Acta Numerica 1997:
Cambridge University Press, Jul 10, 1997 - Mathematics - 557 pages
Numerical analysis is the subject of applied mathematics concerned mainly with using computers in evaluating or approximating mathematical models. As such, it is crucial to all applications of mathematics in science and engineering, as well as being an important discipline on its own. Acta Numerica surveys annually the most important developments in numerical analysis and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important developments in the subject in a manner accessible to the wider community of professionals with an interest in scientific computing.
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Acta Numerica algebraic degree attain the lower attaining the bound basic invariant polynomials basic orthogonal polynomials bound of Theorem common zeros construct cubature formulae construction of cubature cubature formula 7.1 cubature formulae attaining cube d-orthogonal Definition degree 2k dimensions dimP dimV formula of degree formula Q formulae of algebraic formulae of odd formulae of trigonometric formulae that attain fundamental of degree G-basis G-orbit Hence Hilbert function ideal 21 ideal theory interpolatory cubature formula invariant theory invariant w.r.t. lattice rules linearly independent lower bound Lyness method to construct minimal cubature formulae Monte Carlo method Morrow and Patterson Mysovskikh 1981 NG(a number of points overall degree polynomial ideal polynomials of degree positive weights Proof quadrature formulae quasi-Monte Carlo methods region and weight Richardson extrapolation standard regions Stroud symmetric cubature formulae symmetry group Theorem 7.1 transformations trigonometric degree trigonometric monomial trigonometric polynomials vanish variables vector space weight function w(x Zaremba index