This paper is a contemporary review of QMC ('quasi-Monte Carlo') methods, that is, equal-
weight rules for the approximate evaluation of high-dimensional integrals over the unit cube …

While Fubini's theorem states that the integral of a function on the s-dimensional unit cube
can be computed simply by computing iterated integrals, the attempt of doing so for a …

The book is devoted to the theory of algebraic geometric codes, a subject formed on the
border of several domains of mathematics. on one side there are such classical areas as …

Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on
algebraic curves over finite fields have been an important research topic for algebraic …

Random scrambling of deterministic (t, m, s)-nets and (t, s)-sequences eliminates their
inherent bias while retaining their low-discrepancy properties. This article describes an …

Z ba f. u/du D F. b/F. a/;(4.1) where the function F is an antiderivative of the integrand f. What
you are often not told is that there are many cases where F cannot be expressed in finite …

Integration lattices are one of the main types of low discrepancy sets used in quasi-Monte
Carlo methods. However, they have the disadvantage of being of fixed size. This article …

We define a Walsh space which contains all functions whose partial mixed derivatives up to
order δ≥1 exist and have finite variation. In particular, for a suitable choice of parameters …

These tables record results on curves with many points over finite fields. For relatively small
genus ($0\leq g\leq 50$) and $ q $ a small power of $2 $ or $3 $ we give in two tables the …

Halton sequences have always been quite popular with practitioners, in part because of
their intuitive definition and ease of implementation. However, in their original form, these …