Ensemble Kalman filter for nonconservative moving mesh solvers with a joint physics and mesh location update

C Sampson, A Carrassi, A Aydoğdu… - Quarterly Journal of …, 2021 - Wiley Online Library
Numerical solvers using adaptive meshes can focus computational power on important
regions of a model domain capturing important or unresolved physics. The adaptation can …

Data assimilation using adaptive, non-conservative, moving mesh models

A Aydoğdu, A Carrassi, CT Guider… - Nonlinear Processes …, 2019 - npg.copernicus.org
Numerical models solved on adaptive moving meshes have become increasingly prevalent
in recent years. Motivating problems include the study of fluids in a Lagrangian frame and …

The convergence of stochastic differential equations to their linearisation in small noise limits

L Blake, J Maclean, S Balasuriya - arxiv preprint arxiv:2309.16334, 2023 - arxiv.org
Prediction via deterministic continuous-time models will always be subject to model error, for
example due to unexplainable phenomena, uncertainties in any data driving the model, or …

Rigorous Convergence Bounds for Stochastic Differential Equations with Application to Uncertainty Quantification

L Blake, J Maclean, S Balasuriya - Available at SSRN 5043181 - papers.ssrn.com
Prediction via continuous-time models will always be subject to model error, for example
due to unexplainable phenomena, uncertainties in any data driving the model, or …

Methods of Ensemble Data Assimilation on Adaptive Moving Meshes

C Guider - 2019 - search.proquest.com
Numerical models solved on adaptive moving meshes have become increasingly prevalent
in recent years. In particular, neXtSIM is a 2D model of sea-ice that is numerically solved on …

[CITAZIONE][C] Computable Characterisations of Uncertainty in Differential Equations

LAA Blake - 2024