By Arieh Iserles
Acta Numerica surveys every year crucial advancements in numerical research. the themes and authors, selected by means of a uncommon overseas panel, offer a survey of articles notable of their caliber and breadth. This quantity contains articles on multivariate integration; numerical research of semiconductor units; speedy transforms in utilized arithmetic; complexity matters in numerical research.
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Extra info for Acta Numerica 1997 (Volume 6)
16, 10-24. V. I. Lebedev (1995), 'A quadrature formula for the sphere of 59th algebraic order of accuracy', Dokl. Math. 50, 283-286. V. I. Lebedev and A. L. Skorokhodov (1992), 'Quadrature formulas of orders 41, 47, and 53 for the sphere', Dokl. Math. 45, 587-592. T. Y. Li (1997), Numerical solution of multivariate polynomial systems by homotopy continuation methods, in Ada Numerica, Vol. 6, Cambridge University Press, pp. 399-436. J. N. Lyness (1976), 'An error functional expansion for TV-dimensional quadrature with an integrand function singular at a point', Math.
Taylor (1995), 'Cubature for the sphere and the discrete spherical harmonic transform', SIAM J. Numer. Anal. 32(2), 667-670. V. , 2 e serie 81, 123-134. 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.
Cools (1989), The construction of cubature formulae using invariant theory and ideal theory, PhD thesis, Katholieke Universiteit Leuven. R. Cools (1992), A survey of methods for constructing cubature formulae, in Numerical Integration - Recent Developments, Software and Applications (T. Espelid and A. Genz, eds), Vol. 357 of NATO ASI Series C: Math, and Phys. Sciences, Kluwer, Dordrecht, pp. 1-24. R. Cools and A. Haegemans (1987a), 'Automatic computation of knots and weights of cubature formulae for circular symmetric planar regions', J.
Acta Numerica 1997 (Volume 6) by Arieh Iserles