Download e-book for kindle: Acta Numerica 1997 (Volume 6) by Arieh Iserles

By Arieh Iserles

ISBN-10: 0521591066

ISBN-13: 9780521591065

Acta Numerica surveys each year an important advancements in numerical research. the topics and authors, selected by means of a exotic foreign panel, offer a survey of articles extraordinary of their caliber and breadth. This quantity contains articles on multivariate integration; numerical research of semiconductor units; speedy transforms in utilized arithmetic; complexity concerns in numerical research.

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Extra info for Acta Numerica 1997 (Volume 6)

Sample text

Following that, we searched for better bounds that, at least in the two-dimensional case, are attained for the trigonometric degree case. The rest of our time we spent on the most difficult and interesting algebraic degree case and ended with two approaches to constructing such formulae. From the above, it is clear that solving systems of polynomial equations is very near to our heart. We therefore welcome the survey of Li (1997) in this volume. Our list of references may seem long, yet it is incomplete.

Mantel and P. Rabinowitz (1977), 'The application of integer programming to the computation of fully symmetric integration formulas in two and three dimensions', SIAM J. Numer. Anal. 14, 391-425. J. C. Maxwell (1877), 'On approximate multiple integration between limits of summation', Proc. Cambridge Philos. Soc. 3, 39-47. H. M. Moller (1973), Polynomideale und Kubaturformeln, PhD thesis, Universitat Dortmund. H. M. Moller (1976), 'Kubaturformeln mit minimaler Knotenzahl', Numer. Math. 25, 185-200.

25-35. R. Gebauer and H. M. Moller (1988), 'On an installation of Buchberger's algorithm', /. Symb. Computation 6, 275-286. J. L. Gout and A. Guessab (1986), 'Sur les formules de quadrature numerique a nombre minimal de noeuds d'integration', Numer. Math. 49, 439-455. W. Grobner (1949), Moderne Algebraische Geometrie, Springer, Wien. CONSTRUCTING CUBATURE FORMULAE 51 A. Grundmann and H. M. Moller (1978), 'Invariant integration formulas for the n-simplex by combinatorial methods', SIAM J. Numer.

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Acta Numerica 1997 (Volume 6) by Arieh Iserles

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