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4. Recent advances in higher order quasi-Monte Carlo methods

4. Recent advances in higher order quasi-Monte Carlo methods

In this article, we review some of the recent results on higher order quasi- Monte Carlo (HoQMC) methods. After a seminal work by Dick (2007, 2008) who originally introduced the concept of HoQMC, there has been significant theoretical progress on HoQMC in terms of discrepancy as well as multivariate numerical …