Comparative numerical analysis using reduced-order modeling strategies for nonlinear large-scale systems

We perform a comparative analysis using three reduced-order strategies-Missing Point Estimation (MPE) method, Gappy POD method, and Discrete Empirical Interpolation Method (DEIM)-applied to a biological model describing the spatio-temporal dynamics of a predator-prey community. The comparative study is focused on the efficiency of the reduced-order approximations and the complexity reduction of the nonlinear terms. Different variants are discussed related to the projection-based model reduction framework combined with selective spatial sampling to efficiently perform the online computations. Numerical results are presented.