Abstract
In this work, we numerically and theoretically study the finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging (BFN) techniques. The proof of the continuous data assimilation algorithm is given under the assumption that the coupling parameter is larger than a constant depending on the reference solution. To adjust the realistic situation that the observational measurement is collected discretely in time, the discrete data assimilation algorithm is also studied and the convergence of the algorithm is proven under the assumption that the assimilated time step is smaller than a constant depending on the reference solution. Finally, several numerical experiments with linear and nonlinear back and forth nudging techniques are presented to confirm the theoretical results studied in this work and also ensure the robustness of the algorithm.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
