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14 Sep 2005: Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, WilberforceRd, Cambridge CB3 0WA, UK, email: S.Olver@damtp.cam.ac.uk. ... σs2[f] is a combination of f and its first s 1 derivatives.

21 Sep 2005: Olver3. 1 Department of Applied Mathematics and Theoretical Physics, Centre forMathematical Sciences, University of Cambridge, Wilberforce Road, CambridgeCB3 0WA, United Kingdom, A.Iserles@damtp.cam.ac.uk. ... 3 Department of Applied Mathematics and

15 Aug 2005: Explicit Magnus expansions for nonlinear equations. Fernando Casasa and Arieh Iserlesba Departament de Matemàtiques, Universitat Jaume I, 12071-Castellón, Spainb Department of Applied Mathematics and Theoretical Physics, University ofCambridge,

24 Feb 2005: Interlacing property for B-splines. Simon Foucart. Department of Applied Mathematics and Theoretical Physics, University ofCambridge, Wilberforce Road, Cambridge, CB3 0WA, UK. ... where N w0,.,wnt0,.,tn1 := αwn1,.,w0t0,.,tn1 (0, n 1) M. w0,.,wnt0,.,tn1.

29 Jan 2005: X′ = [N, X]X X[N, X], t 0, X(0) = X0 Sym(n), (1.2)Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, email. ... abloch@umich.edu.†Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical. Sciences,

3 Oct 2005: Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, WilberforceRd, Cambridge CB3 0WA, UK, email: S.Olver@damtp.cam.ac.uk. ... Thus,by assumption,. Ig [f, ] i=0. 1(iω)id1. Θi[f] ,. where Θi[f] depends on Dmf for

17 Feb 2005: AMS Subject Classification: Primary 65D32, Secondary 41A60, 41A63Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences,. ... Wilberforce Rd, Cambridge CB3 0WA, UK, email: A.Iserles@damtp.cam.ac.uk.†Department of

26 Sep 2005: Arieh Iserles. Department of Applied Mathematics and Theoretical Physics,. University of Cambridge, England. ... Hence it is not at all clearto most applied mathematicians that Lie groups are really very useful objects alsoin applied and computational