Uncertainty Quantification for Molecular Dynamics

The goals of this chapter are twofold. First, we wish to introduce molecular dynamics (MD) and uncertainty quantification (UQ) in a common setting in order to demonstrate how the latter can increase confidence in the former. In some cases, this discussion culminates in our providing practical, mathematical tools that can be used to answer the question, "is this simulation reliable?" However, many questions remain unanswered. Thus, a second goal of this work is to highlight open problems where progress would aid the larger community.