Monte Carlo method DQMOM

Vandermonde matrices often arise when reconstructing PDFs from their moments, and efficient numerical methods exist for solving (B.51) (Press et al. 1992). Although Vandermonde matrices are notoriously ill-conditioned for large Ne, this will usually not be a problem in applications of the DQMOM-IEM model since it is most attractive (relative to Monte-Carlo methods) when Ne is small. 

DQMOM does not provide a model for the unclosed terms. It is thus a computational method for approximating an Eulerian joint PDF given its closed transport equation. In this sense, DQMOM is an alternative to the Eulerian Monte-Carlo simulations introduced in Chapter 7. 

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