Experiment parameters for publication "Convergence analysis of a full discretization of operator-valued differential Riccati equations"

# DRE space-time discretization experimental setup Archives the parameters and data used for the numerical experiments in the paper E. Hansen, T. Stillfjord, T. {\Aa}berg,*Convergence analysis of a full discretization of operator-valued differential Riccati equations*,arXiv:2604.25411 [math.NA], 2026, https://doi.org/10.48550/arXiv.2604.25411. ## parameters.mat Summarizes the main important parameters, including how the DRE coefficient matrices are constructed.The initial parameters are the same for every discretization, but a spatial discretization level$k \in 2, \ldots, 8$ needs to be specified for the final cell. ## fem_constants.mat Contains pre-computed stiffness and mass matrices for the necessary spatial discretizations. Alsocontains pre-computed Cholesky factorizations of the mass matrices, for operator-norm computations,and extrapolation matrices required to interpret coarse-scale approximations as fine-scale approximations. ## S_H2func.mat The $\xi$ function used to define the operator $B$ and thus $S = BB^*$, sampled on a uniformlydistributed 2D grid with 256 x 256 grid points. ## P0_H2func.mat The $\zeta$ function used to define the operator $L$ and thus $P_0 = L^*L$, sampled on a uniformlydistributed 2D grid with 256 x 256 grid points.