Data assimilation for the stochastic Camassa-Holm equation using particle filtering: a numerical investigation

Autor:	Cotter, Colin John, Crisan, Dan, Singh, Maneesh Kumar
Rok vydání:	2024
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	In this study, we explore data assimilation for the Stochastic Camassa-Holm equation through the application of the particle filtering framework. Specifically, our approach integrates adaptive tempering, jittering, and nudging techniques to construct an advanced particle filtering system. All filtering processes are executed utilizing ensemble parallelism. We conduct extensive numerical experiments across various scenarios of the Stochastic Camassa-Holm model with transport noise and viscosity to examine the impact of different filtering procedures on the performance of the data assimilation process. Our analysis focuses on how observational data and the data assimilation step influence the accuracy and uncertainty of the obtained results. Comment: Submitted for STUOD 2024 volume
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.06927 Zobrazit plný text záznamu View this record from Arxiv