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Banded, stable, skew-symmetricdifferentiation matrices of high order…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2015_03.pdf9 Nov 2015: McLachlan, and N. Robidoux. Skew-adjoint finite differencemethods on nonuniform grids. New Zealand J. ... Academic Press,New York-London, 1974. mclachlan03sdo [6] R. I. McLachlan. Spatial discretization of partial differential equations withintegrals. -
On fundamentals of models and sampling in compressed sensing ...
www.damtp.cam.ac.uk/research/afha/people/alexb/papers/CSModels.pdf10 Jul 2015: Aiming to spur new research in this direction, we conclude this note with a listof open problems and topics for future research. ... Poon, and B. Roman. Breaking the coherence barrier: A new theory for compressed sensing.arXiv:1302.0561, 2014. -
Continuous Compressed Sensing of Inelastic and Quasielastic Helium…
www.damtp.cam.ac.uk/research/afha/anders/CS4HAS_Arxiv_2.pdf4 Oct 2015: the characteristics of the approxima-tion in the new basis rather than the truncated Fourier series. ... This new vibrational modes are called surface phononsdue to their localisation at the surface [24–26]. -
Numerical stability in the presence of variable coefficients Ernst ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2013_10.pdf3 Apr 2015: Needless to say, it is but an initial foray into a large and important areaand our results, while solving some long-standing problems, pose many new questions.These questions and further -
On the absence of the RIP in real-world applications ...
www.damtp.cam.ac.uk/research/afha/people/alexb/papers/ripl.pdf10 Jul 2015: To solve this problem, the new conceptsof asymptotic sparsity, asymptotic incoherence and multi-level sampling were introduced. ... We now introducethe fourth new concept in the new theory of compressive sensing: the RIP in levels. -
Continuous Compressed Sensing of Inelastic and Quasielastic Helium…
www.damtp.cam.ac.uk/research/afha/people/anders/CS4HAS_Arxiv_2.pdf4 Oct 2015: the characteristics of the approxima-tion in the new basis rather than the truncated Fourier series. ... This new vibrational modes are called surface phononsdue to their localisation at the surface [24–26]. -
D26e.dvi
www.damtp.cam.ac.uk/user/examples/D26e.pdf28 Sep 2015: Cop. yrig. ht. 201. 5 U. nive. rsity. of C. ambr. idge. Not. to b. e qu. oted. or. repr. oduc. ed w. ithou. t per. mis. sion. Dynamical Systems. M. R. E. ProctorDAMTP, University of Cambridge. Michaelmas Term 2011. cM.R.E.Proctor 2010(These notes -
The kissing polynomials and their Hankel determinants Alfredo Deaño, …
www.damtp.cam.ac.uk/user/na/NA_papers/NA2015_01.pdf27 Apr 2015: The kissing polynomials and their. Hankel determinants. Alfredo Deaño, Daan Huybrechs and Arieh Iserles. April 28, 2015. Abstract. We study a family of polynomials that are orthogonal with respect to theweight function eiωx in [1, 1], where ω 0. -
On the discretisation of the semiclassical Schrödinger equation with …
www.damtp.cam.ac.uk/user/na/NA_papers/NA2015_02.pdf5 May 2015: ε(2k1)σ1. )for k 2. In these new splittings terms. of size O(ε(2k)σ1. ... With this new notation. in place, the Magnus expansions Θ̃ε3 and Θ̃ε4 can be presented more concisely,. -
On the Solvability Complexity Index, the n-Pseudospectrumand…
www.damtp.cam.ac.uk/research/afha/anders/JAMS_Final_Preprint2.pdf8 Nov 2015: We also introduce a new classificationtool for spectral problems, namely, the Solvability Complexity Index. ... Define a new set {x̃ij(n)}, depending onan integer n, in the following way: x̃j,jk(n) = n if |xj,jk| > n and x̃ij(n) = xij elsewhere.
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