AbstractIn addition we present projection methods for reducing the dimension of the space the state of the system resides in in weak constraint 4D-Var. We apply the control theoretic balanced truncation model reduction method, and introduce randomised projection methods, sometimes known as sketching methods to the data assimilation setting.
Numerical experiments with the linear advection-diffusion equation, the shallow water equations and the nonlinear Lorenz-95 model demonstrate the effectiveness of applying these methods when compared to solving the data assimilation problem with standard approaches.
|Date of Award||19 Sept 2019|
|Supervisor||Melina Freitag (Supervisor) & Mark Opmeer (Supervisor)|