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 …

Monte Carlo is one of the most versatile and widely used numerical methods. Its
convergence rate, O (N− 1/2), is independent of dimension, which shows Monte Carlo to be …

Quasi–Monte Carlo methods have become an increasingly popular alternative to Monte
Carlo methods over the last two decades. Their successful implementation on practical …

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 …

At the nanoscale, no circuit parameters are truly deterministic; most quantities of practical
interest present themselves as probability distributions. Thus, Monte Carlo techniques …

In this paper, the potential benefits of quasi-Monte Carlo (QMC) methods for uncertainty
propagation are assessed via two applications: a numerical case study and a realistic and …

Nowadays, much of the world has a regional air pollution strategy to limit and decrease the
pollution levels across governmental borders and control their impact on human health and …

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 …

Harald Niederreiter Arne Winterhof Page 1 Applied Number Theory Harald Niederreiter Arne
Winterhof Page 2 Applied Number Theory Page 3 Page 4 Harald Niederreiter • Arne Winterhof …

Uncertainty analysis (UA) is the process that quantitatively identifies and characterizes the
output uncertainty and has a crucial implication in engineering applications. The research of …