5 papers
Generative Modelling of Stochastic Rotating Shallow Water Noise
Dan Crisan, Oana Lang, Alexander Lobbe
In recent work, the authors have developed a generic methodology for calibrating the noise in fluid dynamics stochastic partial differential equations where the stochasticity was i…
Global solutions for stochastically controlled fluid dynamics models
Dan Crisan, Oana Lang
For a class of evolution equations that possibly have only local solutions, we introduce a stochastic component that ensures that the solutions of the corresponding stochastically…
Noise calibration for the stochastic rotating shallow water model
Dan Crisan, Oana Lang, Alexander Lobbe +2
Stochastic partial differential equations have been used in a variety of contexts to model the evolution of uncertain dynamical systems. In recent years, their applications to geop…
Comparison of Stochastic Parametrization Schemes using Data Assimilation on Triad Models
Bertrand Chapron, Dan Crisan, Darryl Holm +3
In recent years, stochastic parametrizations have been ubiquitous in modelling uncertainty in fluid dynamics models. One source of model uncertainty comes from the coarse graining…
Bayesian Inference for Fluid Dynamics: A Case Study for the Stochastic Rotating Shallow Water Model
Peter Jan van Leeuwen, Dan Crisan, Oana Lang +1
In this work, we use a tempering-based adaptive particle filter to infer from a partially observed stochastic rotating shallow water (SRSW) model which has been derived using the S…