Multilevel Monte Carlo (MLMC) Methods

Multilevel Monte Carlo (MLMC) is a variance reduction strategy designed to estimate the expected value of a random variable P when the exact simulation is computationally expensive. Instead of sampling only from a high-fidelity model, MLMC uses a hierarchy of models with increasing accuracy and cost.

A step-by-step algorithm and an illustrative example are included in Optimal Variance Reduction via Multilevel Monte Carlo (MLMC) Methods

Copyright 2012-2026