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24 Feb 2005: 7 Chebyshevian B-splines. We recall some properties of Chebyshevian B-splines that are to play a majorrole in the last section. ... Remark 12 Some particular attention should be devoted to the interest-ing case of the B-spline M wt0,.,tn1 := M.

21 Sep 2005: A com-prehensive theory exists, as things stand, only in one dimension, hence wefocus on g : [a,b] R and study the case of g′(ξ) = 0 for some ξ ... Thus, we choose nodes a = c1 < c2 < < cν = b, takingcare to include ξ: thus, cr = ξ for some r {2,.

14 Sep 2005: Theorem 2 Let s be some positive integer, let {xk}ν0 be a set of node points such that a = x0 <x1 < < xν = b, and let {mk}ν0 be a set ... Theorem 3 Suppose that g′(x) 6= 0 for x [a,b]. Let {ψk}n0 be a basis of functions independentof ω and let s

15 Aug 2005: important case of isospectral flows. In section 3 we construct some numerical schemes. ... whereas for the new matrix B one gets, after some algebra,.

17 Feb 2005: For example, suppose that g′(y) = 0, g′′(y) 6= 0, for some y (a, b)and g′(x) 6= 0 for x [a, b] {y}. ... Thus, em-ploying the requisite linear transformations, the terms on the right in the asymptoticexpansion (6.3) are each of the form I[f̃ , Sd1

30 Sep 2005: above. By taking the radius of the circle to zero, and some calorons to infinity,. ... affects the monopole solution. This isn’t too hard — it just amounts to adding some.

7 Nov 2005: Hence. p̃ αṽ α2ũ , (2.1b). † Note that the lower and upper branches are some-times referred to as branches 1 and 2 respectively. ... In some sense this is the equivalent scaling for PPFto the famous ‘triple-deck’ scaling for boundary-layer

19 Sep 2005: Questions:Why are some remote effects of El Nino felt instantaneously and others many yearslater? ... 4.2 Some basic facts about rotation and stratification in 3-D. (i).

26 Sep 2005: Example 2.3 Let LA denote the linear vector field on RN , given by some matrix. ... However, inorder to construct practical solution algorithms we need to make some additionalassumptions about g.