Download Acta Numerica 1997 (Volume 6) by Arieh Iserles PDF

By Arieh Iserles

Acta Numerica surveys each year crucial advancements in numerical research. the themes and authors, selected through a exclusive foreign panel, supply a survey of articles impressive of their caliber and breadth. This quantity contains articles on multivariate integration; numerical research of semiconductor units; quickly transforms in utilized arithmetic; complexity matters in numerical research.

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Cools and A. Haegemans (1987a), 'Automatic computation of knots and weights of cubature formulae for circular symmetric planar regions', J. Comput. Appl. Math. 20, 153-158. R. Cools and A. Haegemans (19876), 'Construction of fully symmetric cubature formulae of degree 4k — 3 for fully symmetric planar regions', J. Comput. Appl. Math. 17, 173-180. R. Cools and A. Haegemans (1987c), Construction of minimal cubature formulae for the square and the triangle using invariant theory, Report TW 96, Dept.

P. Verlinden and R. Cools (1992), 'On cubature formulae of degree 4k + 1 attaining Moller's lower bound for integrals with circular symmetry', Numer. Math. 61, 395-407. P. Verlinden and A. Haegemans (1993), 'An error expansion for cubature with an integrand with homogeneous boundary singularities', Numer. Math. 65, 383406. S. Weifi (1991), Uber Kubaturformeln vom Grad 2k — 2, Master's thesis, Universitat Erlangen. J. W. Wissman and T. Becker (1986), 'Partially symmetric cubature formulas for even degrees of exactness', SIAM J.

J. N. Lyness and R. Cools (1994), A survey of numerical cubature over triangles, in Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics (W. ), Vol. 48 of Proceedings of Symposia in Applied Mathematics, AMS, Providence, RI, pp. 127-150. 52 R. COOLS J. N. Lyness and E. de Doncker (1993), 'Quadrature error expansions, II. The full corner singularity', Numer. Math. 64, 355-370. J. N. Lyness and E. de Doncker-Kapenga (1987), 'On quadrature error expansions, part F, J. Comput.

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