By Arieh Iserles
Acta Numerica surveys each year crucial advancements in numerical research. the themes and authors, selected via a extraordinary foreign panel, offer a survey of articles awesome of their caliber and breadth. This quantity contains articles on multivariate integration; numerical research of semiconductor units; quickly transforms in utilized arithmetic; complexity concerns in numerical research.
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Additional resources for Acta Numerica 1997 (Volume 6)
I. H. Sloan and P. J. Kachoyan (1987), 'Lattice mathods for multiple integration: theory, error analysis and examples', SI AM J. Numer. Anal. 24, 116-128. S. L. Sobolev (1962), 'The formulas of mechanical cubature on the surface of a sphere', Sibirsk. Mat. Z. 3, 769-796. Russian. A. H. Stroud (1960), 'Quadrature methods for functions of more than one variable', New York Acad. Sci. 86, 776-791. A. H. Stroud (1971), Approximate calculation of multiple integrals, Prentice-Hall, Englewood Cliffs, NJ.
Comp. 34, 213-225. J. N. Lyness and K. K. Puri (1973), 'The Euler-Maclaurin expansion for the simplex', Math. Comp. 27, 273-293. J. I. Maeztu and E. Sainz de la Maza (1995), 'Consistent structures of invariant quadrature rules for the n-simplex', Math. Comp. 64, 1171-1192. F. 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.
H. M. Moller and F. Mora (1986), 'New constructive methods in classical ideal theory', J. Algebra 100, 138-178. C. R. Morrow and T. N. L. Patterson (1978), 'Construction of algebraic cubature rules using polynomial ideal theory', SIAM J. Numer. Anal. 15, 953-976. I. P. Mysovskikh (1966), 'A proof of minimality of the number of nodes of a cubature formula for a hypersphere', Zh. Vychisl. Mat. Mat. Fiz. 6, 621-630. Russian. Published as I. P. Mysovskih 1966. I. P. Mysovskikh (1968), 'On the construction of cubature formulas with fewest nodes', Soviet Math.