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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 -
On Spectral Inclusion Sets and Computing theSpectra and Pseudospectra …
www.damtp.cam.ac.uk/research/afha/workshops/cid2014/ChandlerWilde.pdf23 Jul 2014: specessA = {λ C : AλI not Fredholm on E},specεA = spec A {λ C : ‖(AλI )1‖ > 1/ε}. ... For A L(E ) and ε > 0, we put. spec A = {λ C : AλI not invertible on E},specessA = {λ C : AλI not Fredholm on E},. -
Georg Maierhofer - Hooke Research Fellow at the University of Oxford
www.damtp.cam.ac.uk/user/gam37/1 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. -
Arieh Iserles: Research My main research is on various ...
www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Research.html3 Aug 2016: Spectral theory of highly oscillatory Fredholm operators, e.g. the Fox–Li equation in both its operator-theoretic and computational aspects;. -
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. ... Nørsett, "The spectral problem for a class of highly oscillatory Fredholm differential equations" IMA J. -
COMPUTING SPECTRA – ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND…
www.damtp.cam.ac.uk/research/afha/anders/SCI_FINAL.pdf20 Nov 2023: COMPUTING SPECTRA – ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND TOWERS OF ALGORITHMS. J. BEN-ARTZI, M. J. COLBROOK, A. C. HANSEN, O. NEVANLINNA, AND M. SEIDEL. ABSTRACT. This paper establishes the Solvability Complexity Index (SCI) hierarchy -
hop07spec.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_05.pdf10 Apr 2008: corresponding to a Fredholm integral operator of rank 2. Its (unique) solution is given by. ... There are two numerical challenges commonly associated with Fredholm operators of thesecond kind. -
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. -
On the infinite-dimensional QR algorithm Matthew J. Colbrook*† and ...
www.damtp.cam.ac.uk/research/afha/anders/InfQR_COLBROOK.pdf6 Dec 2020: σess(T) = {z C : T zI is not Fredholm}, ress(T) = sup{|z| : z σess(T)}. -
Complexity Issues in Computing Spectra, Pseudospectra and Resolvents…
www.damtp.cam.ac.uk/research/afha/anders/Banach_Hansen_Nevanlinna_edit2.pdf22 Oct 2016: Complexity Issues in Computing Spectra, Pseudospectra. and Resolvents. Anders C. HansenDAMTP, Centre for Mathematical Sciences. University of CambridgeWilberforce Rd, Cambridge CB3 0WA. United Kingdom. Olavi NevanlinnaDepartment of Mathematics and
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