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  2. Alexei Shadrin - List of Publications

    www.damtp.cam.ac.uk/user/na/people/Alexei/list1.html
    1 Sep 2011: with K. Scherer). New upper bound for the B-spline basis condition number II. ... with K. Scherer). New upper bound for the B-spline basis condition number,.
  3. cond1.dvi

    www.damtp.cam.ac.uk/user/na/people/Alexei/papers/cond1.pdf
    1 Sep 2011: New upper bound for the B-spline basiscondition numberK. SchererInstitut fur Angewandte Mathematik, Universitat Bonn, 53115 Bonn, GermanyandA. ... A survey, in ApproximationTheory II" (G.G.Lorentz et al, Eds.), pp. 1-49, Academic Press, New York, 1976.[4]
  4. Who is Responsible

    www.damtp.cam.ac.uk/user/pvl/cambourne.pdf
    31 Mar 2011: New residential areas should include some workshop spaces attached to homes, to facilitate homeworking. ... If excluded from new community they would require additional support at a cost. •
  5. cond2.dvi

    www.damtp.cam.ac.uk/user/na/people/Alexei/papers/cond2.pdf
    1 Sep 2011: G. Law and B. N. Sahney, Eds.), pp.120{145,Academic Press, New York, 1976.[B3] C. ... Scherer, A. Yu. Shadrin, New upper bound for the B-spline basis conditionnumber I, East J.
  6. dblp.dvi

    www.damtp.cam.ac.uk/user/na/people/Alexei/papers/dblp.pdf
    1 Sep 2011: x7 containsome new results.
  7. The Fox–Li operator as a test and a spur ...

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_06.pdf
    26 Mar 2011: New York J. Math. 16(2010), 539–561. [5] A. Böttcher, S. Grudsky, D. ... Silbermann, Analysis of Toeplitz Operators. 2nd edition,Springer-Verlag, Berlin, Heidelberg, New York, 2006.
  8. Efficient computation of delay differential equations with highly…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_03.pdf
    18 Mar 2011: 3 Few examples. It is a sound policy to try any new computational tool on a number of examples:although general theory assures us of the efficacy of our approach, numerical
  9. 1 Generalized sampling, infinite-dimensionalcompressed sensing, and…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_13.pdf
    22 Nov 2011: In [2], [7] a new approach, generalized sampling (GS), wasintroduced as an alternative to consistent reconstructions. ... Fortunately, the new techniqueof sem-random subsampling, which we introduce in the nextsection, circumvents this barrier.
  10. Highly Oscillatory Diffusion-Type Equations Sevda Ü. Altınbaşak…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_14.pdf
    25 Nov 2011: November 25, 2011. Abstract. We explore new asymptotic-numeric solvers for partial differential equationswith highly oscillatory forcing terms. ... Num. Anal. 28, 862–887. John, F. (1982), Partial Differential Equations, Springer-Verlag, New York.
  11. DAMTP 2010/NA04 Beyond symmetric Broyden for updating quadratic…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2010_04.pdf
    13 Apr 2011: t=xkdk being that the new value is. always included in the interpolation conditions (1.6) on Qk1. ... new. The three different forms of F, mentioned in Section 1, are givenbelow.
  12. db6a.dvi

    www.damtp.cam.ac.uk/user/na/people/Alexei/papers/mult.pdf
    1 Sep 2011: G. Lorentz, Ed.), pp. 269{276, Acad. Pres, New York, 1973.[B3] C. ... G. Law and B. N. Sahney, Eds.), pp.120{145, AcademicPress, New York, 1976.[B5] C.
  13. Asymptotic solvers for ordinary differential equations with multiple…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_11.pdf
    13 Aug 2011: 2009a), it serves as a valuable warm-up exercise and allows usto introduce a raft of new concepts and notation – indeed, to sketch a newparadigm for the numerical discretization of highly
  14. DAMTP 2011/NA01 On the convergence of trust region algorithms ...

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_01.pdf
    23 Sep 2011: Then y. iwas the new interpolation point xd of the -th iteration, for. ... Thus a “beta”step can cause the new sum Γk1 =. ni=1 ‖yi y.
  15. Generalized Sampling: Extension to Frames and Inverse andIll-Posed…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_17.pdf
    3 Dec 2011: Hansen † Evelyn Herrholz ‡ Gerd Teschke‡. Abstract. Generalized sampling is new framework for sampling and reconstruction in infinite-dimensionalHilbert spaces. ... 2.3 The new approachTo compensate for the problems that consistent reconstructions
  16. revision.dvi

    www.damtp.cam.ac.uk/user/na/people/Alexei/papers/kmon.pdf
    1 Sep 2011: technique for k = 3 and p = obtaining ananalogue of (1.2), but it became clear that, for general k N, new ideas are required. ... M. Cwikel, J. Peetre, Y. Sagher, and H. Wallin(Lecture Notes in Mathematics, Springer, New York/Berlin, 1988), pp.
  17. psim413.dvi

    www.damtp.cam.ac.uk/user/na/people/Alexei/papers/dmeng.pdf
    1 Sep 2011: for every subsequent new case of Theorem 2, we use some symbols F, f,f1, f2, etc., from the previous notation, for the functions that dier from case to case.We ... Theory,Lorentz, G.G., Ed., New York: Academic Press, 1973, pp. 269{276.2. De Boor, C., On
  18. Generalized sampling and the stable and accuratereconstruction of…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_12.pdf
    22 Nov 2011: Thisgeneralizes a result proved recently for piecewise Legendre polynomials. The method developed in this paper is part of new numerical framework for sampling and reconstruc-tion in abstract Hilbert spaces, known ... Introduced by D. Gottlieb et al [35],
  19. mds6_00.dvi

    www.damtp.cam.ac.uk/user/na/people/Alexei/papers/mds6_00.pdf
    1 Sep 2011: However, further extensions ofboth methods, even to the majorants (1x2)m/2, are hardly possible, and that was our motivationfor searching a new method. ... 2.2 New results. Definition 2.1 Denote by the class of polynomials ω such that.
  20. Generalized sampling and infinite-dimensionalcompressed sensing Ben…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_02.pdf
    2 Nov 2011: So, why do we get such a great result with this new approach? ... We shall present further numerical examples illustratingthe effectiveness of this new approach in 8.
  21. spn0.dvi

    www.damtp.cam.ac.uk/user/na/people/Alexei/papers/spn0.pdf
    1 Sep 2011: New postal address: DAMTP. Cambridge University. Silver Street. Cambridge CB3 9EW. ... England. new e-mail: a.shadrin@damtp.cam.ac.uk. Abstract. We prove that the L-norm of the L2-projector P onto the spline space Sk() is boundedindependently of the

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