
Variational Assimilation of Surface Wave Data for Bathymetry Reconstruction. Part II: Second Order Adjoint Sensitivity Analysis
By: R. A. Khan and N. K.-R. Kevlahan
References
- Barrett, R, et al. 1994. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. Society for Industrial and Applied Mathematics. DOI: 10.1137/1.9781611971538
- Kevlahan, N, Khan, R and Protas, B. 2019. On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations. In: Adv Comput Math, 45: 3195–3216. DOI: 10.1007/s10444-019-09733-6
- Khan, RA and Kevlahan, NK-R. 2021. Variational assimilation of surface wave data for bathymetry reconstruction. Part I: algorithm and test cases. DOI: 10.1080/16000870.2021.1976907
- Nakamura, K, et al. 2006. Sequential Data Assimilation: Information Fusion of a Numerical Simulation and Large Scale Observation Data. In: Journal of Universal Computing, 12(6): 608–626.
- Shutyaev, V, Le Dimet, F-X and Parmuzin, E. 2018. Sensitivity analysis with respect to observations in variational data assimilation for parameter estimation. In: Nonlinear Processes in Geophysics, 25(2): 429–439. DOI: 10.5194/npg-25-429-2018
- Wang, Z, Navon, I, Le Dimet, F-X and Zou, X. Jan. 1992. The second order adjoint analysis: Theory and applications. In: Meteorology and Atmospheric Physics, 50: 3–20. DOI: 10.1007/BF01025501
DOI: https://doi.org/10.16993/tellusa.36 | Journal eISSN: 3035-9554
Language: English
Page range: 187 - 203
Submitted on: Feb 18, 2022
Accepted on: Feb 18, 2022
Published on: Apr 14, 2022
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
Keywords:
© 2022 R. A. Khan, N. K.-R. Kevlahan, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.