4 citations · 6 across the 6 of their papers we have counts for
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Space-Time Decomposition of Kalman Filter
Luisa D'Amore, Rosalba Cacciapuoti
We present an innovative interpretation of Kalman Filter (KF, for short) combining the ideas of Schwarz Domain Decomposition (DD) and Parallel in Time (PinT) approaches. Thereafter…
Sensitivity Analysis of Domain Decomposition method for 4D Variational Data Assimilation (DD-4DVAR DA)
Luisa D'Amore, Rosalba Cacciapuoti
We prove consistence, convergence and stability of the Domain Decomposition in space and time method of 4DVAR Data Assimilation problem. We introduce the condition number of the pr…
DD-DA PinT-based model: A Domain Decomposition approach in space and time, based on Parareal, for solving the 4D-Var Data Assimilation model
Luisa D'Amore, Rosalba Cacciapuoti
We present the mathematical framework of a Domain Decomposition (DD) aproach based on Parallel-in-Time methods (PinT-based approach) for solving the 4D-Var Data Assimilation (DA) m…
A remark on Domain Decomposition approaches solving Three Dimensional Variational Data Assimilation models
Luisa D'Amore, Rosalba Cacciapuoti
Data Assimilation (DA) is a methodology for combining mathematical models simulating complex systems (the background knowledge) and measurements (the reality or observational data)…