Uncertainty Quantification for Coarse-Grained Molecular Dynamics

This lecture explores the role of asymptotics in uncertainty quantification for coarse-grained molecular dynamics, focusing on the macroeconomics of aerospace materials, modeling-based decisions, and the economics of coarse-grained molecular dynamics. It delves into the challenges of coordinate reduction, the importance of uncertainty quantification in decision-making, and the implications of multipole expansions in model reduction. The lecture also discusses the complexities of non-rigid bodies and the definition of transferability in computational chemistry and applied mathematics, highlighting the limitations and open questions in the field.