The precision frontier in collider physics is being pushed at impressive speed, from both the
experimental and the theoretical side. The aim of this review is to give an overview of recent …

This paper reviews the multilevel Monte Carlo path simulation method for estimating option
prices in computational finance, and extends it by combining it with quasi-Monte Carlo …

We present the calculation of the cross section and invariant mass distribution for Higgs
boson pair production in gluon fusion at next-to-leading order (NLO) in QCD. Top-quark …

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 …

A bstract We study the effects of the exact top quark mass-dependent two-loop corrections to
Higgs boson pair production by gluon fusion at the LHC and at a 100 TeV hadron collider …

Multivariate normal and t probabilities are needed for statistical inference in many
applications. Modern statistical computation packages provide functions for the computation …

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the
engineering, mathematical, and scientific communities with significant developments in …

This is the second volume of a three-volume set comprising a comprehensive study of the
tractability of multivariate problems. The second volume deals with algorithms using …

The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

Direction numbers for generating Sobol ' sequences that satisfy the so-called Property A in
up to 1111 dimensions have previously been given in Joe and Kuo ACM Trans. Math …