Parameter Estimation for the Truncated KdV Model through a Direct Filter Method
Numerical Analysis
2023-04-18 v2 Numerical Analysis
Optimization and Control
Abstract
In this work, we develop a computational method that to provide realtime detection for water bottom topography based on observations on surface measurements, and we design an inverse problem to achieve this task. The forward model that we use to describe the feature of water surface is the truncated KdV equation, and we formulate the inversion mechanism as an online parameter estimation problem, which is solved by a direct filter method. Numerical experiments are carried out to show that our method can effectively detect abrupt changes of water depth.
Keywords
Cite
@article{arxiv.2301.07797,
title = {Parameter Estimation for the Truncated KdV Model through a Direct Filter Method},
author = {Hui Sun and Nick Moore and Feng Bao},
journal= {arXiv preprint arXiv:2301.07797},
year = {2023}
}