168 citations · 254 across the 4 of their papers we have counts for
4 papers
Some Critical Issues for the "Equation-Free" Approach to Multiscale Modeling
Weinan E, Eric Vanden-Eijnden
The "equation-free'' approach has been proposed in recent years as a general framework for developing multiscale methods to efficiently capture the macroscale behavior of a system…
Matching Conditions in Atomistic-Continuum Modeling of Materials
Weinan E, Zhongyi Huang
A new class of matching condition between the atomistic and continuum regions is presented for the multi-scale modeling of crystals. They ensure the accurate passage of large scale…
Generalized Flows, Intrinsic Stochasticity, and Turbulent Transport
Weinan E, Eric Vanden Eijnden
The study of passive scalar transport in a turbulent velocity field leads naturally to the notion of generalized flows which are families of probability distributions on the space…
Statistical Theory for the Stochastic Burgers Equation in the Inviscid Limit
Weinan E, Eric Vanden Eijnden
A statistical theory is developed for the stochastic Burgers equation in the inviscid limit. Master equations for the probability density functions of velocity, velocity difference…