TW 259

R. Cools
The approximation of low-dimensional integrals: available tools and trends
This text describes several methods to approximate multivariate integrals. Cubature formulae that are exact for a space of polynomials and Monte Carlo methods are the best known. More recently developed methods such as quasi-Monte Carlo methods (including lattice rules), Smolyak rules and stochastic integration rules are also described. This short note describes the contents of a session keynote talk at the 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, August 24--29, 1997 in Berlin.

Abstract

report.pdf / mailto: R. Cools