3 papers
math.NA2025
Data Assimilation Models for Computing Probability Distributions of Complex Multiscale Systems
Di Qi, Jian-Guo Liu
We introduce a data assimilation strategy aimed at accurately capturing key non-Gaussian structures in probability distributions using a small ensemble size. A major challenge in s…
nlin.CD2024
Oscillatory solutions at the continuum limit of Lorenz 96 systems
Di Qi, Jian-Guo Liu
In this paper, we study the generation and propagation of oscillatory solutions observed in the widely used Lorenz 96 (L96) systems. First, period-two oscillations between adjacent…
math-ph2024
Coupled Stochastic-Statistical Equations for Filtering Multiscale Turbulent Systems
Di Qi, Jian-Guo Liu
We present a new strategy for filtering high-dimensional multiscale systems characterized by high-order non-Gaussian statistics using observations from leading-order moments. A clo…