Density Matrix Renormalization for Model Reduction in Nonlinear Dynamics
arXiv:0707.4384 · doi:10.1103/PhysRevE.76.056707
Abstract
We present a novel approach for model reduction of nonlinear dynamical systems based on proper orthogonal decomposition (POD). Our method, derived from Density Matrix Renormalization Group (DMRG), provides a significant reduction in computational effort for the calculation of the reduced system, compared to a POD. The efficiency of the algorithm is tested on the one dimensional Burgers equations and a one dimensional equation of the Fisher type as nonlinear model systems.
12 pages, 12 figures