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  2. Banded, stable, skew-symmetricdifferentiation matrices of high order…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2015_03.pdf
    9 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.
  3. On fundamentals of models and sampling in compressed sensing ...

    www.damtp.cam.ac.uk/research/afha/people/alexb/papers/CSModels.pdf
    10 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.
  4. Continuous Compressed Sensing of Inelastic and Quasielastic Helium…

    www.damtp.cam.ac.uk/research/afha/anders/CS4HAS_Arxiv_2.pdf
    4 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].
  5. Numerical stability in the presence of variable coefficients Ernst ...

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2013_10.pdf
    3 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
  6. On the absence of the RIP in real-world applications ...

    www.damtp.cam.ac.uk/research/afha/people/alexb/papers/ripl.pdf
    10 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.
  7. Continuous Compressed Sensing of Inelastic and Quasielastic Helium…

    www.damtp.cam.ac.uk/research/afha/people/anders/CS4HAS_Arxiv_2.pdf
    4 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].
  8. D26e.dvi

    www.damtp.cam.ac.uk/user/examples/D26e.pdf
    28 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
  9. The kissing polynomials and their Hankel determinants Alfredo Deaño, …

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2015_01.pdf
    27 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.
  10. On the discretisation of the semiclassical Schrödinger equation with …

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2015_02.pdf
    5 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,.
  11. On the Solvability Complexity Index, the n-Pseudospectrumand…

    www.damtp.cam.ac.uk/research/afha/anders/JAMS_Final_Preprint2.pdf
    8 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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