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Status: Unchecked ×Keyword: nonlinear partial differential equations ×Clear all

2 claims from 1 paper

1. Physics and Astronomy › Model Reduction and Neural Networks

   Modeling partially observed nonlinear dynamical systems and efficient data assimilation via discrete-time conditional Gaussian Koopman network

   Chen, Wang, Chen and Wu · Computer Methods in Applied Mechanics and Engineering · 2025

   Unchecked2 claims
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   1. Unchecked“The modeled system of the observed and latent states then becomes a conditional Gaussian system, for which the posterior distribution of the latent states is Gaussian and can be efficiently evaluated via analytical formulae.”
   2. Unchecked“The performance of discrete-time CGKN is demonstrated on several canonical problems governed by nonlinear PDEs with intermittency and turbulent features, including the viscous Burgers' equation, the Kuramoto-Sivashinsky equation, and the 2-D Navier-Stokes eq…