The spectral problem for a class of highly oscillatory Fredholm integral operators. -
hop07spec.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_05.pdf10 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. -
Numerical analysis preprints, 2001–2010 2010: NA2010/01: Arieh…
www.damtp.cam.ac.uk/user/na/NA_Group/Reports01_10.html26 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 -
TechReport.dvi
mi.eng.cam.ac.uk/reports/svr-ftp/ng_tr529.pdf21 Apr 2006: We may therefore express the imaging process by the Fredholm integral,. ... x, y, z) = δ (xp) δ (z z0).Expressing the Fredholm integral of Equation 1 in terms of xp and yp, we obtaing (x, y, t) =. h (x′ cos θ y′ -
Publications: Refereed Journals Jing Gao & Arieh Iserles, "A …
www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Papers.html22 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. -
Homerton College
https://www.homerton.cam.ac.uk/sites/default/files/jonathan_beswick_prize_2023-24_0.pdf5 Dec 2023: problem, approximation in L1 vs L2. 5. Fredholm Theory and linear integral equations. -
Chebyshev polynomial approximations for some hypergeometric systems…
https://api.newton.ac.uk/website/v0/events/preprints/NI090596 Chebyshev polynomial approximations. of second kind Fredholm integral equations with symmetric kernel containingMacDonald’s function of the complex order K1/2iτ (x). ... It consists of numerical solutionof the second kind Fredholm integral equation -
Sufficiency of Favard’s condition for a class of band-dominated ...
https://api.newton.ac.uk/website/v0/events/preprints/NI0706514] V. S. Rabinovich, S. Roch and J. Roe: Fredholm indices of band-dominatedoperators, Integral Equations Operator Theory 49 (2004), 221–238. ... 15] V. S. Rabinovich, S. Roch and B. Silbermann: Fredholm Theory andFinite Section Method for -
A CONTINUOUS ANALOG OF THE BINARY DARBOUXTRANSFORMATION FOR THE ...
https://api.newton.ac.uk/website/v0/events/preprints/NI22026JR,Jρ. )given by (6.1). Let σ be a (signed). finite measure supported on R+ such that the Fredholm integral equation. ... Thus we arrive at the Fredholm integral equation. y Ky = ψ, (7.17). -
MATHEMATICAL TRIPOS Part IB Tuesday, 2 June, 2015 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperIB_1.pdf17 Jun 2019: Show that theSturm–Liouville equation can be written as a so-called Fredholm integral equation of theform. ... iv) Derive the Fredholm integral equation for the Sturm–Liouville equation on theinterval [0,1]. -
MATHEMATICAL TRIPOS Part II Alternative A Wednesday 5 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIIA_3.pdf17 Jun 2019: Deduce that. H =. [. 910. (ξ20 ξ2. )]1/3 in ξ0 < ξ < ξ00 in |ξ| > ξ0 ,. where. X(t) = ξ0. (A3gt. ν. )1/5. Express ξ0 in terms of the integral. ... 17C Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral -
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. ... P. Nørsett, The computation of the spectra ofhighly oscillatory Fredholm integral operators. -
Stabilized FEM-BEM Coupling for Maxwell Transmission Problems R.…
https://api.newton.ac.uk/website/v0/events/preprints/NI07012Meury 3. Fredholm alternative. To this end, most authors have studied the integral operators intrinsicallyon Γ. ... ζ H1/2(divΓ, Γ), q H1/2(curlΓ, Γ). Since we aim to apply the powerful Fredholm alternative argument, compactness properties ofthe -
ANALYSIS II EXAMPLES 4 Michaelmas 2005 J. M. E. ...
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/an05-4.pdf19 Mar 2008: aK(x, y)f (y)dy h(x) is a contraction. Deduce. that, for λ sufficiently small, the (Fredholm) integral equation. -
Paper.dvi
https://api.newton.ac.uk/website/v0/events/preprints/NI08020Key Words: inverse gravimetric problem, gravimetry, non–uniqueness, nullspace, ill–posed, regularisation, Newton potential, minimal norm, harmonicdensity, Fredholm integral equation, scaling function, wavelet, multiresolu-tion analysis. -
Desargues.dvi
https://api.newton.ac.uk/website/v0/events/preprints/NI09049In particular, we identify the Fredholm deter-minant of the integral equation inverting the nonlocal ̄-dressing problem with the τ -function. ... In particular we show, as one mayexpect from works [68, 70, 77, 30], that the τ-function of the -
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
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